### Class 6 Mathematics Sample Paper

Annual Examination

Class-VI

Sub- Mathematics

Time: 2:30 hour/M.M.-80

All questions are compulsory.

Instructions:

Q.1 to 8→ 1 mark, Q.9 to 16→2 marks, Q.17 to 24→ 3 marks and Q.25 to 32→4 marks

1- If a = 2 and b = 3, find the value of a + b

2- Add → 3x, 7x

3- Find 24 to 56 in the simplest form.

4- Name two examples of angles from your daily life.

5- Define the terms → Data.

6- Find the perimeter of a triangle of sides 7.8cm, 6.5cm, and 5.9cm.

7- Write the coefficient of x in 3 x.

8- Write the Numerical coefficient of – 6bc

9- Write the following in the exponential form-

i) b× b × b× __________ 15 times.

ii) y ×y × y× __________ 20 times.

10- Solve:- x + 3 = – 2

11- How many degrees are there in-

i) One right angle?

ii) Two right angle?

12- Name each of the following parallelograms:-

i) The diagonals are equal and the adjacent sides are unequal.

ii) The diagonals are equal and the adjacent sides are equal.

13- Draw a circle with centre C and radius 4.5 cm. Mark points P, Q, R such that P lies in the interior of the circle, Q lies on the circle and R lies in the exterior of the circle.

14- Find the perimeter of a rectangle in which length = 16.8cm and breadth = 6.2cm.

15- Find the circumference of a circle whose radius is 28cm.

16- Find the area of a square plot of side H m.

17- If x=1, y=2 and z=5, Find the value of 3x – 2y+4z

18- Add→3a-2b +5c, 2a+5b – 7c, – a – b + c

19- Simplify 4x – (3y – x+2z)

20- Find the value of x in 55:11: : x : 6 proportions.

21- Draw a line segment AB=6 cm. Take a point C on AB such that AC=4cm. from C, Draw CD ↓

22- The number of children in 25 family of a colony is given below. 2,0,2,4,2,1,3,3,1,0,2,3,4,3,1,1,1,2,2,3,2,4,1,2,2 present the above data in the form of a frequency distribution table.

23- The number of stools in three rooms of a school are given below

Room number | I | II | III |

No. of stools | 30 | 40 | 60 |

Tacking the scale = 10 stools, draw the pictograph.

24- Subtract=5a+7b-2c from 3a-7b+4c.

25- Simplify 2p^{3} – 3p^{2} + 4p – 5 – 6p^{3} + 2p^{2} – 8p -2 + 6p + 8

26- Solve:- 3(x+2)-2(x-1)=7

27- Construct each of the following angles with the help of protractor

i) 25°

ii) 72°

28- Draw a parallelogram ABCD in which AB=6.5 cm, AD=4.8CM and LBAD=70° measure its diagonals.

29- A room is 12.5m long and 8m wide. A square carpet of side 8m is laid on its floor. Find the area of the floor which is not carpeted.

30- The sum of three consecutive natural numbers is 114. Find the number.

#### 31- Fill in the blanks:-

i) An object that occupies space is called a__________.

ii) The __________ face of a cuboid are identical.

iii) A __________ has no vertex and no edge.

iv) All the faces of a __________are identical.

#### 32- Write true or false:-

i) A parallelogram has no line of symmetry.

ii) A rhombus has four lines of symmetry.

iii) A square has four lines of symmetry.

iv) A rectangle has two lines of symmetry.