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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 414 · 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.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 27 (b) 32 (c) 35 (d) 56
  2. 2.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 72 (c) 56 (d) 120
  3. 3.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 25 (c) 10 (d) 5
  4. 4.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 20 (c) 37 (d) 21
  5. 5.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 112 (c) 64 (d) 113
  6. 6.What is the average of 63, 54, 70, 47, 63 and 63? (a) 60 (b) 61 (c) 72 (d) 59
  7. 7.What is the average of all the whole numbers from 44 to 58? (a) 7 (b) 52 (c) 51 (d) 14
  8. 8.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 26 (c) 13 (d) 28
  9. 9.What is the average of 68, 57, 42 and 45? (a) 54 (b) 53 (c) 55 (d) 52
  10. 10.What is the average of 72, 77, 76, 84, 65 and 40? (a) 70 (b) 71 (c) 69 (d) 68
  11. 11.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 73 (c) 4 (d) 5
  12. 12.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 53 (b) 47 (c) 7 (d) 93
  13. 13.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 8 (b) 51 (c) 45 (d) 47
  14. 14.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 50 (c) 6 (d) 45
  15. 15.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 67 (b) 30 (c) 40 (d) 43
  16. 16.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 12 (c) 34 (d) 25
  17. 17.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 8 (b) 49 (c) 32 (d) 25
  18. 18.What is the average of 70, 64, 81 and 77? (a) 72 (b) 74 (c) 73 (d) 75
  19. 19.What is the average of 17, 40, 32, 40 and 16? (a) 28 (b) 31 (c) 29 (d) 30
  20. 20.What is the average of all the whole numbers from 43 to 73? (a) 15 (b) 58 (c) 30 (d) 59
  21. 21.What is the average of 71, 46, 67 and 40? (a) 57 (b) 56 (c) 55 (d) 58
  22. 22.What is the average of 24, 27, 43, 42 and 59? (a) 39 (b) 40 (c) 41 (d) 38
  23. 23.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 64 (c) 30 (d) 84
  24. 24.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 21 (d) 51
  25. 25.What is the average of 28, 31, 29 and 36? (a) 33 (b) 30 (c) 31 (d) 32
  26. 26.What is the average of 71, 89, 87, 90 and 53? (a) 78 (b) 77 (c) 80 (d) 79
  27. 27.What is the average of all the whole numbers from 47 to 79? (a) 16 (b) 63 (c) 32 (d) 64
  28. 28.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 28 (c) 29 (d) 49
  29. 29.What is the average of all the whole numbers from 32 to 72? (a) 20 (b) 53 (c) 52 (d) 40
  30. 30.What is the average of 75, 55, 66, 73, 76 and 27? (a) 62 (b) 63 (c) 61 (d) 64
  31. 31.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 51 (c) 36 (d) 20
  32. 32.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 25 (c) 70 (d) 34
  33. 33.What is the average of 81, 86, 87, 63, 65 and 56? (a) 75 (b) 72 (c) 74 (d) 73
  34. 34.What is the average of all the whole numbers from 37 to 53? (a) 16 (b) 46 (c) 8 (d) 45
  35. 35.What is the average of 32, 35, 17, 26 and 35? (a) 30 (b) 31 (c) 29 (d) 28
  36. 36.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 33? (a) 10 (b) 41 (c) 33 (d) 35
  37. 37.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 80 (b) 39 (c) 31 (d) 32
  38. 38.What is the average of 19, 7, 16 and 38? (a) 21 (b) 20 (c) 22 (d) 19
  39. 39.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 12 (c) 37 (d) 47
  40. 40.What is the average of all the whole numbers from 58 to 64? (a) 3 (b) 62 (c) 6 (d) 61

Answer key

  1. 56
  2. 120
  3. 25
  4. 36
  5. 112
  6. 60
  7. 51
  8. 28
  9. 53
  10. 69
  11. 4
  12. 53
  13. 51
  14. 50
  15. 67
  16. 34
  17. 32
  18. 73
  19. 29
  20. 58
  21. 56
  22. 39
  23. 84
  24. 51
  25. 31
  26. 78
  27. 63
  28. 49
  29. 52
  30. 62
  31. 51
  32. 24
  33. 73
  34. 45
  35. 29
  36. 41
  37. 31
  38. 20
  39. 47
  40. 61

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