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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 154 · 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 10 to 16? (a) 13 (b) 3 (c) 6 (d) 14
  2. 2.What is the average of all the whole numbers from 12 to 42? (a) 27 (b) 28 (c) 15 (d) 30
  3. 3.What is the average of all the whole numbers from 9 to 45? (a) 28 (b) 18 (c) 27 (d) 36
  4. 4.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 54 (c) 18 (d) 19
  5. 5.What is the average of 28, 32, 31, 38 and 51? (a) 36 (b) 37 (c) 45 (d) 35
  6. 6.What is the average of 12, 15, 34, 12 and 27? (a) 25 (b) 19 (c) 20 (d) 21
  7. 7.What is the average of 34, 15, 44 and 23? (a) 28 (b) 30 (c) 31 (d) 29
  8. 8.What is the average of 37, 58, 38 and 47? (a) 60 (b) 44 (c) 45 (d) 46
  9. 9.What is the average of 23, 36, 22, 34 and 5? (a) 25 (b) 23 (c) 30 (d) 24
  10. 10.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 62 (c) 20 (d) 21
  11. 11.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 45? (a) 49 (b) 45 (c) 16 (d) 57
  12. 12.What is the average of 13, 8, 26 and 33? (a) 22 (b) 21 (c) 20 (d) 19
  13. 13.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 8 (b) 63 (c) 57 (d) 59
  14. 14.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 54 (c) 35 (d) 75
  15. 15.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 39 (b) 38 (c) 44 (d) 89
  16. 16.What is the average of all the whole numbers from 50 to 56? (a) 6 (b) 3 (c) 54 (d) 53
  17. 17.What is the average of all the whole numbers from 19 to 51? (a) 16 (b) 35 (c) 36 (d) 32
  18. 18.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 30 (c) 24 (d) 20
  19. 19.What is the average of 65, 92, 67 and 92? (a) 80 (b) 79 (c) 78 (d) 81
  20. 20.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 64 (c) 70 (d) 127
  21. 21.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 70 (b) 46 (c) 28 (d) 50
  22. 22.What is the average of 48, 59, 53 and 60? (a) 54 (b) 56 (c) 55 (d) 57
  23. 23.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 29 (b) 31 (c) 16 (d) 18
  24. 24.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 14 (c) 65 (d) 13
  25. 25.What is the average of 79, 68, 63 and 58? (a) 69 (b) 66 (c) 67 (d) 68
  26. 26.What is the average of all the whole numbers from 10 to 26? (a) 19 (b) 16 (c) 8 (d) 18
  27. 27.What is the average of 30, 46, 41 and 11? (a) 34 (b) 33 (c) 31 (d) 32
  28. 28.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 2 (c) 3 (d) 40
  29. 29.What is the average of all the whole numbers from 33 to 61? (a) 47 (b) 48 (c) 28 (d) 14
  30. 30.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 81 (c) 67 (d) 28
  31. 31.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 53? (a) 60 (b) 35 (c) 81 (d) 53
  32. 32.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 56 (b) 36 (c) 85 (d) 43
  33. 33.What is the average of 27, 41, 33 and 31? (a) 33 (b) 32 (c) 44 (d) 34
  34. 34.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 42 (b) 30 (c) 18 (d) 27
  35. 35.What is the average of 64, 62, 38, 64, 63 and 27? (a) 52 (b) 55 (c) 53 (d) 54
  36. 36.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 11 (b) 10 (c) 80 (d) 38
  37. 37.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 35 (c) 65 (d) 93
  38. 38.What is the average of all the whole numbers from 16 to 46? (a) 32 (b) 30 (c) 15 (d) 31
  39. 39.What is the average of 40, 63, 59 and 42? (a) 51 (b) 68 (c) 50 (d) 52
  40. 40.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 86 (b) 65 (c) 35 (d) 58

Answer key

  1. 13
  2. 27
  3. 27
  4. 18
  5. 36
  6. 20
  7. 29
  8. 45
  9. 24
  10. 20
  11. 57
  12. 20
  13. 63
  14. 75
  15. 38
  16. 53
  17. 35
  18. 30
  19. 79
  20. 127
  21. 70
  22. 55
  23. 31
  24. 13
  25. 67
  26. 18
  27. 32
  28. 2
  29. 47
  30. 81
  31. 81
  32. 85
  33. 33
  34. 42
  35. 53
  36. 10
  37. 93
  38. 31
  39. 51
  40. 86

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