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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 918 · 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.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 61 (b) 37 (c) 28 (d) 70
  2. 2.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 17 (b) 39 (c) 16 (d) 19
  3. 3.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 39 (b) 36 (c) 18 (d) 51
  4. 4.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 4 (b) 27 (c) 47 (d) 24
  5. 5.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 76 (b) 62 (c) 60 (d) 18
  6. 6.What is the average of 54, 79, 58 and 69? (a) 64 (b) 65 (c) 67 (d) 66
  7. 7.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 14 (c) 46 (d) 15
  8. 8.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 77 (b) 20 (c) 61 (d) 65
  9. 9.What is the average of all the whole numbers from 32 to 56? (a) 45 (b) 24 (c) 12 (d) 44
  10. 10.What is the average of all the whole numbers from 23 to 37? (a) 31 (b) 14 (c) 30 (d) 7
  11. 11.What is the average of 32, 31, 49, 40, 42 and 46? (a) 48 (b) 39 (c) 40 (d) 41
  12. 12.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 87 (c) 4 (d) 44
  13. 13.What is the average of all the whole numbers from 5 to 25? (a) 16 (b) 20 (c) 15 (d) 10
  14. 14.What is the average of 52, 50, 59, 79 and 80? (a) 63 (b) 64 (c) 65 (d) 80
  15. 15.What is the average of 38, 41, 46 and 7? (a) 34 (b) 32 (c) 44 (d) 33
  16. 16.What is the average of all the whole numbers from 40 to 68? (a) 55 (b) 14 (c) 28 (d) 54
  17. 17.What is the average of 49, 46, 76 and 73? (a) 61 (b) 60 (c) 63 (d) 62
  18. 18.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 18 (b) 61 (c) 75 (d) 59
  19. 19.What is the average of 62, 67, 55 and 80? (a) 88 (b) 67 (c) 65 (d) 66
  20. 20.What is the average of all the whole numbers from 42 to 78? (a) 18 (b) 61 (c) 36 (d) 60
  21. 21.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 58 (b) 56 (c) 100 (d) 51
  22. 22.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 72 (c) 96 (d) 32
  23. 23.What is the average of 39, 52, 43, 58 and 68? (a) 65 (b) 52 (c) 51 (d) 53
  24. 24.What is the average of all the whole numbers from 50 to 58? (a) 8 (b) 4 (c) 55 (d) 54
  25. 25.What is the average of all the whole numbers from 21 to 41? (a) 20 (b) 10 (c) 32 (d) 31
  26. 26.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 29 (c) 13 (d) 22
  27. 27.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 56 (c) 77 (d) 35
  28. 28.What is the average of 76, 69, 80, 56, 79 and 42? (a) 67 (b) 69 (c) 66 (d) 68
  29. 29.What is the average of all the whole numbers from 9 to 39? (a) 30 (b) 15 (c) 24 (d) 25
  30. 30.What is the average of all the whole numbers from 33 to 49? (a) 8 (b) 16 (c) 42 (d) 41
  31. 31.What is the average of 40, 34, 28, 16 and 7? (a) 27 (b) 25 (c) 26 (d) 24
  32. 32.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 47 (b) 33 (c) 99 (d) 32
  33. 33.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 40 (b) 74 (c) 98 (d) 66
  34. 34.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 18 (b) 35 (c) 38 (d) 50
  35. 35.What is the average of all the whole numbers from 18 to 38? (a) 20 (b) 29 (c) 28 (d) 10
  36. 36.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 12 (c) 39 (d) 40
  37. 37.What is the average of 27, 19, 14, 28 and 37? (a) 25 (b) 24 (c) 26 (d) 27
  38. 38.What is the average of 52, 48, 49, 39, 59 and 23? (a) 54 (b) 44 (c) 45 (d) 46
  39. 39.What is the average of 47, 67, 48, 44 and 89? (a) 58 (b) 59 (c) 61 (d) 60
  40. 40.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 20 (c) 52 (d) 53

Answer key

  1. 61
  2. 16
  3. 51
  4. 27
  5. 76
  6. 65
  7. 14
  8. 77
  9. 44
  10. 30
  11. 40
  12. 47
  13. 15
  14. 64
  15. 33
  16. 54
  17. 61
  18. 75
  19. 66
  20. 60
  21. 100
  22. 96
  23. 52
  24. 54
  25. 31
  26. 29
  27. 77
  28. 67
  29. 24
  30. 41
  31. 25
  32. 32
  33. 98
  34. 50
  35. 28
  36. 39
  37. 25
  38. 45
  39. 59
  40. 52

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