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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 928 · 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.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 7 (c) 10 (d) 8
  2. 2.What is the average of all the whole numbers from 52 to 88? (a) 36 (b) 18 (c) 71 (d) 70
  3. 3.What is the average of all the whole numbers from 40 to 52? (a) 47 (b) 6 (c) 12 (d) 46
  4. 4.What is the average of 31, 28, 44 and 41? (a) 35 (b) 37 (c) 36 (d) 48
  5. 5.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) 35 (c) 53 (d) 38
  6. 6.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 22 (c) 21 (d) 41
  7. 7.What is the average of 46, 44, 56, 43 and 71? (a) 52 (b) 65 (c) 51 (d) 53
  8. 8.What is the average of all the whole numbers from 23 to 51? (a) 14 (b) 37 (c) 28 (d) 38
  9. 9.What is the average of all the whole numbers from 27 to 41? (a) 7 (b) 35 (c) 14 (d) 34
  10. 10.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 41 (b) 64 (c) 10 (d) 33
  11. 11.What is the average of 25, 17, 38 and 44? (a) 32 (b) 31 (c) 30 (d) 33
  12. 12.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 31 (c) 26 (d) 51
  13. 13.What is the average of 25, 29, 34, 46, 37 and 21? (a) 33 (b) 32 (c) 34 (d) 31
  14. 14.What is the average of 19, 21, 23 and 41? (a) 26 (b) 28 (c) 25 (d) 27
  15. 15.What is the average of all the whole numbers from 42 to 78? (a) 36 (b) 18 (c) 60 (d) 61
  16. 16.What is the average of 83, 84, 63, 79 and 36? (a) 68 (b) 70 (c) 71 (d) 69
  17. 17.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) 59 (c) 45 (d) 16
  18. 18.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 63 (b) 36 (c) 39 (d) 30
  19. 19.What is the average of all the whole numbers from 25 to 33? (a) 4 (b) 30 (c) 8 (d) 29
  20. 20.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 20 (c) 55 (d) 65
  21. 21.What is the average of 44, 61, 64, 69, 54 and 38? (a) 56 (b) 54 (c) 55 (d) 66
  22. 22.What is the average of all the whole numbers from 42 to 80? (a) 19 (b) 62 (c) 61 (d) 38
  23. 23.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 24 (b) 74 (c) 25 (d) 36
  24. 24.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 34 (c) 3 (d) 4
  25. 25.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 29 (c) 32 (d) 4
  26. 26.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 58 (c) 16 (d) 46
  27. 27.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 32 (c) 15 (d) 44
  28. 28.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 56 (c) 28 (d) 80
  29. 29.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 13 (b) 37 (c) 18 (d) 14
  30. 30.What is the average of 36, 22, 16, 13, 13 and 56? (a) 28 (b) 26 (c) 25 (d) 27
  31. 31.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 31 (b) 22 (c) 41 (d) 12
  32. 32.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 12 (b) 39 (c) 49 (d) 41
  33. 33.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 55 (b) 46 (c) 49 (d) 12
  34. 34.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 16 (c) 15 (d) 82
  35. 35.What is the average of 49, 63, 44 and 72? (a) 76 (b) 58 (c) 56 (d) 57
  36. 36.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 6 (b) 21 (c) 5 (d) 10
  37. 37.What is the average of all the whole numbers from 14 to 40? (a) 26 (b) 13 (c) 27 (d) 28
  38. 38.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 37 (b) 85 (c) 36 (d) 42
  39. 39.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 73 (b) 37 (c) 40 (d) 4
  40. 40.What is the average of 65, 65, 66, 58, 75 and 43? (a) 61 (b) 62 (c) 63 (d) 64

Answer key

  1. 7
  2. 70
  3. 46
  4. 36
  5. 53
  6. 21
  7. 52
  8. 37
  9. 34
  10. 41
  11. 31
  12. 31
  13. 32
  14. 26
  15. 60
  16. 69
  17. 59
  18. 63
  19. 29
  20. 65
  21. 55
  22. 61
  23. 24
  24. 3
  25. 32
  26. 58
  27. 44
  28. 80
  29. 13
  30. 26
  31. 31
  32. 49
  33. 55
  34. 15
  35. 57
  36. 5
  37. 27
  38. 36
  39. 40
  40. 62

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