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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 252 · 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 7 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 7 (b) 47 (c) 24 (d) 30
  2. 2.What is the average of 79, 69, 74 and 46? (a) 69 (b) 68 (c) 67 (d) 66
  3. 3.What is the average of all the whole numbers from 54 to 86? (a) 32 (b) 70 (c) 71 (d) 16
  4. 4.What is the average of 38, 23, 20, 37, 33 and 23? (a) 29 (b) 30 (c) 31 (d) 28
  5. 5.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 56 (c) 38 (d) 24
  6. 6.What is the average of all the whole numbers from 49 to 61? (a) 56 (b) 6 (c) 55 (d) 12
  7. 7.What is the average of 39, 52, 50 and 39? (a) 45 (b) 46 (c) 60 (d) 44
  8. 8.What is the average of 57, 42, 50 and 23? (a) 44 (b) 45 (c) 43 (d) 42
  9. 9.What is the average of 37, 31, 50, 29 and 53? (a) 40 (b) 41 (c) 50 (d) 39
  10. 10.What is the average of 58, 56, 59, 52 and 5? (a) 45 (b) 46 (c) 48 (d) 47
  11. 11.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 54? (a) 58 (b) 54 (c) 20 (d) 70
  12. 12.What is the average of all the whole numbers from 27 to 37? (a) 10 (b) 32 (c) 5 (d) 33
  13. 13.What is the average of all the whole numbers from 27 to 45? (a) 37 (b) 36 (c) 9 (d) 18
  14. 14.What is the average of 75, 68, 69 and 44? (a) 65 (b) 66 (c) 63 (d) 64
  15. 15.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 61 (b) 17 (c) 18 (d) 29
  16. 16.What is the average of 50, 45, 52, 39, 59 and 67? (a) 53 (b) 51 (c) 54 (d) 52
  17. 17.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) 51 (b) 56 (c) 71 (d) 25
  18. 18.What is the average of all the whole numbers from 57 to 85? (a) 14 (b) 71 (c) 72 (d) 28
  19. 19.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 40 (c) 59 (d) 43
  20. 20.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 29 (c) 16 (d) 27
  21. 21.What is the average of 31, 44, 17, 27 and 36? (a) 32 (b) 33 (c) 31 (d) 30
  22. 22.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 48 (b) 24 (c) 28 (d) 44
  23. 23.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 28 (b) 24 (c) 22 (d) 8
  24. 24.What is the average of 32, 43, 51, 39 and 45? (a) 41 (b) 43 (c) 44 (d) 42
  25. 25.What is the average of all the whole numbers from 50 to 68? (a) 18 (b) 59 (c) 9 (d) 60
  26. 26.What is the average of 66, 62, 55, 48, 41 and 46? (a) 55 (b) 53 (c) 54 (d) 52
  27. 27.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 32 (c) 17 (d) 68
  28. 28.What is the average of 57, 81, 65 and 61? (a) 88 (b) 66 (c) 65 (d) 67
  29. 29.What is the average of all the whole numbers from 45 to 73? (a) 60 (b) 28 (c) 59 (d) 14
  30. 30.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 34 (c) 70 (d) 25
  31. 31.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 56 (c) 71 (d) 21
  32. 32.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 8 (b) 18 (c) 12 (d) 22
  33. 33.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 62 (c) 56 (d) 70
  34. 34.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 6 (c) 49 (d) 30
  35. 35.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 49 (c) 48 (d) 27
  36. 36.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 21 (b) 62 (c) 44 (d) 85
  37. 37.What is the average of all the whole numbers from 31 to 43? (a) 12 (b) 38 (c) 6 (d) 37
  38. 38.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 92 (b) 50 (c) 48 (d) 56
  39. 39.What is the average of all the whole numbers from 24 to 32? (a) 8 (b) 28 (c) 4 (d) 29
  40. 40.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 106 (b) 70 (c) 64 (d) 48

Answer key

  1. 30
  2. 67
  3. 70
  4. 29
  5. 56
  6. 55
  7. 45
  8. 43
  9. 40
  10. 46
  11. 70
  12. 32
  13. 36
  14. 64
  15. 17
  16. 52
  17. 71
  18. 71
  19. 59
  20. 28
  21. 31
  22. 48
  23. 28
  24. 42
  25. 59
  26. 53
  27. 16
  28. 66
  29. 59
  30. 24
  31. 71
  32. 18
  33. 110
  34. 30
  35. 48
  36. 62
  37. 37
  38. 92
  39. 28
  40. 106

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