CBSE Class 6 Mathematics Sample Paper Set C

CBSE Class 6 Mathematics Sample Paper Set C. 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

1 The side of a regular octagon is denoted by t. Express the perimeter of an octagon using t.

Ans. Perimeter=8t

2 Write 0.725 in lowest form. 

Ans. 0.725= 725 / 1000 = 29/40

3 What fraction of an hour is 12 minutes?

1 hour= 60 mins, therefore

12/60 = 1/5

4 Find the ratio of 55p to Re.1.

55: 100

11:20

Section - B

5 The length of a rectangular hall is 3 meters less than 2 times the breadth of the hall. What is the length, if breadth is b meters?

Ans. Breadth of the hall= b meters

Length of the hall= (2b-3) metres

6 Find the cost of fencing a rectangular park of length 35 m and breadth 18 m at the rate of Rs 20 per meter.

Ans. per meter.

Perimeter= 2(l+b)

=2(35+18)=106 m

Cost of fencing at the rate of Rs 20 per meter = 20×106= Rs2120

7 Draw a line segment MN of length 6.3 cm and find its axis of symmetry. 2

8 The number of books issued from a school library in working days of a week are as follows:

Show the above data by a pictograph using an appropriate scale.

9 Somya has Rs 350.80 in her pocket. She buys a school bag for Rs 250.50. How much money is left with her now?

Ans Money left with Somya after purchasing a bag= Rs.350.80-Rs 250.50=Rs 100.30

Hence statement

10 Read the pictograph and answer the following.

A cupboard has 4 compartments in each compartment a row of books is arranged.

a) Which row has the greatest number of books?

b) Which row has least number of books?

c) Find the total number of books present in cupboard.

a) row 2

b) row 1

c) row1+2+3+4= 5+20+10+15=50 books total

d) row2-row4= 20-15 =5 books

d) Find the difference between number of books in Row 2 and Row 4.

Section - C

11 Cost of a dozen pens is Rs 240 and the cost of 7 ball pens is Rs 91. Find the ratio of cost of a pen to the cost of a ball pen.

Cost of a dozen pens=Rs. 240

Cost of 1 pen= 240/12= Rs. 20

Cost of 7 ball pens= Rs. 91

Cost of a ball pen= 91/7=Rs. 13

RATIO

20: 13

12 Draw a line segment of length 9.2 cm .Using compasses divide it into four equal parts.

Drawing a line segment of length 9.2 cm

Draw a perpendicular bisector of 9.2 cm

Draw 2 perpendicular bisectors of 4.6 cm

13 Give expressions in the following cases :

a) 8 is subtracted from 6 times of x.

b) y is divided by 6 and result is added to 12.

c) 9 subtracted from the product of 4 and –z.

a) 6x-8

b) y/6+12

c) -4z-9

14 Do the ratio 15cm to 90 cm and 24 seconds to 3 minutes form a proportion?

15: 90 :: 24: 3×60

15: 90 :: 24: 180

1: 6 :: 2:15

No, the ratio does not form a proportion.

15 Draw a line segment MN of length 5.5 cm. Construct a line segment PQ of the same length as of MN.

Drawing a line segment MN of length 5.5 cm.

With the help of ruler and compass drawing a copy of the same line segment.

16 The length and breadth of a door are 30 m and 20 m, respectively. Find the cost of polishing the door at a rate of Rs.2 per square metre.

Area of the door= length × breadth

=30 × 20 =600 square meters

Cost of polishing at a rate of Rs.2 per square metre.=Rs.2 × 600

= Rs. 1200

Hence statement

17 Meenu runs around a square park of side 40 m and Ravi runs around a rectangular park of length 25 m and breadth 16 m.Who covers less distance and by how much ?

Distance covered by Meenu=4 × side=4×40=160 m

Distance covered by Ravi=2(l+b)= 2(25+16)

=82 m

Hence, Ravi covers less distance and by (160-82)m= 78m

Read it carefully and answer the questions given below:

(a) What information does the bar graph give?

(b) In which subject is the student poorest and in which subject he is best?

