Kerala Class 7 Model Question Paper Maths

Kerala Board

Sample
Papers

ANNUAL EXAMINATION
PRACTICE QUESTION PAPER
MATHEMATICS
CLASS : 7 TIME : 2 Hours
Score: 30
Instructions :
• There will be a cool off time of 15 minutes before writing the
examination.
• This time is to read and comprehend the questions well.
• You have to answer only 6 activities out of the given 8 activities.

Activity 1

A ) What is the area of triangle ABC ?

a ) 60 Sq.cm b ) 17 Sq.cm c ) 24 Sq.cm d ) 30 Sq.cm

(1)

B ) A right triangle has the same area of this triangle ABC. If one of its
perpendicular sides is 12 cm, what is the length of the other side?
(1)

C ) What is the length of the longest side of the triangle. (1)

D ) Draw this right triangle (2)

Activity 2

A ) A shop offers 20 rupees reduction on each 100 rupees. If a watch of price
950 rupees is bought from this shop, how much reduction will we get?

a ) ₹ 200 b ) ₹ 190 c ) ₹180 d ) ₹ 150 (1)

B ) This is the reduction offer displayed in a shop in connection with Onam.

Reduction sale

30 % Reduction
a) Raju bought a mobile phone of cost rupees 7500. What is the amount he has
to pay after the reduction ? (2)
b) Lissy got a reduction of 3600 rupees when she bought a T V from this shop.
What wass the price of this T V displayed in the shop? (2)

Activity 3

A ) If the middle number of three consecutive even numbers is taken as x, what
will be the first number?

a) x+2 b) x-2 c) 2 x d) x – 1 (1)

B)
2 + 4+ 6 = 12
4+ 6+ 8 = 18

6+ 8 + 10 = 24
..........
..........

Write the next two lines (1)
C ) What is the relationship between sum of three consecutive even numbers
and their middle number? (1)

D ) Explain this relationship using algebra. (2)

Activity 4

A ) What is the area of a square of perimeter as 40 centimetres?

a) 400 Sq.cm b) 200 Sq.cm c) 100 Sq.cm d) 80 Sq.cm ‍ (1)

B ) We can write

1764 = 22 x 32 x 72

What is the length of one side of a square of area 1764 sq. centimetre? (1)

C ) Find the area of the square in the given figure.
(1)

1
D) Draw a square of area 24 square centimetres. (2)
2

Activity 5

A kudumbasree unit took a loan of rupees 480000 from a Co-operative
bank for a period of one year to start a computer institute. The bank collects
1
6 % interest for one year. They spend 60% of the amount to buy computers
4

and the rest to buy furniture.

A ) What is the fraction corresponding to 6 1 % ? (1)
4
1
a) b) 1 c) 1
d) 1
6 4 12 16

B ) How much amount is spent on buying computers? (1)
C )What is the difference between the amounts used for buying computers and
furniture? (1)
D ) What is the amount to be paid in the bank after one year? (2)

Activity 6

The numbers given below are got by starting with 11 and adding the number 9
again and again .

11, 20, 29, 38, .....

A ) What is the largest two digit number among these numbers?

a) 90 b) 92 c) 88 d) 98 (1)

B ) What is the remainder on dividing each of these numbers by 9? (1)

C ) Is 200 a number among these? (1)

D ) Write the common form of these numbers using algebra. (2)

Activity 7

A ) Among the set of numbers given below, which set of numbers can be the
sides of a right triangle? (1)
a) 7, 8 , 9
b) 6 , 8 , 10
c) 5 , 10, 15
d) 8, 10 , 12
B ) The adjacent sides of a rectangle are 8 centimetres and 3 centimetres. What
is the area of the square drawn on the diagonal of this rectangle ? (1)
C ) The figure shows the drawing of a plot.
What is the area of the square shaped plot given in the figure?
What is the total area of the plot? (3)

Activity 8

This pie chart shows the annual production of different crops in a state .

A ) What percent of the total production is the
corn?

a) 15 % b) 5 % c) 10 % d) 40
(1)
B ) What is the difference between the production percent of rice and wheat?
(1)
C ) If the total production in this state is 4800 tons in the sate , how much ton
is the production of wheat? (1)
D ) In the pie chart, what is the central angle of the part showing the production
of sugarcane? (2)

Answer Key:
Activity 1
A ) 12 ∗(12∗5)=30 Sq. Cm (1)
B ) 5 cm (1)
C) 13 cm (1)
D)
Draw a right triangle with its
perpendicular sides 12 and 5
centimetres
(2)

Activity 2

A ) 190 (1)
B)
a) ₹5250 (2)
b) ₹12000 (2)

Activity 3

A)x–2 (1)
B ) 8+ 10+ 12 = 30 (1)
10+ 12 + 14 = 36

C ) The sum of three consecutive even numbers will be equal to three
times of the middle number. (1)

D ) x-2 + x + x + 2 = 3x (2)

Activity 4
A ) 100 (1)
B ) 42 (1)
C) 450 Sq.cm (1)
D)
Area of a right triangle with its
perpendicular sides 3.5 cm = (3.5)2 + (3.5)2
= 24.5
(2)

OR
Draw a square with sides 7 cm and draw a
square with diagonal as its one side.

Activity 5
1
A) 16
(1)
60
B ) Amount spent for buying Computers = 480000 x 100

= ₹ 288000 (1)
C ) Difference between the amount percents = 60- 40 = 20%
20
Difference between the amounts = 480000 x 100

= ₹ 96000 (1)
1
D ) 480000 x 16
= 30000

Amount to be repaid to the bank = 480000 + 30000 = ₹510000 (2)

Activity 6

A ) 92 (1)
B) 2 (1)
C ) Yes (1)
D ) 9n+2 , Here n= 1, 2 , 3, ........ (2)

Activity 7

A ) 6, 8 , 10 (1)
B) 82 + 32 = 73 Sq. m (1)

C)

Area of the square = 52 + 122
= 169 Sq. m (1)

1
Area of the right triangle= 2
x 12 x 5

= 30 (1)
Area of the rectangle = 12 x 3 = 36
Total area = 169 +30 + 36 = 235 Sq. m (1)

Activity 8
A) 5% (1)
40
B) 4800 x 100
= 1920 Ton (1)

C) 25% (1)

25
D ) 360 x 100
= 900 (2)

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