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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 133 · 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 all the whole numbers from 60 to 86? (a) 74 (b) 73 (c) 13 (d) 26
  2. 2.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 13 (c) 67 (d) 66
  3. 3.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 51 (c) 8 (d) 47
  4. 4.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 109 (c) 64 (d) 53
  5. 5.What is the average of 39, 50, 48, 34, 33 and 78? (a) 48 (b) 46 (c) 49 (d) 47
  6. 6.What is the average of all the whole numbers from 14 to 34? (a) 24 (b) 25 (c) 10 (d) 20
  7. 7.What is the average of 15, 41, 36, 40, 20 and 4? (a) 25 (b) 26 (c) 28 (d) 27
  8. 8.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 55 (b) 92 (c) 10 (d) 47
  9. 9.What is the average of all the whole numbers from 29 to 39? (a) 34 (b) 35 (c) 10 (d) 5
  10. 10.What is the average of 54, 42, 63, 46 and 75? (a) 70 (b) 57 (c) 55 (d) 56
  11. 11.What is the average of 37, 37, 22 and 16? (a) 27 (b) 28 (c) 30 (d) 29
  12. 12.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 7 (c) 28 (d) 27
  13. 13.What is the average of all the whole numbers from 12 to 46? (a) 30 (b) 34 (c) 17 (d) 29
  14. 14.What is the average of 66, 80, 65 and 81? (a) 74 (b) 72 (c) 75 (d) 73
  15. 15.What is the average of 63, 60, 43, 45 and 69? (a) 70 (b) 55 (c) 57 (d) 56
  16. 16.What is the average of all the whole numbers from 25 to 37? (a) 6 (b) 31 (c) 12 (d) 32
  17. 17.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 49 (c) 8 (d) 55
  18. 18.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 52? (a) 76 (b) 30 (c) 52 (d) 58
  19. 19.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 24 (d) 55
  20. 20.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 58 (c) 88 (d) 42
  21. 21.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 5 (b) 19 (c) 4 (d) 43
  22. 22.What is the average of all the whole numbers from 37 to 51? (a) 45 (b) 7 (c) 44 (d) 14
  23. 23.What is the average of 30, 30, 31, 43 and 31? (a) 32 (b) 34 (c) 33 (d) 35
  24. 24.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 64? (a) 69 (b) 30 (c) 89 (d) 64
  25. 25.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 42 (b) 83 (c) 48 (d) 7
  26. 26.What is the average of all the whole numbers from 33 to 55? (a) 22 (b) 45 (c) 44 (d) 11
  27. 27.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 29 (c) 8 (d) 22
  28. 28.What is the average of 46, 42, 67 and 73? (a) 76 (b) 57 (c) 56 (d) 58
  29. 29.What is the average of 32, 33, 43, 51 and 66? (a) 45 (b) 44 (c) 47 (d) 46
  30. 30.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 60 (c) 40 (d) 92
  31. 31.What is the average of all the whole numbers from 31 to 37? (a) 35 (b) 34 (c) 3 (d) 6
  32. 32.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 53 (b) 69 (c) 45 (d) 32
  33. 33.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 11 (c) 2 (d) 1
  34. 34.What is the average of all the whole numbers from 52 to 68? (a) 61 (b) 16 (c) 8 (d) 60
  35. 35.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 20 (c) 62 (d) 78
  36. 36.What is the average of all the whole numbers from 29 to 37? (a) 33 (b) 4 (c) 8 (d) 34
  37. 37.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 25 (c) 6 (d) 5
  38. 38.What is the average of all the whole numbers from 18 to 30? (a) 6 (b) 24 (c) 12 (d) 25
  39. 39.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 86 (b) 62 (c) 66 (d) 28
  40. 40.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 28? (a) 28 (b) 32 (c) 60 (d) 36

Answer key

  1. 73
  2. 66
  3. 51
  4. 109
  5. 47
  6. 24
  7. 26
  8. 55
  9. 34
  10. 56
  11. 28
  12. 27
  13. 29
  14. 73
  15. 56
  16. 31
  17. 55
  18. 76
  19. 55
  20. 88
  21. 4
  22. 44
  23. 33
  24. 89
  25. 48
  26. 44
  27. 22
  28. 57
  29. 45
  30. 92
  31. 34
  32. 69
  33. 1
  34. 60
  35. 78
  36. 33
  37. 5
  38. 24
  39. 86
  40. 60

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