8th Math Monthly Quiz Challenge

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

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

3. What is the cube root of 3375?

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

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

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

7. Which rule describes nᵃ ÷ nᵇ?

8. What is 10⁻³ equal to?

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

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

11. Egyptian numerals used which base?

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

13. Simplify (2³)⁴ in exponential form.

14. If 35² = 1225, what is 36²?

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

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

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

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

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

20. What is the value of 7²?

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

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

23. What is 0.001 written in scientific notation?

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

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

26. What is the cube root of 27?

27. What is the value of 2³?

28. Represent 372 in Roman numerals.

29. Express 32400 as product of prime powers.

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

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

32. What is 2³?

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

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

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

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

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

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

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

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

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

44. What is the square root of 324?

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

46. What is (–4)³?

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

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

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

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