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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 992 · 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 24, 21, 29 and 26? (a) 27 (b) 25 (c) 24 (d) 26
  2. 2.What is the average of 73, 72, 90, 82 and 83? (a) 79 (b) 80 (c) 81 (d) 100
  3. 3.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 20 (c) 78 (d) 60
  4. 4.What is the average of 59, 55, 43, 64, 60 and 25? (a) 52 (b) 50 (c) 51 (d) 53
  5. 5.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 12 (c) 51 (d) 24
  6. 6.What is the average of all the whole numbers from 31 to 59? (a) 28 (b) 14 (c) 46 (d) 45
  7. 7.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 18 (b) 19 (c) 43 (d) 91
  8. 8.What is the average of all the whole numbers from 42 to 78? (a) 60 (b) 18 (c) 61 (d) 36
  9. 9.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 69 (b) 34 (c) 27 (d) 49
  10. 10.What is the average of all the whole numbers from 27 to 35? (a) 31 (b) 4 (c) 32 (d) 8
  11. 11.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 5 (b) 14 (c) 10 (d) 19
  12. 12.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 30 (b) 71 (c) 35 (d) 29
  13. 13.What is the average of 65, 62, 65 and 84? (a) 92 (b) 70 (c) 68 (d) 69
  14. 14.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 25 (b) 24 (c) 87 (d) 42
  15. 15.What is the average of all the whole numbers from 27 to 53? (a) 26 (b) 41 (c) 40 (d) 13
  16. 16.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 10 (c) 22 (d) 30
  17. 17.What is the average of 66, 60, 79, 75 and 90? (a) 75 (b) 73 (c) 74 (d) 76
  18. 18.What is the average of 78, 57, 65, 65 and 80? (a) 70 (b) 71 (c) 68 (d) 69
  19. 19.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 16 (c) 28 (d) 8
  20. 20.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 37 (c) 38 (d) 42
  21. 21.What is the average of 66, 58, 62 and 54? (a) 61 (b) 59 (c) 60 (d) 80
  22. 22.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) 32 (b) 30 (c) 35 (d) 59
  23. 23.What is the average of all the whole numbers from 7 to 25? (a) 17 (b) 16 (c) 9 (d) 18
  24. 24.What is the average of 43, 42, 44, 61, 63 and 47? (a) 49 (b) 60 (c) 50 (d) 51
  25. 25.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 56 (c) 85 (d) 37
  26. 26.What is the average of 57, 48, 47, 75 and 78? (a) 62 (b) 60 (c) 61 (d) 63
  27. 27.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 15 (c) 27 (d) 36
  28. 28.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 71 (c) 27 (d) 50
  29. 29.What is the average of all the whole numbers from 24 to 34? (a) 30 (b) 5 (c) 10 (d) 29
  30. 30.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) 89 (b) 61 (c) 35 (d) 68
  31. 31.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 28 (b) 50 (c) 46 (d) 70
  32. 32.What is the average of 19, 41, 38, 33, 17 and 14? (a) 27 (b) 28 (c) 26 (d) 29
  33. 33.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 42 (c) 20 (d) 57
  34. 34.What is the average of all the whole numbers from 46 to 82? (a) 18 (b) 65 (c) 36 (d) 64
  35. 35.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 61? (a) 12 (b) 63 (c) 61 (d) 71
  36. 36.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
  37. 37.What is the average of 66, 70, 46 and 38? (a) 57 (b) 54 (c) 55 (d) 56
  38. 38.What is the average of all the whole numbers from 9 to 37? (a) 28 (b) 24 (c) 14 (d) 23
  39. 39.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 55 (c) 31 (d) 28
  40. 40.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 16 (c) 24 (d) 38

Answer key

  1. 25
  2. 80
  3. 78
  4. 51
  5. 50
  6. 45
  7. 18
  8. 60
  9. 69
  10. 31
  11. 14
  12. 29
  13. 69
  14. 24
  15. 40
  16. 30
  17. 74
  18. 69
  19. 28
  20. 37
  21. 60
  22. 59
  23. 16
  24. 50
  25. 85
  26. 61
  27. 36
  28. 71
  29. 29
  30. 89
  31. 70
  32. 27
  33. 57
  34. 64
  35. 71
  36. 49
  37. 55
  38. 23
  39. 55
  40. 38

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