8th Math Monthly Quiz Challenge

1. What is the square root of 324?

2. Which notation represents “n multiplied by itself a times”?

3. Represent 372 in Roman numerals.

4. What is the sum 91 + 93 + 95 + 97 + 99 + 101 + 103 + 105 + 107 + 109?

5. In scientific notation, 80,00,000 is written as:

6. Express 32400 as product of prime powers.

7. What is the value of the sum 1 + 3 + 5 + 7?

8. What is the cube of (-6)?

9. In the Mayan numeral system, what does the second level represent (just above units)?

10. Which quadrilateral has adjacent pairs of equal-length sides but no parallel opposite sides?

11. What is (–4)³?

12. If a population triples every day, starting 1, after 4 days it is 3⁴. How many after next 4 days?

13. Simplify (2³)⁴ in exponential form.

14. If a number has 3 zeros at the end, how many zeros will its square have?

15. What is the value of 2³?

16. What is 5⁴ × 5⁶ expressed as a single power?

17. If a square ends with 6 in the units place, what digits can the original number end with?

18. If the prime factorization of a number is 2² × 3² × 5², is it a perfect square?

19. How did Greeks later refer to the numeral system originating from India?

20. What was the primary drawback of early Mesopotamian place-value notation?

21. Which digit can never appear in the units place of a perfect square?

22. How many combinations for a 3-slot lock with digits 0–9?

23. What is the value of 7²?

24. How many zeros will 1000² have at the end?

25. Which expression gives the thickness after n folds of initial thickness v?

26. How many unit cubes make a cube of side 3 cm?

27. A quadrilateral with all sides equal and all angles 90° is called a

28. What is the cube root of 3375?

29. Which is smaller: 1.4335 × 10¹² m (Sun–Saturn) or 1.496 × 10¹¹ m (Sun–Earth)?

30. What is 2³?

31. What is 0.001 written in scientific notation?

32. Which rule describes nᵃ ÷ nᵇ?

33. What power of 5 is the landmark number used for the third place in a base-5 system?

34. Express 2,401 × 49 in exponential notation given 2,401=7⁴ and 49=7².

35. To find the square root of 1936, between which perfect squares should you first check?

36. In the Hindu system, what is the landmark number for the tens place?

37. What device did ancient Roman scholars use to perform calculations with their numerals?

38. Which early system used bars for 5 and dots for 1 in a place-value manner?

39. Egyptian numerals used which base?

40. Which civilisation used a shell-shaped symbol for zero?

41. What is 10⁻³ equal to?

42. A quadrilateral with exactly one pair of parallel sides is called a

43. How many flocks of 10,000 starlings can exist if global population is 1.3 × 10⁹?

44. What is the cube root of 27?

45. The thickness after 10 folds increases by what factor relative to the initial?

46. For a number to be a perfect cube using prime factorization, what condition must the exponents satisfy?

47. After folding a paper once, its thickness doubles from 0.001 cm to what value?

48. In one-to-one mapping, each object counted is associated with exactly how many counters?

49. Why was zero crucial in the evolution of place-value systems?

50. If 35² = 1225, what is 36²?