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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 712 · 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 75, 77, 56, 64 and 78? (a) 70 (b) 72 (c) 71 (d) 69
  2. 2.What is the average of 22, 45, 33, 29, 28 and 47? (a) 36 (b) 34 (c) 33 (d) 35
  3. 3.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 43 (c) 55 (d) 16
  4. 4.What is the average of 24, 28, 17, 16 and 60? (a) 31 (b) 30 (c) 29 (d) 28
  5. 5.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 64 (c) 16 (d) 76
  6. 6.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 15 (b) 40 (c) 28 (d) 31
  7. 7.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 10 (c) 50 (d) 48
  8. 8.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 22 (b) 36 (c) 77 (d) 21
  9. 9.What is the average of all the whole numbers from 40 to 48? (a) 8 (b) 45 (c) 4 (d) 44
  10. 10.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 49 (c) 89 (d) 54
  11. 11.What is the average of 50, 64, 69, 68 and 74? (a) 67 (b) 66 (c) 65 (d) 64
  12. 12.What is the average of 17, 24, 40, 13, 35 and 27? (a) 28 (b) 26 (c) 25 (d) 27
  13. 13.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 109 (b) 67 (c) 60 (d) 56
  14. 14.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 27 (c) 12 (d) 17
  15. 15.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 72 (b) 59 (c) 123 (d) 67
  16. 16.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 58? (a) 40 (b) 94 (c) 58 (d) 62
  17. 17.What is the average of 62, 73, 63 and 50? (a) 62 (b) 63 (c) 61 (d) 64
  18. 18.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 55? (a) 57 (b) 71 (c) 18 (d) 55
  19. 19.What is the average of 50, 58, 64, 57, 66 and 95? (a) 65 (b) 66 (c) 78 (d) 64
  20. 20.What is the average of all the whole numbers from 10 to 36? (a) 26 (b) 13 (c) 24 (d) 23
  21. 21.What is the average of 76, 55, 61 and 64? (a) 66 (b) 65 (c) 63 (d) 64
  22. 22.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 10 (c) 57 (d) 65
  23. 23.What is the average of 53, 38, 33 and 32? (a) 52 (b) 38 (c) 39 (d) 40
  24. 24.What is the average of all the whole numbers from 59 to 87? (a) 28 (b) 73 (c) 14 (d) 74
  25. 25.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 21 (b) 64 (c) 79 (d) 61
  26. 26.What is the average of 80, 68, 63, 74, 64 and 95? (a) 76 (b) 74 (c) 73 (d) 75
  27. 27.What is the average of all the whole numbers from 39 to 45? (a) 43 (b) 3 (c) 6 (d) 42
  28. 28.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 57 (c) 53 (d) 8
  29. 29.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 10 (b) 48 (c) 40 (d) 42
  30. 30.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 19 (c) 5 (d) 37
  31. 31.What is the average of 74, 61, 76, 76, 76 and 33? (a) 66 (b) 65 (c) 68 (d) 67
  32. 32.What is the average of 17, 20, 41, 31, 32 and 27? (a) 28 (b) 29 (c) 27 (d) 30
  33. 33.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 36 (c) 54 (d) 10
  34. 34.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 21 (c) 25 (d) 5
  35. 35.What is the average of 60, 65, 74 and 85? (a) 73 (b) 72 (c) 71 (d) 70
  36. 36.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 55 (c) 79 (d) 27
  37. 37.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 12 (d) 71
  38. 38.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 11 (c) 27 (d) 22
  39. 39.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
  40. 40.What is the average of all the whole numbers from 44 to 58? (a) 52 (b) 7 (c) 51 (d) 14

Answer key

  1. 70
  2. 34
  3. 55
  4. 29
  5. 76
  6. 40
  7. 56
  8. 21
  9. 44
  10. 89
  11. 65
  12. 26
  13. 109
  14. 27
  15. 123
  16. 94
  17. 62
  18. 71
  19. 65
  20. 23
  21. 64
  22. 65
  23. 39
  24. 73
  25. 79
  26. 74
  27. 42
  28. 57
  29. 48
  30. 23
  31. 66
  32. 28
  33. 36
  34. 25
  35. 71
  36. 79
  37. 71
  38. 27
  39. 36
  40. 51

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