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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 963 · 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 65, 72, 43 and 52? (a) 57 (b) 59 (c) 60 (d) 58
  2. 2.What is the average of 73, 49, 53 and 69? (a) 62 (b) 60 (c) 61 (d) 63
  3. 3.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 34 (c) 42 (d) 14
  4. 4.What is the average of 68, 70, 51, 68 and 28? (a) 56 (b) 59 (c) 57 (d) 58
  5. 5.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 86 (c) 29 (d) 41
  6. 6.What is the average of all the whole numbers from 21 to 29? (a) 26 (b) 4 (c) 8 (d) 25
  7. 7.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 54 (b) 44 (c) 92 (d) 50
  8. 8.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 2 (b) 28 (c) 13 (d) 1
  9. 9.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 30 (b) 69 (c) 45 (d) 42
  10. 10.What is the average of 74, 58, 64, 66 and 73? (a) 66 (b) 67 (c) 68 (d) 69
  11. 11.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 44 (c) 80 (d) 108
  12. 12.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 56 (c) 80 (d) 38
  13. 13.What is the average of 89, 87, 65 and 63? (a) 75 (b) 78 (c) 77 (d) 76
  14. 14.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 25 (c) 24 (d) 84
  15. 15.What is the average of 52, 55, 57 and 24? (a) 48 (b) 47 (c) 49 (d) 46
  16. 16.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 54 (c) 10 (d) 9
  17. 17.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 89 (c) 67 (d) 46
  18. 18.What is the average of 19, 28, 32 and 9? (a) 24 (b) 23 (c) 22 (d) 21
  19. 19.What is the average of all the whole numbers from 56 to 72? (a) 8 (b) 64 (c) 16 (d) 65
  20. 20.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 20 (c) 48 (d) 36
  21. 21.What is the average of all the whole numbers from 33 to 53? (a) 20 (b) 44 (c) 43 (d) 10
  22. 22.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 71 (c) 24 (d) 58
  23. 23.What is the average of 18, 23, 14 and 61? (a) 28 (b) 30 (c) 29 (d) 31
  24. 24.What is the average of 53, 53, 49, 39, 51 and 73? (a) 54 (b) 52 (c) 55 (d) 53
  25. 25.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 47 (c) 12 (d) 53
  26. 26.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 15 (b) 41 (c) 29 (d) 32
  27. 27.What is the average of all the whole numbers from 13 to 35? (a) 25 (b) 11 (c) 22 (d) 24
  28. 28.What is the average of all the whole numbers from 43 to 75? (a) 60 (b) 32 (c) 16 (d) 59
  29. 29.What is the average of 17, 12, 27 and 48? (a) 26 (b) 28 (c) 25 (d) 27
  30. 30.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 71 (c) 53 (d) 20
  31. 31.What is the average of all the whole numbers from 42 to 76? (a) 17 (b) 60 (c) 34 (d) 59
  32. 32.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 43 (c) 15 (d) 34
  33. 33.What is the average of 52, 29, 36, 46 and 32? (a) 40 (b) 38 (c) 39 (d) 41
  34. 34.What is the average of all the whole numbers from 35 to 73? (a) 19 (b) 54 (c) 38 (d) 55
  35. 35.What is the average of all the whole numbers from 27 to 33? (a) 31 (b) 6 (c) 30 (d) 3
  36. 36.What is the average of 44, 69, 48 and 67? (a) 58 (b) 57 (c) 56 (d) 76
  37. 37.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 72 (b) 36 (c) 40 (d) 44
  38. 38.What is the average of 87, 73, 66, 69 and 85? (a) 77 (b) 75 (c) 95 (d) 76
  39. 39.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 7 (b) 81 (c) 47 (d) 41
  40. 40.What is the average of 65, 87, 61 and 87? (a) 75 (b) 74 (c) 76 (d) 100

Answer key

  1. 58
  2. 61
  3. 34
  4. 57
  5. 29
  6. 25
  7. 92
  8. 1
  9. 69
  10. 67
  11. 108
  12. 80
  13. 76
  14. 24
  15. 47
  16. 9
  17. 67
  18. 22
  19. 64
  20. 48
  21. 43
  22. 58
  23. 29
  24. 53
  25. 53
  26. 41
  27. 24
  28. 59
  29. 26
  30. 71
  31. 59
  32. 43
  33. 39
  34. 54
  35. 30
  36. 57
  37. 72
  38. 76
  39. 47
  40. 75

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