Class 6 Sample Paper Maths (Half Yearly)

SAMPLE
PAPER
Half Yearly Examination

Prepared For
NCERT BASED SYLLABUS
Applicable For
CBSE BOARD AND STATE BOARD USING NCERT

WWW.

HALF YEARLY EXAMINATION
SAMPLE QUESTION PAPER

Class - VI Subject – Mathematics
Time – 3 Hours Maximum Marks- 80

GENARAL INSTRUCTIONS

1. The question paper contains two parts: Part A & B
2. Both parts A & B have internal choices.
PART-A
1. It consists of 2 sections 1 & 2.
2. Section 1 has 16 questions of 1 mark each. Internal choice is there in 5 questions.
3. Section 2 has 4 questions on case study. Each case study has case based 5 sub-parts.
Examinee has to attempt any 4 sub-parts out of 5.
PART-B
1. Question nos. 21-26 are very short answer type questions of 2 marks each.
2. Question nos. 27-33 are short answer type questions of 3 marks each.
3. Question nos. 34-36 are long answer type questions of 5 marks each.
4. Internal choice is provided in 2 questions of 2 marks, 2 questions of 3 marks and 1
question of 5 marks.

PART A

SECTION-1

Direction: (Q nos. 1-16) Section-1 has 16 questions of 1 mark each. Internal choice is provided in
5 questions.

1. Write the smallest six digit number having four different digits.
OR

Estimate: 5673 - 436

2. Express CLXVI and CDXLVI as Hindu-Arabic Numeral.

3. How many 4- digit numbers are there in all?
OR
How many milligrams make one kilogram?

4. How many billions make one trillion?
5. Find the product of the place values of two 8’s in the number 2878429.
6. How many whole numbers lie between 31 and 78?
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7. Write three whole numbers occurring just before 1001.
8. Factorize 234 into prime factors and write the factors in ascending order.
9. Write all the factors of 68.
10. Write all the numbers less than 100 which are common multiples of 3 and 4.
11. Write seven consecutive numbers less than 100 so that there is no prime number between
them.
OR
Write the greatest 4 digit number and express it as prime factors.

12. Draw any polygon, name it and shade its interior.
13. Write the measure of the two angles between hour hand and minute hand of a clock at 9’ o
clock.
OR
Which part of revolution you have turned through if you stand facing south and turn
clockwise to face east?
14. Find the number of right angles turned through by the hour hand of the clock when it goes
from 12 to 9.
15. How many integers are there between -11 and -2 ?
OR
Write 4 negative integers less than -10.
16. Using number line add the following integers : (-2) + 8 + (-4)

SECTION-2

Directions: (Q nos. 17-20) Section-2 has 4 questions on case study. Each case study
has case based 5 sub-parts. Examinee has to attempt any 4 sub-parts out of 5. Each
sub-part carries 1 mark.

17. We have seen that the numbers 1,2,3,4……….etc are natural numbers. These natural
numbers along with the number zero form the collection of whole numbers. That is
numbers 0,1,2,3….. are called whole numbers. Thus 0 is the first and the smallest whole
number. There is no last or greatest whole number. All natural numbers are whole
numbers. All whole numbers are not natural numbers. For example, 0 is a whole number
but it is not a natural number

(i) The successor of the smallest whole number is
(a) 0 (b) 1 (c) 2 (d) none of these
(ii) The product of a whole number(other than zero) and its successor is
(a) An even number (b) an odd number (c) divisible by 4 (d) divisible by 3
(iii) The product of the predecessor and successor of an odd natural number is always

divisible by
(a) 2 (b) 4 (c) 6 (d) 8

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(iv) The whole number n satisfying n + 35 = 101 is
(a) 65 (b) 67 (c) 64 (d) 66

(v) If n is a whole number such that n + n= n, then n =?
(a) 1 (b) 2 (c) 3 (d) none of these

18. A teacher explained the properties of HCF and LCM of given numbers as follows:
The HCF of given numbers is not greater than any of the numbers.
The LCM of given numbers is not less than any of the given numbers.
HCF of two co-prime numbers is 1.
LCM of two or more co-prime numbers is equal to their product.
The product of HCF and LCM of two numbers is equal to the product of given numbers.
According to above statements answer the questions below :

(i) The HCF of 100 and 101 is
(a) 1 (b) 7 (c) 37 (d) none of these.
(ii) The LCM of 100 and 101 is
(a) 10100 (b) 1001 (c) 10101 (d) none of these.
(iii) Which of the following pair of numbers is co-prime?
(a) (2,4) (b) (3,9) (c) (4,15) (d) (10,20)
(iv) The LCM and HCF of two numbers are 180 and 6 respectively. If one of them is 30,
then the other number is
(a) 24 (b)30 (c) 36 (d) 48
(v) The HCF of two consecutive even numbers is
(a) 1 (b) 2 (c) 0 (d) non-existent

19. To add two positive or two negative integers we add their absolute values and assign the
sign of the addends to the sum. To add a positive and a negative integer we determine the
difference of their absolute values and assign the sign of addend having greater absolute
value. For subtraction of two integers, we take the additive inverse of the integers to be
subtracted and add it to the other integer. In light of above information answer the
questions below:

