CBSE Class 6 Mathematics Sample Paper Set A

CBSE Class 6 Mathematics Sample Paper Set A. It’s always recommended to practice as many CBSE sample papers as possible before the examinations. The latest sample papers have been designed as per the latest blue prints, syllabus and examination trends. Sample papers should be practiced in examination condition at home or school and also show it to your teachers for checking or compare with the answers provided. Students can download the sample papers in pdf format free and score better marks in examinations. Refer to other links too for latest sample papers.

Section-A

Q.1 Convert Rs. 70 to paise. 

Ans. Convert Rs. 70 to paise.

7000 paise

Q.2 Using digits 0, 7, 8, 4 form a greatest four digit number.

Ans. Using digits 0, 7, 8, 4 form a greatest four digit number.

8740

Q.3 Write first four multiples of 45.

Ans Write first four multiples of 45.

45, 90, 135, 180

Q.4 What is the special name for two lines that never intersect each other ? 

Ans Parallel lines

Section-B

Q.5 Using distributive property find the value of 78 × 8 + 78 × 2 2

Ans 78 × ( 8 + 2 ) = 78 × 10 = 780

Q.6 Arrange the integers in descending order: 18, - 45, - 9, 7, 1, 2

Ans. 18 > 7 > 2 > 1 > -9 > -45

Q.7 Solve:

a) 34 + (–98)

b) –33 – (–56)

Ans. a) 34 + (-98)

34 – 98

-64

B) -33 - (-56)

-33 + 56

23

Q.8 Find the sum of the smallest 4 digit number and largest 3 digit number. 

Smallest 4 digit number = 1000

Greatest 3 digit number = 999

Difference = 1

Q.9 Draw a 5 sided polygon. Name it and shade its interior. 

Q.10 Anita bought a sweater worth Rs. 1899 and scarf worth Rs. 549.Find her total bill amount that she will pay after rounding off both sweater and scarf to the nearest hundreds.

Section-C

Q.11 Compare the following(< , > or = sign)

(–136) – (– 48) ____ (–148) – (–36)

Ans. -136 + 48 ____ -148 + 36

- 88 > - 112

Q.12 A shopkeeper sold 30 stools for Rs. 430 each and 30 tables for Rs. 670 each. Find the total money received by the shopkeeper.

Ans Cost of 30 stool = 30 × 430

Cost of 30 tables = 30 × 670 Distributive property

Total cost = 30 × 430 + 30 × 670 = 30 × ( 430 + 670 ) = 30 × 1100 = Rs. 33000

Q.13 A rope 45 m 60 cm long has been cut into 20 pieces. Find the length of each piece.

Ans Length of the rope = 45m 60cm = 45.60 m

Length of each rope after cutting into 20 pieces = 45.60 20 = 2.28 m or 228 cm

Q.14 What is the smallest 4 digit number, which is divisible by 24, 36, 54.

Ans. LCM of 24, 36 and 54 = 216

Multiples of 216 = 216, 432, 648, 864, 1080

Hence the smallest 4 digit no. divisible by 24, 36 and 54 is 1080.

Q.15 Grover Mithaiwala orders 19 litres of milk every day. Tomorrow he will be making small kheer cups for customers who will keep Shiv-Ratri fast. For 1 cup, 172 ml of milk will be used,if he wishes to make 156 cups how much extra milk will he order? Find out how much milk should he purchase tomorrow?

Ans. Milk required for 156 cups = 172 ml × 156 = 26832 ml =26.832 l

Extra milk to be ordered = 26.832 – 19 = 7.832 l

Hence statement.

Q.16 Draw a circle with centre O and radius OA.

(a) Mark two points in the exterior of a circle .

(b) Draw a chord PQ and diameter QR.

(c) Draw a sector and name it.

Q.17 The length, breadth and height of a room are 525 cm, 600cm and 675cm. Find the length of longest tape that can measure the three dimensions of the room exactly?

Ans The length, breadth and height of a room are 525 cm, 600cm and 675cm. Find the length of longest tape that can measure the three dimensions of the room exactly?

HCF of 525,600,675

Finding HCF = 75

Statement + units

Q.18 Rewrite the following numbers with commas and their number names according to the system given.

a) 45721806 (Indian System) ___________________

b) 32995644(International System) ___________________

Ans  a) 45721806 (Indian System) 4,57,21,806 – four crores, fifty seven lakhs, twenty one thousand, eight hundred six.

b) 32995644(International System) 32,995,644 – thirty two million, nine hundred ninety five thousand, six hundred forty four.

