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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 454 · 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 all the whole numbers from 37 to 67? (a) 52 (b) 53 (c) 15 (d) 30
  2. 2.What is the average of 68, 53, 53 and 78? (a) 62 (b) 64 (c) 63 (d) 84
  3. 3.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 91 (b) 48 (c) 51 (d) 59
  4. 4.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 62 (b) 14 (c) 98 (d) 50
  5. 5.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 74 (b) 48 (c) 42 (d) 34
  6. 6.What is the average of 17, 14, 36, 38 and 15? (a) 23 (b) 30 (c) 24 (d) 25
  7. 7.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 9 (b) 8 (c) 28 (d) 61
  8. 8.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 84 (c) 60 (d) 57
  9. 9.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 36? (a) 57 (b) 39 (c) 36 (d) 24
  10. 10.What is the average of 42, 43, 33 and 26? (a) 37 (b) 48 (c) 35 (d) 36
  11. 11.What is the average of 23, 23, 19, 15 and 70? (a) 31 (b) 32 (c) 29 (d) 30
  12. 12.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 67 (b) 54 (c) 61 (d) 109
  13. 13.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 40 (b) 60 (c) 92 (d) 68
  14. 14.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 49 (c) 47 (d) 10
  15. 15.What is the average of all the whole numbers from 6 to 36? (a) 21 (b) 30 (c) 15 (d) 22
  16. 16.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 57 (c) 61 (d) 28
  17. 17.What is the average of 23, 26, 46, 25 and 50? (a) 36 (b) 35 (c) 33 (d) 34
  18. 18.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 70 (b) 61 (c) 12 (d) 64
  19. 19.What is the average of 50, 65, 46 and 43? (a) 50 (b) 68 (c) 52 (d) 51
  20. 20.What is the average of 30, 34, 8 and 12? (a) 22 (b) 28 (c) 20 (d) 21
  21. 21.What is the average of all the whole numbers from 26 to 50? (a) 12 (b) 39 (c) 24 (d) 38
  22. 22.What is the average of 73, 62, 65 and 76? (a) 70 (b) 92 (c) 69 (d) 68
  23. 23.What is the average of all the whole numbers from 54 to 62? (a) 8 (b) 4 (c) 59 (d) 58
  24. 24.What is the average of 38, 44, 55 and 35? (a) 43 (b) 44 (c) 42 (d) 45
  25. 25.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 97 (b) 40 (c) 65 (d) 61
  26. 26.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 13 (b) 41 (c) 20 (d) 14
  27. 27.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 19 (c) 17 (d) 18
  28. 28.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 1 (b) 16 (c) 35 (d) 2
  29. 29.What is the average of 53, 39, 29 and 35? (a) 52 (b) 38 (c) 40 (d) 39
  30. 30.What is the average of all the whole numbers from 8 to 30? (a) 19 (b) 22 (c) 11 (d) 20
  31. 31.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 29 (c) 10 (d) 37
  32. 32.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 20 (c) 35 (d) 51
  33. 33.What is the average of 53, 40, 38 and 57? (a) 46 (b) 47 (c) 49 (d) 48
  34. 34.What is the average of all the whole numbers from 58 to 82? (a) 12 (b) 71 (c) 24 (d) 70
  35. 35.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 33 (b) 20 (c) 30 (d) 17
  36. 36.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 73 (c) 59 (d) 18
  37. 37.What is the average of all the whole numbers from 54 to 82? (a) 69 (b) 14 (c) 68 (d) 28
  38. 38.What is the average of 48, 23, 47 and 18? (a) 35 (b) 36 (c) 33 (d) 34
  39. 39.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 6 (b) 31 (c) 36 (d) 61
  40. 40.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 30 (c) 85 (d) 41

Answer key

  1. 52
  2. 63
  3. 91
  4. 62
  5. 74
  6. 24
  7. 8
  8. 84
  9. 57
  10. 36
  11. 30
  12. 109
  13. 92
  14. 55
  15. 21
  16. 81
  17. 34
  18. 70
  19. 51
  20. 21
  21. 38
  22. 69
  23. 58
  24. 43
  25. 97
  26. 13
  27. 18
  28. 1
  29. 39
  30. 19
  31. 37
  32. 51
  33. 47
  34. 70
  35. 33
  36. 73
  37. 68
  38. 34
  39. 36
  40. 29

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