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Page 1
Curriculum Aligned
Competency Based Test Items
Mathematics
Class - 7
Central Board of Secondary Education
Competency Based Test Items
Mathematics
Class - 7
Central Board of Secondary Education
Page 2
Table of Contents
Test Item
1 Integers ..............................................................................................................................03
2 Fractions and Decimals .....................................................................................................08
3 Data Handling....................................................................................................................11
4 Simple Equations...............................................................................................................15
5 Lines and Angles ...............................................................................................................18
6 The Triangle and its Properties ..........................................................................................21
7 Congruence of Triangles....................................................................................................25
8 Comparing Quantities ........................................................................................................29
9 Rational Numbers ..............................................................................................................32
10 Practical Geometry ............................................................................................................35
11 Perimeter and Area ............................................................................................................38
12 Algebraic Expressions .......................................................................................................41
13 Exponents and Powers .......................................................................................................44
14 Symmetry ..........................................................................................................................47
15 Visualising Solid Shapes ...................................................................................................50
Test Item
1 Integers ..............................................................................................................................03
2 Fractions and Decimals .....................................................................................................08
3 Data Handling....................................................................................................................11
4 Simple Equations...............................................................................................................15
5 Lines and Angles ...............................................................................................................18
6 The Triangle and its Properties ..........................................................................................21
7 Congruence of Triangles....................................................................................................25
8 Comparing Quantities ........................................................................................................29
9 Rational Numbers ..............................................................................................................32
10 Practical Geometry ............................................................................................................35
11 Perimeter and Area ............................................................................................................38
12 Algebraic Expressions .......................................................................................................41
13 Exponents and Powers .......................................................................................................44
14 Symmetry ..........................................................................................................................47
15 Visualising Solid Shapes ...................................................................................................50
Page 3
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Assessment Items
Mathematics
Class 7 – Chapter 1
Integers
A funfair has activities for both children and adults. Activities can have group or pair or individual
participation. The winner in an activity is decided on the basis of scores. For some activities there
are penalties. Penalty points are subtracted from the scores.
This table below shows the details about the games and their scoring.
Game Name Participation Activity Scoring/Penalty
Car Racing Individual Cars to race on Score points
a 4 metre wide, The participant who reaches the inish
1 kilometre line in the least amount of time gets 60
long circular points
track. Flags are 10 points are awarded for avoiding a
posted at an lag.
interval of 150
metres, on the Penalty points
track. 10 points are deducted for knocking a
Participants lag down.
have to avoid
the lags during
the race.
Trampoline Individual Jump 75 cm or Score points
Jumping more as many 5 points for each jump more than or
times as equal to 75 cm
possible in 1
minute Penalty points
2 points will be deducted for jumps
below 50 cm.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 03
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Assessment Items
Mathematics
Class 7 – Chapter 1
Integers
A funfair has activities for both children and adults. Activities can have group or pair or individual
participation. The winner in an activity is decided on the basis of scores. For some activities there
are penalties. Penalty points are subtracted from the scores.
This table below shows the details about the games and their scoring.
Game Name Participation Activity Scoring/Penalty
Car Racing Individual Cars to race on Score points
a 4 metre wide, The participant who reaches the inish
1 kilometre line in the least amount of time gets 60
long circular points
track. Flags are 10 points are awarded for avoiding a
posted at an lag.
interval of 150
metres, on the Penalty points
track. 10 points are deducted for knocking a
Participants lag down.
have to avoid
the lags during
the race.
Trampoline Individual Jump 75 cm or Score points
Jumping more as many 5 points for each jump more than or
times as equal to 75 cm
possible in 1
minute Penalty points
2 points will be deducted for jumps
below 50 cm.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 03
Page 4
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 1
Archery Individual Shoot an arrow Score points
on a target
board.
Penalty points
10 points will be deducted if the arrow
does not hit the board.
Paint ball (for Group Find a crown Score points
adults only) and hit 20 points for each paint ball hit on an
opposite teams opponent.
with a paint 100 points for getting the hidden
ball. crown
Penalty points
10 points for each paint ball hit
received
Jumping Jack (for Pair Tie shoe laces Score points
adults only) with the 50 points for reaching the destination
partner and Additional 10 points for reaching the
reach the destination irst
destination Penalty points
without falling 10 points for each fall
SAS21M07Q0101
1 Rohan and Samar compete in the car race.
Rohan’s car knocked down ive lags and Samar’s car knocked down one lag. Rohan reached the inish
line faster than Samar.
Who is the winner and how many points did he score?
Richa jumped 10 times in Trampoline jumping.
Her jump heights (in cm) are given below.
First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth
38 43 47 56 75 82 75 68 64 59
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 04
Class 7 − Chapter 1
Archery Individual Shoot an arrow Score points
on a target
board.
Penalty points
10 points will be deducted if the arrow
does not hit the board.
Paint ball (for Group Find a crown Score points
adults only) and hit 20 points for each paint ball hit on an
opposite teams opponent.
with a paint 100 points for getting the hidden
ball. crown
Penalty points
10 points for each paint ball hit
received
Jumping Jack (for Pair Tie shoe laces Score points
adults only) with the 50 points for reaching the destination
partner and Additional 10 points for reaching the
reach the destination irst
destination Penalty points
without falling 10 points for each fall
SAS21M07Q0101
1 Rohan and Samar compete in the car race.
Rohan’s car knocked down ive lags and Samar’s car knocked down one lag. Rohan reached the inish
line faster than Samar.
Who is the winner and how many points did he score?
Richa jumped 10 times in Trampoline jumping.
Her jump heights (in cm) are given below.
First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth
38 43 47 56 75 82 75 68 64 59
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 04
Page 5
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 1
SAS21M07Q0102
2 Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle ABC’.
Is Anshu correct? Justify your answer.
Jacob and Mariya participated in Archery.
Jacob’s scores for ive shots are given below.
First shot Second shot Third shot Fourth shot Fifth shot
0 4 8 10 6
Mariya’s scores for three shots are given below.
First shot Second shot Third shot
0 4 8
Mariya won the competition.
SAS21M07Q0103
3 How much she did score in her fourth and ifth shots?
SAS21M07Q0104
4 Team Alpha and Beta played the Paint Ball game. Each team had 6 members and each member shot the
paint ball three times.
Team Alpha hit the opponent team 12 times. Team Beta hit the opponent team 15 times.
Which team got more penalty points and how many penalty points did they get?
SAS21M07Q0105
5 In another match, each member of team Alpha got hit 3 times.
4 members hit back 5 times each and the rest hit back 2 times each.
Which calculation shows the team’s score?
A. 6 × [3 + (-10)] + 4 × (5 + 20) + 2 × (2 + 20)
B. 6 × [3 × (-10)] + 4 × (5 × 20) + 2 × (2 × 20)
C. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)
D. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 05
Class 7 − Chapter 1
SAS21M07Q0102
2 Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle ABC’.
Is Anshu correct? Justify your answer.
Jacob and Mariya participated in Archery.
Jacob’s scores for ive shots are given below.
First shot Second shot Third shot Fourth shot Fifth shot
0 4 8 10 6
Mariya’s scores for three shots are given below.
First shot Second shot Third shot
0 4 8
Mariya won the competition.
SAS21M07Q0103
3 How much she did score in her fourth and ifth shots?
SAS21M07Q0104
4 Team Alpha and Beta played the Paint Ball game. Each team had 6 members and each member shot the
paint ball three times.
Team Alpha hit the opponent team 12 times. Team Beta hit the opponent team 15 times.
Which team got more penalty points and how many penalty points did they get?
SAS21M07Q0105
5 In another match, each member of team Alpha got hit 3 times.
4 members hit back 5 times each and the rest hit back 2 times each.
Which calculation shows the team’s score?
A. 6 × [3 + (-10)] + 4 × (5 + 20) + 2 × (2 + 20)
B. 6 × [3 × (-10)] + 4 × (5 × 20) + 2 × (2 × 20)
C. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)
D. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 05
Page 6
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 1
SAS21M07Q0106
6 Team A and Team B participated in Jumping Jack competition. Team B reached the destination irst.
Can both team score equal points? Justify your answer.
SAS21M07Q0107
7 Joya played the following games.
Archery- Three shots with scores 10, 8 and 2.
Trampoline Jumping – Five jumps with scores 0, 5, 5, 5 and -2.
Jumping Jack - She lost the game and fell three times.
In which two games, are her scores equal?
Horizon Glacier is a cold place. The average temperature of the place is less than zero.
The maximum and minimum temperature (in °C) recorded for seven days in a week are given
below.
Sun Mon Tue Wed Thu Fri Sat
o o o o o o o o o o o o o o
-13 -23 -13 -24 -14 -24 -13 -22 -15 -23 -14 -23 -12 -21
SAS21M07Q0108
8 What was the lowest temperature recorded in the week?
A. –8°C
B. –12°C
C. –21°C
D. –24°C
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 06
Class 7 − Chapter 1
SAS21M07Q0106
6 Team A and Team B participated in Jumping Jack competition. Team B reached the destination irst.
Can both team score equal points? Justify your answer.
SAS21M07Q0107
7 Joya played the following games.
Archery- Three shots with scores 10, 8 and 2.
Trampoline Jumping – Five jumps with scores 0, 5, 5, 5 and -2.
Jumping Jack - She lost the game and fell three times.
In which two games, are her scores equal?
