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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 664 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 58, 38, 56, 43, 35 and 64? (a) 48 (b) 49 (c) 51 (d) 50
  2. 2.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 69 (b) 61 (c) 125 (d) 72
  3. 3.What is the average of all the whole numbers from 11 to 41? (a) 30 (b) 27 (c) 15 (d) 26
  4. 4.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 100 (c) 58 (d) 51
  5. 5.What is the average of 51, 62, 61 and 18? (a) 49 (b) 48 (c) 47 (d) 64
  6. 6.What is the average of 38, 28, 27, 31, 23 and 75? (a) 39 (b) 36 (c) 38 (d) 37
  7. 7.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 47 (c) 15 (d) 56
  8. 8.What is the average of 9, 11, 9, 22 and 69? (a) 23 (b) 30 (c) 24 (d) 25
  9. 9.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 33 (c) 28 (d) 29
  10. 10.What is the average of 46, 27, 44, 16, 30 and 23? (a) 30 (b) 32 (c) 33 (d) 31
  11. 11.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 38 (b) 30 (c) 13 (d) 21
  12. 12.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 75 (b) 19 (c) 36 (d) 18
  13. 13.What is the average of all the whole numbers from 31 to 65? (a) 34 (b) 49 (c) 17 (d) 48
  14. 14.What is the average of all the whole numbers from 22 to 56? (a) 39 (b) 34 (c) 17 (d) 40
  15. 15.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 57 (c) 10 (d) 63
  16. 16.What is the average of 41, 40, 24 and 23? (a) 34 (b) 32 (c) 33 (d) 31
  17. 17.What is the average of 62, 64, 66, 52, 58 and 40? (a) 58 (b) 57 (c) 56 (d) 59
  18. 18.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 26 (c) 8 (d) 19
  19. 19.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 63 (c) 24 (d) 75
  20. 20.What is the average of all the whole numbers from 50 to 64? (a) 7 (b) 14 (c) 58 (d) 57
  21. 21.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 81 (b) 45 (c) 48 (d) 39
  22. 22.What is the average of 65, 89, 89, 76, 71 and 72? (a) 78 (b) 77 (c) 79 (d) 76
  23. 23.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 43 (c) 42 (d) 16
  24. 24.What is the average of all the whole numbers from 31 to 45? (a) 7 (b) 14 (c) 39 (d) 38
  25. 25.What is the average of all the whole numbers from 20 to 52? (a) 32 (b) 37 (c) 16 (d) 36
  26. 26.What is the average of 60, 37, 48, 61 and 49? (a) 53 (b) 50 (c) 52 (d) 51
  27. 27.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 36 (d) 10
  28. 28.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 55 (c) 71 (d) 20
  29. 29.What is the average of all the whole numbers from 26 to 58? (a) 42 (b) 32 (c) 16 (d) 43
  30. 30.What is the average of all the whole numbers from 32 to 50? (a) 9 (b) 18 (c) 41 (d) 42
  31. 31.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 91 (c) 61 (d) 35
  32. 32.What is the average of 21, 33, 35, 6, 23 and 2? (a) 21 (b) 24 (c) 19 (d) 20
  33. 33.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 91 (b) 60 (c) 43 (d) 37
  34. 34.What is the average of all the whole numbers from 26 to 32? (a) 3 (b) 6 (c) 29 (d) 30
  35. 35.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 40 (c) 47 (d) 41
  36. 36.What is the average of 66, 66, 76 and 76? (a) 73 (b) 71 (c) 70 (d) 72
  37. 37.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 41 (b) 79 (c) 15 (d) 53
  38. 38.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 10 (b) 43 (c) 84 (d) 51
  39. 39.What is the average of 47, 49, 30, 21, 25 and 32? (a) 35 (b) 34 (c) 33 (d) 36
  40. 40.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 62 (c) 8 (d) 64

Answer key

  1. 49
  2. 125
  3. 26
  4. 100
  5. 48
  6. 37
  7. 56
  8. 24
  9. 53
  10. 31
  11. 38
  12. 18
  13. 48
  14. 39
  15. 63
  16. 32
  17. 57
  18. 26
  19. 75
  20. 57
  21. 81
  22. 77
  23. 42
  24. 38
  25. 36
  26. 51
  27. 36
  28. 71
  29. 42
  30. 41
  31. 91
  32. 20
  33. 91
  34. 29
  35. 40
  36. 71
  37. 53
  38. 51
  39. 34
  40. 68

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