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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 662 · 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 57, 51, 45 and 79? (a) 57 (b) 58 (c) 59 (d) 60
  2. 2.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 65 (c) 36 (d) 18
  3. 3.What is the average of all the whole numbers from 16 to 38? (a) 11 (b) 22 (c) 28 (d) 27
  4. 4.What is the average of 47, 35, 39 and 59? (a) 45 (b) 46 (c) 60 (d) 44
  5. 5.What is the average of 55, 54, 51, 76 and 84? (a) 63 (b) 65 (c) 64 (d) 80
  6. 6.What is the average of all the whole numbers from 12 to 38? (a) 26 (b) 13 (c) 25 (d) 24
  7. 7.What is the average of all the whole numbers from 8 to 20? (a) 15 (b) 14 (c) 6 (d) 12
  8. 8.What is the average of 50, 53, 37, 55, 42 and 63? (a) 49 (b) 50 (c) 51 (d) 60
  9. 9.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 106 (c) 52 (d) 60
  10. 10.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 87 (c) 63 (d) 28
  11. 11.What is the average of all the whole numbers from 9 to 17? (a) 13 (b) 4 (c) 14 (d) 8
  12. 12.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 86 (b) 62 (c) 54 (d) 40
  13. 13.What is the average of 83, 56, 56, 72 and 73? (a) 68 (b) 69 (c) 67 (d) 85
  14. 14.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 55 (c) 27 (d) 31
  15. 15.What is the average of 56, 51, 58, 43, 47 and 81? (a) 55 (b) 56 (c) 58 (d) 57
  16. 16.What is the average of 52, 49, 33, 50 and 31? (a) 43 (b) 45 (c) 44 (d) 42
  17. 17.What is the average of all the whole numbers from 18 to 50? (a) 34 (b) 35 (c) 16 (d) 32
  18. 18.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 22 (b) 10 (c) 15 (d) 17
  19. 19.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 28? (a) 56 (b) 76 (c) 36 (d) 28
  20. 20.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 58 (c) 8 (d) 52
  21. 21.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 62 (b) 32 (c) 38 (d) 36
  22. 22.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 48 (b) 57 (c) 89 (d) 49
  23. 23.What is the average of 71, 63, 76 and 38? (a) 64 (b) 63 (c) 61 (d) 62
  24. 24.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 49 (c) 50 (d) 22
  25. 25.What is the average of 29, 43, 52, 29, 26 and 55? (a) 38 (b) 39 (c) 40 (d) 41
  26. 26.What is the average of 46, 44, 39 and 75? (a) 68 (b) 52 (c) 50 (d) 51
  27. 27.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 46 (b) 21 (c) 31 (d) 28
  28. 28.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 86 (b) 37 (c) 63 (d) 30
  29. 29.What is the average of all the whole numbers from 56 to 64? (a) 61 (b) 8 (c) 4 (d) 60
  30. 30.What is the average of all the whole numbers from 17 to 23? (a) 6 (b) 21 (c) 20 (d) 3
  31. 31.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 59 (c) 43 (d) 24
  32. 32.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 60 (c) 57 (d) 18
  33. 33.What is the average of 13, 16, 27 and 52? (a) 36 (b) 28 (c) 27 (d) 26
  34. 34.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 8 (b) 77 (c) 46 (d) 39
  35. 35.What is the average of 48, 62, 49 and 85? (a) 62 (b) 60 (c) 61 (d) 63
  36. 36.What is the average of all the whole numbers from 47 to 77? (a) 30 (b) 63 (c) 15 (d) 62
  37. 37.What is the average of all the whole numbers from 46 to 64? (a) 56 (b) 9 (c) 55 (d) 18
  38. 38.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 48 (b) 43 (c) 63 (d) 25
  39. 39.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 86 (c) 50 (d) 8
  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 65? (a) 70 (b) 110 (c) 65 (d) 50

Answer key

  1. 58
  2. 65
  3. 27
  4. 45
  5. 64
  6. 25
  7. 14
  8. 50
  9. 106
  10. 87
  11. 13
  12. 86
  13. 68
  14. 55
  15. 56
  16. 43
  17. 34
  18. 22
  19. 76
  20. 58
  21. 62
  22. 89
  23. 62
  24. 49
  25. 39
  26. 51
  27. 46
  28. 86
  29. 60
  30. 20
  31. 59
  32. 72
  33. 27
  34. 46
  35. 61
  36. 62
  37. 55
  38. 63
  39. 50
  40. 110

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