Horizon Glacier is a cold place. The average temperature of the place is less than zero.
The maximum and minimum temperature (in °C) recorded for seven days in a week are given
below.
Sun Mon Tue Wed Thu Fri Sat
o o o o o o o o o o o o o o
-13 -23 -13 -24 -14 -24 -13 -22 -15 -23 -14 -23 -12 -21
SAS21M07Q0108
8 What was the lowest temperature recorded in the week?
A. –8°C
B. –12°C
C. –21°C
D. –24°C
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 06
Page 7
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 1
SAS21M07Q0109
9 The average maximum temperature of Horizon Glacier for the week was –13.5°C.
On which days was the maximum temperature greater than the average maximum temperature?
SAS21M07Q0110
10 What is the difference between the maximum and minimum temperature on Friday?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 07
Class 7 − Chapter 1
SAS21M07Q0109
9 The average maximum temperature of Horizon Glacier for the week was –13.5°C.
On which days was the maximum temperature greater than the average maximum temperature?
SAS21M07Q0110
10 What is the difference between the maximum and minimum temperature on Friday?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 07
Page 8
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Assessment Items
Mathematics
Class 7 – Chapter 2
Fractions and Decimals
Shalini, Amber and Anant have dinner together. The bill for the dinner is Rs 3277.50.
They divide it among themselves.
SAS21M07Q0201
1 Shalini pays irst, she rounds her share amount to the nearest tens.
Amber pays next, he rounds his share amount to the nearest rupees.
The remaining amount is paid by Anant.
What is the amount paid by Anant?
SAS21M07Q0202
2 They have some starters, some drinks and the main course in the dinner.
One-third of the bill was for drinks and one- ifth for starters.
What amount is paid for the main course?
A. Rs 409.68
B. Rs 1092.50
C. Rs 1529.50
D. Rs 1748.00
SAS21M07Q0203
3 During the dinner, they have six glasses of drinks. Amber has one-half of them and Shalini has one-third
of them. Anant has rest of them.
How many glass/es does Anant have?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 08
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Assessment Items
Mathematics
Class 7 – Chapter 2
Fractions and Decimals
Shalini, Amber and Anant have dinner together. The bill for the dinner is Rs 3277.50.
They divide it among themselves.
SAS21M07Q0201
1 Shalini pays irst, she rounds her share amount to the nearest tens.
Amber pays next, he rounds his share amount to the nearest rupees.
The remaining amount is paid by Anant.
What is the amount paid by Anant?
SAS21M07Q0202
2 They have some starters, some drinks and the main course in the dinner.
One-third of the bill was for drinks and one- ifth for starters.
What amount is paid for the main course?
A. Rs 409.68
B. Rs 1092.50
C. Rs 1529.50
D. Rs 1748.00
SAS21M07Q0203
3 During the dinner, they have six glasses of drinks. Amber has one-half of them and Shalini has one-third
of them. Anant has rest of them.
How many glass/es does Anant have?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 08
Page 9
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 2
Insulin is a hormone made by the pancreas in the human body. It helps to regulate blood sugar level
and absorbs glucose to get energy. The number of required units of insulin varies according to the
individual.
In some cases, an individual body is not able to produce suf icient amount of insulin. For those
individuals, supplementary units of insulin are injected into the body.
SAS21M07Q0204
4 A doctor uses this formula to calculate the daily insulin units required for Prakhar’s body.
Daily insulin requirement (units) = 0.55 × Total body mass (kilograms)
Prakhar’s body mass is 80 kg.
What is Prakhar’s daily insulin requirement?
SAS21M07Q0205
5 Insulin also helps in disposing of carbohydrates in the human body.
In Prakhar’s body, 14.5 insulin units dispose of 290 grams of carbohydrate.
How many grams of carbohydrates are disposed of by 1 insulin unit?
A. 200
B. 20
C. 2
D. 0.2
An online game has 50 levels. A gamer is in the Gold team until he cross 3 of the total levels. After
4
that he is in the Platinum team.
This table shows the rewards unlocked after completing various levels.
Levels completed Rewards
More than or equal to 45 levels Jeep
More than 35 levels but less than 45 levels Dress
More than 25 levels but less than 35 levels Face mask
More than 15 levels but less than 25 levels Badge
SAS21M07Q0206
6 Mita completed 37 levels.
Which reward would she get? Justify your answer.
Class 7 − Chapter 2
Insulin is a hormone made by the pancreas in the human body. It helps to regulate blood sugar level
and absorbs glucose to get energy. The number of required units of insulin varies according to the
individual.
In some cases, an individual body is not able to produce suf icient amount of insulin. For those
individuals, supplementary units of insulin are injected into the body.
SAS21M07Q0204
4 A doctor uses this formula to calculate the daily insulin units required for Prakhar’s body.
Daily insulin requirement (units) = 0.55 × Total body mass (kilograms)
Prakhar’s body mass is 80 kg.
What is Prakhar’s daily insulin requirement?
SAS21M07Q0205
5 Insulin also helps in disposing of carbohydrates in the human body.
In Prakhar’s body, 14.5 insulin units dispose of 290 grams of carbohydrate.
How many grams of carbohydrates are disposed of by 1 insulin unit?
A. 200
B. 20
C. 2
D. 0.2
An online game has 50 levels. A gamer is in the Gold team until he cross 3 of the total levels. After
4
that he is in the Platinum team.
This table shows the rewards unlocked after completing various levels.
Levels completed Rewards
More than or equal to 45 levels Jeep
More than 35 levels but less than 45 levels Dress
More than 25 levels but less than 35 levels Face mask
More than 15 levels but less than 25 levels Badge
SAS21M07Q0206
6 Mita completed 37 levels.
Which reward would she get? Justify your answer.
Page 10
Curriculum Aligned Assessment Items Mathematics
Class 7 − Chapter 2
SAS21M07Q0207
7 Mayank is at level 15 in the game. In which team, would he play?
Carat (K) is a unit to measure the purity of gold. The higher the carat, the purer the gold. 24K gold is
considered as the purest gold with no traces of any other metal in it.
22K gold has 2 parts other metals present in it.
SAS21M07Q0208
8 Puneet is a jeweller. He wants to make 18K gold jewellery from 22K gold.
What percent of other metals are to be added to the 22K gold?
SAS21M07Q0209
9 Countries have their own minimum acceptance standard for an item to be called a gold item.
The minimum accepted standard of gold is 10 carat in the US and 8 carat in Denmark.
What is the difference in percentage of gold between the standards set by the two countries?
Round your answer to the nearest whole number.
The Bureau of Indian Standards (BIS), certi ies the purity of gold jewellery using hallmark codes.
The BIS hallmark codes for gold jewellery are given below.
Hallmark code Purity of gold jewellery (Carats)
22K916 22
18K750 18
14K585 14
SAS21M07Q0210
10 Riya purchased a gold necklace weighing 20 g hallmarked 18K750. How many grams of pure gold
are in the necklace?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 10
Class 7 − Chapter 2
SAS21M07Q0207
7 Mayank is at level 15 in the game. In which team, would he play?
Carat (K) is a unit to measure the purity of gold. The higher the carat, the purer the gold. 24K gold is
considered as the purest gold with no traces of any other metal in it.
22K gold has 2 parts other metals present in it.
SAS21M07Q0208
8 Puneet is a jeweller. He wants to make 18K gold jewellery from 22K gold.
What percent of other metals are to be added to the 22K gold?
SAS21M07Q0209
9 Countries have their own minimum acceptance standard for an item to be called a gold item.
The minimum accepted standard of gold is 10 carat in the US and 8 carat in Denmark.
What is the difference in percentage of gold between the standards set by the two countries?
Round your answer to the nearest whole number.
The Bureau of Indian Standards (BIS), certi ies the purity of gold jewellery using hallmark codes.
The BIS hallmark codes for gold jewellery are given below.
Hallmark code Purity of gold jewellery (Carats)
22K916 22
18K750 18
14K585 14
SAS21M07Q0210
10 Riya purchased a gold necklace weighing 20 g hallmarked 18K750. How many grams of pure gold
are in the necklace?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 10
Page 11
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 3
Data Handling
Gaming apps allow users to download and play games in online or of line mode. A play store data
shows 20 million downloads of 6 popular games. The table below shows the number of daily active
users of the games:
Game Active users (in millions)
KC 2.07
RJ 1.99
CM 1.82
SN 1.56
CR 1.34
HC 1.20
SAS21M07D0301
1 Around 50% of those who downloaded the games are active users.
Is the statement correct? Give reason to justify your answer.
SAS21M07D0302
2 Every fourth person who downloaded the games spends more than an hour a day playing them.
What percentage of active players play more than an hour a day?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 11
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 3
Data Handling
Gaming apps allow users to download and play games in online or of line mode. A play store data
shows 20 million downloads of 6 popular games. The table below shows the number of daily active
users of the games:
Game Active users (in millions)
KC 2.07
RJ 1.99
CM 1.82
SN 1.56
CR 1.34
HC 1.20
SAS21M07D0301
1 Around 50% of those who downloaded the games are active users.
Is the statement correct? Give reason to justify your answer.
SAS21M07D0302
2 Every fourth person who downloaded the games spends more than an hour a day playing them.
What percentage of active players play more than an hour a day?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 11
Page 12
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 3
The graph below shows the percentage of new and existing active users of the games.
