HALF-YEARLYEXAMINATION

Subject- Maths
Time- 2:30 Hours Class-8th MM-80
Name: ______________ Date : ______________
Note: All the questions are compulsory
Section – A 20
1. Wrote the addive inverse of
−3 4
a. b.
−7 −5
2. Simplify using properties
2 1 2 2 6 49 7 1 6 1
a. 5 ×− 12 + 5 × 3 b. × − × + ×
7 48 3 49 7 18
3. Write ten rational numbers greater than −3

( ) ( )
3 −3
−4 −6
4. Evaluate (a) (b)
11 7

() () ()
−1 −2 −3
1 1 1
5. Simplify (a) + + (b) ( 3−1+ 6−1 ) ÷3 3
2 3 4
6. Write in the expanded form using exponents
(a) 0.0129 (b) 642.83
7. Express the following as the sum of consecutive odd numbers
(a) 102 (b) 182
8. Find Pythagorean triplet whose greatest number is 7
9. Find the square (a) 76 (b) 103
10.Find the cubes of the following (a) (−110) (b) 0.9
11.Find the value of (a) 11 −10
3 3 3
(b) 25 −24 3

12.Write in expanded form (a) 205 (b) 460

3 B 6 A 6 B
13.(a) + A 2 6 (b) +5 C 3
___________ ___________
___________ ___________
14.Write the degree of the following
(a) −7 x 3+ 4 x 2−3 x +9 (b) 2 x 4−4 x+ 1
15.Write the like terms
(a) 3 xy ,−4 y 2 , 4 c ,−7 yx , 6 y 2 , 3 ab , 2 a
(b) 9 xyz ,−3 xyz ,−4 xy ,3 x y 2 ,−7 y 2 x ,19 yz
16.Add (a) 3−4 abc+2 b2 c ,5 abc , 2 abc−2b 2 c+11
17.Find the product (a) 4 ab ,−6 a2 b (b) 3 a2 b ,−9 a b2
18.Find the highest common factor of the followings
(a) 15 p2 q2 (b) 36 a 2 bc , 48 a b2 c
19.Factories the following expression
(a) 5 a−30
3
(b) × (
5 11 4
8 1
− )
 5 x−2 2x 8
20.Solve the following (a) 2
=9 (b) =
5 7
Section - B
21.Use the distributive property to calculate the following
(a) × +( )
2 4 2
3 9 9 (3
(b) ×
5 11 4 )8 1
−

22.Find the rational number between

1 2
∧5 ∧3
(a) 2 (b) 3
6 4
−2 3
4 ×5 3 ×2−5 ×53
−5
23.Simplify (a) −6 (b)
2 5−1 ×6−5
24.Find the square root of each of the following number by prime factorization
(a) 1156, (b) 4761
A B 2 A 6 A B
25.(a) × 9 (b) −C 2 B (c) × 3
A3 B C 1 2 2B B
26.If 378y8 is a multiple of 3 where y is a digit then find the value/value of y
27.Subtract
(a) 4ab- 3bc from ab-bc
(b) 2 x2 yz−7 x y 2 z +13 xy z 2−6 from 4 xy z 2 + xyz−6 x 2 yz+ 9 x y 2 z
28.Find the product
( 1
) 3
(a) a+ ( a−b )
2 5 ( ) 1 2 2
(b) ( 4 x −7 xy ) x − xy
2
8 7
29.Using identities find the products
(a) ( 2 a+7 b )2 ( 3
)
(b) x + y
7
5 2
4
30.Simplify
(a) 6 ( 4 x−8 y ) ÷ 3 ( x−2 y ) (b) 39 a ( 8 a+14 b ) ÷13 ( 4 a+7 b )
31.Solve the equation
2 x−3 3 x +1
(a) =
2 x+1 3 x−1
Section - C
32.Simplify
2x
(a) (b) 0.5 ( 2 y+ 9 )=0.3(4 y−6)
7
33.Using the method of long division. Find the question
(a) ( x 3 +6 x 2−x−18 ) ÷ ( x+2 ) (b)( 11−17 x 2 +6 x 3−2 ) ÷ ( 2 x−1 )
34.Find the value using suitable identities
(a)( 48 )2 (b) ( 396 × 404 ) (c) ( 102× 98 )
35.Find the smallest number by which each of the following numbers must be dived to obtain a perfect
square.
(a) 7875 (b) 6517
36.Find the smallest square number which is divisible by each of the numbers 9.15 and 20
37.Solve for it
1
(b) ( 3 ×3 ) ÷ 9 =
6 5x 2x
(a) 22 x ×22 x +9=( 43 )
27
38.The value of the expression
(a) 3 xy [ x 2−xy + y 2 ] at x=1 , y=−1
 Section-D
39.Find the smallest square number which is divisible by each of the numbers 9,15, and 20.
40.Using the digits 2,5,6 and 0 only once (for each number) write down 10 four- digit numbers which
are exactly divisible by 5
41.The area of rectangle is length × breadth. If the length is ( x +3 ) units and breadth is ( y−3 ) units the
area is
42.Factories the following
(i) 4 p 2−12 pq+ 9 q2−64 (ii) ( 4 b−3 c )2 −( 3 b+2 c )2
43.Subtract the sum of 4 a−2b +c−9 and −3 b+ 4 c from the sum 6 b−6 c +12 and a−b+ c−4
44.Solve for x
6
(a) 22 x ×2 x+9=( 43 ) (b) 52 x +57 =53