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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 188 · 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 79, 80, 90, 70 and 81? (a) 80 (b) 100 (c) 79 (d) 81
  2. 2.What is the average of all the whole numbers from 17 to 49? (a) 16 (b) 34 (c) 33 (d) 32
  3. 3.What is the average of 28, 32, 50 and 34? (a) 37 (b) 48 (c) 36 (d) 35
  4. 4.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 25? (a) 25 (b) 30 (c) 65 (d) 45
  5. 5.What is the average of all the whole numbers from 59 to 71? (a) 6 (b) 12 (c) 65 (d) 66
  6. 6.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 21 (b) 29 (c) 15 (d) 7
  7. 7.What is the average of all the whole numbers from 6 to 44? (a) 26 (b) 19 (c) 38 (d) 25
  8. 8.What is the average of 78, 79, 60, 61 and 67? (a) 70 (b) 69 (c) 68 (d) 71
  9. 9.What is the average of 53, 43, 60, 45, 49 and 38? (a) 50 (b) 49 (c) 47 (d) 48
  10. 10.What is the average of all the whole numbers from 49 to 61? (a) 12 (b) 6 (c) 56 (d) 55
  11. 11.What is the average of 42, 23, 20 and 43? (a) 33 (b) 31 (c) 34 (d) 32
  12. 12.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 17 (c) 25 (d) 16
  13. 13.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 37? (a) 42 (b) 37 (c) 30 (d) 62
  14. 14.What is the average of all the whole numbers from 8 to 48? (a) 20 (b) 40 (c) 29 (d) 28
  15. 15.What is the average of all the whole numbers from 53 to 59? (a) 3 (b) 56 (c) 57 (d) 6
  16. 16.What is the average of 74, 50, 60 and 72? (a) 66 (b) 64 (c) 65 (d) 63
  17. 17.What is the average of all the whole numbers from 26 to 36? (a) 32 (b) 31 (c) 5 (d) 10
  18. 18.What is the average of 63, 58, 54, 54 and 61? (a) 60 (b) 59 (c) 57 (d) 58
  19. 19.What is the average of 61, 47, 64, 51, 74 and 75? (a) 63 (b) 62 (c) 64 (d) 61
  20. 20.What is the average of all the whole numbers from 49 to 63? (a) 57 (b) 7 (c) 14 (d) 56
  21. 21.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 52 (b) 27 (c) 35 (d) 10
  22. 22.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 75 (b) 35 (c) 10 (d) 11
  23. 23.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 28 (b) 81 (c) 61 (d) 57
  24. 24.What is the average of 50, 53, 31 and 38? (a) 43 (b) 44 (c) 45 (d) 42
  25. 25.What is the average of all the whole numbers from 44 to 66? (a) 22 (b) 55 (c) 56 (d) 11
  26. 26.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 35 (b) 49 (c) 74 (d) 44
  27. 27.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 76 (c) 56 (d) 60
  28. 28.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 33 (c) 21 (d) 15
  29. 29.What is the average of 36, 31, 11 and 14? (a) 23 (b) 22 (c) 25 (d) 24
  30. 30.What is the average of 30, 31, 45, 24, 25 and 31? (a) 30 (b) 32 (c) 31 (d) 33
  31. 31.What is the average of all the whole numbers from 17 to 37? (a) 20 (b) 27 (c) 10 (d) 28
  32. 32.What is the average of all the whole numbers from 16 to 36? (a) 10 (b) 26 (c) 27 (d) 20
  33. 33.What is the average of 51, 70, 51 and 56? (a) 76 (b) 56 (c) 58 (d) 57
  34. 34.What is the average of 89, 86, 66, 75 and 79? (a) 80 (b) 81 (c) 78 (d) 79
  35. 35.What is the average of all the whole numbers from 23 to 59? (a) 42 (b) 18 (c) 41 (d) 36
  36. 36.What is the average of 19, 40, 41, 22 and 38? (a) 32 (b) 33 (c) 40 (d) 31
  37. 37.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 49 (b) 5 (c) 23 (d) 6
  38. 38.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 24 (b) 51 (c) 55 (d) 71
  39. 39.What is the average of all the whole numbers from 34 to 66? (a) 50 (b) 32 (c) 16 (d) 51
  40. 40.What is the average of 32, 35, 48, 28 and 22? (a) 33 (b) 32 (c) 34 (d) 35

Answer key

  1. 80
  2. 33
  3. 36
  4. 65
  5. 65
  6. 21
  7. 25
  8. 69
  9. 48
  10. 55
  11. 32
  12. 16
  13. 62
  14. 28
  15. 56
  16. 64
  17. 31
  18. 58
  19. 62
  20. 56
  21. 35
  22. 10
  23. 81
  24. 43
  25. 55
  26. 74
  27. 76
  28. 33
  29. 23
  30. 31
  31. 27
  32. 26
  33. 57
  34. 79
  35. 41
  36. 32
  37. 5
  38. 71
  39. 50
  40. 33

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