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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 25 · 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 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 52 (b) 71 (c) 18 (d) 37
  2. 2.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 41 (c) 15 (d) 50
  3. 3.What is the average of 37, 52, 29 and 42? (a) 40 (b) 39 (c) 41 (d) 42
  4. 4.What is the average of all the whole numbers from 6 to 42? (a) 24 (b) 18 (c) 36 (d) 25
  5. 5.What is the average of all the whole numbers from 25 to 57? (a) 42 (b) 41 (c) 16 (d) 32
  6. 6.What is the average of 33, 38, 33, 48 and 83? (a) 47 (b) 49 (c) 48 (d) 46
  7. 7.What is the average of all the whole numbers from 8 to 14? (a) 12 (b) 3 (c) 6 (d) 11
  8. 8.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 52 (c) 60 (d) 106
  9. 9.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 67 (d) 45
  10. 10.What is the average of all the whole numbers from 29 to 65? (a) 48 (b) 36 (c) 18 (d) 47
  11. 11.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 35 (c) 57 (d) 82
  12. 12.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 76 (b) 60 (c) 52 (d) 32
  13. 13.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 60 (c) 32 (d) 61
  14. 14.What is the average of 42, 14, 43, 25 and 16? (a) 27 (b) 35 (c) 28 (d) 29
  15. 15.What is the average of all the whole numbers from 39 to 73? (a) 57 (b) 56 (c) 17 (d) 34
  16. 16.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 89 (b) 35 (c) 68 (d) 61
  17. 17.What is the average of all the whole numbers from 24 to 32? (a) 8 (b) 4 (c) 29 (d) 28
  18. 18.What is the average of all the whole numbers from 49 to 73? (a) 61 (b) 62 (c) 12 (d) 24
  19. 19.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 24 (c) 16 (d) 10
  20. 20.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 17 (c) 8 (d) 7
  21. 21.What is the average of 70, 63, 57, 64 and 71? (a) 67 (b) 65 (c) 66 (d) 64
  22. 22.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 27 (c) 30 (d) 52
  23. 23.What is the average of 35, 17, 24 and 40? (a) 31 (b) 29 (c) 30 (d) 28
  24. 24.What is the average of all the whole numbers from 17 to 33? (a) 8 (b) 25 (c) 26 (d) 16
  25. 25.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 41? (a) 41 (b) 53 (c) 16 (d) 45
  26. 26.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 63 (b) 45 (c) 33 (d) 15
  27. 27.What is the average of 43, 32, 28, 46 and 36? (a) 36 (b) 38 (c) 39 (d) 37
  28. 28.What is the average of 58, 34, 49 and 51? (a) 49 (b) 64 (c) 48 (d) 47
  29. 29.What is the average of 61, 57, 43, 50 and 69? (a) 57 (b) 55 (c) 70 (d) 56
  30. 30.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 18 (c) 31 (d) 24
  31. 31.What is the average of all the whole numbers from 24 to 50? (a) 37 (b) 13 (c) 26 (d) 38
  32. 32.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 55 (c) 28 (d) 35
  33. 33.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 37 (b) 38 (c) 43 (d) 88
  34. 34.What is the average of all the whole numbers from 17 to 45? (a) 28 (b) 14 (c) 31 (d) 32
  35. 35.What is the average of 46, 71, 71, 56, 59 and 39? (a) 56 (b) 59 (c) 57 (d) 58
  36. 36.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 20 (b) 50 (c) 60 (d) 45
  37. 37.What is the average of all the whole numbers from 38 to 70? (a) 54 (b) 32 (c) 16 (d) 55
  38. 38.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 15 (b) 53 (c) 65 (d) 56
  39. 39.What is the average of all the whole numbers from 56 to 92? (a) 36 (b) 18 (c) 75 (d) 74
  40. 40.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 113 (b) 64 (c) 112 (d) 56

Answer key

  1. 52
  2. 50
  3. 40
  4. 24
  5. 41
  6. 47
  7. 11
  8. 106
  9. 67
  10. 47
  11. 82
  12. 76
  13. 60
  14. 28
  15. 56
  16. 89
  17. 28
  18. 61
  19. 24
  20. 7
  21. 65
  22. 52
  23. 29
  24. 25
  25. 53
  26. 45
  27. 37
  28. 48
  29. 56
  30. 31
  31. 37
  32. 55
  33. 37
  34. 31
  35. 57
  36. 60
  37. 54
  38. 65
  39. 74
  40. 112

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