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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 871 · 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 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 15 (b) 65 (c) 53 (d) 56
  2. 2.What is the average of 69, 57, 70, 69 and 60? (a) 65 (b) 67 (c) 64 (d) 66
  3. 3.What is the average of all the whole numbers from 23 to 55? (a) 16 (b) 32 (c) 40 (d) 39
  4. 4.What is the average of 34, 27, 10 and 9? (a) 19 (b) 21 (c) 22 (d) 20
  5. 5.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 63 (b) 25 (c) 54 (d) 34
  6. 6.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 21 (c) 73 (d) 56
  7. 7.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 49 (b) 7 (c) 43 (d) 85
  8. 8.What is the average of all the whole numbers from 56 to 74? (a) 65 (b) 9 (c) 66 (d) 18
  9. 9.What is the average of 24, 36, 32 and 56? (a) 39 (b) 36 (c) 37 (d) 38
  10. 10.What is the average of all the whole numbers from 6 to 12? (a) 3 (b) 9 (c) 10 (d) 6
  11. 11.What is the average of 43, 39, 60, 59 and 24? (a) 44 (b) 46 (c) 47 (d) 45
  12. 12.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 12 (c) 52 (d) 42
  13. 13.What is the average of all the whole numbers from 59 to 89? (a) 15 (b) 75 (c) 30 (d) 74
  14. 14.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 25 (b) 49 (c) 102 (d) 26
  15. 15.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 36 (b) 85 (c) 57 (d) 53
  16. 16.What is the average of all the whole numbers from 25 to 53? (a) 39 (b) 40 (c) 28 (d) 14
  17. 17.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 35 (c) 47 (d) 20
  18. 18.What is the average of all the whole numbers from 54 to 66? (a) 60 (b) 12 (c) 61 (d) 6
  19. 19.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 75 (b) 63 (c) 66 (d) 15
  20. 20.What is the average of 44, 44, 47 and 97? (a) 58 (b) 59 (c) 57 (d) 60
  21. 21.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) 38 (b) 72 (c) 102 (d) 46
  22. 22.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 46 (b) 40 (c) 78 (d) 8
  23. 23.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 24 (b) 39 (c) 36 (d) 57
  24. 24.What is the average of all the whole numbers from 33 to 49? (a) 16 (b) 8 (c) 41 (d) 42
  25. 25.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 8 (b) 27 (c) 21 (d) 14
  26. 26.What is the average of all the whole numbers from 37 to 67? (a) 30 (b) 15 (c) 53 (d) 52
  27. 27.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 47 (c) 72 (d) 103
  28. 28.What is the average of all the whole numbers from 52 to 90? (a) 19 (b) 72 (c) 38 (d) 71
  29. 29.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 58 (c) 60 (d) 112
  30. 30.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 5 (c) 6 (d) 26
  31. 31.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 99 (b) 56 (c) 50 (d) 7
  32. 32.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 59 (b) 52 (c) 115 (d) 70
  33. 33.What is the average of 41, 37, 24, 37 and 51? (a) 37 (b) 39 (c) 38 (d) 40
  34. 34.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 64 (b) 50 (c) 106 (d) 58
  35. 35.What is the average of all the whole numbers from 35 to 61? (a) 49 (b) 13 (c) 26 (d) 48
  36. 36.What is the average of all the whole numbers from 42 to 60? (a) 52 (b) 9 (c) 18 (d) 51
  37. 37.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 33 (c) 30 (d) 58
  38. 38.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 81 (b) 40 (c) 80 (d) 45
  39. 39.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 83 (b) 48 (c) 45 (d) 43
  40. 40.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 53 (b) 14 (c) 43 (d) 41

Answer key

  1. 65
  2. 65
  3. 39
  4. 20
  5. 54
  6. 56
  7. 49
  8. 65
  9. 37
  10. 9
  11. 45
  12. 52
  13. 74
  14. 25
  15. 85
  16. 39
  17. 47
  18. 60
  19. 75
  20. 58
  21. 102
  22. 46
  23. 57
  24. 41
  25. 21
  26. 52
  27. 103
  28. 71
  29. 112
  30. 5
  31. 56
  32. 115
  33. 38
  34. 106
  35. 48
  36. 51
  37. 58
  38. 80
  39. 83
  40. 53

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