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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 144 · 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 5 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 33 (c) 40 (d) 32
  2. 2.What is the average of all the whole numbers from 29 to 57? (a) 43 (b) 44 (c) 28 (d) 14
  3. 3.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 10 (b) 46 (c) 52 (d) 44
  4. 4.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 89 (b) 56 (c) 88 (d) 48
  5. 5.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 21 (b) 49 (c) 52 (d) 67
  6. 6.What is the average of 29, 26, 45, 24 and 71? (a) 40 (b) 38 (c) 39 (d) 41
  7. 7.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 25 (b) 56 (c) 51 (d) 71
  8. 8.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 24 (b) 56 (c) 53 (d) 74
  9. 9.What is the average of 70, 65, 52 and 81? (a) 68 (b) 66 (c) 69 (d) 67
  10. 10.What is the average of all the whole numbers from 25 to 61? (a) 36 (b) 43 (c) 44 (d) 18
  11. 11.What is the average of all the whole numbers from 17 to 49? (a) 32 (b) 16 (c) 33 (d) 34
  12. 12.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 5 (c) 6 (d) 26
  13. 13.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 25 (c) 68 (d) 53
  14. 14.What is the average of 64, 53, 74, 54, 56 and 77? (a) 62 (b) 65 (c) 63 (d) 64
  15. 15.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 8 (c) 53 (d) 49
  16. 16.What is the average of 50, 42, 55, 52 and 56? (a) 51 (b) 53 (c) 50 (d) 52
  17. 17.What is the average of 36, 62, 33, 39 and 65? (a) 47 (b) 48 (c) 49 (d) 46
  18. 18.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 25 (c) 38 (d) 31
  19. 19.What is the average of 79, 88, 65, 81, 59 and 72? (a) 75 (b) 73 (c) 74 (d) 76
  20. 20.What is the average of 70, 57, 64, 66 and 73? (a) 66 (b) 68 (c) 67 (d) 65
  21. 21.What is the average of 27, 37, 40, 40, 29 and 43? (a) 37 (b) 36 (c) 35 (d) 38
  22. 22.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 32 (c) 90 (d) 31
  23. 23.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 62 (c) 38 (d) 28
  24. 24.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 35 (c) 8 (d) 25
  25. 25.What is the average of 72, 70, 67 and 55? (a) 65 (b) 88 (c) 67 (d) 66
  26. 26.What is the average of all the whole numbers from 32 to 62? (a) 48 (b) 15 (c) 30 (d) 47
  27. 27.What is the average of 36, 38, 59, 29, 56 and 46? (a) 46 (b) 43 (c) 45 (d) 44
  28. 28.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 63 (c) 51 (d) 40
  29. 29.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 5 (b) 15 (c) 21 (d) 11
  30. 30.What is the average of all the whole numbers from 43 to 83? (a) 40 (b) 20 (c) 64 (d) 63
  31. 31.What is the average of all the whole numbers from 21 to 49? (a) 35 (b) 28 (c) 14 (d) 36
  32. 32.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 42? (a) 48 (b) 24 (c) 42 (d) 60
  33. 33.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 60 (b) 42 (c) 90 (d) 36
  34. 34.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 4 (c) 15 (d) 8
  35. 35.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 13 (b) 50 (c) 12 (d) 24
  36. 36.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 28 (b) 46 (c) 40 (d) 22
  37. 37.What is the average of 74, 58, 59, 65 and 49? (a) 60 (b) 61 (c) 63 (d) 62
  38. 38.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 27 (c) 97 (d) 26
  39. 39.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 69 (c) 68 (d) 40
  40. 40.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 46 (c) 2 (d) 1

Answer key

  1. 32
  2. 43
  3. 52
  4. 88
  5. 67
  6. 39
  7. 71
  8. 74
  9. 67
  10. 43
  11. 33
  12. 5
  13. 68
  14. 63
  15. 53
  16. 51
  17. 47
  18. 38
  19. 74
  20. 66
  21. 36
  22. 31
  23. 62
  24. 25
  25. 66
  26. 47
  27. 44
  28. 63
  29. 15
  30. 63
  31. 35
  32. 60
  33. 90
  34. 15
  35. 12
  36. 46
  37. 61
  38. 26
  39. 68
  40. 1

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