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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 489 · 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 32, 46, 25, 38 and 39? (a) 45 (b) 36 (c) 37 (d) 35
  2. 2.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 8 (d) 34
  3. 3.What is the average of all the whole numbers from 7 to 17? (a) 12 (b) 13 (c) 10 (d) 5
  4. 4.What is the average of 26, 19, 21 and 22? (a) 23 (b) 24 (c) 22 (d) 21
  5. 5.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 12 (b) 34 (c) 31 (d) 40
  6. 6.What is the average of 36, 46, 20, 34, 46 and 22? (a) 33 (b) 36 (c) 35 (d) 34
  7. 7.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 41 (c) 17 (d) 20
  8. 8.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 16 (b) 45 (c) 57 (d) 43
  9. 9.What is the average of 43, 29, 17, 40, 20 and 43? (a) 31 (b) 33 (c) 32 (d) 34
  10. 10.What is the average of 36, 33, 12, 18, 19 and 32? (a) 26 (b) 25 (c) 24 (d) 30
  11. 11.What is the average of all the whole numbers from 54 to 60? (a) 3 (b) 58 (c) 57 (d) 6
  12. 12.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 47 (b) 20 (c) 32 (d) 59
  13. 13.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 62 (b) 35 (c) 32 (d) 59
  14. 14.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 55 (c) 14 (d) 84
  15. 15.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 18 (c) 34 (d) 50
  16. 16.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 66 (b) 28 (c) 45 (d) 52
  17. 17.What is the average of all the whole numbers from 26 to 34? (a) 30 (b) 31 (c) 4 (d) 8
  18. 18.What is the average of all the whole numbers from 15 to 27? (a) 21 (b) 22 (c) 6 (d) 12
  19. 19.What is the average of all the whole numbers from 34 to 62? (a) 14 (b) 49 (c) 48 (d) 28
  20. 20.What is the average of 22, 36, 23 and 47? (a) 32 (b) 34 (c) 31 (d) 33
  21. 21.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 45 (c) 87 (d) 47
  22. 22.What is the average of 39, 27, 27, 41, 26 and 62? (a) 39 (b) 36 (c) 38 (d) 37
  23. 23.What is the average of all the whole numbers from 53 to 59? (a) 3 (b) 57 (c) 56 (d) 6
  24. 24.What is the average of all the whole numbers from 55 to 91? (a) 73 (b) 36 (c) 74 (d) 18
  25. 25.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 40 (b) 38 (c) 71 (d) 73
  26. 26.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 15 (c) 16 (d) 4
  27. 27.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 42 (c) 72 (d) 37
  28. 28.What is the average of 55, 66, 65, 71, 65 and 56? (a) 62 (b) 63 (c) 65 (d) 64
  29. 29.What is the average of 55, 61, 59, 55 and 80? (a) 64 (b) 63 (c) 61 (d) 62
  30. 30.What is the average of 39, 64, 44, 44 and 74? (a) 52 (b) 53 (c) 55 (d) 54
  31. 31.What is the average of 52, 56, 62, 64, 70 and 80? (a) 65 (b) 66 (c) 63 (d) 64
  32. 32.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 20 (c) 71 (d) 61
  33. 33.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 40 (c) 78 (d) 54
  34. 34.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 25 (c) 49 (d) 53
  35. 35.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 21 (b) 53 (c) 38 (d) 35
  36. 36.What is the average of 28, 44, 46 and 42? (a) 42 (b) 39 (c) 40 (d) 41
  37. 37.What is the average of 12, 13, 33, 41 and 31? (a) 25 (b) 26 (c) 27 (d) 28
  38. 38.What is the average of all the whole numbers from 28 to 52? (a) 41 (b) 24 (c) 12 (d) 40
  39. 39.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 86 (b) 56 (c) 42 (d) 50
  40. 40.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 71 (b) 5 (c) 40 (d) 36

Answer key

  1. 36
  2. 34
  3. 12
  4. 22
  5. 40
  6. 34
  7. 17
  8. 57
  9. 32
  10. 25
  11. 57
  12. 47
  13. 62
  14. 55
  15. 50
  16. 66
  17. 30
  18. 21
  19. 48
  20. 32
  21. 87
  22. 37
  23. 56
  24. 73
  25. 73
  26. 15
  27. 72
  28. 63
  29. 62
  30. 53
  31. 64
  32. 71
  33. 54
  34. 49
  35. 53
  36. 40
  37. 26
  38. 40
  39. 86
  40. 40

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