CBSE - Maths Sample Papers 1

            CBSE - Maths Sample Papers

CBSE Solved Sample Papers for Class 6 for Maths Subject is given below. The solved sample papers are created as per the latest CBSE syllabus and curriculum keeping in mind the latest marking schemes.

Section – A

Question 1 : 2/5 + 3/5 + 11/20 is equal to :

(a)    25/20
(b)   24/20
(c)    28/20
(d)   19/20

Answer :  (b) 24/20

Question 2 : An equilateral triangle has:

(a)    1 lines of symmetry
(b)   2 lines of symmetry
(c)    3 lines of symmetry
(d)   None of these

Answer : (c) 3 Lines of symmetry

Question 3: The absolute value of -10 is:

(a)    -10
(b)   10
(c)    -11
(d)   -9

Answer : (b) 10

Question 4: The smallest positive integer is:

(a)    0
(b)   1
(c)    Not determined
(d)   None of these

Answer : (b) 1

Question 5: Perimeter of a rectangle of a length 7.5 cm and breadth 3 cm  is:

(a)    21 cm
(b)   22 cm
(c)    23 cm
(d)   None of these

Answer : (a) 21 cm

Question 6: Digit at the tenths place in 256.96 is:

(a)    2
(b)   6
(c)    5
(d)   9

Answer : (d) 9

Question 7: 5 more than a number:

(a)    5x
(b)   5+x
(c)    5-x
(d)   5/x

Answer : (b) 5+x

Question 8: Which instrument is used to draw arcs and circles

(a)    Scale
(b)   Compass
(c)    Set square
(d)   Protector

Answer : ( b) compass

Question 9: How many arcs are to be drawn to construct an angle of 90°

(a)    Five
(b)   Seven
(c)    Three
(d)   One

Answer : (a) five

Question 10: Perimeter of a square of side 6.7 cm is:

(a)    24.6 cm
(b)   26.8 cm
(c)    27.5 cm
(d)   28.8 cm

Answer : (b) 26.8 cm

Section – B

Question 11: Solve (-32) – (-50)

Answer : -32 – (-50)

•  -32 + 50
•  18 ans.

Question 12: Convert 72 cm into metre.

Answer : 1 meter = 10 cm

•  72 cm = 72/100
•  0.72 m ans.

Question 13: Find the sum:

27.076 + 0.55 + 0.004

Answer :

•  27.076 + 0.55 + 0.004
•  27,630 ans.

Question 14: Mr. Bansal spends Rs. X daily and saves Rs. Y per week what is his income for two weeks?

Answer : Income for 1 week = Rs. (y + 7x)

•  Income for 2 week = Rs. 2(y + 7x)
•  Rs.(2y + 14x) ans.

Question 15: Arrange the following decimals in ascending order:

0.8, 8.8, 8.08, 88.8, 0.08

Answer : Decimals arranged in ascending order are:

•  0.08, 0.8, 8.08, 8.8, 88.8

Question 16: Subtract 17/6 from 33/4

Answer : 33/4 – 17/6

•  (99 – 34)/12
•  65/12 ans.

Question 17: The side of a square is 14 cm, find its area.

Answer : Side of a square = 14 cm

•  Area of square = (side)2
•  (14 *14) = 196 cm2 ans.

Question 18: Find the value of 12/15 = 7/15

Answer : 12/15 = 7/15

•  (12 -7)/15
•  5/15
•  1/3 ans.

Section – C

Question 19: These are 20 girls and 45 boys 1n a class

• (a)    What is the ratio of number of girls to the number of boys?
• (b)   What is the ratio of number of girls to total number of students in the class?

Answer : Number of girls = 20

•  Number of boys = 45
•  (a) ratio of number of girls to no. of boys = 20:45
  4:9
•  (b) Total no. of students in the class = 20 + 45 =85
   Ratio of no. of girls to total no. of students = 20:85 4:17

Question 20: The length and breadth of a rectangular field arc in the ratio 3:2 the cost of covering the field at Rs. 6.50 per meter is Rs. 520. Find the dimension of the field,

Answer : Let the length =(3x)n

•  The breadth =(2x)m
•  Perimeter of the field = 2(3x + 2x)
•  (10x)m
•  According to question
•  Perimeter of the field = (Total cost)/(Rate per meter)
•  520/6.5
•  80m
•  Therefore, 10x = 80
•  X = 80/10
•  8
•  Dimension of the field will (3 *8)m and (2 * 8)m or 24m and 16m.

Question 21: A wire of length 7/8 m is broken into two piece. If the length of 1 piece is 1/4 m what is the length of other piece?

Answer : Total length of wire = 7/8 m

•  Length of one piece = 1/4 m
•  Length of other piece =(7/8 – 1/4)m
•  (7 – 2)/8
•  5/8 m

Question 22: Find the perimeter of the adjacent figure.

Answer : Perimeter of figure =sum of all sides

•  (5 + 6.5 + 9 + 6) cm
•  26.5 cm

Question 23: Solve (-2) + (8) + (-4) on the number line,

Answer : 

Question 24: Write coefficients of:

(a)    a in 5ab2c

(b)   ab in -5abc

(c)    y in -3xy

Answer :

(a)    Coefficient  of a in 5ab2c is 5b2c

(b)   Coefficient  of ab in -5abc is -5c

(c)    Coefficient  of y in -3xy is -3x

Question 25: Draw the line symmetry for the following English alphabets:

Answer :

Question 26: The cost of a pen is Rs. 19/3 and that of a pencil is Rs. 21/5, which costs more and by now much?

