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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 566 · 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 21 to 41? (a) 10 (b) 20 (c) 31 (d) 32
  2. 2.What is the average of all the whole numbers from 38 to 60? (a) 50 (b) 22 (c) 11 (d) 49
  3. 3.What is the average of 53, 42, 38, 61, 68 and 56? (a) 53 (b) 54 (c) 52 (d) 55
  4. 4.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 8 (c) 86 (d) 50
  5. 5.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 26? (a) 21 (b) 29 (c) 26 (d) 44
  6. 6.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 43 (b) 35 (c) 12 (d) 33
  7. 7.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 91 (c) 64 (d) 43
  8. 8.What is the average of all the whole numbers from 58 to 68? (a) 64 (b) 5 (c) 10 (d) 63
  9. 9.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 32 (b) 14 (c) 3 (d) 2
  10. 10.What is the average of 13, 6, 22 and 43? (a) 28 (b) 20 (c) 21 (d) 22
  11. 11.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 15 (c) 14 (d) 72
  12. 12.What is the average of 39, 54, 45, 42, 61 and 77? (a) 52 (b) 54 (c) 55 (d) 53
  13. 13.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) 70 (b) 64 (c) 106 (d) 48
  14. 14.What is the average of all the whole numbers from 29 to 57? (a) 44 (b) 14 (c) 28 (d) 43
  15. 15.What is the average of all the whole numbers from 49 to 71? (a) 11 (b) 61 (c) 22 (d) 60
  16. 16.What is the average of 37, 49, 45 and 13? (a) 35 (b) 48 (c) 36 (d) 37
  17. 17.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 29 (c) 9 (d) 63
  18. 18.What is the average of 36, 43, 35, 38 and 68? (a) 55 (b) 44 (c) 45 (d) 43
  19. 19.What is the average of all the whole numbers from 25 to 35? (a) 5 (b) 31 (c) 10 (d) 30
  20. 20.What is the average of all the whole numbers from 6 to 40? (a) 23 (b) 24 (c) 34 (d) 17
  21. 21.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 29 (b) 30 (c) 71 (d) 35
  22. 22.What is the average of 49, 33, 38, 33 and 67? (a) 55 (b) 44 (c) 45 (d) 43
  23. 23.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 54 (b) 29 (c) 49 (d) 24
  24. 24.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 20 (c) 19 (d) 34
  25. 25.What is the average of all the whole numbers from 60 to 98? (a) 80 (b) 79 (c) 19 (d) 38
  26. 26.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 45? (a) 30 (b) 70 (c) 45 (d) 50
  27. 27.What is the average of all the whole numbers from 24 to 64? (a) 45 (b) 44 (c) 40 (d) 20
  28. 28.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 32 (b) 58 (c) 34 (d) 42
  29. 29.What is the average of all the whole numbers from 27 to 49? (a) 22 (b) 11 (c) 38 (d) 39
  30. 30.What is the average of 59, 62, 56 and 83? (a) 66 (b) 64 (c) 65 (d) 67
  31. 31.What is the average of 36, 18, 16 and 46? (a) 28 (b) 31 (c) 29 (d) 30
  32. 32.What is the average of 86, 79, 83, 62, 76 and 40? (a) 72 (b) 71 (c) 73 (d) 70
  33. 33.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 62 (c) 70 (d) 10
  34. 34.What is the average of 17, 29, 21 and 41? (a) 28 (b) 36 (c) 26 (d) 27
  35. 35.What is the average of 58, 65, 61, 66 and 25? (a) 54 (b) 55 (c) 57 (d) 56
  36. 36.What is the average of 54, 52, 49 and 97? (a) 63 (b) 84 (c) 62 (d) 64
  37. 37.What is the average of all the whole numbers from 12 to 52? (a) 40 (b) 33 (c) 20 (d) 32
  38. 38.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 14 (c) 15 (d) 20
  39. 39.What is the average of all the whole numbers from 41 to 61? (a) 51 (b) 52 (c) 20 (d) 10
  40. 40.What is the average of 41, 31, 35 and 13? (a) 40 (b) 29 (c) 30 (d) 31

Answer key

  1. 31
  2. 49
  3. 53
  4. 50
  5. 44
  6. 43
  7. 91
  8. 63
  9. 2
  10. 21
  11. 14
  12. 53
  13. 106
  14. 43
  15. 60
  16. 36
  17. 9
  18. 44
  19. 30
  20. 23
  21. 29
  22. 44
  23. 49
  24. 35
  25. 79
  26. 70
  27. 44
  28. 58
  29. 38
  30. 65
  31. 29
  32. 71
  33. 70
  34. 27
  35. 55
  36. 63
  37. 32
  38. 14
  39. 51
  40. 30

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