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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 736 · 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 all the whole numbers from 55 to 73? (a) 65 (b) 9 (c) 64 (d) 18
  2. 2.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 62 (b) 85 (c) 21 (d) 44
  3. 3.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 33 (b) 12 (c) 45 (d) 24
  4. 4.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 101 (d) 42
  5. 5.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 13 (c) 27 (d) 12
  6. 6.What is the average of 32, 5, 30, 9 and 24? (a) 25 (b) 21 (c) 19 (d) 20
  7. 7.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 17 (c) 59 (d) 16
  8. 8.What is the average of 28, 38, 45, 26, 24 and 73? (a) 38 (b) 39 (c) 41 (d) 40
  9. 9.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 85 (b) 43 (c) 4 (d) 46
  10. 10.What is the average of 66, 62, 80, 89, 78 and 75? (a) 90 (b) 76 (c) 74 (d) 75
  11. 11.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 45 (c) 30 (d) 50
  12. 12.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 21 (c) 71 (d) 55
  13. 13.What is the average of 75, 61, 80 and 80? (a) 73 (b) 76 (c) 75 (d) 74
  14. 14.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 32 (c) 29 (d) 14
  15. 15.What is the average of 49, 36, 45, 34 and 61? (a) 46 (b) 47 (c) 45 (d) 44
  16. 16.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 15 (c) 14 (d) 30
  17. 17.What is the average of 10, 20, 23, 30, 22 and 33? (a) 25 (b) 23 (c) 24 (d) 22
  18. 18.What is the average of 37, 55, 54 and 50? (a) 51 (b) 50 (c) 48 (d) 49
  19. 19.What is the average of 35, 21, 35 and 41? (a) 32 (b) 34 (c) 33 (d) 44
  20. 20.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 24 (c) 74 (d) 62
  21. 21.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 27 (b) 32 (c) 56 (d) 35
  22. 22.What is the average of 54, 51, 39, 43, 61 and 46? (a) 50 (b) 48 (c) 51 (d) 49
  23. 23.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 6 (c) 7 (d) 13
  24. 24.What is the average of all the whole numbers from 11 to 21? (a) 17 (b) 10 (c) 16 (d) 5
  25. 25.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 49 (c) 21 (d) 32
  26. 26.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 30 (c) 35 (d) 10
  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 33 to 57? (a) 12 (b) 45 (c) 46 (d) 24
  29. 29.What is the average of 54, 36, 34, 56 and 40? (a) 44 (b) 55 (c) 43 (d) 45
  30. 30.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 46 (c) 34 (d) 24
  31. 31.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 10 (b) 88 (c) 45 (d) 53
  32. 32.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 32 (c) 77 (d) 49
  33. 33.What is the average of all the whole numbers from 28 to 34? (a) 31 (b) 32 (c) 3 (d) 6
  34. 34.What is the average of all the whole numbers from 5 to 23? (a) 9 (b) 15 (c) 18 (d) 14
  35. 35.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 67 (b) 56 (c) 109 (d) 60
  36. 36.What is the average of 28, 44, 40, 39, 30 and 65? (a) 42 (b) 41 (c) 40 (d) 43
  37. 37.What is the average of all the whole numbers from 43 to 83? (a) 64 (b) 40 (c) 20 (d) 63
  38. 38.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 28? (a) 42 (b) 35 (c) 63 (d) 28
  39. 39.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 31 (b) 28 (c) 63 (d) 29
  40. 40.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 52 (c) 27 (d) 32

Answer key

  1. 64
  2. 62
  3. 33
  4. 101
  5. 12
  6. 20
  7. 16
  8. 39
  9. 46
  10. 75
  11. 50
  12. 55
  13. 74
  14. 29
  15. 45
  16. 14
  17. 23
  18. 49
  19. 33
  20. 74
  21. 56
  22. 49
  23. 6
  24. 16
  25. 49
  26. 35
  27. 47
  28. 45
  29. 44
  30. 46
  31. 53
  32. 77
  33. 31
  34. 14
  35. 109
  36. 41
  37. 63
  38. 63
  39. 28
  40. 52

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