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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 855 · 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.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 48 (c) 75 (d) 33
  2. 2.What is the average of 33, 55, 42, 32, 31 and 77? (a) 46 (b) 45 (c) 44 (d) 54
  3. 3.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 63 (b) 109 (c) 53 (d) 60
  4. 4.What is the average of all the whole numbers from 45 to 75? (a) 60 (b) 30 (c) 15 (d) 61
  5. 5.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 47 (c) 24 (d) 25
  6. 6.What is the average of all the whole numbers from 51 to 63? (a) 12 (b) 58 (c) 57 (d) 6
  7. 7.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 33? (a) 105 (b) 41 (c) 33 (d) 80
  8. 8.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 82 (b) 40 (c) 54 (d) 34
  9. 9.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 64 (c) 32 (d) 40
  10. 10.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 111 (b) 56 (c) 69 (d) 62
  11. 11.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 38 (b) 30 (c) 29 (d) 79
  12. 12.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 8 (c) 47 (d) 80
  13. 13.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 12 (c) 9 (d) 10
  14. 14.What is the average of all the whole numbers from 32 to 64? (a) 16 (b) 48 (c) 32 (d) 49
  15. 15.What is the average of 17, 16, 40, 12 and 45? (a) 27 (b) 25 (c) 26 (d) 28
  16. 16.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 23 (b) 66 (c) 22 (d) 32
  17. 17.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 20 (c) 31 (d) 19
  18. 18.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 38? (a) 38 (b) 30 (c) 43 (d) 63
  19. 19.What is the average of all the whole numbers from 18 to 38? (a) 10 (b) 28 (c) 20 (d) 29
  20. 20.What is the average of all the whole numbers from 55 to 89? (a) 34 (b) 17 (c) 73 (d) 72
  21. 21.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 60 (b) 33 (c) 81 (d) 27
  22. 22.What is the average of all the whole numbers from 13 to 39? (a) 27 (b) 13 (c) 25 (d) 26
  23. 23.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 53 (c) 83 (d) 40
  24. 24.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 12 (c) 49 (d) 24
  25. 25.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 7 (c) 15 (d) 33
  26. 26.What is the average of all the whole numbers from 26 to 66? (a) 40 (b) 47 (c) 20 (d) 46
  27. 27.What is the average of all the whole numbers from 22 to 30? (a) 4 (b) 27 (c) 8 (d) 26
  28. 28.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 30 (b) 55 (c) 61 (d) 79
  29. 29.What is the average of 77, 55, 82, 69, 72 and 65? (a) 71 (b) 70 (c) 84 (d) 69
  30. 30.What is the average of 54, 46, 40, 63 and 67? (a) 53 (b) 54 (c) 55 (d) 56
  31. 31.What is the average of 48, 55, 63, 71, 45 and 66? (a) 59 (b) 58 (c) 57 (d) 60
  32. 32.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 33 (c) 51 (d) 21
  33. 33.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 40 (c) 64 (d) 96
  34. 34.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
  35. 35.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 21 (b) 27 (c) 45 (d) 51
  36. 36.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 28 (c) 32 (d) 52
  37. 37.What is the average of 17, 18, 15, 14, 15 and 83? (a) 27 (b) 29 (c) 28 (d) 26
  38. 38.What is the average of all the whole numbers from 32 to 44? (a) 38 (b) 39 (c) 12 (d) 6
  39. 39.What is the average of all the whole numbers from 40 to 68? (a) 14 (b) 28 (c) 54 (d) 55
  40. 40.What is the average of all the whole numbers from 59 to 71? (a) 65 (b) 6 (c) 66 (d) 12

Answer key

  1. 75
  2. 45
  3. 109
  4. 60
  5. 46
  6. 57
  7. 105
  8. 82
  9. 64
  10. 111
  11. 29
  12. 47
  13. 9
  14. 48
  15. 26
  16. 22
  17. 19
  18. 63
  19. 28
  20. 72
  21. 81
  22. 26
  23. 83
  24. 48
  25. 6
  26. 46
  27. 26
  28. 79
  29. 70
  30. 54
  31. 58
  32. 51
  33. 96
  34. 86
  35. 45
  36. 52
  37. 27
  38. 38
  39. 54
  40. 65

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