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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 42 · 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 22, 25, 39, 30 and 49? (a) 35 (b) 34 (c) 33 (d) 32
  2. 2.What is the average of 21, 12, 14, 32 and 21? (a) 19 (b) 20 (c) 21 (d) 25
  3. 3.What is the average of 55, 46, 54, 31 and 24? (a) 43 (b) 41 (c) 42 (d) 44
  4. 4.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) 59 (b) 47 (c) 32 (d) 20
  5. 5.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 48 (c) 56 (d) 32
  6. 6.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 32 (c) 18 (d) 17
  7. 7.What is the average of all the whole numbers from 48 to 56? (a) 8 (b) 52 (c) 4 (d) 53
  8. 8.What is the average of all the whole numbers from 26 to 40? (a) 7 (b) 14 (c) 34 (d) 33
  9. 9.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 51 (b) 5 (c) 47 (d) 93
  10. 10.What is the average of 53, 72, 51, 67 and 57? (a) 61 (b) 59 (c) 60 (d) 75
  11. 11.What is the average of all the whole numbers from 35 to 47? (a) 41 (b) 42 (c) 6 (d) 12
  12. 12.What is the average of all the whole numbers from 46 to 60? (a) 54 (b) 7 (c) 53 (d) 14
  13. 13.What is the average of 15, 40, 14, 21 and 35? (a) 26 (b) 25 (c) 24 (d) 27
  14. 14.What is the average of all the whole numbers from 56 to 86? (a) 71 (b) 72 (c) 15 (d) 30
  15. 15.What is the average of 72, 63, 62, 58, 78 and 99? (a) 72 (b) 74 (c) 73 (d) 71
  16. 16.What is the average of all the whole numbers from 48 to 78? (a) 63 (b) 15 (c) 64 (d) 30
  17. 17.What is the average of 55, 72, 46 and 71? (a) 63 (b) 60 (c) 61 (d) 62
  18. 18.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 27 (c) 46 (d) 45
  19. 19.What is the average of 19, 38, 33, 34 and 6? (a) 27 (b) 28 (c) 26 (d) 25
  20. 20.What is the average of 87, 74, 87 and 64? (a) 104 (b) 77 (c) 79 (d) 78
  21. 21.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 4 (c) 10 (d) 5
  22. 22.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 64 (c) 78 (d) 28
  23. 23.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 24 (c) 12 (d) 16
  24. 24.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 8 (b) 11 (c) 21 (d) 18
  25. 25.What is the average of all the whole numbers from 26 to 42? (a) 35 (b) 16 (c) 8 (d) 34
  26. 26.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 37 (c) 36 (d) 65
  27. 27.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 21 (d) 45
  28. 28.What is the average of 37, 30, 27, 38 and 78? (a) 42 (b) 43 (c) 44 (d) 41
  29. 29.What is the average of all the whole numbers from 23 to 33? (a) 29 (b) 10 (c) 5 (d) 28
  30. 30.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 28 (b) 67 (c) 43 (d) 82
  31. 31.What is the average of 58, 64, 41 and 53? (a) 72 (b) 54 (c) 53 (d) 55
  32. 32.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 13 (c) 12 (d) 18
  33. 33.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 38 (c) 39 (d) 50
  34. 34.What is the average of 45, 39, 45 and 55? (a) 47 (b) 46 (c) 48 (d) 45
  35. 35.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 113 (c) 72 (d) 57
  36. 36.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 31? (a) 31 (b) 55 (c) 30 (d) 37
  37. 37.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 24 (b) 78 (c) 60 (d) 57
  38. 38.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 36 (b) 85 (c) 61 (d) 55
  39. 39.What is the average of all the whole numbers from 38 to 50? (a) 45 (b) 12 (c) 6 (d) 44
  40. 40.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 49? (a) 73 (b) 28 (c) 53 (d) 49

Answer key

  1. 33
  2. 20
  3. 42
  4. 47
  5. 72
  6. 17
  7. 52
  8. 33
  9. 51
  10. 60
  11. 41
  12. 53
  13. 25
  14. 71
  15. 72
  16. 63
  17. 61
  18. 45
  19. 26
  20. 78
  21. 4
  22. 78
  23. 24
  24. 18
  25. 34
  26. 65
  27. 45
  28. 42
  29. 28
  30. 67
  31. 54
  32. 12
  33. 38
  34. 46
  35. 113
  36. 55
  37. 78
  38. 85
  39. 44
  40. 73

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