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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 57 · 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 64, 61, 75, 66 and 89? (a) 72 (b) 70 (c) 71 (d) 73
  2. 2.What is the average of all the whole numbers from 11 to 23? (a) 17 (b) 6 (c) 18 (d) 12
  3. 3.What is the average of 24, 29, 43, 21 and 63? (a) 45 (b) 37 (c) 35 (d) 36
  4. 4.What is the average of all the whole numbers from 26 to 62? (a) 36 (b) 44 (c) 45 (d) 18
  5. 5.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 46 (c) 25 (d) 31
  6. 6.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 14 (c) 54 (d) 82
  7. 7.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 30 (c) 35 (d) 60
  8. 8.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 22 (c) 39 (d) 40
  9. 9.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 65 (c) 56 (d) 12
  10. 10.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 32 (c) 10 (d) 38
  11. 11.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 88 (b) 45 (c) 16 (d) 59
  12. 12.What is the average of 9, 23, 21, 34, 20 and 19? (a) 21 (b) 20 (c) 23 (d) 22
  13. 13.What is the average of 67, 48, 51, 58 and 81? (a) 60 (b) 62 (c) 61 (d) 63
  14. 14.What is the average of 59, 76, 57, 71 and 77? (a) 69 (b) 85 (c) 67 (d) 68
  15. 15.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) 16 (b) 20 (c) 32 (d) 28
  16. 16.What is the average of 73, 69, 63 and 27? (a) 57 (b) 58 (c) 59 (d) 60
  17. 17.What is the average of 39, 45, 49, 52, 36 and 55? (a) 46 (b) 47 (c) 48 (d) 45
  18. 18.What is the average of 43, 31, 29, 21 and 41? (a) 34 (b) 32 (c) 35 (d) 33
  19. 19.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 51 (c) 50 (d) 35
  20. 20.What is the average of all the whole numbers from 55 to 91? (a) 36 (b) 74 (c) 18 (d) 73
  21. 21.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 35 (c) 40 (d) 55
  22. 22.What is the average of all the whole numbers from 38 to 76? (a) 57 (b) 58 (c) 19 (d) 38
  23. 23.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 37 (c) 34 (d) 35
  24. 24.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 6 (b) 77 (c) 7 (d) 36
  25. 25.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 35 (b) 34 (c) 55 (d) 27
  26. 26.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 80 (c) 45 (d) 42
  27. 27.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 12 (b) 57 (c) 65 (d) 55
  28. 28.What is the average of all the whole numbers from 17 to 33? (a) 26 (b) 8 (c) 25 (d) 16
  29. 29.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 21 (b) 10 (c) 17 (d) 28
  30. 30.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 14 (c) 5 (d) 15
  31. 31.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 60? (a) 63 (b) 87 (c) 30 (d) 60
  32. 32.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 56 (c) 76 (d) 28
  33. 33.What is the average of all the whole numbers from 46 to 86? (a) 20 (b) 67 (c) 40 (d) 66
  34. 34.What is the average of all the whole numbers from 11 to 43? (a) 27 (b) 16 (c) 32 (d) 28
  35. 35.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) 15 (c) 47 (d) 56
  36. 36.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 61? (a) 40 (b) 69 (c) 93 (d) 61
  37. 37.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 19 (c) 20 (d) 45
  38. 38.What is the average of all the whole numbers from 45 to 71? (a) 59 (b) 26 (c) 13 (d) 58
  39. 39.What is the average of 74, 69, 59, 85 and 83? (a) 76 (b) 74 (c) 73 (d) 75
  40. 40.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 138 (c) 66 (d) 80

Answer key

  1. 71
  2. 17
  3. 36
  4. 44
  5. 46
  6. 54
  7. 60
  8. 39
  9. 65
  10. 38
  11. 59
  12. 21
  13. 61
  14. 68
  15. 32
  16. 58
  17. 46
  18. 33
  19. 50
  20. 73
  21. 55
  22. 57
  23. 34
  24. 6
  25. 55
  26. 80
  27. 65
  28. 25
  29. 28
  30. 14
  31. 87
  32. 76
  33. 66
  34. 27
  35. 56
  36. 93
  37. 19
  38. 58
  39. 74
  40. 138

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