SAS21M07D0303
3 In which game the number of existing active users is more than 1.5 million?
A. KC
B. RJ
C. CM
D. CR
SAS21M07D0304
4 For which game(s) the number of new users is more than the number of existing users?
SAS21M07D0305
5 It has been observed that 50% of the new RJ game users play online with friends.
For existing users, this percentage is 36%.
What is the number of people (in millions) playing RJ game online with friends?
A. 1.39 millions
B. 4.975 millions
C. 8.557 millions
D. 9.95 millions
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 12
Class 7 – Chapter 3
The graph below shows the percentage of new and existing active users of the games.
SAS21M07D0303
3 In which game the number of existing active users is more than 1.5 million?
A. KC
B. RJ
C. CM
D. CR
SAS21M07D0304
4 For which game(s) the number of new users is more than the number of existing users?
SAS21M07D0305
5 It has been observed that 50% of the new RJ game users play online with friends.
For existing users, this percentage is 36%.
What is the number of people (in millions) playing RJ game online with friends?
A. 1.39 millions
B. 4.975 millions
C. 8.557 millions
D. 9.95 millions
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 12
Page 13
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 3
SAS21M07D0306
6 Mary played 10 HC matches. She scored 45, 36, 50, 27, 36, 52, 50, 43, 50 and 47 points in them. What is
the most frequent score point?
A. 27
B. 36
C. 47
D. 50
SAS21M07D0307
7 Are the mean and median of Mary’s scores equal? Justify your answer.
SAS21M07D0308
8 Mary scored 56 points in her 11th match. What is the change in her mean score after the 11th match?
A Increases by 1.13
B Increases by 5.6
C Decreases by 4
D Decreases by 3
SAS21M07D0309
9 The highest score in the match is 60 points.
What is the probability of Mary scoring 60 points in her 12th match?
A.
A 0
1
B. 12
1
C. 5
1
D. 2
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 13
Class 7 – Chapter 3
SAS21M07D0306
6 Mary played 10 HC matches. She scored 45, 36, 50, 27, 36, 52, 50, 43, 50 and 47 points in them. What is
the most frequent score point?
A. 27
B. 36
C. 47
D. 50
SAS21M07D0307
7 Are the mean and median of Mary’s scores equal? Justify your answer.
SAS21M07D0308
8 Mary scored 56 points in her 11th match. What is the change in her mean score after the 11th match?
A Increases by 1.13
B Increases by 5.6
C Decreases by 4
D Decreases by 3
SAS21M07D0309
9 The highest score in the match is 60 points.
What is the probability of Mary scoring 60 points in her 12th match?
A.
A 0
1
B. 12
1
C. 5
1
D. 2
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 13
Page 14
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 3
During the HC game, players can spin the wheel to earn points.
SAS21M07D0310
10 What is the probability that she earns 6 points?
A. 0
1
B. 12
1
C. 5
1
D. 2
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 14
Class 7 – Chapter 3
During the HC game, players can spin the wheel to earn points.
SAS21M07D0310
10 What is the probability that she earns 6 points?
A. 0
1
B. 12
1
C. 5
1
D. 2
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 14
Page 15
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 4
Simple Equations
Multiple gaming tournaments can be played online. In these games, players can compete with
players from any part of the world.
In a tournament, 200 points are awarded for a win and 20 points are deducted for a loss.
SAS21M07C0401
1 Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored 1120 points.
How many matches did he play?
A. 6
B. 8
C. 10
D. 14
SAS21M07C0402
2 Diksha played 16 matches in the tournament. The number of matches won was equal to the number of
matches lost by her.
How many points did she score?
SAS21M07C0403
3 Drishti and Raghav also participated in the tournament.
Drishti won 10 more matches than the number of matches she lost. Her score was 6140 points.
Raghav lost 15 more matches than the number of matches he won. His score was 6000 points.
Who played more matches? Justify your answer.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 15
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 4
Simple Equations
Multiple gaming tournaments can be played online. In these games, players can compete with
players from any part of the world.
In a tournament, 200 points are awarded for a win and 20 points are deducted for a loss.
SAS21M07C0401
1 Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored 1120 points.
How many matches did he play?
A. 6
B. 8
C. 10
D. 14
SAS21M07C0402
2 Diksha played 16 matches in the tournament. The number of matches won was equal to the number of
matches lost by her.
How many points did she score?
SAS21M07C0403
3 Drishti and Raghav also participated in the tournament.
Drishti won 10 more matches than the number of matches she lost. Her score was 6140 points.
Raghav lost 15 more matches than the number of matches he won. His score was 6000 points.
Who played more matches? Justify your answer.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 15
Page 16
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 4
SAS21M07C0404
4 Prashant says, ‘The more you play, the more you score’.
Is his statement always true? Justify your answer
SAS21M07C0405
In a tournament, some hurdles have to be crossed to achieve the target score of 110 points.
5 In a match, Shreyas crossed 18 hurdles and scored 45 points.
Shreyas wants to win the tournament.
What is the minimum number of hurdles that have to be crossed?
SAS21M07C0406
6 Does the solution of an equation depend on the method used to solve it? Justify your answer.
Which of the following represents an equation in one variable? SAS21M07C0407
7
A. 5p + 3
B. 4 + 2a
C. 5 + 7 = 12
D. 5 + 4x = 9
In an archery game, the points scored on hitting a circular region on a board is shown in the igure
below.
No point is given when an arrow missed the
board. Sharmistha scored only 6 or 4 points in a
game. The number of times she scored 6 is ive
more than the number of times she scored 4. She
scored 80 points in the game.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 16
Class 7 – Chapter 4
SAS21M07C0404
4 Prashant says, ‘The more you play, the more you score’.
Is his statement always true? Justify your answer
SAS21M07C0405
In a tournament, some hurdles have to be crossed to achieve the target score of 110 points.
5 In a match, Shreyas crossed 18 hurdles and scored 45 points.
Shreyas wants to win the tournament.
What is the minimum number of hurdles that have to be crossed?
SAS21M07C0406
6 Does the solution of an equation depend on the method used to solve it? Justify your answer.
Which of the following represents an equation in one variable? SAS21M07C0407
7
A. 5p + 3
B. 4 + 2a
C. 5 + 7 = 12
D. 5 + 4x = 9
In an archery game, the points scored on hitting a circular region on a board is shown in the igure
below.
No point is given when an arrow missed the
board. Sharmistha scored only 6 or 4 points in a
game. The number of times she scored 6 is ive
more than the number of times she scored 4. She
scored 80 points in the game.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 16
Page 17
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 4
SAS21M07C0408
8 Which of the following equation represents Sharmistha’s score?
A. 6x + 4x = 80
B. 6x + 4(x + 5) =80
C. 6(x - 5) + 4x = 80
D. 6x + 4(x - 5) = 80
SAS21M07C0409
9 How many arrows did Sharmistha shoot?
A. 10
B. 11
C. 15
D. 30
SAS21M07C0410
10 Which of the following equations does ‘x = 5’ not satisfy?
A. 2x - 1 = 9
B. 3x + 4 =19
C. 3x + 1 = 13
D. 4x - 3 = 17
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 17
Class 7 – Chapter 4
SAS21M07C0408
8 Which of the following equation represents Sharmistha’s score?
A. 6x + 4x = 80
B. 6x + 4(x + 5) =80
C. 6(x - 5) + 4x = 80
D. 6x + 4(x - 5) = 80
SAS21M07C0409
9 How many arrows did Sharmistha shoot?
A. 10
B. 11
C. 15
D. 30
SAS21M07C0410
10 Which of the following equations does ‘x = 5’ not satisfy?
A. 2x - 1 = 9
B. 3x + 4 =19
C. 3x + 1 = 13
D. 4x - 3 = 17
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 17
Page 18
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 5
Lines and Angles
In the igure given below, AD is a straight line. PS and QR are perpendicular to AD.
GH is parallel to IJ and KL is parallel to MN.
SAS21M07S0501
1 What type of angles are ∠r and ∠t?
A. Adjacent angles
B. Vertically opposite
C. Corresponding angles
D. Alternate exterior angles
SAS21M07S0502
2 The measure of ∠s = 120°.
What is the measure of ∠t?
A. 30°
B. 60°
C. 90°
D. 120°
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 18
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 5
Lines and Angles
In the igure given below, AD is a straight line. PS and QR are perpendicular to AD.
GH is parallel to IJ and KL is parallel to MN.
SAS21M07S0501
1 What type of angles are ∠r and ∠t?
A. Adjacent angles
B. Vertically opposite
C. Corresponding angles
D. Alternate exterior angles
SAS21M07S0502
2 The measure of ∠s = 120°.
What is the measure of ∠t?
A. 30°
B. 60°
C. 90°
D. 120°
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 18
Page 19
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 5
SAS21M07S0503
3 What is the measure of ∠x?
A. 45°
B. 60°
C. 90°
D. 120°
SAS21M07S0504
4 Why are the lines SP and RQ parallel to each other?
SAS21M07S0505
5 Is DF transversal to KL and MN? Give reason.
SAS21M07S0506
6 Which of the following is true for DE and DF?
A. They are parallel
B. They intersect at A
C. They intersect at D
D. They have AD as transversal
A diagram of a see-saw is given below.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 19
Class 7 – Chapter 5
SAS21M07S0503
3 What is the measure of ∠x?
A. 45°
B. 60°
C. 90°
D. 120°
SAS21M07S0504
4 Why are the lines SP and RQ parallel to each other?
SAS21M07S0505
5 Is DF transversal to KL and MN? Give reason.
SAS21M07S0506
6 Which of the following is true for DE and DF?
A. They are parallel
B. They intersect at A
C. They intersect at D
D. They have AD as transversal
A diagram of a see-saw is given below.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 19
Page 20
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 5
SAS21M07S0507
7 State all the pairs of vertically opposite angles in the given igure.
SAS21M07S0508
8 Which of the following is a pair of alternate exterior angles?
A. ∠1 and ∠4
B. ∠2 and ∠8
C. ∠3 and ∠8
D. ∠4 and ∠6
Three lines shown in the igure intersect each other at point P.
