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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 940 · 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 58 to 74? (a) 67 (b) 16 (c) 66 (d) 8
  2. 2.What is the average of all the whole numbers from 43 to 61? (a) 9 (b) 52 (c) 53 (d) 18
  3. 3.What is the average of all the whole numbers from 42 to 68? (a) 56 (b) 55 (c) 26 (d) 13
  4. 4.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 62 (b) 36 (c) 58 (d) 90
  5. 5.What is the average of all the whole numbers from 54 to 92? (a) 74 (b) 19 (c) 38 (d) 73
  6. 6.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 35 (c) 89 (d) 68
  7. 7.What is the average of all the whole numbers from 5 to 45? (a) 40 (b) 20 (c) 25 (d) 26
  8. 8.What is the average of all the whole numbers from 42 to 66? (a) 12 (b) 55 (c) 24 (d) 54
  9. 9.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 85 (b) 47 (c) 43 (d) 5
  10. 10.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 42 (c) 47 (d) 95
  11. 11.What is the average of 53, 48, 39, 34, 50 and 58? (a) 48 (b) 46 (c) 47 (d) 49
  12. 12.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 35 (c) 51 (d) 58
  13. 13.What is the average of 55, 49, 69, 71, 71 and 51? (a) 62 (b) 63 (c) 60 (d) 61
  14. 14.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 106 (c) 66 (d) 56
  15. 15.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 32 (c) 31 (d) 9
  16. 16.What is the average of 88, 94, 77, 84 and 57? (a) 100 (b) 81 (c) 79 (d) 80
  17. 17.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 24 (b) 10 (c) 17 (d) 31
  18. 18.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 56 (b) 15 (c) 26 (d) 14
  19. 19.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 36 (c) 42 (d) 8
  20. 20.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 12 (c) 43 (d) 33
  21. 21.What is the average of all the whole numbers from 19 to 43? (a) 24 (b) 31 (c) 12 (d) 32
  22. 22.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 14 (b) 34 (c) 66 (d) 46
  23. 23.What is the average of 61, 51, 61, 44, 42 and 83? (a) 56 (b) 58 (c) 57 (d) 59
  24. 24.What is the average of all the whole numbers from 29 to 37? (a) 4 (b) 34 (c) 33 (d) 8
  25. 25.What is the average of 69, 59, 57 and 47? (a) 58 (b) 60 (c) 59 (d) 57
  26. 26.What is the average of 61, 82, 62, 62, 70 and 83? (a) 84 (b) 71 (c) 70 (d) 69
  27. 27.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 40 (c) 30 (d) 65
  28. 28.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 30 (c) 75 (d) 95
  29. 29.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 39 (c) 63 (d) 27
  30. 30.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 9 (b) 10 (c) 33 (d) 16
  31. 31.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 34 (b) 31 (c) 49 (d) 21
  32. 32.What is the average of 30, 27, 42 and 9? (a) 28 (b) 27 (c) 26 (d) 36
  33. 33.What is the average of 37, 47, 38, 40 and 38? (a) 50 (b) 41 (c) 39 (d) 40
  34. 34.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 30 (b) 41 (c) 65 (d) 38
  35. 35.What is the average of all the whole numbers from 22 to 32? (a) 10 (b) 27 (c) 28 (d) 5
  36. 36.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 114 (b) 58 (c) 64 (d) 66
  37. 37.What is the average of all the whole numbers from 26 to 64? (a) 38 (b) 45 (c) 46 (d) 19
  38. 38.What is the average of 59, 36, 41, 44 and 75? (a) 52 (b) 53 (c) 50 (d) 51
  39. 39.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 42 (b) 92 (c) 64 (d) 57
  40. 40.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 16 (c) 41 (d) 49

Answer key

  1. 66
  2. 52
  3. 55
  4. 90
  5. 73
  6. 89
  7. 25
  8. 54
  9. 47
  10. 42
  11. 47
  12. 58
  13. 61
  14. 106
  15. 31
  16. 80
  17. 31
  18. 14
  19. 42
  20. 43
  21. 31
  22. 46
  23. 57
  24. 33
  25. 58
  26. 70
  27. 65
  28. 75
  29. 63
  30. 9
  31. 49
  32. 27
  33. 40
  34. 65
  35. 27
  36. 114
  37. 45
  38. 51
  39. 92
  40. 49

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