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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 331 · 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 40, 20, 22, 10 and 33? (a) 25 (b) 26 (c) 27 (d) 24
  2. 2.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 94 (b) 60 (c) 46 (d) 40
  3. 3.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 22 (c) 80 (d) 23
  4. 4.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 13 (c) 12 (d) 52
  5. 5.What is the average of 58, 59, 41 and 30? (a) 48 (b) 47 (c) 49 (d) 46
  6. 6.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 32? (a) 42 (b) 38 (c) 68 (d) 32
  7. 7.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 72 (b) 116 (c) 60 (d) 52
  8. 8.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 74 (c) 47 (d) 30
  9. 9.What is the average of 50, 39, 55 and 32? (a) 45 (b) 43 (c) 46 (d) 44
  10. 10.What is the average of 53, 61, 71 and 47? (a) 59 (b) 57 (c) 58 (d) 60
  11. 11.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 53? (a) 53 (b) 16 (c) 57 (d) 65
  12. 12.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 25 (c) 10 (d) 9
  13. 13.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 55 (c) 41 (d) 28
  14. 14.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) 25 (b) 26 (c) 31 (d) 46
  15. 15.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 33 (b) 18 (c) 20 (d) 31
  16. 16.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 56? (a) 56 (b) 28 (c) 63 (d) 77
  17. 17.What is the average of 56, 63, 62 and 99? (a) 72 (b) 69 (c) 71 (d) 70
  18. 18.What is the average of all the whole numbers from 14 to 24? (a) 5 (b) 10 (c) 19 (d) 20
  19. 19.What is the average of all the whole numbers from 46 to 56? (a) 5 (b) 10 (c) 52 (d) 51
  20. 20.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 93 (c) 48 (d) 61
  21. 21.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 15 (c) 45 (d) 54
  22. 22.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 14 (c) 31 (d) 19
  23. 23.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 22 (b) 10 (c) 16 (d) 23
  24. 24.What is the average of all the whole numbers from 18 to 30? (a) 24 (b) 12 (c) 25 (d) 6
  25. 25.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 35 (b) 18 (c) 28 (d) 11
  26. 26.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 51 (b) 8 (c) 9 (d) 23
  27. 27.What is the average of 32, 45, 37, 44, 36 and 76? (a) 54 (b) 45 (c) 46 (d) 44
  28. 28.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 50 (c) 58 (d) 103
  29. 29.What is the average of all the whole numbers from 50 to 76? (a) 13 (b) 63 (c) 26 (d) 64
  30. 30.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 40 (b) 15 (c) 28 (d) 53
  31. 31.What is the average of all the whole numbers from 11 to 35? (a) 22 (b) 24 (c) 12 (d) 23
  32. 32.What is the average of all the whole numbers from 5 to 45? (a) 40 (b) 20 (c) 25 (d) 26
  33. 33.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 68 (b) 28 (c) 45 (d) 33
  34. 34.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 18 (c) 9 (d) 53
  35. 35.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 62 (c) 10 (d) 9
  36. 36.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 63 (c) 24 (d) 81
  37. 37.What is the average of 72, 81, 65, 84, 84 and 82? (a) 80 (b) 79 (c) 78 (d) 77
  38. 38.What is the average of all the whole numbers from 55 to 73? (a) 9 (b) 65 (c) 64 (d) 18
  39. 39.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 4 (b) 37 (c) 19 (d) 22
  40. 40.What is the average of 71, 76, 62, 65 and 106? (a) 95 (b) 75 (c) 76 (d) 77

Answer key

  1. 25
  2. 94
  3. 22
  4. 12
  5. 47
  6. 68
  7. 116
  8. 74
  9. 44
  10. 58
  11. 65
  12. 9
  13. 55
  14. 46
  15. 33
  16. 77
  17. 70
  18. 19
  19. 51
  20. 93
  21. 54
  22. 31
  23. 22
  24. 24
  25. 35
  26. 8
  27. 45
  28. 103
  29. 63
  30. 40
  31. 23
  32. 25
  33. 68
  34. 53
  35. 9
  36. 63
  37. 78
  38. 64
  39. 22
  40. 76

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