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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 818 · 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.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 73 (b) 32 (c) 49 (d) 45
  2. 2.What is the average of all the whole numbers from 55 to 87? (a) 32 (b) 72 (c) 16 (d) 71
  3. 3.What is the average of all the whole numbers from 39 to 59? (a) 20 (b) 50 (c) 49 (d) 10
  4. 4.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 16 (c) 53 (d) 78
  5. 5.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 20 (c) 75 (d) 40
  6. 6.What is the average of 32, 39, 42 and 71? (a) 47 (b) 45 (c) 46 (d) 48
  7. 7.What is the average of all the whole numbers from 52 to 90? (a) 38 (b) 72 (c) 71 (d) 19
  8. 8.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 58 (c) 24 (d) 76
  9. 9.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 42 (b) 30 (c) 60 (d) 36
  10. 10.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 19 (c) 10 (d) 17
  11. 11.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 31 (b) 64 (c) 24 (d) 23
  12. 12.What is the average of 30, 11, 10, 15 and 59? (a) 27 (b) 25 (c) 24 (d) 26
  13. 13.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 45 (c) 44 (d) 24
  14. 14.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 33? (a) 33 (b) 39 (c) 81 (d) 54
  15. 15.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 52 (c) 16 (d) 44
  16. 16.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 11 (c) 34 (d) 10
  17. 17.What is the average of 72, 60, 55 and 81? (a) 68 (b) 67 (c) 66 (d) 69
  18. 18.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 14 (c) 27 (d) 26
  19. 19.What is the average of 30, 36, 22, 21 and 51? (a) 31 (b) 33 (c) 40 (d) 32
  20. 20.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 29 (c) 35 (d) 56
  21. 21.What is the average of 54, 72, 76, 67 and 36? (a) 60 (b) 62 (c) 63 (d) 61
  22. 22.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 28 (b) 65 (c) 79 (d) 58
  23. 23.What is the average of all the whole numbers from 38 to 44? (a) 42 (b) 3 (c) 6 (d) 41
  24. 24.What is the average of all the whole numbers from 40 to 48? (a) 45 (b) 44 (c) 8 (d) 4
  25. 25.What is the average of 18, 32, 25 and 57? (a) 44 (b) 34 (c) 32 (d) 33
  26. 26.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 20 (b) 67 (c) 51 (d) 49
  27. 27.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 30 (b) 51 (c) 53 (d) 28
  28. 28.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 63 (c) 123 (d) 74
  29. 29.What is the average of all the whole numbers from 37 to 53? (a) 45 (b) 46 (c) 8 (d) 16
  30. 30.What is the average of 49, 65, 69, 50, 71 and 56? (a) 59 (b) 72 (c) 60 (d) 61
  31. 31.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 60 (c) 54 (d) 12
  32. 32.What is the average of 41, 36, 45, 27 and 6? (a) 32 (b) 33 (c) 30 (d) 31
  33. 33.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 25 (c) 16 (d) 13
  34. 34.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 88 (b) 45 (c) 14 (d) 57
  35. 35.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 32 (b) 10 (c) 26 (d) 24
  36. 36.What is the average of 29, 44, 34 and 29? (a) 33 (b) 35 (c) 36 (d) 34
  37. 37.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) 51 (b) 20 (c) 69 (d) 53
  38. 38.What is the average of all the whole numbers from 38 to 46? (a) 42 (b) 4 (c) 8 (d) 43
  39. 39.What is the average of 36, 34, 22, 24, 44 and 14? (a) 30 (b) 28 (c) 29 (d) 31
  40. 40.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 30 (c) 28 (d) 41

Answer key

  1. 73
  2. 71
  3. 49
  4. 53
  5. 75
  6. 46
  7. 71
  8. 76
  9. 60
  10. 19
  11. 23
  12. 25
  13. 45
  14. 81
  15. 52
  16. 10
  17. 67
  18. 26
  19. 32
  20. 35
  21. 61
  22. 79
  23. 41
  24. 44
  25. 33
  26. 67
  27. 53
  28. 123
  29. 45
  30. 60
  31. 60
  32. 31
  33. 25
  34. 57
  35. 32
  36. 34
  37. 69
  38. 42
  39. 29
  40. 41

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