Mathematics Objective Questions and Answers: All Chapters
Review structured MCQ sets for Class 8 Mathematics All Chapters. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.
Download All Chapters MCQs with Answers
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MCQs 1-9: Rational Numbers
1. The rational number -2/-19 is
(a) a positive rational number (b) neither positive nor negative (c) a negative rational number (d) none of these
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Answer: (a) a positive rational number
Teacher's Note: Use the key term in your answer.
2. A rational number -11/7 lies between
(a) 0 and 1 (b) 0 and -1 (c) -1 and -2 (d) -2 and -3
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Answer: (c) -1 and -2
Teacher's Note: Give an example if the question allows.
3. The multiplicative inverse of 0 is
(a) 0 (b) 1/0 (c) 1 (d) does not exist
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Answer: (d) does not exist
Teacher's Note: Write a short, clear answer.
4. 0 is the identity element for
(a) addition (b) subtraction (c) multiplication (d) division
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Answer: (a) addition
Teacher's Note: Remember this for your exam.
5. The sum of the additive inverse and the multiplicative inverse of 3 is
(a) -8/3 (b) 8/3 (c) 1/3 (d) -1
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Answer: (a) -8/3
Teacher's Note: Additive inverse -3 plus multiplicative inverse 1/3 = -8/3.
6. By what rational number should -2/3 be multiplied to get -8/4 as the product?
(a) -4 (b) 3 (c) 4 (d) -3
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Answer: (b) 3
Teacher's Note: Use the key term in your answer.
7. Which statement is true?
(a) 1 and -1 are reciprocals of themselves (b) 0 has no reciprocal (c) the product of 2 rational numbers is a rational number (d) all of these
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Answer: (d) all of these
Teacher's Note: Give an example if the question allows.
8. The rational number -2/3
(a) lies to the left of 0 on the number line (b) lies to the right of 0 (c) cannot be represented on the number line (d) none of these
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Answer: (a) lies to the left of 0 on the number line
Teacher's Note: Write a short, clear answer.
MCQs 10-14: Exponents and Powers
9. 2^3 + 2^3 + 2^3 + 2^3 equals
(a) 2^5 (b) 2^12 (c) 2^81 (d) 2^16
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Answer: (a) 2^5
Teacher's Note: Four times 8 is 32, which is 2^5.
(-8)^5 + (-8)^5 equals
(a) -2(8)^5 (b) -(2)^16 (c) -(4)^8 (d) all of these
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Answer: (d) all of these
Teacher's Note: Learn this point and write it in your own words.
11. The value of (a^-2 x b^-3) / (a^-3 x b^-4) is
(a) a^-1 x b (b) a x b^-1 (c) (ab)^-1 (d) ab
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Answer: (d) ab
Teacher's Note: Use the key term in your answer.
7.7 x 10^-6 is equal to
(a) 0.00000077 (b) 0.0000077 (c) 0.000077 (d) 0.00077
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Answer: (b) 0.0000077
Teacher's Note: Give an example if the question allows.
13. The value of a^b - b^a if a = 3, b = 7 is
(a) 1825 (b) 1840 (c) 1844 (d) 1850
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Answer: (c) 1844
Teacher's Note: 3^7 - 7^3 = 2187 - 343 = 1844.
MCQs 15-28: Squares and Square Roots
14. The square of 2.1 is
(a) 44.1 (b) 4.41 (c) 0.441 (d) 441
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Answer: (b) 4.41
Teacher's Note: Remember this for your exam.
15. The least perfect square divisible by 3, 4, 5, 6 and 8 is
(a) 900 (b) 1200 (c) 2500 (d) 3600
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Answer: (d) 3600
Teacher's Note: The LCM is 120 = 2^3 x 3 x 5, so the least perfect square multiple is 2^4 x 3^2 x 5^2 = 3600.
16. The least number to be added to 196201 to make it a perfect square is
(a) 42 (b) 48 (c) 50 (d) 44
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Answer: (b) 48
Teacher's Note: 443 squared is 196249.
17. The number to be subtracted from 16161 to get a perfect square is
(a) 32 (b) 33 (c) 34 (d) 31
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Answer: (a) 32
Teacher's Note: 127 squared is 16129.
18. Which is not a perfect square?
(a) 4356 (b) 1764 (c) 900 (d) 863
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Answer: (d) 863
Teacher's Note: Write a short, clear answer.
19. Which is the square of an even number?
(a) 441 (b) 2704 (c) 1369 (d) 5625
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Answer: (b) 2704
Teacher's Note: 2704 = 52 squared.
20. For every natural number n, the sum of the first n odd natural numbers is
(a) 2n (b) n^2 + 1 (c) n^2 - 1 (d) n^2
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Answer: (d) n^2
Teacher's Note: Learn this point and write it in your own words.
21. The number of non-perfect-square numbers between 91^2 and 92^2 is
(a) 182 (b) 91 (c) 92 (d) 184
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Answer: (a) 182
Teacher's Note: There are 2 x 91 = 182 such numbers.
22. The smallest number by which 288 must be divided to get a perfect square is
(a) 1 (b) 2 (c) 4 (d) 8
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Answer: (b) 2
Teacher's Note: 288 = 2^5 x 3^2.
23. The number of digits in the square root of 4937284 is
(a) 4 (b) 5 (c) 7 (d) 6
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Answer: (a) 4
Teacher's Note: The square root is 2222.
24. The least square number exactly divisible by 4, 8 and 12 is
(a) 144 (b) 64 (c) 196 (d) 400
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Answer: (a) 144
Teacher's Note: The LCM is 24, so the least square multiple is 144.
25. The unit digit of the cube of 15724 is
(a) 6 (b) 4 (c) 8 (d) 2
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Answer: (b) 4
Teacher's Note: Learn this point and write it in your own words.
26. The square root of 2 x 2 x 3 x 3 x 4 x 4 x 5 x 5 is
(a) 240 (b) 360 (c) 120 (d) 480
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Answer: (c) 120
Teacher's Note: Use the key term in your answer.
27. If the square root of 15625 is 125, then the square root of 156.25 + the square root of 1.5625 is
(a) 13.75 (b) 1.375 (c) 0.1375 (d) 137.5
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Answer: (a) 13.75
Teacher's Note: 12.5 + 1.25 = 13.75.
28. The square root of 169 is
(a) 13 (b) 1.3 (c) -1.3 (d) none of these
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Answer: (a) 13
Teacher's Note: Write a short, clear answer.
29. The smallest number by which 12348 must be divided to obtain a perfect square is
(a) 3 (b) 5 (c) 4 (d) 7
Show answer
Answer: (d) 7
Teacher's Note: 12348 = 2^2 x 3^2 x 7^3.
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FAQs
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