(i) The sum of two negative integers is
(a) +ve integer (b) –ve integer (c) zero (d) one
(ii) The sum of (-3) and (-5) is
(a) 8 (b) -2 (c) 2 (d) -8
(iii) On subtracting -7 from -14 we get
(a) -21 (b) -7 (c) -14 (d) 7
(iv) If the sum of two integers is -26 and one of them is 14, then the other integer is

(a) -12 (b) 12 (c) -40 (d) 40

(v) 9 + |-4| =
(a) 5 (b) -5 (c) 13 (d) -13

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20. People The Covid-19 Pandemic, also known as the corona virus pandemic, is an ongoing
pandemic of corona virus disease 2019 caused by severe acute respiratory syndrome.
During survey, the ages of 100 patients admitted in a hospital were recorded and the
collected data is represented as follows:

Age(in years) Number of patients

5-15 16

15-25 11

25-35 21

35-45 23

45-55 14

55-65 15

Based on the above information, answer the following questions:

(i) The age group with highest frequency?
(a) 45-55
(b) 35-45
(c) 25-35
(d) 15-25
(ii) Which group was affected the least?
(a) 35-45
(b) 15-25
(c) 55-65
(d) 45-55
(iii) Which age group was affected second most?
(a) 35-45
(b) 25-35
(c) 15-25
(d) 45-55
(iv) How many patients of age 45 yrs. and above were admitted?
(a) 61
(b) 29
(c) 14
(d) 23
(v) How many patients of the age less than 35 yrs. were admitted?
(a) 17

(b) 38
(c) 61
(d) 48

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PART-B

Direction: (Q nos. 21-26) these are very short answer type questions of 2 marks each.

21. Find the product by suitable arrangement: 125 x 40 x 8 x 25
OR
Find the value using suitable property: 15625 x 15625 -15625 x 5625
22. Give reason why a rectangle can be thought of as a special parallelogram.
23. Draw a circle with centre O and radius 2.5cm. What is the length of the longest chord of
this circle?
24. Compare the following giving proper justification : (-21) – (-10) ___ (-31) + (-11)
25. A greengrocer had a profit of Rs. 447 on Monday, a loss of Rs. 217 on Tuesday, a loss of Rs.
81 on Wednesday and a profit of Rs. 51 on Thursday. Find his net profit or loss in 4 days.
OR
Subtract the sum of -1250 and 1138 from the sum of 1136 and -1272.
26. Sneha is asked to collect data for size of shoes of students in her class VI. Her findings are
recorded in the manner shown below : 4, 5,6,4,5,7,8,4,5,6,7,4,5,5,6,6,5.
Prepare a frequency distribution table using tally marks.

Direction: (Q nos. 27-33) these are short answer type questions of 3 marks each.

27. In one state, the number of bicycles sold in the year 2020-2021 was 743000. In the year
2021-2022, the number of bicycles sold was 800100. In which year were more bicycles sold
and how many more?
28. Determine the product of the greatest number of four digits and the greatest number of
three digits by using distributive property.
OR
A taxi driver filled his car petrol tank with 50 litres of petrol on Monday. The next day, he
filled the tank with 40 litres of petrol. If the petrol costs Rs. 44 per litre, how much did he
spend in all on petrol?
29. In a morning walk, three persons step-off together. Their steps measure 80cm, 85cm and
90cm respectively. What is the minimum distance each should walk so that all can cover
the same distance in complete steps?
OR
In a seminar, the number of participants in Hindi, English and mathematics are 60,84,108
respectively. Find the minimum number of rooms requited if in each room the same
numbers of participants are to be seated and all of them being in the same subject.

30. Determine the lowest natural number which when divided by 16, 28, 40, 77 leaves
remainder 8 in each case.
OR

Determine the greatest three digit number exactly divisible by 8, 10, 12.
31. Draw a rough sketch of quadrilateral KLMN and state:
a) Two pairs of opposite angles.
b) Two pairs of adjacent sides.
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32. Draw a rough sketch of regular hexagon. Connecting any 3 of it’s vertices, draw a triangle.
Identify the type of triangle you have drawn and name it.
33. Find the sum of:
a) -50, -200 and 300
b) (-7)+ (-9)+ (4)+ (16)

Direction: (Q nos. 34-36) these are long answer type questions of 5 marks each.

34. (a) There was a stock of 17380245 quintals of wheat in a godown of the Food Corporation
Of India. Out of this stock, 2756744 quintals of wheat was sent to Haryana and 4863108
quintals to Punjab. How much is the balance stock now?
(b) A machine, on an average, manufactures 2825 screws a day. How many screws did it
produce in the month of January 2022 ?
OR
(a) The distance between the school and the house of a student is 1Km 75m. Every day he
walks both ways. Find the total distance covered by him in six days.
(b) Ravi has Rs.78592 with him. He placed an order for purchasing 39 radio sets of Rs. 1234
each. How much money will remain after the purchase?
35. Draw rough diagrams of two angles such that they have
a) one point in common
b) two points in common
c) three points in common
d) four points in common
e) one ray in common.

36. Following is a table which show the marks obtained by Sharad in half yearly examination
in different subjects:

Hindi English Mathematics Science Social Science

80 60 70 50 40

Draw a bar graph taking scale as 1 unit length = 10 marks.
Also answer the following questions:
a) What information does the bar graph give?
b) Name the subject in which Sharad scored maximum marks.
c) Name the subject in which he scored minimum marks.

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