Line l is perpendicular to line n.
The measure of ∠2 is 65°.
SAS21M07S0509
9 What is the measure of ∠6?
SAS21M07S0510
10 What is the sum of the measure of ∠3 and ∠4?
A. 95°
B. 115°
C. 120°
D. 155°
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 20
Class 7 – Chapter 5
SAS21M07S0507
7 State all the pairs of vertically opposite angles in the given igure.
SAS21M07S0508
8 Which of the following is a pair of alternate exterior angles?
A. ∠1 and ∠4
B. ∠2 and ∠8
C. ∠3 and ∠8
D. ∠4 and ∠6
Three lines shown in the igure intersect each other at point P.
Line l is perpendicular to line n.
The measure of ∠2 is 65°.
SAS21M07S0509
9 What is the measure of ∠6?
SAS21M07S0510
10 What is the sum of the measure of ∠3 and ∠4?
A. 95°
B. 115°
C. 120°
D. 155°
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 20
Page 21
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 6
The Triangle and its Properties
In an equilateral triangle ABC, the length of AC = 10 cm and altitude AD = 6 cm. P is a point on AB.
The length of BP = 4x – 1. The length of PA = 3x + 4
SAS21M07S0601
1 What is the length of BP?
A. 1 cm
B. 3 cm
C. 5 cm
D. 10 cm
SAS21M07S0602
2 What is the length of the median on BC?
A. 3 cm
B. 5 cm
C. 6 cm
D. 10 cm
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 21
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 6
The Triangle and its Properties
In an equilateral triangle ABC, the length of AC = 10 cm and altitude AD = 6 cm. P is a point on AB.
The length of BP = 4x – 1. The length of PA = 3x + 4
SAS21M07S0601
1 What is the length of BP?
A. 1 cm
B. 3 cm
C. 5 cm
D. 10 cm
SAS21M07S0602
2 What is the length of the median on BC?
A. 3 cm
B. 5 cm
C. 6 cm
D. 10 cm
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 21
Page 22
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 6
Anshu cuts a paper triangle ABC.
He folds the paper perpendicular to BC such that it passes through the vertex A. He marks the
point where the fold crosses BC as M. He unfolds the paper.
He again folds all the three corners such that vertices A, B and C touch M without overlapping.
Anshu’s method
Radhika performs a similar activity. She marks M by folding ∆ABC such that it halves the side
BC. When she folds the three corners such that vertices A, B and C touch M, unlike Anshu, the
paper corners overlap.
SAS21M07S0603
3 What can be the reason for overlapping?
SAS21M07S0604
4 Why is the existence of a triangle with an exterior angle of measure 180° not possible?
Pratibha made a paper lag by pasting an isosceles right triangle on a stick.
SAS21M07S0605
5 What is the measure of ∠ACD?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 22
Class 7 – Chapter 6
Anshu cuts a paper triangle ABC.
He folds the paper perpendicular to BC such that it passes through the vertex A. He marks the
point where the fold crosses BC as M. He unfolds the paper.
He again folds all the three corners such that vertices A, B and C touch M without overlapping.
Anshu’s method
Radhika performs a similar activity. She marks M by folding ∆ABC such that it halves the side
BC. When she folds the three corners such that vertices A, B and C touch M, unlike Anshu, the
paper corners overlap.
SAS21M07S0603
3 What can be the reason for overlapping?
SAS21M07S0604
4 Why is the existence of a triangle with an exterior angle of measure 180° not possible?
Pratibha made a paper lag by pasting an isosceles right triangle on a stick.
SAS21M07S0605
5 What is the measure of ∠ACD?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 22
Page 23
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 6
In the igure shown below, PQR is a straight line.
The measure of ∠PXQ = 20°.
SAS21M07S0606
6 What is the measure of ∠PXR?
A shelf with a triangular frame is ixed on a wall as shown below.
The lengths of the rods used in the shaded triangular frame are 48 cm, 55 cm and 73 cm.
SAS21M07S0607
7 What is the type of the shaded triangle?
A. Obtuse triangle
B. Isosceles triangle
C. Equilateral triangle
D. Right-angled triangle
SAS21M07S0608
8 What can be the height of the shelf?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 23
Class 7 – Chapter 6
In the igure shown below, PQR is a straight line.
The measure of ∠PXQ = 20°.
SAS21M07S0606
6 What is the measure of ∠PXR?
A shelf with a triangular frame is ixed on a wall as shown below.
The lengths of the rods used in the shaded triangular frame are 48 cm, 55 cm and 73 cm.
SAS21M07S0607
7 What is the type of the shaded triangle?
A. Obtuse triangle
B. Isosceles triangle
C. Equilateral triangle
D. Right-angled triangle
SAS21M07S0608
8 What can be the height of the shelf?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 23
Page 24
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 6
In the triangle XYZ, the median XP is half the length of the side YZ.
In the triangle, XZQ, XZ = ZQ.
SAS21M07S0609
9 What is the measure of ∠ZXQ?
In the triangle ABC below, AC = BC.
In the triangle DCE, ∠CED = 90°.
SAS21M07S0610
10 What is the value of ‘x’?
A. 40
B. 50
C. 60
D. 70
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 24
Class 7 – Chapter 6
In the triangle XYZ, the median XP is half the length of the side YZ.
In the triangle, XZQ, XZ = ZQ.
SAS21M07S0609
9 What is the measure of ∠ZXQ?
In the triangle ABC below, AC = BC.
In the triangle DCE, ∠CED = 90°.
SAS21M07S0610
10 What is the value of ‘x’?
A. 40
B. 50
C. 60
D. 70
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 24
Page 25
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 7
Congruency in Triangles
Given below are two triangles ACB and FGE. AD is the perpendicular bisector of the side CB and
FH is the perpendicular bisector of the side GE
SAS21M07S0701
1 Is the line segment AB equal to EG? Give reasons.
Raghavan shows that two triangles are congruent using the steps below.
AC = FG
∠C = ∠G
CD = GH
Thus, ∆ACD ≅ ∆FGH
SAS21M07S0702
2 Which criterion was used by Raghavan to prove the congruence of the two triangles?
A. SSS
B. SAS
C. ASA
D. RHS
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 25
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 7
Congruency in Triangles
Given below are two triangles ACB and FGE. AD is the perpendicular bisector of the side CB and
FH is the perpendicular bisector of the side GE
SAS21M07S0701
1 Is the line segment AB equal to EG? Give reasons.
Raghavan shows that two triangles are congruent using the steps below.
AC = FG
∠C = ∠G
CD = GH
Thus, ∆ACD ≅ ∆FGH
SAS21M07S0702
2 Which criterion was used by Raghavan to prove the congruence of the two triangles?
A. SSS
B. SAS
C. ASA
D. RHS
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 25
Page 26
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 7
SAS21M07S0703
3 Aditi claims that ∆ABC is an equilateral triangle.
Is she correct? Justify your answer.
SAS21M07S0704
4 Rohit claims that ‘∆ABC can be proved to be congruent to ∆FGE by using all the four congruence
criteria.’
Is his claim valid? Give reasons.
SAS21M07S0705
5 Two triangles are congruent when their three corresponding sides are of equal measure. Is it the same
when the three corresponding angles are equal? Give reasons.
ABCD and EFGH are squares.
SAS21M07S0706
6 Which congruency statement is not true?
A. ∆AGB ≅ ∆BHC
B. ∆BHC ≅ ∆CED
C. ∆CED ≅ ∆DFA
D. ∆DFA ≅ ∆DEF
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 26
Class 7 – Chapter 7
SAS21M07S0703
3 Aditi claims that ∆ABC is an equilateral triangle.
Is she correct? Justify your answer.
SAS21M07S0704
4 Rohit claims that ‘∆ABC can be proved to be congruent to ∆FGE by using all the four congruence
criteria.’
Is his claim valid? Give reasons.
SAS21M07S0705
5 Two triangles are congruent when their three corresponding sides are of equal measure. Is it the same
when the three corresponding angles are equal? Give reasons.
ABCD and EFGH are squares.
SAS21M07S0706
6 Which congruency statement is not true?
A. ∆AGB ≅ ∆BHC
B. ∆BHC ≅ ∆CED
C. ∆CED ≅ ∆DFA
D. ∆DFA ≅ ∆DEF
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 26
Page 27
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 7
The igure below represents two triangles ACB and PAN.
SAS21M07S0707
7 By which congruence criterion is ∆ACB congruent to ∆PAN?
A. SSS
B. SAS
C. ASA
D. RHS
Gutam draws two triangles PQR and PSR on a grid.
Each block on the grid represents one unit.
SAS21M07S0708
8 Are the two triangles congruent? Give reasons.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 27
Class 7 – Chapter 7
The igure below represents two triangles ACB and PAN.
