8th Math Monthly Quiz Challenge

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

2. If 35² = 1225, what is 36²?

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

4. Which rule describes nᵃ ÷ nᵇ?

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

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

7. What is the cube root of 27?

8. Simplify (2³)⁴ in exponential form.

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

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

11. What is 2³?

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

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

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

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

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

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

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

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

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

21. What is the value of 2³?

22. What is 0.001 written in scientific notation?

23. Represent 372 in Roman numerals.

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

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

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

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

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

29. What is 10⁻³ equal to?

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

31. What is the square root of 324?

32. What is (–4)³?

33. Egyptian numerals used which base?

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

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

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

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

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

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

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

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

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

43. What is the value of 7²?

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

45. Express 32400 as product of prime powers.

46. What is the cube root of 3375?

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

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

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

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