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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 422 · 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 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 42 (b) 58 (c) 86 (d) 51
  2. 2.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) 117 (c) 60 (d) 63
  3. 3.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 32 (b) 33 (c) 37 (d) 75
  4. 4.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 127 (b) 126 (c) 70 (d) 63
  5. 5.What is the average of all the whole numbers from 54 to 62? (a) 59 (b) 8 (c) 4 (d) 58
  6. 6.What is the average of all the whole numbers from 54 to 92? (a) 19 (b) 38 (c) 74 (d) 73
  7. 7.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 63 (b) 40 (c) 31 (d) 39
  8. 8.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 32 (b) 61 (c) 37 (d) 45
  9. 9.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 8 (b) 36 (c) 38 (d) 42
  10. 10.What is the average of all the whole numbers from 43 to 73? (a) 58 (b) 30 (c) 59 (d) 15
  11. 11.What is the average of all the whole numbers from 45 to 71? (a) 13 (b) 58 (c) 26 (d) 59
  12. 12.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 10 (c) 40 (d) 46
  13. 13.What is the average of all the whole numbers from 35 to 47? (a) 41 (b) 6 (c) 12 (d) 42
  14. 14.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 23 (d) 42
  15. 15.What is the average of all the whole numbers from 44 to 72? (a) 28 (b) 14 (c) 58 (d) 59
  16. 16.What is the average of all the whole numbers from 16 to 24? (a) 20 (b) 4 (c) 8 (d) 21
  17. 17.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 32 (c) 54 (d) 74
  18. 18.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 9 (c) 18 (d) 53
  19. 19.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 24 (b) 74 (c) 59 (d) 39
  20. 20.What is the average of 18, 27, 23, 42, 21 and 37? (a) 29 (b) 27 (c) 30 (d) 28
  21. 21.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 58 (c) 37 (d) 24
  22. 22.What is the average of all the whole numbers from 12 to 20? (a) 4 (b) 17 (c) 8 (d) 16
  23. 23.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 29 (c) 35 (d) 72
  24. 24.What is the average of 63, 70, 55 and 64? (a) 62 (b) 64 (c) 63 (d) 84
  25. 25.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 8 (d) 9
  26. 26.What is the average of 5, 29, 12 and 34? (a) 22 (b) 19 (c) 20 (d) 21
  27. 27.What is the average of all the whole numbers from 30 to 64? (a) 47 (b) 48 (c) 17 (d) 34
  28. 28.What is the average of all the whole numbers from 18 to 54? (a) 36 (b) 35 (c) 37 (d) 18
  29. 29.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 45 (c) 24 (d) 63
  30. 30.What is the average of all the whole numbers from 26 to 66? (a) 46 (b) 20 (c) 40 (d) 47
  31. 31.What is the average of all the whole numbers from 23 to 61? (a) 43 (b) 19 (c) 42 (d) 38
  32. 32.What is the average of 59, 88, 78, 84 and 56? (a) 72 (b) 74 (c) 75 (d) 73
  33. 33.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 16 (c) 76 (d) 52
  34. 34.What is the average of 87, 77, 64, 91 and 61? (a) 75 (b) 95 (c) 76 (d) 77
  35. 35.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 25 (c) 30 (d) 24
  36. 36.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 45? (a) 51 (b) 8 (c) 45 (d) 47
  37. 37.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 42 (c) 71 (d) 101
  38. 38.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 60? (a) 64 (b) 16 (c) 60 (d) 72
  39. 39.What is the average of 11, 36, 8 and 37? (a) 25 (b) 22 (c) 23 (d) 24
  40. 40.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 39 (b) 16 (c) 50 (d) 27

Answer key

  1. 86
  2. 117
  3. 32
  4. 126
  5. 58
  6. 73
  7. 63
  8. 61
  9. 42
  10. 58
  11. 58
  12. 46
  13. 41
  14. 39
  15. 58
  16. 20
  17. 74
  18. 53
  19. 59
  20. 28
  21. 58
  22. 16
  23. 29
  24. 63
  25. 8
  26. 20
  27. 47
  28. 36
  29. 63
  30. 46
  31. 42
  32. 73
  33. 52
  34. 76
  35. 24
  36. 51
  37. 101
  38. 72
  39. 23
  40. 39

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