Answer : The cost of a pen = Rs. 19/3

•  The cost of a pencil = Rs. 21/5
•  The cost of a pen is more = Rs. (19/3 – 21/5)
•  (95 – 63)/15
•  32/15 ans.

Question 27: Urmila’s school at a distance of 5 km 350m from her home, she travels 1 km 70 m on foot and rest by bus, How much distance does she travel by bus?

Answer : Distance of school from home = 5 km 350 m

•  Distance covered on foot = 1km 70 m
•  Distance travelled by bus = (5 km 350 m – 1 km 70 m)
•  3 km 280 m ans.

Question 28: Express the following as an using decimals :

(a)    2 mm
(b)   30 mm
(c)    4 cm 2 mm

Answer :

(a)    2/10 cm = 0.2 cm
(b)   30/10 = 3 cm
(c)    4 + 2/10 = 4.2 cm

Section – D

Question 29: Dram any line segment . Mark any point M on it. Through M draw a perpendicular to . (Use ruler and compass)

Answer :

•  Step 1: Given a point M on the line – segment .
•  Step 2: with M as center and a convenient radius, construct part of cicrcle(arc) intersecting the line – segment at P and Q
  
•  Step 3: with pand Q as center and radius greater than pm construct two arcs.
•  Step 4: Join MN. Then MN is perpendicular to .

Question 30: Add the following

(a)    25/8 + 17/12
(b)   11/3 + 11/6 + 2

Answer :

(a)    25/8 + 7/12

•  (75 + 34)/24
•  109/24 ans.

(b)   11/3 + 11/6 + 2

•  (22 + 11 + 12)/6
•  45/6
•  5/12 ans.

Question 31: A marble file measures 25 cm by 15 cm. how many tiles will he required to cover floor of dimensions of 10 m and 3 m?

Answer : Area of floor 10m * 3m

•   30m2
•   Area of tile = 25 cm * 15 cm
•   375 cm2
•   No. of tiles = (Area of floor) /(Area of tile)
•   (30 * 100 * 100)/375 cm2
•   800 tiles ans.

Question 32: Cost of 4 dozens bananas is Rs. 60. How many bananas can be purchased for Rs.12.50?

Answer : In Rs. 60 no. of bananas purchased = 48

•   In Rs. 1 no. of bananas purchased 48/60
•   In Rs. 12.50 no. of bananas purchased = 40/60 *12.50
•   4/5 * 1250/100
•   2*5
•   10 bananas

Question 33: Find the cost of fencing a rectangular pack of length 175m and breadth 125m at the rate of Rs. 12 per meter.

Answer : Length of the rectangular park = 175m

•   Breadth of the rectangular park = 125m
•   Perimeter of park = 2(l + b)
•   2(175 + 125)m
•   2 * 300
•   600m
•   Cost of one meter of wire = Rs. 12
•   Cost of fencing the rectangular park = Rs. 12 * 600m
•   Rs. 7200 ans.

Question 34: Give expressions in the following cases:

(a)    11 added to 2m
(b)   5 times y to which 5 is added
(c)    3 times y from which 3 is subtracted
(d)   11 subtracted from 2m

Answer :

(a)    2m + 11
(b)   5y + 5
(c)    3y – 3
(d)   2m – 11

Sample Paper 2

MATHEMATICS
SAMPLE TEST PAPER (TermII)
CLASS VI

Class: 6 | Max Marks: 45 | Time : 2 hrs

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General Instructions:

• All questions are compulsory.
• Questions 1 to 4 carry 1 mark each.
• Questions 5 to 7 carry 2 mark each.
• Questions 8 to 12 carry 3 mark each.
• Questions 13 to 17 carry 4 mark each.

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1. Rohit has 8 blue balls, 5 red balls and 12 yellow balls. What is the ratio of blue and yellow balls?

2. Name the side, vertices ad diagonals of given figure.

3. How many right angles do you make if you start facing south and turns clockwise to east.

4. Construct a line segment having length of 2a

5. Write the number of sides and angles of below figures

6. Draw the mirror image of the given letter

7. Find the perimeter of the rectangle with l= 3.m-6m B= 2.6m

8. Draw a line segment XY of any length. Now,without measuring it , draw a copy of XY

9. Given RS = 2.3 draw AB such that the length of XY is thrice of RS verify by measurement.

10. Find the perimeter of a regular octagon with sides 12.8 cm.

11. Find the No of faces, No of corners, No of edges of a cuboid

12. Measure each of the marked angle with the help of protractor

13. Prove that a square is a rhombus with all its angles at right angles.

14. Draw a rough sketch of a pentagon and draw all it diagonals. How many diagonals can you draw

15. Draw a circle of radius 5.4 cm mark points A at 5cm, B at 5.4 cm and c at 6cm away from the center of the circle, name the points that are inside, outside and on boundary of the circle

16. Find the area of the given figure by splitting them into rectangles and squares.

17. The bar graph given below shows the number of hours that Amar worked per week in a month

• a) In which week did Amar work for maximum number of hours?
• b) How much did Amar work in week 3?
• c) How many more hours did Amar work in week 1 as compared to week4 ?
• d) Find the total number of hours worked by Amar in a month?
•