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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 657 · 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 62, 55, 77 and 86? (a) 70 (b) 72 (c) 71 (d) 69
  2. 2.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 53 (c) 21 (d) 26
  3. 3.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 82 (c) 56 (d) 34
  4. 4.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 10 (c) 59 (d) 61
  5. 5.What is the average of 50, 50, 43 and 81? (a) 55 (b) 57 (c) 58 (d) 56
  6. 6.What is the average of all the whole numbers from 33 to 73? (a) 40 (b) 54 (c) 53 (d) 20
  7. 7.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 32 (b) 81 (c) 57 (d) 53
  8. 8.What is the average of 33, 28, 27, 23 and 34? (a) 31 (b) 29 (c) 30 (d) 28
  9. 9.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 58 (d) 34
  10. 10.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 12 (b) 52 (c) 44 (d) 42
  11. 11.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 38 (b) 52 (c) 31 (d) 28
  12. 12.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 37 (c) 12 (d) 38
  13. 13.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 61 (c) 60 (d) 14
  14. 14.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 32 (b) 79 (c) 55 (d) 63
  15. 15.What is the average of 70, 49, 62, 57, 47 and 57? (a) 59 (b) 56 (c) 57 (d) 58
  16. 16.What is the average of 68, 77, 56, 70 and 49? (a) 80 (b) 65 (c) 63 (d) 64
  17. 17.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 42 (c) 85 (d) 40
  18. 18.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 16 (c) 55 (d) 43
  19. 19.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 45 (c) 34 (d) 69
  20. 20.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 61 (b) 32 (c) 45 (d) 37
  21. 21.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 15 (b) 38 (c) 35 (d) 47
  22. 22.What is the average of 57, 85, 85, 60, 75 and 58? (a) 70 (b) 71 (c) 84 (d) 69
  23. 23.What is the average of 80, 84, 65, 72, 89 and 66? (a) 78 (b) 77 (c) 75 (d) 76
  24. 24.What is the average of all the whole numbers from 41 to 55? (a) 14 (b) 48 (c) 7 (d) 49
  25. 25.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 24 (b) 49 (c) 52 (d) 70
  26. 26.What is the average of 84, 67, 85, 66, 86 and 56? (a) 76 (b) 74 (c) 73 (d) 75
  27. 27.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 20 (b) 32 (c) 28 (d) 16
  28. 28.What is the average of all the whole numbers from 46 to 64? (a) 56 (b) 55 (c) 9 (d) 18
  29. 29.What is the average of all the whole numbers from 9 to 31? (a) 22 (b) 11 (c) 21 (d) 20
  30. 30.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 42 (c) 36 (d) 70
  31. 31.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 94 (b) 62 (c) 16 (d) 48
  32. 32.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 69 (c) 6 (d) 35
  33. 33.What is the average of 36, 45, 35 and 36? (a) 38 (b) 39 (c) 37 (d) 40
  34. 34.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 58 (c) 35 (d) 79
  35. 35.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 69 (c) 30 (d) 89
  36. 36.What is the average of 59, 63, 49, 61, 77 and 69? (a) 62 (b) 65 (c) 64 (d) 63
  37. 37.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 22 (c) 10 (d) 30
  38. 38.What is the average of all the whole numbers from 29 to 47? (a) 9 (b) 18 (c) 39 (d) 38
  39. 39.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 59 (c) 83 (d) 20
  40. 40.What is the average of 58, 53, 62 and 75? (a) 61 (b) 62 (c) 63 (d) 64

Answer key

  1. 70
  2. 21
  3. 82
  4. 67
  5. 56
  6. 53
  7. 81
  8. 29
  9. 58
  10. 52
  11. 52
  12. 37
  13. 60
  14. 79
  15. 57
  16. 64
  17. 39
  18. 55
  19. 69
  20. 61
  21. 47
  22. 70
  23. 76
  24. 48
  25. 70
  26. 74
  27. 32
  28. 55
  29. 20
  30. 70
  31. 62
  32. 40
  33. 38
  34. 79
  35. 89
  36. 63
  37. 30
  38. 38
  39. 59
  40. 62

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