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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 31 · 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, 39, 40, 52 and 57? (a) 45 (b) 44 (c) 43 (d) 55
  2. 2.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 94 (b) 42 (c) 59 (d) 66
  3. 3.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 60 (c) 63 (d) 117
  4. 4.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 100 (b) 80 (c) 28 (d) 36
  5. 5.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 36 (c) 30 (d) 11
  6. 6.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 40 (b) 19 (c) 12 (d) 47
  7. 7.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 30 (b) 57 (c) 54 (d) 81
  8. 8.What is the average of all the whole numbers from 42 to 70? (a) 28 (b) 56 (c) 57 (d) 14
  9. 9.What is the average of all the whole numbers from 22 to 48? (a) 13 (b) 35 (c) 36 (d) 26
  10. 10.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 28 (c) 84 (d) 40
  11. 11.What is the average of all the whole numbers from 11 to 49? (a) 38 (b) 31 (c) 30 (d) 19
  12. 12.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) 53 (d) 57
  13. 13.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 35 (c) 45 (d) 15
  14. 14.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 8 (c) 4 (d) 57
  15. 15.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 53 (c) 14 (d) 51
  16. 16.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 60? (a) 68 (b) 60 (c) 80 (d) 132
  17. 17.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 71 (c) 46 (d) 87
  18. 18.What is the average of all the whole numbers from 14 to 40? (a) 13 (b) 28 (c) 26 (d) 27
  19. 19.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 64 (c) 87 (d) 39
  20. 20.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 77 (b) 37 (c) 26 (d) 25
  21. 21.What is the average of 45, 39, 59, 48, 51 and 64? (a) 52 (b) 51 (c) 50 (d) 53
  22. 22.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 10 (c) 54 (d) 9
  23. 23.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 32 (c) 28 (d) 27
  24. 24.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 62 (c) 16 (d) 70
  25. 25.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 44? (a) 44 (b) 60 (c) 46 (d) 18
  26. 26.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 61 (c) 27 (d) 58
  27. 27.What is the average of 69, 72, 57, 65, 70 and 69? (a) 69 (b) 66 (c) 67 (d) 68
  28. 28.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 20 (b) 11 (c) 26 (d) 17
  29. 29.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 25 (c) 44 (d) 24
  30. 30.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) 39 (c) 30 (d) 36
  31. 31.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 30 (b) 50 (c) 75 (d) 55
  32. 32.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 56? (a) 42 (b) 63 (c) 56 (d) 91
  33. 33.What is the average of all the whole numbers from 33 to 47? (a) 41 (b) 7 (c) 40 (d) 14
  34. 34.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 118 (b) 63 (c) 69 (d) 62
  35. 35.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 24 (b) 17 (c) 31 (d) 10
  36. 36.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 45? (a) 45 (b) 73 (c) 32 (d) 49
  37. 37.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 61 (c) 30 (d) 27
  38. 38.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 32 (b) 25 (c) 21 (d) 14
  39. 39.What is the average of 23, 13, 13, 12 and 59? (a) 23 (b) 25 (c) 24 (d) 30
  40. 40.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 33 (c) 25 (d) 12

Answer key

  1. 44
  2. 94
  3. 117
  4. 100
  5. 36
  6. 47
  7. 81
  8. 56
  9. 35
  10. 28
  11. 30
  12. 85
  13. 45
  14. 57
  15. 63
  16. 132
  17. 71
  18. 27
  19. 87
  20. 25
  21. 51
  22. 9
  23. 27
  24. 70
  25. 60
  26. 82
  27. 67
  28. 26
  29. 24
  30. 63
  31. 75
  32. 91
  33. 40
  34. 118
  35. 31
  36. 73
  37. 27
  38. 32
  39. 24
  40. 33

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