8th Math Monthly Quiz Challenge

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

2. What is 10⁻³ equal to?

3. What is (–4)³?

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

5. What is 0.001 written in scientific notation?

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

7. Represent 372 in Roman numerals.

8. What is the value of 7²?

9. What is 2³?

10. Express 32400 as product of prime powers.

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

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

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

14. If 35² = 1225, what is 36²?

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

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

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

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

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

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

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

22. What is the square root of 324?

23. Which rule describes nᵃ ÷ nᵇ?

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

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

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

27. Egyptian numerals used which base?

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

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

30. What is the cube root of 27?

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

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

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

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

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

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

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

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

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

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

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

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

43. What is the value of 2³?

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

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

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

47. What is the cube root of 3375?

48. Simplify (2³)⁴ in exponential form.

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

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