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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 694 · 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 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 15 (c) 37 (d) 49
  2. 2.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 8 (c) 31 (d) 48
  3. 3.What is the average of 48, 70, 51 and 83? (a) 84 (b) 62 (c) 63 (d) 64
  4. 4.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 43 (c) 22 (d) 27
  5. 5.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 103 (b) 63 (c) 48 (d) 71
  6. 6.What is the average of 26, 31, 15, 29 and 14? (a) 25 (b) 22 (c) 24 (d) 23
  7. 7.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 98 (b) 48 (c) 62 (d) 56
  8. 8.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 5 (c) 32 (d) 55
  9. 9.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 61 (b) 24 (c) 49 (d) 43
  10. 10.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 14 (c) 80 (d) 53
  11. 11.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 24 (b) 34 (c) 52 (d) 40
  12. 12.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 59 (b) 31 (c) 38 (d) 35
  13. 13.What is the average of 63, 46, 47, 45, 47 and 88? (a) 55 (b) 58 (c) 56 (d) 57
  14. 14.What is the average of all the whole numbers from 15 to 41? (a) 13 (b) 26 (c) 29 (d) 28
  15. 15.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 20 (c) 59 (d) 71
  16. 16.What is the average of 71, 62, 81, 68 and 88? (a) 74 (b) 76 (c) 73 (d) 75
  17. 17.What is the average of all the whole numbers from 37 to 55? (a) 18 (b) 9 (c) 47 (d) 46
  18. 18.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 8 (c) 34 (d) 36
  19. 19.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 59 (b) 7 (c) 8 (d) 28
  20. 20.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 72 (b) 64 (c) 88 (d) 32
  21. 21.What is the average of 66, 78, 89 and 75? (a) 76 (b) 79 (c) 77 (d) 78
  22. 22.What is the average of 43, 53, 36, 51, 36 and 15? (a) 40 (b) 39 (c) 41 (d) 38
  23. 23.What is the average of all the whole numbers from 35 to 63? (a) 50 (b) 28 (c) 49 (d) 14
  24. 24.What is the average of 17, 22, 12 and 53? (a) 27 (b) 25 (c) 28 (d) 26
  25. 25.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 15 (b) 19 (c) 23 (d) 11
  26. 26.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 53 (b) 41 (c) 79 (d) 15
  27. 27.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 35 (c) 79 (d) 39
  28. 28.What is the average of all the whole numbers from 7 to 41? (a) 34 (b) 24 (c) 25 (d) 17
  29. 29.What is the average of 54, 32, 53 and 33? (a) 45 (b) 43 (c) 42 (d) 44
  30. 30.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 72 (c) 74 (d) 130
  31. 31.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 51 (b) 21 (c) 33 (d) 36
  32. 32.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) 58 (b) 64 (c) 10 (d) 56
  33. 33.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 26 (c) 25 (d) 6
  34. 34.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 18 (c) 19 (d) 21
  35. 35.What is the average of all the whole numbers from 57 to 87? (a) 30 (b) 15 (c) 73 (d) 72
  36. 36.What is the average of all the whole numbers from 26 to 34? (a) 4 (b) 8 (c) 31 (d) 30
  37. 37.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 14 (c) 49 (d) 40
  38. 38.What is the average of 17, 18, 12 and 61? (a) 28 (b) 36 (c) 26 (d) 27
  39. 39.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 38 (c) 64 (d) 94
  40. 40.What is the average of all the whole numbers from 11 to 45? (a) 34 (b) 29 (c) 17 (d) 28

Answer key

  1. 49
  2. 31
  3. 63
  4. 27
  5. 103
  6. 23
  7. 98
  8. 32
  9. 61
  10. 53
  11. 52
  12. 59
  13. 56
  14. 28
  15. 71
  16. 74
  17. 46
  18. 40
  19. 7
  20. 88
  21. 77
  22. 39
  23. 49
  24. 26
  25. 23
  26. 53
  27. 35
  28. 24
  29. 43
  30. 130
  31. 51
  32. 64
  33. 25
  34. 18
  35. 72
  36. 30
  37. 49
  38. 27
  39. 94
  40. 28

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