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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 281 · 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 all the whole numbers from 53 to 89? (a) 72 (b) 36 (c) 71 (d) 18
  2. 2.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 48 (c) 66 (d) 21
  3. 3.What is the average of 25, 40, 23, 27, 26 and 27? (a) 29 (b) 30 (c) 28 (d) 27
  4. 4.What is the average of 60, 45, 64 and 43? (a) 55 (b) 52 (c) 53 (d) 54
  5. 5.What is the average of all the whole numbers from 8 to 24? (a) 8 (b) 17 (c) 16 (d) 15
  6. 6.What is the average of 30, 21, 18, 34 and 32? (a) 28 (b) 29 (c) 27 (d) 26
  7. 7.What is the average of all the whole numbers from 24 to 56? (a) 41 (b) 40 (c) 32 (d) 16
  8. 8.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 42? (a) 47 (b) 87 (c) 50 (d) 42
  9. 9.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 52? (a) 61 (b) 12 (c) 52 (d) 55
  10. 10.What is the average of 21, 37, 34 and 44? (a) 35 (b) 33 (c) 36 (d) 34
  11. 11.What is the average of all the whole numbers from 35 to 43? (a) 8 (b) 39 (c) 4 (d) 40
  12. 12.What is the average of 66, 46, 46, 41 and 81? (a) 55 (b) 56 (c) 57 (d) 70
  13. 13.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 39? (a) 39 (b) 44 (c) 50 (d) 84
  14. 14.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 21 (c) 20 (d) 6
  15. 15.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 33 (c) 32 (d) 35
  16. 16.What is the average of 82, 83, 71 and 84? (a) 82 (b) 81 (c) 79 (d) 80
  17. 17.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 55 (c) 21 (d) 71
  18. 18.What is the average of 55, 53, 53 and 91? (a) 63 (b) 84 (c) 64 (d) 62
  19. 19.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 37 (c) 38 (d) 87
  20. 20.What is the average of all the whole numbers from 12 to 50? (a) 32 (b) 38 (c) 31 (d) 19
  21. 21.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 72 (b) 30 (c) 38 (d) 94
  22. 22.What is the average of all the whole numbers from 15 to 35? (a) 25 (b) 20 (c) 26 (d) 10
  23. 23.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 28 (c) 63 (d) 40
  24. 24.What is the average of 45, 29, 46 and 16? (a) 36 (b) 35 (c) 34 (d) 33
  25. 25.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 50? (a) 50 (b) 104 (c) 60 (d) 56
  26. 26.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 27? (a) 27 (b) 36 (c) 12 (d) 30
  27. 27.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 45? (a) 30 (b) 45 (c) 50 (d) 70
  28. 28.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 45 (c) 8 (d) 75
  29. 29.What is the average of all the whole numbers from 41 to 79? (a) 19 (b) 61 (c) 60 (d) 38
  30. 30.What is the average of 5, 7, 5, 8 and 75? (a) 21 (b) 25 (c) 20 (d) 19
  31. 31.What is the average of 32, 44, 55, 46 and 58? (a) 46 (b) 48 (c) 49 (d) 47
  32. 32.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 84 (c) 66 (d) 24
  33. 33.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 17 (b) 40 (c) 84 (d) 16
  34. 34.What is the average of 79, 78, 63, 62 and 63? (a) 70 (b) 69 (c) 71 (d) 68
  35. 35.What is the average of all the whole numbers from 36 to 74? (a) 19 (b) 38 (c) 55 (d) 56
  36. 36.What is the average of 53, 50, 72 and 73? (a) 62 (b) 63 (c) 61 (d) 64
  37. 37.What is the average of all the whole numbers from 30 to 60? (a) 45 (b) 46 (c) 15 (d) 30
  38. 38.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 77 (d) 36
  39. 39.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 34 (c) 69 (d) 32
  40. 40.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 34? (a) 20 (b) 49 (c) 34 (d) 39

Answer key

  1. 71
  2. 66
  3. 28
  4. 53
  5. 16
  6. 27
  7. 40
  8. 87
  9. 61
  10. 34
  11. 39
  12. 56
  13. 84
  14. 20
  15. 32
  16. 80
  17. 55
  18. 63
  19. 37
  20. 31
  21. 94
  22. 25
  23. 63
  24. 34
  25. 104
  26. 36
  27. 70
  28. 45
  29. 60
  30. 20
  31. 47
  32. 84
  33. 16
  34. 69
  35. 55
  36. 62
  37. 45
  38. 77
  39. 31
  40. 49

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