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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 544 · 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.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 10 (b) 56 (c) 58 (d) 64
  2. 2.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 43? (a) 58 (b) 18 (c) 43 (d) 46
  3. 3.What is the average of all the whole numbers from 16 to 44? (a) 14 (b) 31 (c) 30 (d) 28
  4. 4.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 38 (c) 22 (d) 20
  5. 5.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 37 (c) 12 (d) 11
  6. 6.What is the average of 40, 48, 42 and 62? (a) 47 (b) 49 (c) 48 (d) 64
  7. 7.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 25 (b) 36 (c) 51 (d) 31
  8. 8.What is the average of all the whole numbers from 12 to 20? (a) 17 (b) 16 (c) 8 (d) 4
  9. 9.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 37 (c) 5 (d) 33
  10. 10.What is the average of all the whole numbers from 54 to 86? (a) 32 (b) 71 (c) 16 (d) 70
  11. 11.What is the average of all the whole numbers from 31 to 41? (a) 36 (b) 37 (c) 5 (d) 10
  12. 12.What is the average of all the whole numbers from 49 to 61? (a) 55 (b) 56 (c) 12 (d) 6
  13. 13.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 70 (c) 20 (d) 54
  14. 14.What is the average of 14, 13, 14, 24, 31 and 30? (a) 21 (b) 20 (c) 22 (d) 23
  15. 15.What is the average of all the whole numbers from 7 to 17? (a) 13 (b) 5 (c) 10 (d) 12
  16. 16.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 12 (c) 19 (d) 10
  17. 17.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 25 (c) 33 (d) 24
  18. 18.What is the average of all the whole numbers from 17 to 35? (a) 9 (b) 26 (c) 18 (d) 27
  19. 19.What is the average of all the whole numbers from 5 to 41? (a) 23 (b) 24 (c) 36 (d) 18
  20. 20.What is the average of 61, 51, 62 and 62? (a) 61 (b) 58 (c) 59 (d) 60
  21. 21.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 30 (b) 39 (c) 34 (d) 59
  22. 22.What is the average of 85, 85, 79, 65 and 66? (a) 95 (b) 75 (c) 76 (d) 77
  23. 23.What is the average of 71, 75, 54 and 64? (a) 66 (b) 88 (c) 67 (d) 65
  24. 24.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 29 (b) 37 (c) 77 (d) 28
  25. 25.What is the average of all the whole numbers from 50 to 72? (a) 62 (b) 22 (c) 11 (d) 61
  26. 26.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 48 (c) 25 (d) 51
  27. 27.What is the average of 28, 24, 24, 48 and 51? (a) 36 (b) 37 (c) 34 (d) 35
  28. 28.What is the average of all the whole numbers from 58 to 88? (a) 74 (b) 30 (c) 73 (d) 15
  29. 29.What is the average of 24, 38, 23, 28 and 37? (a) 31 (b) 30 (c) 32 (d) 29
  30. 30.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 26 (d) 7
  31. 31.What is the average of all the whole numbers from 37 to 61? (a) 12 (b) 49 (c) 50 (d) 24
  32. 32.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 24 (c) 60 (d) 42
  33. 33.What is the average of all the whole numbers from 34 to 64? (a) 30 (b) 15 (c) 49 (d) 50
  34. 34.What is the average of 65, 71, 75 and 105? (a) 81 (b) 80 (c) 78 (d) 79
  35. 35.What is the average of all the whole numbers from 15 to 23? (a) 20 (b) 8 (c) 4 (d) 19
  36. 36.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 56 (c) 16 (d) 42
  37. 37.What is the average of 39, 45, 42 and 90? (a) 55 (b) 53 (c) 72 (d) 54
  38. 38.What is the average of 29, 40, 37 and 22? (a) 31 (b) 34 (c) 33 (d) 32
  39. 39.What is the average of 49, 43, 60 and 28? (a) 60 (b) 44 (c) 46 (d) 45
  40. 40.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 102 (c) 38 (d) 72

Answer key

  1. 64
  2. 58
  3. 30
  4. 38
  5. 11
  6. 48
  7. 51
  8. 16
  9. 37
  10. 70
  11. 36
  12. 55
  13. 70
  14. 21
  15. 12
  16. 19
  17. 24
  18. 26
  19. 23
  20. 59
  21. 59
  22. 76
  23. 66
  24. 28
  25. 61
  26. 48
  27. 35
  28. 73
  29. 30
  30. 26
  31. 49
  32. 60
  33. 49
  34. 79
  35. 19
  36. 56
  37. 54
  38. 32
  39. 45
  40. 102

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