SAS21M07S0707
7 By which congruence criterion is ∆ACB congruent to ∆PAN?
A. SSS
B. SAS
C. ASA
D. RHS
Gutam draws two triangles PQR and PSR on a grid.
Each block on the grid represents one unit.
SAS21M07S0708
8 Are the two triangles congruent? Give reasons.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 27
Page 28
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 7
SAS21M07S0709
9 Which angle is equal to ∠PSR?
A. ∠PRQ
B. ∠PQR
C. ∠SRP
D. ∠SPR
SAS21M07S0710
10 Which of the following line segments is equal to PS?
A. QR
B. PQ
C. SR
D. PR
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 28
Class 7 – Chapter 7
SAS21M07S0709
9 Which angle is equal to ∠PSR?
A. ∠PRQ
B. ∠PQR
C. ∠SRP
D. ∠SPR
SAS21M07S0710
10 Which of the following line segments is equal to PS?
A. QR
B. PQ
C. SR
D. PR
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 28
Page 29
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 8
Comparing Quantities
Lique ied gas is a type of fuel used in cars and other vehicles. After petrol and diesel, lique ied gas is
the third most popular fuel in the world. For the past two decades, it has been used as an
alternative for petrol worldwide.
SAS21M07N0801
1 In the year 2019, worldwide consumption of lique ied gas was 27 million tonnes, whereas in India, its
consumption was 0.42 million tonnes.
What is the ratio of consumption of lique ied gas in India to worldwide?
SAS21M07N0802
2 In the year 2019, India consumed 28.3 million tonnes of petrol and 83.5 million tonnes of diesel.
Is it correct to say that in the year 2019, the consumption of diesel was less than three times the
consumption of petrol in India? Give reasons.
SAS21M07N0803
3 The cost of per litre petrol in New Delhi on 11 August, 2021 was Rs. 101.84. On the same day, the cost of
one litre of lique ied gas was 60% less than the cost of petrol in New Delhi.
Which of the following could be the cost of lique ied gas?
A. Rs. 38.56
B. Rs. 61.27
C. Rs. 142.58
D. Rs. 162.94
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 29
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 8
Comparing Quantities
Lique ied gas is a type of fuel used in cars and other vehicles. After petrol and diesel, lique ied gas is
the third most popular fuel in the world. For the past two decades, it has been used as an
alternative for petrol worldwide.
SAS21M07N0801
1 In the year 2019, worldwide consumption of lique ied gas was 27 million tonnes, whereas in India, its
consumption was 0.42 million tonnes.
What is the ratio of consumption of lique ied gas in India to worldwide?
SAS21M07N0802
2 In the year 2019, India consumed 28.3 million tonnes of petrol and 83.5 million tonnes of diesel.
Is it correct to say that in the year 2019, the consumption of diesel was less than three times the
consumption of petrol in India? Give reasons.
SAS21M07N0803
3 The cost of per litre petrol in New Delhi on 11 August, 2021 was Rs. 101.84. On the same day, the cost of
one litre of lique ied gas was 60% less than the cost of petrol in New Delhi.
Which of the following could be the cost of lique ied gas?
A. Rs. 38.56
B. Rs. 61.27
C. Rs. 142.58
D. Rs. 162.94
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 29
Page 30
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 8
SAS21M07N0804
4 Lique ied gas contains gases like butane and propane. The percentage of both butane and propane in
lique ied gas varies from 100% of propane to 20% of propane.
One litre of lique ied gas weighs 510 g in which the mass of propane gas is 357 g.
Which of the following shows the percentage of propane gas present in 1 L of the lique ied gas?
A. 20%
B. 30%
C. 70%
D. 100%
SAS21M07N0805
5 Parvez wants to use lique ied gas in his car. He needs to install a lique ied gas kit in his car. The kit costs
Rs. 50,000.
To install the kit, he paid Rs. 5000 and has availed a loan of Rs. 45,000 at a rate of 10% per annum using
simple interest. The repayment period for him is 1 yr.
What is the total sum of money (in rupees) Parvez has to pay in 1 yr?
Online shopping has increased in the past few years. There are several apps and websites available
which allow buyers to purchase goods online.
SAS21M07N0806
6 In a survey, every three out ive people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
SAS21M07N0807
7 The marked price of a hot water geyser is Rs. 9000. It is available at a discounted price for Rs. 7560 on
an online shopping website.
What is the percent reduction in the cost of the geyser?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 30
Class 7 – Chapter 8
SAS21M07N0804
4 Lique ied gas contains gases like butane and propane. The percentage of both butane and propane in
lique ied gas varies from 100% of propane to 20% of propane.
One litre of lique ied gas weighs 510 g in which the mass of propane gas is 357 g.
Which of the following shows the percentage of propane gas present in 1 L of the lique ied gas?
A. 20%
B. 30%
C. 70%
D. 100%
SAS21M07N0805
5 Parvez wants to use lique ied gas in his car. He needs to install a lique ied gas kit in his car. The kit costs
Rs. 50,000.
To install the kit, he paid Rs. 5000 and has availed a loan of Rs. 45,000 at a rate of 10% per annum using
simple interest. The repayment period for him is 1 yr.
What is the total sum of money (in rupees) Parvez has to pay in 1 yr?
Online shopping has increased in the past few years. There are several apps and websites available
which allow buyers to purchase goods online.
SAS21M07N0806
6 In a survey, every three out ive people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
SAS21M07N0807
7 The marked price of a hot water geyser is Rs. 9000. It is available at a discounted price for Rs. 7560 on
an online shopping website.
What is the percent reduction in the cost of the geyser?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 30
Page 31
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 8
SAS21M07N0808
8 Misha spent Rs. 15,000 for groceries and home products last month. She shopped online as well as
from the local market. The amount of money she spent on online shopping is three times the amount
she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online?
SAS21M07N0809
9 Nisha purchased 20 pairs of earrings for Rs. 200. She pasted colourful beads on the earrings with glue.
The beads cost her Rs. 30 and a tube of glue to stick the beads costs Rs. 20.
She sold each pair of earrings for Rs. 40.
After selling all the earrings, how many rupees did she make as pro it?
A. Rs. 250
B. Rs. 550
C. Rs. 600
D. Rs. 800
SAS21M07N0810
10 What percentage pro it did Nisha make?
A. 68.75%
B. 220%
C. 320%
D. 1375%
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 31
Class 7 – Chapter 8
SAS21M07N0808
8 Misha spent Rs. 15,000 for groceries and home products last month. She shopped online as well as
from the local market. The amount of money she spent on online shopping is three times the amount
she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online?
SAS21M07N0809
9 Nisha purchased 20 pairs of earrings for Rs. 200. She pasted colourful beads on the earrings with glue.
The beads cost her Rs. 30 and a tube of glue to stick the beads costs Rs. 20.
She sold each pair of earrings for Rs. 40.
After selling all the earrings, how many rupees did she make as pro it?
A. Rs. 250
B. Rs. 550
C. Rs. 600
D. Rs. 800
SAS21M07N0810
10 What percentage pro it did Nisha make?
A. 68.75%
B. 220%
C. 320%
D. 1375%
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 31
Page 32
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 9
Rational Numbers
Different websites offer the same phone at different prices. A Rs. 15,000 mobile phone is available
4 1
at of its marked price on Website A. Website A gives an additional discount equivalent to of
5 10
the phone price at check out. Website B offers the same mobile phone model at 2 of its price with
5
no further discount at checkout.
SAS21M07N0901
1 At what price is the mobile phone offered by Website A?
SAS21M07N0902
2 At what fraction of the original price is the phone available at check out on Website A?
3
A. 10
7
B. 10
5
C. 15
4
D. 50
SAS21M07N0903
3 Which website sells the phone at a more economical price? Give reasons.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 32
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 9
Rational Numbers
Different websites offer the same phone at different prices. A Rs. 15,000 mobile phone is available
4 1
at of its marked price on Website A. Website A gives an additional discount equivalent to of
5 10
the phone price at check out. Website B offers the same mobile phone model at 2 of its price with
5
no further discount at checkout.
SAS21M07N0901
1 At what price is the mobile phone offered by Website A?
SAS21M07N0902
2 At what fraction of the original price is the phone available at check out on Website A?
3
A. 10
7
B. 10
5
C. 15
4
D. 50
SAS21M07N0903
3 Which website sells the phone at a more economical price? Give reasons.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 32
Page 33
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 9
SAS21M07N0904
1
4 In which of the following options does Point K represent - on the number line?
5
A.
B.
C.
D.
SAS21M07N0905
5 The product of a negative rational number with its multiplicative inverse is −1.
Do you agree? Give examples to support your answer.
SAS21M07N0906
6 Addition of a rational number to its additive inverse results in 0.
Is this statement true for all rational numbers? Give examples to support your answer.
SAS21M07N0907
7 Find three rational numbers between 3 and 4.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 33
Class 7 – Chapter 9
SAS21M07N0904
1
4 In which of the following options does Point K represent - on the number line?
5
A.
B.
C.
D.
SAS21M07N0905
5 The product of a negative rational number with its multiplicative inverse is −1.
Do you agree? Give examples to support your answer.
SAS21M07N0906
6 Addition of a rational number to its additive inverse results in 0.
Is this statement true for all rational numbers? Give examples to support your answer.
SAS21M07N0907
7 Find three rational numbers between 3 and 4.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 33
Page 34
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 9
A mathematical operation of rational numbers is shown on the number line.