Q.19 a) Write all the factors of 120.

b) Express the following as a sum of two odd primes:

(i) 36

(ii) 24

Ans  (i) 36 = 29 + 5

(ii) 24= 19+5

Q.20 Use number line and add the integers: (–6) + 8 + (–5) 3

Ans  Drawing the number line ( ½ mark ) Showing the working 2 marks. Final Answer ( ½ mark )

Section-D

Q.21 a) Draw a quadrilateral WXYZ. Draw its diagonals and name them.

b) Write a pair of opposite angles.

c) Write a pair of adjacent sides.

Ans a) Draw a quadrilateral WXYZ. Draw its diagonals and name them.

b) Write a pair of opposite angles.

c) Write a pair of adjacent sides.

Q.22 a) Write number of faces, vertices and edges of the following:

1. Triangular Pyramid

2. Square Pyramid

b) Write the name of regular Quadrilateral.

Ans Write number of faces, vertices and edges of the following:

Triangular Pyramid F= 4

V=4

E=6

Square Pyramid

F= 5

V=5

E=8

b) Write the name of regular Quadrilateral.

Square

Q.23 a) Where will the hour hand of a clock stops if it starts:

(i) From 6 and turn through 1 right angle

(ii) From 11 and turns through 3 right angles

b) Which direction will you face if you start facing

(i) West and make half of a revolution clockwise.

(ii) East and make of a revolution anticlockwise.

Ans. a) Where will the hour hand of a clock stops if it starts:

(i) From 6 and turn through 1 right angle

(ii) From 11 and turns through 3 right angles

b) Which direction will you face if you start facing

(i) West and make half of a revolution clockwise.

east

ii)East and make 3/4 of a revolution anticlockwise.

south

Q.24 Find:

a) 63 + (–10) + (–83) – (–9)

b) (–92)–(–18)+22+(–21)

(2+2)

Ans. Find:

a) 63 + (–10) + (–83) – (–9) = 63 – 10 – 83 + 9 = 63 + 9 – 10 – 83 = 72 – 93 = - 21

b) (–92)–(–18)+22+(–21) = - 92 + 18 + 22 – 21 = - 92 – 21 + 18 + 22 = - 113 + 40 = - 73

Q.25 Using divisibility test, determine whether the number 14433881 is divisible by 11 or not?

Is it divisible by 3?

Ans.  Is it divisible by 3?

Sum of odd places digits = 1 + 8 + 3 + 4 = 16

Sum of even places digits = 8 + 3 + 4 + 1 = 16

Difference = 0 Since 0 is divisible by 11, 14433881 is divisible by 11.

1 + 4 + 4 + 3 + 3 + 8 + 8 + 1 = 32 since 32 is not divisible by 3, 14433881 is not divisible by 3.

Q.26 In the figure given:

a) Ð3can be renamed using 3 letters as Ð ___________ or Ð____________.

b) The common arm of Ð1 and Ð2 is ________________________.

c) A pair of parallel line segments is ____________________________.

d) ____________________________ is the diagonal of Figure.

Q.27 The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again? Explain why following traffic rules is important for us?

Ans  Time after which the traffic lights will change simultaneously = LCM of 48, 72 and 108

= 432 seconds = 7 min 12 sec

Time = 7 : 07 : 12 am

It is important to follow the traffic rules because they are made for our safety only.

Q.28 a) Write a pair of twin prime numbers.

b) Write any four integers less than -35.

c) Write all the integers between 6 and -6.

d) Add 165 and -90.

Q.29 Using suitable properties, find:

a)279x 103 (b) 51409 + 178 + 591 + 522

Ans a) Write a pair of twin prime numbers.

17 and 19

b) Write any four integers less than -35.

-36 -37 -38 -39

c) Write all the integers between 6 and -6.

-5, -4,-3,-2,-1,0,1,2,3,4,5

d) Add 165 and -90.

75

Q.30 From one sheet of thick wood 6 pages of paper can be made. How many pages can be made with 75000 sheets of wood? If in one book there are 150 pages, how many books can be made with the help of these pages?

Ans. No. of pages made from 75000 sheet of wood = 75000 × 6 = 4,50,000

No. of books made = 4,50,000x150 = 3000

Hence statement.

Q.31 A vegetable bag weighs 10 kg, having vegetables potatoes, tomatoes and onions. In the bag tomatoes weigh 4 kg 20g, onion weigh 2 kg 800g, find weight of potatoes in the bag.

Ans. Hence statement.

Ans.1  Weight of tomatoes = 4.020 kg

Weight of onion = 2.800 kg

Total weight of tomatoes and onion = 6.820 kg

Weight of potatoes = 10 – 6.820 = 3.180

Hence potatoes weigh 3 kg 180 g.

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