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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 703 · 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 6 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 41 (b) 102 (c) 50 (d) 40
  2. 2.What is the average of all the whole numbers from 26 to 38? (a) 6 (b) 32 (c) 12 (d) 33
  3. 3.What is the average of 45, 56, 59, 71, 49 and 80? (a) 60 (b) 72 (c) 61 (d) 59
  4. 4.What is the average of 60, 81, 70 and 65? (a) 92 (b) 68 (c) 70 (d) 69
  5. 5.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 56? (a) 24 (b) 62 (c) 74 (d) 56
  6. 6.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 18 (c) 16 (d) 37
  7. 7.What is the average of all the whole numbers from 25 to 63? (a) 44 (b) 19 (c) 38 (d) 45
  8. 8.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 14 (c) 28 (d) 38
  9. 9.What is the average of 52, 35, 30 and 59? (a) 45 (b) 43 (c) 44 (d) 46
  10. 10.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 45 (b) 34 (c) 74 (d) 39
  11. 11.What is the average of all the whole numbers from 41 to 79? (a) 38 (b) 19 (c) 60 (d) 61
  12. 12.What is the average of 22, 15, 30 and 29? (a) 23 (b) 25 (c) 24 (d) 32
  13. 13.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 6 (c) 34 (d) 35
  14. 14.What is the average of 40, 41, 19, 21, 43 and 28? (a) 34 (b) 33 (c) 31 (d) 32
  15. 15.What is the average of all the whole numbers from 50 to 66? (a) 58 (b) 59 (c) 8 (d) 16
  16. 16.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) 38 (b) 87 (c) 31 (d) 63
  17. 17.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 56 (b) 43 (c) 92 (d) 50
  18. 18.What is the average of 36, 35, 50, 31 and 78? (a) 48 (b) 47 (c) 45 (d) 46
  19. 19.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 16 (b) 62 (c) 64 (d) 76
  20. 20.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 57? (a) 40 (b) 89 (c) 65 (d) 57
  21. 21.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 32 (b) 39 (c) 31 (d) 80
  22. 22.What is the average of 50, 46, 52, 45, 61 and 28? (a) 47 (b) 49 (c) 46 (d) 48
  23. 23.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 52 (b) 64 (c) 20 (d) 48
  24. 24.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 28 (c) 15 (d) 8
  25. 25.What is the average of 87, 87, 88 and 42? (a) 77 (b) 78 (c) 76 (d) 75
  26. 26.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 19 (c) 16 (d) 33
  27. 27.What is the average of all the whole numbers from 56 to 84? (a) 71 (b) 28 (c) 14 (d) 70
  28. 28.What is the average of all the whole numbers from 28 to 36? (a) 8 (b) 33 (c) 32 (d) 4
  29. 29.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 40 (c) 28 (d) 18
  30. 30.What is the average of 26, 32, 20 and 34? (a) 28 (b) 30 (c) 29 (d) 27
  31. 31.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 45 (b) 33 (c) 14 (d) 35
  32. 32.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 63 (c) 120 (d) 64
  33. 33.What is the average of 46, 35, 30, 47 and 67? (a) 46 (b) 44 (c) 45 (d) 47
  34. 34.What is the average of all the whole numbers from 27 to 63? (a) 46 (b) 45 (c) 18 (d) 36
  35. 35.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 57 (c) 24 (d) 70
  36. 36.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 60 (d) 28
  37. 37.What is the average of 31, 44, 30, 39 and 76? (a) 43 (b) 55 (c) 45 (d) 44
  38. 38.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 24 (c) 69 (d) 94
  39. 39.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 54? (a) 62 (b) 54 (c) 80 (d) 126
  40. 40.What is the average of 79, 57, 77 and 47? (a) 65 (b) 64 (c) 67 (d) 66

Answer key

  1. 40
  2. 32
  3. 60
  4. 69
  5. 74
  6. 15
  7. 44
  8. 38
  9. 44
  10. 74
  11. 60
  12. 24
  13. 34
  14. 32
  15. 58
  16. 87
  17. 92
  18. 46
  19. 76
  20. 89
  21. 31
  22. 47
  23. 64
  24. 21
  25. 76
  26. 33
  27. 70
  28. 32
  29. 40
  30. 28
  31. 45
  32. 120
  33. 45
  34. 45
  35. 57
  36. 60
  37. 44
  38. 69
  39. 126
  40. 65

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