(c) In which subjects did he get more than 40 marks?

a) Marks obtained by a student in an examination.

b) Poorest- Science, Best- Maths

c) Hindi and Maths

19 A dice was thrown 20 times and number appearing each time as shown below

1,3,5,2,4,6,8,5,1,2,6,2,3,4,5,6,2,5,1,3

Make a table and enter the data using tally marks.

Making a table with 3 columns under the following headings- number appeared, tally marks and frequency

Checking the total of frequency

20 Harish travelled 110 km 267 m by bus, 15 km 32 m by rickshaw and the rest of his journey was on foot. If he travelled 142 km 356 m in total, how much did he travel on foot?

Total distance travelled by Harish= 142.356 km

Distance travelled by bus= 110.267 km

Distance travelled by rickshaw= 15.32 km

Distance travelled on foot = 142.356-(110.267+15.32)

=17.057 km or 17 km 57 m

Section - D

21 Draw an angle of 1200 and divide it into four equal parts.

Drawing an angle of 120o with ruler and compass.

Making an angle bisector of this angle i.e making 2 60o angles Again making 2 angle bisectors of both 60o angles

Now we will get 4 equal parts of 120o angle.

22 Take Sarita’s present age as z years.

a) What will be her age 5 years from now.

b) What was her age 6 years back.

c) If Sarita’s father’s present age is 3 times of Sarita’s age then what is Sarita’s father’s age ?

d) What will be Sarita’s father’s age 5yrs from now.

a) z+5

b) z-6

c) Fathers present age= 3z

d) 3z+5

23 In a school of 750 students, 225 are girls. Find the ratio of –

a) boys to girls

b) girls to boys

c) number of girls to total number of students

d) number of boys to total number of students

a) 525 : 225

7:3

b) 225 : 525

3:7

c)225: 750

3: 10

d)525 : 750

7 : 10

24 A survey of 135 school students was done to find the activity they prefer to do in their free time.

Make a bar graph for the above data.

Making a bar graph accurately.

Writing an appropriate scale.

25 Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of shreya is 15 yrs and age of Bhoomika is 12 yrs. Find how much amount Shreya and Bhoomika will get.

Total money mother has= Rs. 36

Shreya: Bhoomika

15 : 12

5 : 4

5 ×4 : 4 × 4

20 : 16

Therefore, shreya will get Rs 20 and Bhoomika will get Rs 16.

26 Six square flower beds each of side 1m are dug on a piece of land 6m long and 5m wide. What is the area of the remaining portion of the land?

Area of the entire land= 6 × 5 =30 square m

Area of 1 square flower bed= 1 × 1= 1 sq. m

Area of 6 square flower beds= 1 × 6= 6 sq. m

Area of the remaining portion of land= 30- 6= 24 sq. m

28 Construct an angle of 450 with ruler and compasses.

Construct a 90o angle.

Make an angle bisector of 90o.

Mark this angle as 45o each

29 Bob wants to cover the floor of a room 3 m wide and 4 m long by squared tiles of side 0.5m each . Find the number of tiles required to cover the floor of the room .

Area of the entire room= (3 × 4)sq. m=12 sq. m

Area of one squared tile= 0.5×0.5= 0.25 sq.m

Number of tiles =Area of entire floor/area of one tile= 12/0.25=48 tiles

30 A motor bike travels 220km in 5 L of petrol.

a) How much distance will it cover in 15 L.

b) How much petrol is required to cover 440km.

a) distance covered in 1 l= 220/5= 44 km

distance covered in 15 l= 15 × 44 660 km

b) In 5l motor bike travels=220km

Petrol required to cover 440 km= 10l

31 A bike “ A” covers a distance of 45 km in 5 liters of petrol another bike “B” covers a distance of 84 km in 7 liters of petrol. Which bike we should purchase and Why ?

Bike A covers 45 km in 5 l

In 1 l distance covered= 45/5 =9 km

Bike B covers 84 km in 7 l

In 1 l distance covered= 84/7 =12 km

Since bike B is covering more distance in 1 l petrol , therefore we should buy bike B.

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