MATHEMATICS

CLASS – VIII
Term – 1
M.M. 80
SECTION – 1
(Attempt all questions from this section)
Q1. Select the correct options for the following questions:
1. If the sum of two rational numbers is -3/7, then the other is
a. 7/3
b. 3/7
c. -7/3
d. -3/7
2
2. 0 ÷ is equal to
3
a. 2/3
b. 3/2
c. 0
d. Not defined
3. The multiplicative identity of rational numbers is
a. 0
b. 1
c. -1
d. None of these
4. The value of 70 + 50 is
a. 0
b. 2
c. 12
d. 35
5. (-4)-2 is equal to
a. 16
b. 1/16
c. -16
d. -1/16

( )
−4
−1
6. Statement 1- The value of is 16
2
−m 1
Statement 2- a = m where a is any non-zero integer and m is positive integer
a
a. Statement 1 is true but statement 2 is false
b. Statement 1 is false but statement 2 is true
c. Both statements are true
d. Both statements are false
7. √ 0.0016 = ???
a. 0.04
b. 0.004
c. 0.4
d. 0.0004
8. How many natural numbers lie between 252 and 262?
 a. 49
b. 50
c. 51
d. 52
9. 1+3+5+7+……… up to N terms is equal to??
a. N2-1
b. (N+1)2
c. N2+1
d. N2
10. Cube of a negative number is
a. Negative
b. Positive
c. Negative or positive
d. None of these
11. The unit digit of cube of 476 is??
a. 4
b. 6
c. 8
d. 2
12. Cube of (-8) is
a. -512
b. 512
c. -64
d. 64
13. A rhombus has _________ lines of symmetry
a. 2
b. 4
c. 0
d. 1
14. A regular polygon of N sides has ________ number of lines of symmetry
a. N
b. 2N
c. N+1
d. N-1
15. A regular hexagon has _____ lines of symmetry
a. 6
b. 4
c. 2
d. 1
Q2.
1. Mr. Aman’s salary id Rs. 64000. He spends 1/4 salary on food. Out of the remaining he
spends 3/10 on house rent and 5/24 on education of children. Find how much money is still
left with him. [4]
2. Simplify and write in exponential form: [4]

() ( )
−1 −1
2 1
3 ×3 ÷ 3 + ( 2 ×3 ) +
−5 2 −6 2 2 −1
+2 +
3 19

3. Find the greatest number of six digits which is a perfect square. [4]
Q3.
 −3 5
1. Insert six rational numbers between and [4]
2 3
2. Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the
cube root of the quotient. [4]
3. Find the square root of the given fraction correct to 2 decimal places. [5]
2
20
3

SECTION – 2
(Attempt any 4 questions from this section)
Q4.

1. Using distributive property find: { ( )} {

7 −3
5
×
12
7 5
+ ×
5 12
[3] }
2. Find the least number which must be subtracted from 2000 to make a perfect square. Also
find the square root of the perfect square so obtained. [3]
3. Find the volume of a cubical box whose surface area is 486cm2. [4]
Q5.
1. By what rational number should -3 be divided to get -9/13. [3]
2. Write a Pythagorean triplet whose one number is 63. [3]
3. Draw the lines of symmetry of: [4]
a. Isosceles triangle
b. Parallelogram
c. Square
d. Semi-circle
Q6.
1. Sum of two rational numbers is 3/5. If one of them -2/7, find the other. [3]
2. Find the value of: ( 2−1 × 4−1) ÷ 2−2 [3]
3. Find the smallest square number which is divisible by each of the numbers 6,9 and 15. [4]
Q7.

( ) ()
−3 2
3 2
1. By what number should be divided to get [3]
−2 3
2. Express 292 as the sum of two consecutive integers. [3]
3. How many lines of symmetry do the following figures have? [4]
a. Circle
b. Regular pentagon
c. Scalene triangle
d. Rhombus
Q8.

1. Determine ( 8x )x if 9 x+2 =240+ 9 x [3]

2 1 5 2
2. Arrange the following rational numbers in ascending order: - , , - , [3]
3 -4 7 11
n 5 3
(9 ×3 × ( 27 ) )
3. If 4
=27, find n. [4]
3× ( 81 )
Q9.
1. Find the cube root of 9.261 [3]
2. Evaluate:
√
3 −125

343
[3]

( ) [4]
0
3 2 2 −5 −8 −2
3. Simplify and write in exponential form: 2 ×3 + (−11 ) +2 ÷ 2 −
5

Q10.
1. Three numbers are in the ratio 3:4:5. If their product is 480, find the numbers. [3]
2. Construct a rectangle ABCD such that AB= 4.5 cm and BC = 3 cm. Draw it’s line(s) of
symmetry. [3]
3. A student was asked to multiply a given number by 4/5. By mistake, he divided the given
number by 4/5. His answer was 36 more than the correct answer. What was the given
number? [4]