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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 675 · 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 5 to 11? (a) 6 (b) 3 (c) 9 (d) 8
  2. 2.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 49 (c) 71 (d) 15
  3. 3.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 16 (b) 17 (c) 30 (d) 62
  4. 4.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 48 (b) 39 (c) 81 (d) 45
  5. 5.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 19 (c) 20 (d) 60
  6. 6.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 74 (c) 19 (d) 20
  7. 7.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 21 (b) 57 (c) 39 (d) 42
  8. 8.What is the average of 30, 26, 36, 18 and 30? (a) 29 (b) 27 (c) 28 (d) 35
  9. 9.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 52 (c) 60 (d) 12
  10. 10.What is the average of all the whole numbers from 27 to 33? (a) 31 (b) 30 (c) 3 (d) 6
  11. 11.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 31 (c) 16 (d) 23
  12. 12.What is the average of 35, 59, 43, 56, 38 and 69? (a) 60 (b) 49 (c) 50 (d) 51
  13. 13.What is the average of 66, 55, 78, 69 and 67? (a) 69 (b) 67 (c) 68 (d) 66
  14. 14.What is the average of 72, 64, 68, 86 and 90? (a) 76 (b) 77 (c) 75 (d) 95
  15. 15.What is the average of all the whole numbers from 58 to 76? (a) 67 (b) 18 (c) 9 (d) 68
  16. 16.What is the average of all the whole numbers from 10 to 46? (a) 28 (b) 29 (c) 18 (d) 36
  17. 17.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 40? (a) 58 (b) 24 (c) 40 (d) 46
  18. 18.What is the average of all the whole numbers from 17 to 51? (a) 17 (b) 35 (c) 33 (d) 34
  19. 19.What is the average of 57, 44, 43, 42 and 94? (a) 70 (b) 57 (c) 56 (d) 55
  20. 20.What is the average of all the whole numbers from 37 to 55? (a) 18 (b) 9 (c) 46 (d) 47
  21. 21.What is the average of 60, 68, 58 and 34? (a) 54 (b) 57 (c) 56 (d) 55
  22. 22.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 35 (c) 17 (d) 13
  23. 23.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 32 (c) 59 (d) 30
  24. 24.What is the average of all the whole numbers from 12 to 44? (a) 29 (b) 32 (c) 28 (d) 16
  25. 25.What is the average of all the whole numbers from 36 to 48? (a) 6 (b) 42 (c) 43 (d) 12
  26. 26.What is the average of 12, 10, 15, 19 and 64? (a) 25 (b) 24 (c) 23 (d) 30
  27. 27.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 63 (c) 12 (d) 62
  28. 28.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 83 (c) 42 (d) 4
  29. 29.What is the average of all the whole numbers from 38 to 76? (a) 58 (b) 57 (c) 19 (d) 38
  30. 30.What is the average of 63, 80, 83, 66 and 53? (a) 69 (b) 68 (c) 70 (d) 71
  31. 31.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 57 (c) 32 (d) 33
  32. 32.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 12 (c) 30 (d) 38
  33. 33.What is the average of 37, 44, 55, 47 and 62? (a) 50 (b) 48 (c) 49 (d) 51
  34. 34.What is the average of all the whole numbers from 39 to 75? (a) 36 (b) 58 (c) 18 (d) 57
  35. 35.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 45 (b) 51 (c) 89 (d) 7
  36. 36.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 41 (b) 28 (c) 40 (d) 16
  37. 37.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 55 (b) 30 (c) 35 (d) 56
  38. 38.What is the average of 25, 22, 20, 16 and 72? (a) 33 (b) 32 (c) 31 (d) 30
  39. 39.What is the average of 72, 56, 66 and 42? (a) 61 (b) 59 (c) 58 (d) 60
  40. 40.What is the average of all the whole numbers from 34 to 72? (a) 54 (b) 53 (c) 19 (d) 38

Answer key

  1. 8
  2. 49
  3. 16
  4. 81
  5. 19
  6. 19
  7. 57
  8. 28
  9. 60
  10. 30
  11. 23
  12. 50
  13. 67
  14. 76
  15. 67
  16. 28
  17. 58
  18. 34
  19. 56
  20. 46
  21. 55
  22. 12
  23. 59
  24. 28
  25. 42
  26. 24
  27. 62
  28. 45
  29. 57
  30. 69
  31. 57
  32. 38
  33. 49
  34. 57
  35. 51
  36. 40
  37. 55
  38. 31
  39. 59
  40. 53

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