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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 280 · 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 all the whole numbers from 57 to 69? (a) 63 (b) 64 (c) 12 (d) 6
  2. 2.What is the average of all the whole numbers from 9 to 33? (a) 24 (b) 21 (c) 22 (d) 12
  3. 3.What is the average of 51, 81, 68 and 64? (a) 67 (b) 88 (c) 66 (d) 65
  4. 4.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 48? (a) 28 (b) 55 (c) 69 (d) 48
  5. 5.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 20 (c) 33 (d) 17
  6. 6.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 18 (c) 76 (d) 60
  7. 7.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 21 (b) 30 (c) 31 (d) 12
  8. 8.What is the average of 49, 48, 37 and 2? (a) 35 (b) 36 (c) 33 (d) 34
  9. 9.What is the average of 41, 48, 55 and 28? (a) 45 (b) 43 (c) 44 (d) 42
  10. 10.What is the average of all the whole numbers from 47 to 85? (a) 38 (b) 67 (c) 19 (d) 66
  11. 11.What is the average of 17, 38, 12 and 37? (a) 25 (b) 28 (c) 27 (d) 26
  12. 12.What is the average of all the whole numbers from 55 to 71? (a) 8 (b) 64 (c) 16 (d) 63
  13. 13.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 14 (b) 25 (c) 37 (d) 27
  14. 14.What is the average of 64, 68, 72 and 40? (a) 61 (b) 62 (c) 60 (d) 63
  15. 15.What is the average of all the whole numbers from 12 to 52? (a) 32 (b) 40 (c) 20 (d) 33
  16. 16.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 21 (c) 43 (d) 23
  17. 17.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 10 (b) 35 (c) 43 (d) 37
  18. 18.What is the average of 79, 64, 68 and 81? (a) 75 (b) 73 (c) 72 (d) 74
  19. 19.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 73 (b) 43 (c) 7 (d) 37
  20. 20.What is the average of 68, 54, 42, 38 and 63? (a) 52 (b) 55 (c) 53 (d) 54
  21. 21.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 54? (a) 96 (b) 54 (c) 49 (d) 61
  22. 22.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 71 (c) 30 (d) 38
  23. 23.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 16 (c) 42 (d) 54
  24. 24.What is the average of 36, 66, 54 and 48? (a) 68 (b) 52 (c) 50 (d) 51
  25. 25.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 20 (c) 48 (d) 36
  26. 26.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 38? (a) 38 (b) 44 (c) 54 (d) 86
  27. 27.What is the average of all the whole numbers from 38 to 58? (a) 48 (b) 20 (c) 49 (d) 10
  28. 28.What is the average of 26, 30, 41, 26 and 42? (a) 35 (b) 34 (c) 33 (d) 32
  29. 29.What is the average of 24, 29, 43 and 48? (a) 37 (b) 36 (c) 48 (d) 35
  30. 30.What is the average of 65, 65, 48 and 50? (a) 76 (b) 56 (c) 58 (d) 57
  31. 31.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 56 (b) 33 (c) 40 (d) 82
  32. 32.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 60 (c) 22 (d) 21
  33. 33.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 22 (c) 41 (d) 37
  34. 34.What is the average of 35, 24, 51, 50 and 35? (a) 41 (b) 40 (c) 39 (d) 38
  35. 35.What is the average of 51, 26, 35, 33 and 40? (a) 37 (b) 38 (c) 36 (d) 39
  36. 36.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 5 (b) 53 (c) 4 (d) 25
  37. 37.What is the average of all the whole numbers from 46 to 72? (a) 13 (b) 59 (c) 60 (d) 26
  38. 38.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 60? (a) 32 (b) 60 (c) 84 (d) 68
  39. 39.What is the average of 22, 16, 10, 34 and 28? (a) 23 (b) 24 (c) 21 (d) 22
  40. 40.What is the average of all the whole numbers from 36 to 52? (a) 8 (b) 16 (c) 45 (d) 44

Answer key

  1. 63
  2. 21
  3. 66
  4. 69
  5. 20
  6. 76
  7. 30
  8. 34
  9. 43
  10. 66
  11. 26
  12. 63
  13. 37
  14. 61
  15. 32
  16. 41
  17. 43
  18. 73
  19. 43
  20. 53
  21. 96
  22. 63
  23. 54
  24. 51
  25. 48
  26. 86
  27. 48
  28. 33
  29. 36
  30. 57
  31. 82
  32. 21
  33. 37
  34. 39
  35. 37
  36. 4
  37. 59
  38. 84
  39. 22
  40. 44

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