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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 425 · 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 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 30 (b) 85 (c) 70 (d) 45
  2. 2.What is the average of 55, 60, 53 and 24? (a) 64 (b) 48 (c) 47 (d) 49
  3. 3.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 65 (c) 37 (d) 5
  4. 4.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 62? (a) 62 (b) 24 (c) 68 (d) 80
  5. 5.What is the average of 41, 45, 65 and 69? (a) 54 (b) 55 (c) 57 (d) 56
  6. 6.What is the average of all the whole numbers from 59 to 87? (a) 74 (b) 14 (c) 73 (d) 28
  7. 7.What is the average of 85, 64, 86, 67 and 58? (a) 73 (b) 90 (c) 71 (d) 72
  8. 8.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 87 (c) 52 (d) 40
  9. 9.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 30 (c) 68 (d) 41
  10. 10.What is the average of 32, 28, 42 and 62? (a) 42 (b) 41 (c) 43 (d) 40
  11. 11.What is the average of 49, 66, 73, 78, 76 and 42? (a) 66 (b) 65 (c) 64 (d) 63
  12. 12.What is the average of all the whole numbers from 6 to 14? (a) 4 (b) 11 (c) 8 (d) 10
  13. 13.What is the average of all the whole numbers from 33 to 43? (a) 39 (b) 5 (c) 10 (d) 38
  14. 14.What is the average of 40, 48, 43 and 89? (a) 54 (b) 56 (c) 55 (d) 57
  15. 15.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 28? (a) 34 (b) 28 (c) 36 (d) 58
  16. 16.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 57? (a) 28 (b) 78 (c) 57 (d) 64
  17. 17.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 18 (c) 29 (d) 31
  18. 18.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 30 (c) 37 (d) 55
  19. 19.What is the average of all the whole numbers from 56 to 72? (a) 16 (b) 8 (c) 65 (d) 64
  20. 20.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 25 (c) 47 (d) 21
  21. 21.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 4 (c) 3 (d) 34
  22. 22.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 10 (b) 50 (c) 44 (d) 42
  23. 23.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 127 (b) 71 (c) 70 (d) 64
  24. 24.What is the average of 65, 78, 51, 72 and 49? (a) 62 (b) 65 (c) 64 (d) 63
  25. 25.What is the average of 57, 38, 37 and 48? (a) 60 (b) 44 (c) 45 (d) 46
  26. 26.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 60 (c) 45 (d) 100
  27. 27.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 67 (c) 61 (d) 36
  28. 28.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) 64 (b) 89 (c) 30 (d) 69
  29. 29.What is the average of 68, 88, 78 and 58? (a) 73 (b) 75 (c) 72 (d) 74
  30. 30.What is the average of all the whole numbers from 23 to 55? (a) 39 (b) 40 (c) 32 (d) 16
  31. 31.What is the average of 31, 16, 39 and 26? (a) 30 (b) 27 (c) 29 (d) 28
  32. 32.What is the average of 25, 19, 30 and 18? (a) 24 (b) 25 (c) 23 (d) 22
  33. 33.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 57 (c) 89 (d) 36
  34. 34.What is the average of all the whole numbers from 24 to 58? (a) 34 (b) 17 (c) 41 (d) 42
  35. 35.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 15 (c) 19 (d) 5
  36. 36.What is the average of all the whole numbers from 17 to 53? (a) 18 (b) 35 (c) 34 (d) 36
  37. 37.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 68 (b) 92 (c) 48 (d) 24
  38. 38.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 16 (b) 59 (c) 88 (d) 45
  39. 39.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 38 (c) 20 (d) 48
  40. 40.What is the average of 52, 46, 65 and 53? (a) 72 (b) 55 (c) 53 (d) 54

Answer key

  1. 70
  2. 48
  3. 37
  4. 80
  5. 55
  6. 73
  7. 72
  8. 87
  9. 68
  10. 41
  11. 64
  12. 10
  13. 38
  14. 55
  15. 58
  16. 78
  17. 45
  18. 55
  19. 64
  20. 43
  21. 3
  22. 50
  23. 127
  24. 63
  25. 45
  26. 100
  27. 61
  28. 89
  29. 73
  30. 39
  31. 28
  32. 23
  33. 89
  34. 41
  35. 19
  36. 35
  37. 68
  38. 59
  39. 48
  40. 54

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