SAS21M07N0908
8 Which operation is it?
A. Addition
B. Subtraction
C. Multiplication
D. Division
SAS21M07N0909
9 Which number will come in place of x ?
SAS21M07N0910
10 Solve: 7 ¸ 5
10 10
A. 5
7
B. 2
10
7
C.
5
35
D.
135
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 34
Class 7 – Chapter 9
A mathematical operation of rational numbers is shown on the number line.
SAS21M07N0908
8 Which operation is it?
A. Addition
B. Subtraction
C. Multiplication
D. Division
SAS21M07N0909
9 Which number will come in place of x ?
SAS21M07N0910
10 Solve: 7 ¸ 5
10 10
A. 5
7
B. 2
10
7
C.
5
35
D.
135
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 34
Page 35
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 10
Practical Geometry
In the igure below the line l, is parallel to the line m.
SAS21M07S1001
1 Which of the following statement is true for the lines l and m?
A. Line l never meets with line m
B. Lines l and m have common points
C. Line l intersects line m perpendicularly
D. Lines l and m cannot be intersected by one line
SAS21M07S1002
2 Name the line which cuts line l.
SAS21M07S1003
3 Which line is intersected the most number of times?
A. l
B. m
C. n
D. p
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 35
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 10
Practical Geometry
In the igure below the line l, is parallel to the line m.
SAS21M07S1001
1 Which of the following statement is true for the lines l and m?
A. Line l never meets with line m
B. Lines l and m have common points
C. Line l intersects line m perpendicularly
D. Lines l and m cannot be intersected by one line
SAS21M07S1002
2 Name the line which cuts line l.
SAS21M07S1003
3 Which line is intersected the most number of times?
A. l
B. m
C. n
D. p
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 35
Page 36
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 10
SAS21M07S1004
4 Which pair of angles are alternate interior angles?
A. ∠ABC and ∠BCD
B. ∠BCD and ∠DCF
C. ∠HEC and ∠BCD
D. ∠ABC and ∠CFG
SAS21M07S1005
5 Which of the given equalities will always be true?
A. ∠HEC = ∠CFG
B. ∠HEC = ∠BCD
C. ∠BCD = ∠CFG
D. ∠BCD = ∠ABC
Rohit draws a triangle as described below using some given parameters.
Step 1: He draws a line segment AB of the given length.
Step 2: He draws a long arc using a given radius from A.
Step 3: He draws another arc from B with a given radius cutting the arc drawn in step 2.
Step 4: He joins the point of intersection C of the arcs with points A and B.
SAS21M07S1006
6 What parameters were given to Rohit?
A. The three side lengths were given
B. The two angles measure and one side length were given
C. The two side lengths and one angle measure were given
D. The two side lengths and right angle speci ications were given
SAS21M07S1007
7 Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle ABC’.
Is Anshu correct? Justify your answer.
SAS21M07S1008
8 Rohit tried to construct triangle LMN, with MN = 6 cm, LN = 10 cm and MN = 4 cm. He was not successful
in constructing the triangle.
What could be the reason for his failure?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 36
Class 7 – Chapter 10
SAS21M07S1004
4 Which pair of angles are alternate interior angles?
A. ∠ABC and ∠BCD
B. ∠BCD and ∠DCF
C. ∠HEC and ∠BCD
D. ∠ABC and ∠CFG
SAS21M07S1005
5 Which of the given equalities will always be true?
A. ∠HEC = ∠CFG
B. ∠HEC = ∠BCD
C. ∠BCD = ∠CFG
D. ∠BCD = ∠ABC
Rohit draws a triangle as described below using some given parameters.
Step 1: He draws a line segment AB of the given length.
Step 2: He draws a long arc using a given radius from A.
Step 3: He draws another arc from B with a given radius cutting the arc drawn in step 2.
Step 4: He joins the point of intersection C of the arcs with points A and B.
SAS21M07S1006
6 What parameters were given to Rohit?
A. The three side lengths were given
B. The two angles measure and one side length were given
C. The two side lengths and one angle measure were given
D. The two side lengths and right angle speci ications were given
SAS21M07S1007
7 Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle ABC’.
Is Anshu correct? Justify your answer.
SAS21M07S1008
8 Rohit tried to construct triangle LMN, with MN = 6 cm, LN = 10 cm and MN = 4 cm. He was not successful
in constructing the triangle.
What could be the reason for his failure?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 36
Page 37
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 10
SAS21M07S1009
9 Saloni constructed a triangle ABC with angle measures as 45°, 50°, and 85°. Sunita constructed another
triangle PQR with the same angle measures.
Is it necessary that the side lengths of triangles ABC and PQR would also be the same? Justify your
answer.
SAS21M07S1010
10 Which of the following criteria cannot be used to construct an equilateral triangle?
A. Side-Side-Side
B. Side-Angle-Side
C. Angle-Side-Angle
D. Right angle-Hypotenuse - Side
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 37
Class 7 – Chapter 10
SAS21M07S1009
9 Saloni constructed a triangle ABC with angle measures as 45°, 50°, and 85°. Sunita constructed another
triangle PQR with the same angle measures.
Is it necessary that the side lengths of triangles ABC and PQR would also be the same? Justify your
answer.
SAS21M07S1010
10 Which of the following criteria cannot be used to construct an equilateral triangle?
A. Side-Side-Side
B. Side-Angle-Side
C. Angle-Side-Angle
D. Right angle-Hypotenuse - Side
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 37
Page 38
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 11
Perimeter and Area
Given below is the map of a society park.
The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
SAS21M07S1101
1 What is the perimeter of grass patch 1?
A. 191 m
B. 382 m
C. 800 m
D. 1528 m
SAS21M07S1102
2 What is the area of the running and jogging path?
A. 3519 m²
B. 3600 m²
C. 8495.25 m²
D. 37,500 m²
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 38
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 11
Perimeter and Area
Given below is the map of a society park.
The park has four grass patches of equal area.
The dotted line represents the path for running and jogging.
SAS21M07S1101
1 What is the perimeter of grass patch 1?
A. 191 m
B. 382 m
C. 800 m
D. 1528 m
SAS21M07S1102
2 What is the area of the running and jogging path?
A. 3519 m²
B. 3600 m²
C. 8495.25 m²
D. 37,500 m²
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 38
Page 39
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 11
SAS21M07S1103
3 Two sitting benches are installed in the grass patches. The seat of each bench is of the length 1.2 m and
width 0.7 m. How much area (in m²) is reserved for sitting in the park?
A. 0.84
B. 1.68
C. 3.36
D. 6.72
SAS21M07S1104
4 The patch 2 is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular
area. What is the area in which the tulips are planted?
A. 2831.75 m²
B. 4247.625 m²
C. 8495.25 m²
D. 18,750 m²
SAS21M07S1105
5 Inside the grass patch 4, lily lowers are planted to make a 1.25 m wide bed. The length of the bed is
same as the length of the patch. What is the area (in m² covered by lillies)?
A. 88.125
B. 150.625
C. 243.5
D. 8645.875
SAS21M07S1106
6 Swings are installed for kids at the centre of grass patch 3. The area reserved for the swings is square in
shape with a width of 40 m. What is the remaining area of grass patch 3 after the swing installation?
SAS21M07S1107
7 One room in Joseph’s house has a circular glass roof. The diameter of the roof is 2.8 m. What is the
area of the glass roof?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 39
Class 7 – Chapter 11
SAS21M07S1103
3 Two sitting benches are installed in the grass patches. The seat of each bench is of the length 1.2 m and
width 0.7 m. How much area (in m²) is reserved for sitting in the park?
A. 0.84
B. 1.68
C. 3.36
D. 6.72
SAS21M07S1104
4 The patch 2 is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular
area. What is the area in which the tulips are planted?
A. 2831.75 m²
B. 4247.625 m²
C. 8495.25 m²
D. 18,750 m²
SAS21M07S1105
5 Inside the grass patch 4, lily lowers are planted to make a 1.25 m wide bed. The length of the bed is
same as the length of the patch. What is the area (in m² covered by lillies)?
A. 88.125
B. 150.625
C. 243.5
D. 8645.875
SAS21M07S1106
6 Swings are installed for kids at the centre of grass patch 3. The area reserved for the swings is square in
shape with a width of 40 m. What is the remaining area of grass patch 3 after the swing installation?
SAS21M07S1107
7 One room in Joseph’s house has a circular glass roof. The diameter of the roof is 2.8 m. What is the
area of the glass roof?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 39
Page 40
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 11
SAS21M07S1108
8 The circular frame of the glass roof is made of wire. What is the length of the wire?
A. 6.16 m
B. 8.8 m
C. 17.6 m
D. 12.32 m
Given below is a piece of cardboard.
SAS21M07S1109
9 What is its area?
SAS21M07S1110
10 Jatin placed another cardboard of same size along the 12 cm long edge. . What is the perimeter of the
combined shape?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 40
Class 7 – Chapter 11
SAS21M07S1108
8 The circular frame of the glass roof is made of wire. What is the length of the wire?
A. 6.16 m
B. 8.8 m
C. 17.6 m
D. 12.32 m
Given below is a piece of cardboard.
SAS21M07S1109
9 What is its area?
SAS21M07S1110
10 Jatin placed another cardboard of same size along the 12 cm long edge. . What is the perimeter of the
combined shape?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 40
Page 41
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 12
Algebraic Expressions
The costs of entry tickets to an amusement park are different for adults and children. An adult
ticket costs Rs 800 and a child ticket costs Rs 500.
