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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 424 · 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 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 27 (b) 37 (c) 34 (d) 58
  2. 2.What is the average of all the whole numbers from 48 to 62? (a) 14 (b) 55 (c) 56 (d) 7
  3. 3.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 46 (c) 8 (d) 30
  4. 4.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 35 (c) 40 (d) 24
  5. 5.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 8 (b) 49 (c) 53 (d) 47
  6. 6.What is the average of 49, 73, 51, 66 and 76? (a) 65 (b) 63 (c) 62 (d) 64
  7. 7.What is the average of 27, 12, 38, 30 and 8? (a) 24 (b) 23 (c) 22 (d) 25
  8. 8.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 81 (b) 41 (c) 45 (d) 5
  9. 9.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 89 (c) 24 (d) 67
  10. 10.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 85 (c) 75 (d) 45
  11. 11.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 24 (b) 54 (c) 50 (d) 70
  12. 12.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 12 (c) 36 (d) 28
  13. 13.What is the average of all the whole numbers from 25 to 57? (a) 42 (b) 16 (c) 32 (d) 41
  14. 14.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 14 (c) 32 (d) 38
  15. 15.What is the average of all the whole numbers from 38 to 52? (a) 7 (b) 45 (c) 14 (d) 46
  16. 16.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 57 (b) 35 (c) 27 (d) 49
  17. 17.What is the average of all the whole numbers from 7 to 25? (a) 9 (b) 17 (c) 18 (d) 16
  18. 18.What is the average of all the whole numbers from 7 to 17? (a) 10 (b) 12 (c) 5 (d) 13
  19. 19.What is the average of 31, 26, 36, 50, 45 and 28? (a) 37 (b) 35 (c) 38 (d) 36
  20. 20.What is the average of 66, 53, 51, 71 and 74? (a) 65 (b) 64 (c) 63 (d) 62
  21. 21.What is the average of 23, 21, 22, 27, 20 and 97? (a) 36 (b) 42 (c) 34 (d) 35
  22. 22.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 24 (c) 43 (d) 20
  23. 23.What is the average of all the whole numbers from 33 to 57? (a) 12 (b) 24 (c) 45 (d) 46
  24. 24.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 14 (b) 35 (c) 37 (d) 47
  25. 25.What is the average of 66, 63, 72, 59, 59 and 101? (a) 84 (b) 70 (c) 69 (d) 71
  26. 26.What is the average of 44, 51, 23, 32 and 40? (a) 39 (b) 37 (c) 40 (d) 38
  27. 27.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 34? (a) 38 (b) 58 (c) 28 (d) 34
  28. 28.What is the average of all the whole numbers from 39 to 51? (a) 6 (b) 45 (c) 12 (d) 46
  29. 29.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 12 (b) 26 (c) 24 (d) 14
  30. 30.What is the average of 52, 45, 38, 34, 38 and 81? (a) 48 (b) 49 (c) 50 (d) 47
  31. 31.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 114 (b) 58 (c) 63 (d) 65
  32. 32.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 10 (c) 67 (d) 20
  33. 33.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 10 (d) 32
  34. 34.What is the average of all the whole numbers from 11 to 37? (a) 13 (b) 25 (c) 24 (d) 26
  35. 35.What is the average of 18, 10, 22, 10, 17 and 67? (a) 24 (b) 26 (c) 23 (d) 25
  36. 36.What is the average of 55, 57, 59 and 69? (a) 59 (b) 60 (c) 61 (d) 80
  37. 37.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 60 (c) 38 (d) 92
  38. 38.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 16 (b) 35 (c) 39 (d) 47
  39. 39.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 45 (b) 39 (c) 12 (d) 36
  40. 40.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 59 (b) 35 (c) 43 (d) 32

Answer key

  1. 58
  2. 55
  3. 30
  4. 40
  5. 53
  6. 63
  7. 23
  8. 45
  9. 67
  10. 75
  11. 70
  12. 36
  13. 41
  14. 32
  15. 45
  16. 57
  17. 16
  18. 12
  19. 36
  20. 63
  21. 35
  22. 39
  23. 45
  24. 47
  25. 70
  26. 38
  27. 58
  28. 45
  29. 24
  30. 48
  31. 114
  32. 67
  33. 32
  34. 24
  35. 24
  36. 60
  37. 92
  38. 47
  39. 45
  40. 59

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