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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 271 · 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 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 13 (b) 33 (c) 71 (d) 14
  2. 2.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 94 (b) 56 (c) 48 (d) 10
  3. 3.What is the average of all the whole numbers from 12 to 34? (a) 24 (b) 23 (c) 22 (d) 11
  4. 4.What is the average of all the whole numbers from 26 to 58? (a) 43 (b) 42 (c) 32 (d) 16
  5. 5.What is the average of all the whole numbers from 21 to 51? (a) 30 (b) 15 (c) 37 (d) 36
  6. 6.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 64 (b) 122 (c) 74 (d) 66
  7. 7.What is the average of 32, 33, 41, 26, 22 and 62? (a) 38 (b) 35 (c) 36 (d) 37
  8. 8.What is the average of 68, 73, 80, 77, 76 and 34? (a) 68 (b) 70 (c) 67 (d) 69
  9. 9.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 51? (a) 58 (b) 51 (c) 114 (d) 70
  10. 10.What is the average of 57, 63, 53 and 47? (a) 56 (b) 54 (c) 57 (d) 55
  11. 11.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 21 (b) 20 (c) 26 (d) 54
  12. 12.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 35 (b) 45 (c) 50 (d) 75
  13. 13.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 27 (b) 28 (c) 52 (d) 31
  14. 14.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 49? (a) 55 (b) 48 (c) 91 (d) 49
  15. 15.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 8 (c) 22 (d) 28
  16. 16.What is the average of 13, 16, 14 and 37? (a) 21 (b) 19 (c) 20 (d) 22
  17. 17.What is the average of all the whole numbers from 27 to 41? (a) 34 (b) 35 (c) 14 (d) 7
  18. 18.What is the average of 44, 27, 45, 22 and 42? (a) 45 (b) 36 (c) 37 (d) 35
  19. 19.What is the average of 73, 63, 59, 73 and 52? (a) 80 (b) 65 (c) 63 (d) 64
  20. 20.What is the average of all the whole numbers from 16 to 40? (a) 29 (b) 12 (c) 24 (d) 28
  21. 21.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 36 (b) 30 (c) 11 (d) 17
  22. 22.What is the average of 17, 20, 31, 16, 14 and 40? (a) 23 (b) 24 (c) 22 (d) 25
  23. 23.What is the average of 46, 47, 42, 48 and 22? (a) 40 (b) 41 (c) 43 (d) 42
  24. 24.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 74 (b) 46 (c) 42 (d) 39
  25. 25.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 31 (c) 29 (d) 10
  26. 26.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 17 (c) 4 (d) 20
  27. 27.What is the average of all the whole numbers from 45 to 83? (a) 19 (b) 38 (c) 65 (d) 64
  28. 28.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 66 (b) 20 (c) 51 (d) 56
  29. 29.What is the average of 43, 44, 50, 66, 51 and 76? (a) 66 (b) 55 (c) 54 (d) 56
  30. 30.What is the average of 29, 34, 55 and 46? (a) 43 (b) 41 (c) 42 (d) 40
  31. 31.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 4 (b) 41 (c) 24 (d) 21
  32. 32.What is the average of all the whole numbers from 13 to 27? (a) 21 (b) 14 (c) 20 (d) 7
  33. 33.What is the average of all the whole numbers from 23 to 31? (a) 8 (b) 4 (c) 27 (d) 28
  34. 34.What is the average of all the whole numbers from 25 to 35? (a) 10 (b) 30 (c) 31 (d) 5
  35. 35.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 68 (b) 14 (c) 58 (d) 56
  36. 36.What is the average of 26, 17, 33 and 24? (a) 24 (b) 25 (c) 26 (d) 27
  37. 37.What is the average of all the whole numbers from 58 to 64? (a) 3 (b) 61 (c) 62 (d) 6
  38. 38.What is the average of all the whole numbers from 27 to 53? (a) 26 (b) 13 (c) 40 (d) 41
  39. 39.What is the average of 26, 53, 43, 26 and 52? (a) 40 (b) 39 (c) 50 (d) 41
  40. 40.What is the average of all the whole numbers from 50 to 70? (a) 60 (b) 20 (c) 10 (d) 61

Answer key

  1. 13
  2. 56
  3. 23
  4. 42
  5. 36
  6. 122
  7. 36
  8. 68
  9. 114
  10. 55
  11. 20
  12. 75
  13. 52
  14. 91
  15. 28
  16. 20
  17. 34
  18. 36
  19. 64
  20. 28
  21. 36
  22. 23
  23. 41
  24. 74
  25. 37
  26. 20
  27. 64
  28. 66
  29. 55
  30. 41
  31. 24
  32. 20
  33. 27
  34. 30
  35. 68
  36. 25
  37. 61
  38. 40
  39. 40
  40. 60

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