SAS21M07C1201
1 On Sunday, x adult tickets and y child tickets were sold. Which of the following expressions show the
money collected through the ticket sale?
A. 1300x
B. 800x + 500x
C. 800x+ 500 y
D. (800 + 500) ( x + y)
SAS21M07C1202
2 A car parking ticket at the amusement park costs Rs 150 on Saturdays and Sundays and Rs 100 on
weekdays. In a month with 5 Saturdays and 4 Sundays, the total parking ticket sale was worth Rs
250,000. Write an equation to represent the situation algebraically.
SAS21M07C1203
3 On Monday, the number of adults who visited the amusement park was the square of the number of
children who visited. How much money was collected by selling entry tickets on Monday?
A. x²
B. 800x² + 500x
C. 800x + 500x²
D. 1300 (x + x²)
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 41
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 12
Algebraic Expressions
The costs of entry tickets to an amusement park are different for adults and children. An adult
ticket costs Rs 800 and a child ticket costs Rs 500.
SAS21M07C1201
1 On Sunday, x adult tickets and y child tickets were sold. Which of the following expressions show the
money collected through the ticket sale?
A. 1300x
B. 800x + 500x
C. 800x+ 500 y
D. (800 + 500) ( x + y)
SAS21M07C1202
2 A car parking ticket at the amusement park costs Rs 150 on Saturdays and Sundays and Rs 100 on
weekdays. In a month with 5 Saturdays and 4 Sundays, the total parking ticket sale was worth Rs
250,000. Write an equation to represent the situation algebraically.
SAS21M07C1203
3 On Monday, the number of adults who visited the amusement park was the square of the number of
children who visited. How much money was collected by selling entry tickets on Monday?
A. x²
B. 800x² + 500x
C. 800x + 500x²
D. 1300 (x + x²)
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 41
Page 42
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 12
The amusement park is divided into three regular-shaped sections for rides, ticket room and
car parking respectively.
SAS21M07C1204
4 What is the perimeter of the amusement park?
A. 6P
B. 8P
C. 9P
D. 11P
SAS21M07C1205
5 What area of the amusement park is occupied by the parking space?
Riya wrote an algebraic expression.
56t³ + 12t² + 6t + 16s² + 2s + 106
SAS21M07C1206
6 Which of the following terms has 6 as the coef icient?
A. s
B. s²
C. t
D. t³
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 42
Class 7 – Chapter 12
The amusement park is divided into three regular-shaped sections for rides, ticket room and
car parking respectively.
SAS21M07C1204
4 What is the perimeter of the amusement park?
A. 6P
B. 8P
C. 9P
D. 11P
SAS21M07C1205
5 What area of the amusement park is occupied by the parking space?
Riya wrote an algebraic expression.
56t³ + 12t² + 6t + 16s² + 2s + 106
SAS21M07C1206
6 Which of the following terms has 6 as the coef icient?
A. s
B. s²
C. t
D. t³
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 42
Page 43
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 12
SAS21M07C1207
7 Write the factors of 56t³.
SAS21M07C1208
8 What is the type of the algebraic expression written by Riya?
A. Monomial
B. Binomial
C. Trinomial
D. Polynomial
SAS21M07C1209
9 Riya said, “There are two like terms in the algebraic expression.” Is Riya correct? Give reason.
SAS21M07C1210
10 Riya added an algebraic expression to 56t³ + 12t² + 6t + 16s² + 2s + 106. The resultant expression is
14t² + 7t + 9s. Which of the following algebraic expressions did she add?
A. 56t³ + 2t² + t - 16s² + 7s + 106
B. -56t³ + 2t² + t - 16s² + 7s – 106
C. -56t³ - 2t² - t - 16s² - 7s – 106
D. 56t³ + 26t² + 11t + 16s² + 11s + 106
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 43
Class 7 – Chapter 12
SAS21M07C1207
7 Write the factors of 56t³.
SAS21M07C1208
8 What is the type of the algebraic expression written by Riya?
A. Monomial
B. Binomial
C. Trinomial
D. Polynomial
SAS21M07C1209
9 Riya said, “There are two like terms in the algebraic expression.” Is Riya correct? Give reason.
SAS21M07C1210
10 Riya added an algebraic expression to 56t³ + 12t² + 6t + 16s² + 2s + 106. The resultant expression is
14t² + 7t + 9s. Which of the following algebraic expressions did she add?
A. 56t³ + 2t² + t - 16s² + 7s + 106
B. -56t³ + 2t² + t - 16s² + 7s – 106
C. -56t³ - 2t² - t - 16s² - 7s – 106
D. 56t³ + 26t² + 11t + 16s² + 11s + 106
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 43
Page 44
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 13
Exponents and Power
Nanoscience is the study of structures and materials of an ultra-small scale. The widely used
units to measure length in nanoscience are nanometre and micrometre.
The relations between different units of length are given below.
10³ nanometre (nm) = 1 micrometre (µm)
10⁶ nanometre (nm) = 1 millimetre (mm)
10⁷ nanometre (nm) = 1 centimetre (cm)
10⁹ nanometre (nm) = 1 meter (m)
SAS21M07N1301
1 Electron microscopes are used to see very small particles. These microscopes can enlarge an image up
to 106 times. A laboratory developed a switch that is 1 nanometre wide. How wide will the switch look
when seen under an electron microscope?
A. 1 nanometre
B. 1 micrometre
C. 1 millimetre
D. 1 centimetre
SAS21M07N1302
2 Asha measures the thickness of one sheet of newspaper. A stack of 100 sheets of newspaper is 1 cm
thick. What would be the thickness of the newspaper when expressed in nanometres?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 44
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 13
Exponents and Power
Nanoscience is the study of structures and materials of an ultra-small scale. The widely used
units to measure length in nanoscience are nanometre and micrometre.
The relations between different units of length are given below.
10³ nanometre (nm) = 1 micrometre (µm)
10⁶ nanometre (nm) = 1 millimetre (mm)
10⁷ nanometre (nm) = 1 centimetre (cm)
10⁹ nanometre (nm) = 1 meter (m)
SAS21M07N1301
1 Electron microscopes are used to see very small particles. These microscopes can enlarge an image up
to 106 times. A laboratory developed a switch that is 1 nanometre wide. How wide will the switch look
when seen under an electron microscope?
A. 1 nanometre
B. 1 micrometre
C. 1 millimetre
D. 1 centimetre
SAS21M07N1302
2 Asha measures the thickness of one sheet of newspaper. A stack of 100 sheets of newspaper is 1 cm
thick. What would be the thickness of the newspaper when expressed in nanometres?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 44
Page 45
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 13
SAS21M07N1303
3 Scalpel is an instrument used by surgeons in surgery. During an experiment it was found that the size
of tip of scalpel can affect the recovery rates of patients.
Two scalpels of tip sizes 0.8 micrometre and 12.5 micrometre were tested.
Patients on whom the scalpel with tip radius 0.8 micrometre was used healed faster.
What is the difference between the radii of the two tips in millimetres?
A. 1.6 × 10- 4
B. 0.8 × 10- 3
-2
C. 1.17 × 10
-2
D. 4.5 × 10
SAS21M07N1304
4 Deoxyribonucleic acid (DNA) is found in every cell of almost all living beings including humans. One
strand of human DNA is 2.5 nanometres in diameter. What is the diameter of the strand of DNA in
meters?
A. 2.5 × 10- 10
B. 1 × 10- 9
-9
C. 2.5 × 10
D. 2.5 × 109
SAS21M07N1305
5 Research says, “Human ingernail grows one nanometre in one second.”
What would be the approximate growth of the ingernail (in cm) in 24 hours?
A. 8.64 ×10- 3
B. 8.64 ×10- 2
3
C. 8.64 × 10
D. 8.64 × 1011
SAS21M07N1306
6 Rajat claims, “A negative number raised to a power is always less than the number itself.” Give an
example that proves that Rajat is incorrect.
SAS21M07N1307
7 Simplify the following.
{(92)⁴ × 9⁵} ÷ 9⁸
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 45
Class 7 – Chapter 13
SAS21M07N1303
3 Scalpel is an instrument used by surgeons in surgery. During an experiment it was found that the size
of tip of scalpel can affect the recovery rates of patients.
Two scalpels of tip sizes 0.8 micrometre and 12.5 micrometre were tested.
Patients on whom the scalpel with tip radius 0.8 micrometre was used healed faster.
What is the difference between the radii of the two tips in millimetres?
A. 1.6 × 10- 4
B. 0.8 × 10- 3
-2
C. 1.17 × 10
-2
D. 4.5 × 10
SAS21M07N1304
4 Deoxyribonucleic acid (DNA) is found in every cell of almost all living beings including humans. One
strand of human DNA is 2.5 nanometres in diameter. What is the diameter of the strand of DNA in
meters?
A. 2.5 × 10- 10
B. 1 × 10- 9
-9
C. 2.5 × 10
D. 2.5 × 109
SAS21M07N1305
5 Research says, “Human ingernail grows one nanometre in one second.”
What would be the approximate growth of the ingernail (in cm) in 24 hours?
A. 8.64 ×10- 3
B. 8.64 ×10- 2
3
C. 8.64 × 10
D. 8.64 × 1011
SAS21M07N1306
6 Rajat claims, “A negative number raised to a power is always less than the number itself.” Give an
example that proves that Rajat is incorrect.
