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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 418 · 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 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 45 (b) 75 (c) 85 (d) 35
  2. 2.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 27 (d) 58
  3. 3.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 10 (c) 6 (d) 21
  4. 4.What is the average of 13, 15, 7, 36, 11 and 44? (a) 22 (b) 20 (c) 23 (d) 21
  5. 5.What is the average of all the whole numbers from 53 to 61? (a) 4 (b) 57 (c) 58 (d) 8
  6. 6.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 42 (c) 74 (d) 38
  7. 7.What is the average of 67, 57, 56, 69, 61 and 68? (a) 62 (b) 64 (c) 65 (d) 63
  8. 8.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 16 (c) 66 (d) 35
  9. 9.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 72 (b) 16 (c) 60 (d) 64
  10. 10.What is the average of all the whole numbers from 38 to 70? (a) 55 (b) 16 (c) 54 (d) 32
  11. 11.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 10 (c) 7 (d) 16
  12. 12.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 24 (b) 69 (c) 53 (d) 49
  13. 13.What is the average of 26, 22, 27 and 13? (a) 22 (b) 24 (c) 23 (d) 21
  14. 14.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) 16 (b) 25 (c) 17 (d) 53
  15. 15.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 5 (c) 32 (d) 55
  16. 16.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 46 (d) 87
  17. 17.What is the average of all the whole numbers from 35 to 55? (a) 20 (b) 45 (c) 10 (d) 46
  18. 18.What is the average of 47, 51, 67 and 83? (a) 61 (b) 63 (c) 62 (d) 64
  19. 19.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 24 (c) 31 (d) 10
  20. 20.What is the average of all the whole numbers from 15 to 43? (a) 28 (b) 29 (c) 30 (d) 14
  21. 21.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 43? (a) 46 (b) 21 (c) 43 (d) 61
  22. 22.What is the average of all the whole numbers from 45 to 83? (a) 38 (b) 65 (c) 64 (d) 19
  23. 23.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 70 (c) 84 (d) 28
  24. 24.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 11 (c) 16 (d) 12
  25. 25.What is the average of all the whole numbers from 54 to 74? (a) 10 (b) 20 (c) 64 (d) 65
  26. 26.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 51 (c) 69 (d) 20
  27. 27.What is the average of 16, 15, 36, 16 and 52? (a) 28 (b) 26 (c) 27 (d) 29
  28. 28.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 69 (b) 64 (c) 99 (d) 40
  29. 29.What is the average of all the whole numbers from 23 to 61? (a) 43 (b) 38 (c) 19 (d) 42
  30. 30.What is the average of 30, 26, 35, 22, 12 and 19? (a) 25 (b) 23 (c) 26 (d) 24
  31. 31.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 35 (b) 76 (c) 55 (d) 48
  32. 32.What is the average of all the whole numbers from 35 to 51? (a) 43 (b) 16 (c) 8 (d) 44
  33. 33.What is the average of 52, 31, 47, 29 and 31? (a) 37 (b) 38 (c) 40 (d) 39
  34. 34.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 25 (c) 47 (d) 24
  35. 35.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 85 (b) 53 (c) 45 (d) 48
  36. 36.What is the average of all the whole numbers from 20 to 40? (a) 30 (b) 31 (c) 10 (d) 20
  37. 37.What is the average of 44, 60, 37, 43, 61 and 67? (a) 51 (b) 52 (c) 54 (d) 53
  38. 38.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 12 (b) 31 (c) 29 (d) 39
  39. 39.What is the average of 50, 59, 49, 44 and 58? (a) 51 (b) 65 (c) 52 (d) 53
  40. 40.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 35 (c) 33 (d) 63

Answer key

  1. 75
  2. 58
  3. 5
  4. 21
  5. 57
  6. 74
  7. 63
  8. 47
  9. 72
  10. 54
  11. 16
  12. 69
  13. 22
  14. 16
  15. 32
  16. 81
  17. 45
  18. 62
  19. 31
  20. 29
  21. 61
  22. 64
  23. 84
  24. 11
  25. 64
  26. 69
  27. 27
  28. 99
  29. 42
  30. 24
  31. 76
  32. 43
  33. 38
  34. 46
  35. 85
  36. 30
  37. 52
  38. 39
  39. 52
  40. 63

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