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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 97 · 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 5 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 27 (b) 42 (c) 88 (d) 26
  2. 2.What is the average of all the whole numbers from 11 to 27? (a) 19 (b) 20 (c) 16 (d) 8
  3. 3.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 49 (b) 3 (c) 2 (d) 22
  4. 4.What is the average of all the whole numbers from 20 to 60? (a) 41 (b) 39 (c) 40 (d) 20
  5. 5.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 83 (c) 60 (d) 29
  6. 6.What is the average of all the whole numbers from 16 to 28? (a) 12 (b) 22 (c) 23 (d) 6
  7. 7.What is the average of 63, 58, 45 and 58? (a) 57 (b) 58 (c) 56 (d) 55
  8. 8.What is the average of 19, 44, 35, 36, 39 and 7? (a) 31 (b) 30 (c) 29 (d) 36
  9. 9.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 66? (a) 42 (b) 101 (c) 66 (d) 73
  10. 10.What is the average of all the whole numbers from 13 to 51? (a) 19 (b) 32 (c) 38 (d) 33
  11. 11.What is the average of 83, 77, 77 and 75? (a) 77 (b) 79 (c) 78 (d) 104
  12. 12.What is the average of all the whole numbers from 41 to 47? (a) 45 (b) 3 (c) 6 (d) 44
  13. 13.What is the average of all the whole numbers from 54 to 90? (a) 18 (b) 72 (c) 73 (d) 36
  14. 14.What is the average of 15, 24, 28 and 49? (a) 30 (b) 29 (c) 31 (d) 28
  15. 15.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 34 (c) 83 (d) 63
  16. 16.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 59 (c) 15 (d) 68
  17. 17.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 36 (c) 35 (d) 65
  18. 18.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 15 (b) 35 (c) 38 (d) 47
  19. 19.What is the average of 28, 55, 46 and 31? (a) 41 (b) 39 (c) 42 (d) 40
  20. 20.What is the average of 92, 64, 90 and 62? (a) 77 (b) 76 (c) 79 (d) 78
  21. 21.What is the average of 51, 46, 67, 71, 60 and 65? (a) 72 (b) 60 (c) 61 (d) 59
  22. 22.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 62 (b) 46 (c) 32 (d) 38
  23. 23.What is the average of all the whole numbers from 16 to 34? (a) 25 (b) 18 (c) 26 (d) 9
  24. 24.What is the average of 76, 73, 55 and 48? (a) 62 (b) 84 (c) 63 (d) 64
  25. 25.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 20 (b) 77 (c) 41 (d) 56
  26. 26.What is the average of 11, 17, 17 and 39? (a) 28 (b) 20 (c) 22 (d) 21
  27. 27.What is the average of all the whole numbers from 51 to 71? (a) 20 (b) 62 (c) 10 (d) 61
  28. 28.What is the average of 29, 42, 30, 47, 37 and 7? (a) 34 (b) 32 (c) 33 (d) 31
  29. 29.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 48 (c) 96 (d) 64
  30. 30.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 30 (c) 46 (d) 21
  31. 31.What is the average of all the whole numbers from 29 to 55? (a) 13 (b) 26 (c) 42 (d) 43
  32. 32.What is the average of all the whole numbers from 49 to 71? (a) 11 (b) 60 (c) 22 (d) 61
  33. 33.What is the average of all the whole numbers from 46 to 64? (a) 9 (b) 56 (c) 18 (d) 55
  34. 34.What is the average of all the whole numbers from 35 to 73? (a) 54 (b) 38 (c) 19 (d) 55
  35. 35.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 57 (c) 43 (d) 28
  36. 36.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 50 (b) 49 (c) 94 (d) 54
  37. 37.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 31? (a) 31 (b) 63 (c) 87 (d) 38
  38. 38.What is the average of 80, 84, 63, 78 and 55? (a) 90 (b) 73 (c) 72 (d) 71
  39. 39.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) 45 (b) 21 (c) 51 (d) 27
  40. 40.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 120 (c) 60 (d) 66

Answer key

  1. 26
  2. 19
  3. 2
  4. 40
  5. 83
  6. 22
  7. 56
  8. 30
  9. 101
  10. 32
  11. 78
  12. 44
  13. 72
  14. 29
  15. 83
  16. 68
  17. 65
  18. 47
  19. 40
  20. 77
  21. 60
  22. 62
  23. 25
  24. 63
  25. 56
  26. 21
  27. 61
  28. 32
  29. 96
  30. 46
  31. 42
  32. 60
  33. 55
  34. 54
  35. 57
  36. 94
  37. 87
  38. 72
  39. 45
  40. 120

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