SAS21M07N1307
7 Simplify the following.
{(92)⁴ × 9⁵} ÷ 9⁸
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 45
Page 46
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 13
SAS21M07N1308
8 Assume x and y are two negative numbers. ‘The result of the multiplication of x and y with the same
positive power is greater than the multiplication of x and y with the same negative power.’
Give an example to support this statement.
A light-year is the distance light travels in one Earth year. For objects in space, we use light-
years to describe the distance between two heavenly bodies.
One light-year is approximately 9,500,000,000,000 km.
SAS21M07N1309
9 Express one light year in metres.
SAS21M07N1310
10 Astronomers are observing a star that is 5 light-years away from the Earth. How far is the star from the
Earth in kilometres?
A. 4.75 ×10¹¹
B. 47.5 ×10¹¹
C. 4.75 ×10¹²
D. 4.75 ×10¹³
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 46
Class 7 – Chapter 13
SAS21M07N1308
8 Assume x and y are two negative numbers. ‘The result of the multiplication of x and y with the same
positive power is greater than the multiplication of x and y with the same negative power.’
Give an example to support this statement.
A light-year is the distance light travels in one Earth year. For objects in space, we use light-
years to describe the distance between two heavenly bodies.
One light-year is approximately 9,500,000,000,000 km.
SAS21M07N1309
9 Express one light year in metres.
SAS21M07N1310
10 Astronomers are observing a star that is 5 light-years away from the Earth. How far is the star from the
Earth in kilometres?
A. 4.75 ×10¹¹
B. 47.5 ×10¹¹
C. 4.75 ×10¹²
D. 4.75 ×10¹³
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 46
Page 47
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 14
Symmetry
The picture shows a girl and her re lection in a mirror.
SAS21M07S1401
1 Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
SAS21M07S1402
2 The girl has her right hand raised. Why does it look like her left hand in the mirror image?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 47
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 14
Symmetry
The picture shows a girl and her re lection in a mirror.
SAS21M07S1401
1 Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
SAS21M07S1402
2 The girl has her right hand raised. Why does it look like her left hand in the mirror image?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 47
Page 48
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 14
SAS21M07S1403
3 Points P, Q, R and S are marked on the girl and their mirror re lections P’, Q’, R’ and S’ are marked on the
image. Which point and its image in the mirror have the greatest distance between them?
A. P and Q
B. Q and Q’
C. R and R’
D. P’ and S’
SAS21M07S1404
4 Which type of symmetry does the picture show?
A. Line symmetry
B. Point symmetry
C. Rotation symmetry
D. Re lection symmetry
SAS21M07S1405
5 In the above picture, XYZW is a mirror. Why does it produce a symmetric image? Give your explanation
using the points shown in the image.
A quadrilateral is drawn on a square grid. O is the dot marked on one vertex of the quadrilateral.
SAS21M07S1406
6 How many lines of symmetry are there in this quadrilateral?
A. 0
B. 1
C. 2
D. 4
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 48
Class 7 – Chapter 14
SAS21M07S1403
3 Points P, Q, R and S are marked on the girl and their mirror re lections P’, Q’, R’ and S’ are marked on the
image. Which point and its image in the mirror have the greatest distance between them?
A. P and Q
B. Q and Q’
C. R and R’
D. P’ and S’
SAS21M07S1404
4 Which type of symmetry does the picture show?
A. Line symmetry
B. Point symmetry
C. Rotation symmetry
D. Re lection symmetry
SAS21M07S1405
5 In the above picture, XYZW is a mirror. Why does it produce a symmetric image? Give your explanation
using the points shown in the image.
A quadrilateral is drawn on a square grid. O is the dot marked on one vertex of the quadrilateral.
SAS21M07S1406
6 How many lines of symmetry are there in this quadrilateral?
A. 0
B. 1
C. 2
D. 4
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 48
Page 49
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 14
SAS21M07S1407
7 Draw three more congruent quadrilaterals around O so that the complete igure has rotation
symmetry of order four.
SAS21M07S1408
8 Which of the following statements about a parallelogram’s symmetry is true?
A. A parallelogram has neither a line of symmetry nor rotational symmetry.
B. A parallelogram has a line of symmetry but no rotational symmetry.
C. A parallelogram has a point of symmetry and rotational symmetry.
D. A parallelogram has rotational symmetry but no point or line symmetry.
SAS21M07S1409
9 Jyoti claims that rotational symmetry of order 1 implies no rotational symmetry. Do you agree or
disagree with her claim? Give reasons.
Here is a picture of a car wheel.
SAS21M07S1410
10 Awhat is the order of rotational symmetry for this wheel?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 49
Class 7 – Chapter 14
SAS21M07S1407
7 Draw three more congruent quadrilaterals around O so that the complete igure has rotation
symmetry of order four.
SAS21M07S1408
8 Which of the following statements about a parallelogram’s symmetry is true?
A. A parallelogram has neither a line of symmetry nor rotational symmetry.
B. A parallelogram has a line of symmetry but no rotational symmetry.
C. A parallelogram has a point of symmetry and rotational symmetry.
D. A parallelogram has rotational symmetry but no point or line symmetry.
SAS21M07S1409
9 Jyoti claims that rotational symmetry of order 1 implies no rotational symmetry. Do you agree or
disagree with her claim? Give reasons.
Here is a picture of a car wheel.
SAS21M07S1410
10 Awhat is the order of rotational symmetry for this wheel?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 49
Page 50
क ीय मा यिमक िश ा बोड
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 15
Visualising Solid Shapes
Raveena gives toy erasers as return gifts for her birthday. One of the erasers is shown below.
SAS21M07S1501
1 How many edges are there?
A. 17
B. 20
C. 25
D. 30
SAS21M07S1502
2 Raveena placed one eraser exactly above another. She claims that the number of faces in the combined
shape is the same as that of the single eraser. Do you agree? Explain your answer.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 50
CENTRAL BOARD OF SECONDARY EDUCATION
Curriculum Aligned Competency Based Test Items
Mathematics
Class 7 – Chapter 15
Visualising Solid Shapes
Raveena gives toy erasers as return gifts for her birthday. One of the erasers is shown below.
SAS21M07S1501
1 How many edges are there?
A. 17
B. 20
C. 25
D. 30
SAS21M07S1502
2 Raveena placed one eraser exactly above another. She claims that the number of faces in the combined
shape is the same as that of the single eraser. Do you agree? Explain your answer.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 50
Page 51
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 15
An ice-cream cart has an ice-candy drawn on all sides, except the top and the bottom.
SAS21M07S1503
3 Which geometric shape does the ice-cream container resemble?
A. Cuboid
B. Cylinder
C. Cone
D. Pyramid
SAS21M07S1504
4 How many ice-candies are drawn on the cart?
A. 1
B. 2
C. 4
D. 6
Jayesh chopped carrots this way.
SAS21M07S1505
5 Which geometric shape do the chopped carrots resemble? How many edges does one piece have?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 51
Class 7 – Chapter 15
An ice-cream cart has an ice-candy drawn on all sides, except the top and the bottom.
SAS21M07S1503
3 Which geometric shape does the ice-cream container resemble?
A. Cuboid
B. Cylinder
C. Cone
D. Pyramid
SAS21M07S1504
4 How many ice-candies are drawn on the cart?
A. 1
B. 2
C. 4
D. 6
Jayesh chopped carrots this way.
SAS21M07S1505
5 Which geometric shape do the chopped carrots resemble? How many edges does one piece have?
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 51
Page 52
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 15
A sketch of a house on a grid is shown below.
SAS21M07S1506
6 1 block represents one square unit.
Is face A identical to face B? Explain your answer.
A cuboid with given sides is shown below.
SAS21M07S1507
7 Which of the following can be another way of representing the cuboid?
A. B.
C. D.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 52
Class 7 – Chapter 15
A sketch of a house on a grid is shown below.
SAS21M07S1506
6 1 block represents one square unit.
Is face A identical to face B? Explain your answer.
A cuboid with given sides is shown below.
SAS21M07S1507
7 Which of the following can be another way of representing the cuboid?
A. B.
C. D.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 52
Page 53
Curriculum Aligned Competency Based Test Items Mathematics
Class 7 – Chapter 15
Rajat arranged some cubes as below.
7
SAS21M07S1508
8 How many cubes did he use?
A. 6
B. 9
C. 12
D. 18
SAS21M07S1509
9 “An equal number of cubes are seen in the top, front and side views in this cubical arrangement.”
Is the statement correct? Explain your answer.
SAS21M07S1510
10 Which of the following shows the side view of the arrangement?
A. B. C. D.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 53
Class 7 – Chapter 15
Rajat arranged some cubes as below.
7
SAS21M07S1508
8 How many cubes did he use?
A. 6
B. 9
C. 12
D. 18
SAS21M07S1509
9 “An equal number of cubes are seen in the top, front and side views in this cubical arrangement.”
Is the statement correct? Explain your answer.
SAS21M07S1510
10 Which of the following shows the side view of the arrangement?
A. B. C. D.
Copyright (c) 2021 CBSE and Sri Aurobindo Society All Rights Reserved Page 53
Document Details
| Board / Org | Aglasem |
| Exam | Class 7 |
| Type | Question Bank |
| Pages | 53 |
| Updated | 24 Sep 2026 |