Squares and Pythagorean Triplets

Class 8 Math – Squares & Pythagorean Triplets

Class 8 Mathematics

Squares and Pythagorean Triplets – Multiple Choice Questions

Q.No. Question Options
1 Is (1, 2, 3) a Pythagorean triplet? a) Yes
b) No
c) Sometimes
d) Cannot determine
2 What is the sum of 1 + 3 + 5 + 7 + 9 without adding? a) 5²
b) 6²
c) 7²
d) 8²
3 Which of the following is not a perfect square? a) 144
b) 1234
c) 256
d) 400
4 Which of the following numbers has an even square? a) 11
b) 13
c) 15
d) 12
5 Which of the following is a Pythagorean triplet? a) (1, 2, 3)
b) (3, 4, 5)
c) (2, 3, 4)
d) (4, 5, 6)
6 What is the square of an odd number always? a) Even
b) Odd
c) Prime
d) Composite
7 What is the square of an even number always? a) Even
b) Odd
c) Prime
d) Composite
8 The square of which number is always less than the number itself? a) 1
b) 2
c) Fraction between 0 and 1
d) Negative number
9 What is the sum of 1 + 3 + 5 + 7? a) 4²
b) 5²
c) 6²
d) 7²
10 What is the sum of 1 + 3? a) 1²
b) 2²
c) 3²
d) 4²
11 What is the sum of 1 + 3 + 5? a) 2²
b) 3²
c) 4²
d) 5²
12 Which of these numbers is a perfect square? a) 111
b) 139422
c) 2000
d) 121
13 What is the Pythagorean triplet starting with 3? a) (3, 4, 5)
b) (3, 5, 7)
c) (3, 6, 9)
d) (3, 8, 10)
14 What is the Pythagorean triplet starting with 7? a) (7, 14, 21)
b) (7, 24, 25)
c) (7, 8, 9)
d) (7, 10, 12)
15 What is the Pythagorean triplet starting with 10? a) (10, 20, 30)
b) (10, 11, 12)
c) (10, 24, 26)
d) (10, 15, 20)
16 How can 81 be expressed as a sum of odd numbers? a) 1+3+5+…+17
b) 1+3+5+…+15
c) 1+3+5+…+19
d) 1+3+5+…+13
17 How can 121 be expressed as a sum of odd numbers? a) 1+3+5+…+19
b) 1+3+5+…+21
c) 1+3+5+…+23
d) 1+3+5+…+25
18 What is the square root of 256? a) 14
b) 16
c) 18
d) 20
19 What is the square of 25? a) 525
b) 625
c) 725
d) 825
20 Which of these is not a property of perfect squares? a) They end with even number of zeros
b) They end with 2, 3, 7, or 8
c) They end with 1, 4, 5, 6, or 9
d) Digital root is 1, 4, 7, or 9

Answer Key
1. b) No 2. a) 5² 3. b) 1234 4. d) 12
5. b) (3, 4, 5) 6. b) Odd 7. a) Even 8. c) Fraction between 0 and 1
9. a) 4² 10. b) 2² 11. b) 3² 12. d) 121
13. a) (3, 4, 5) 14. b) (7, 24, 25) 15. c) (10, 24, 26) 16. a) 1+3+5+…+17
17. b) 1+3+5+…+21 18. b) 16 19. b) 625 20. b) They end with 2, 3, 7, or 8

Practice these questions to master the concepts of squares and Pythagorean triplets!

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