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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 581 · 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 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 24 (c) 53 (d) 41
  2. 2.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 56 (c) 42 (d) 84
  3. 3.What is the average of 32, 47, 22 and 43? (a) 35 (b) 37 (c) 48 (d) 36
  4. 4.What is the average of 63, 57, 71 and 57? (a) 62 (b) 61 (c) 64 (d) 63
  5. 5.What is the average of 63, 83, 63, 83 and 53? (a) 69 (b) 71 (c) 68 (d) 70
  6. 6.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 40 (c) 28 (d) 20
  7. 7.What is the average of all the whole numbers from 10 to 22? (a) 6 (b) 12 (c) 16 (d) 17
  8. 8.What is the average of 67, 77, 64, 78 and 69? (a) 72 (b) 71 (c) 73 (d) 70
  9. 9.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 35 (b) 65 (c) 44 (d) 37
  10. 10.What is the average of all the whole numbers from 22 to 32? (a) 10 (b) 5 (c) 28 (d) 27
  11. 11.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 20 (c) 55 (d) 43
  12. 12.What is the average of all the whole numbers from 53 to 67? (a) 7 (b) 60 (c) 14 (d) 61
  13. 13.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 40 (c) 38 (d) 20
  14. 14.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 44? (a) 58 (b) 44 (c) 46 (d) 16
  15. 15.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 40 (c) 16 (d) 54
  16. 16.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 10 (b) 30 (c) 22 (d) 24
  17. 17.What is the average of 29, 42, 41 and 36? (a) 36 (b) 37 (c) 38 (d) 39
  18. 18.What is the average of 79, 84, 71, 91 and 75? (a) 81 (b) 79 (c) 100 (d) 80
  19. 19.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 31 (b) 26 (c) 6 (d) 51
  20. 20.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 59 (c) 53 (d) 12
  21. 21.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 41 (b) 32 (c) 12 (d) 61
  22. 22.What is the average of all the whole numbers from 36 to 44? (a) 4 (b) 41 (c) 40 (d) 8
  23. 23.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 33 (c) 45 (d) 16
  24. 24.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 95 (c) 15 (d) 61
  25. 25.What is the average of all the whole numbers from 54 to 90? (a) 72 (b) 36 (c) 73 (d) 18
  26. 26.What is the average of 66, 59, 64, 56, 59 and 74? (a) 65 (b) 64 (c) 63 (d) 62
  27. 27.What is the average of 23, 20, 48, 31 and 43? (a) 33 (b) 32 (c) 34 (d) 35
  28. 28.What is the average of 64, 63, 44 and 37? (a) 51 (b) 53 (c) 52 (d) 54
  29. 29.What is the average of 45, 19, 21, 20 and 60? (a) 34 (b) 32 (c) 33 (d) 35
  30. 30.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 45 (c) 50 (d) 44
  31. 31.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 27 (b) 38 (c) 78 (d) 26
  32. 32.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 3 (c) 49 (d) 2
  33. 33.What is the average of all the whole numbers from 18 to 50? (a) 34 (b) 16 (c) 32 (d) 35
  34. 34.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 40 (c) 47 (d) 79
  35. 35.What is the average of 9, 32, 38, 18, 13 and 28? (a) 25 (b) 24 (c) 23 (d) 22
  36. 36.What is the average of 34, 32, 47 and 75? (a) 49 (b) 46 (c) 48 (d) 47
  37. 37.What is the average of 71, 87, 67, 81 and 54? (a) 73 (b) 90 (c) 71 (d) 72
  38. 38.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 24 (b) 15 (c) 12 (d) 21
  39. 39.What is the average of 73, 78, 80, 71, 92 and 86? (a) 81 (b) 80 (c) 79 (d) 96
  40. 40.What is the average of all the whole numbers from 46 to 78? (a) 16 (b) 63 (c) 62 (d) 32

Answer key

  1. 53
  2. 84
  3. 36
  4. 62
  5. 69
  6. 40
  7. 16
  8. 71
  9. 65
  10. 27
  11. 55
  12. 60
  13. 38
  14. 58
  15. 54
  16. 30
  17. 37
  18. 80
  19. 31
  20. 59
  21. 41
  22. 40
  23. 45
  24. 61
  25. 72
  26. 63
  27. 33
  28. 52
  29. 33
  30. 44
  31. 26
  32. 2
  33. 34
  34. 79
  35. 23
  36. 47
  37. 72
  38. 24
  39. 80
  40. 62

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