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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 929 · 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 6 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 98 (b) 12 (c) 60 (d) 50
  2. 2.What is the average of 93, 93, 87, 73 and 44? (a) 78 (b) 79 (c) 80 (d) 77
  3. 3.What is the average of 40, 18, 31, 30 and 36? (a) 31 (b) 33 (c) 32 (d) 30
  4. 4.What is the average of all the whole numbers from 7 to 45? (a) 38 (b) 19 (c) 26 (d) 27
  5. 5.What is the average of all the whole numbers from 12 to 38? (a) 24 (b) 25 (c) 26 (d) 13
  6. 6.What is the average of 17, 15, 31 and 57? (a) 29 (b) 31 (c) 40 (d) 30
  7. 7.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 31 (b) 58 (c) 20 (d) 47
  8. 8.What is the average of 23, 14, 32 and 23? (a) 23 (b) 24 (c) 22 (d) 25
  9. 9.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 37 (c) 20 (d) 38
  10. 10.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 40 (c) 38 (d) 39
  11. 11.What is the average of all the whole numbers from 41 to 73? (a) 57 (b) 32 (c) 58 (d) 16
  12. 12.What is the average of 20, 32, 25, 21, 26 and 44? (a) 30 (b) 28 (c) 27 (d) 29
  13. 13.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 36 (c) 44 (d) 18
  14. 14.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 23 (c) 20 (d) 21
  15. 15.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 65 (c) 27 (d) 86
  16. 16.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 90 (b) 55 (c) 48 (d) 49
  17. 17.What is the average of all the whole numbers from 9 to 37? (a) 24 (b) 23 (c) 28 (d) 14
  18. 18.What is the average of all the whole numbers from 49 to 65? (a) 16 (b) 8 (c) 58 (d) 57
  19. 19.What is the average of all the whole numbers from 20 to 42? (a) 32 (b) 22 (c) 11 (d) 31
  20. 20.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 87 (b) 52 (c) 59 (d) 42
  21. 21.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 42 (c) 58 (d) 44
  22. 22.What is the average of all the whole numbers from 15 to 25? (a) 10 (b) 5 (c) 21 (d) 20
  23. 23.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 7 (c) 6 (d) 72
  24. 24.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 41 (c) 34 (d) 35
  25. 25.What is the average of all the whole numbers from 53 to 75? (a) 22 (b) 64 (c) 11 (d) 65
  26. 26.What is the average of 50, 34, 39, 59 and 48? (a) 46 (b) 47 (c) 48 (d) 45
  27. 27.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 34 (b) 42 (c) 86 (d) 35
  28. 28.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 98 (c) 63 (d) 49
  29. 29.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 35 (b) 72 (c) 51 (d) 44
  30. 30.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 51 (b) 41 (c) 14 (d) 39
  31. 31.What is the average of 34, 49, 45, 21, 19 and 36? (a) 33 (b) 35 (c) 34 (d) 36
  32. 32.What is the average of all the whole numbers from 26 to 44? (a) 18 (b) 9 (c) 35 (d) 36
  33. 33.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 42 (c) 12 (d) 52
  34. 34.What is the average of 62, 46, 48, 67, 46 and 73? (a) 56 (b) 57 (c) 58 (d) 59
  35. 35.What is the average of 75, 59, 65, 73, 47 and 47? (a) 60 (b) 61 (c) 62 (d) 63
  36. 36.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 54 (b) 81 (c) 33 (d) 39
  37. 37.What is the average of all the whole numbers from 51 to 71? (a) 61 (b) 20 (c) 10 (d) 62
  38. 38.What is the average of all the whole numbers from 31 to 47? (a) 8 (b) 39 (c) 40 (d) 16
  39. 39.What is the average of all the whole numbers from 37 to 69? (a) 54 (b) 32 (c) 16 (d) 53
  40. 40.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 89 (b) 56 (c) 48 (d) 88

Answer key

  1. 60
  2. 78
  3. 31
  4. 26
  5. 25
  6. 30
  7. 47
  8. 23
  9. 37
  10. 39
  11. 57
  12. 28
  13. 44
  14. 20
  15. 86
  16. 90
  17. 23
  18. 57
  19. 31
  20. 87
  21. 58
  22. 20
  23. 6
  24. 34
  25. 64
  26. 46
  27. 34
  28. 98
  29. 72
  30. 51
  31. 34
  32. 35
  33. 52
  34. 57
  35. 61
  36. 81
  37. 61
  38. 39
  39. 53
  40. 88

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