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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 197 · 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.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 52 (b) 49 (c) 12 (d) 58
  2. 2.What is the average of all the whole numbers from 8 to 30? (a) 19 (b) 22 (c) 20 (d) 11
  3. 3.What is the average of 51, 27, 30 and 48? (a) 40 (b) 38 (c) 52 (d) 39
  4. 4.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 19 (b) 43 (c) 18 (d) 91
  5. 5.What is the average of all the whole numbers from 39 to 45? (a) 43 (b) 6 (c) 3 (d) 42
  6. 6.What is the average of all the whole numbers from 17 to 25? (a) 21 (b) 8 (c) 4 (d) 22
  7. 7.What is the average of 27, 42, 36 and 31? (a) 35 (b) 33 (c) 34 (d) 36
  8. 8.What is the average of 41, 32, 38, 41 and 38? (a) 39 (b) 37 (c) 38 (d) 40
  9. 9.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 24 (c) 5 (d) 20
  10. 10.What is the average of all the whole numbers from 8 to 16? (a) 8 (b) 4 (c) 13 (d) 12
  11. 11.What is the average of all the whole numbers from 52 to 70? (a) 9 (b) 18 (c) 62 (d) 61
  12. 12.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 95 (b) 30 (c) 75 (d) 50
  13. 13.What is the average of 41, 43, 44 and 72? (a) 51 (b) 49 (c) 52 (d) 50
  14. 14.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 56 (c) 7 (d) 99
  15. 15.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 16 (b) 42 (c) 38 (d) 50
  16. 16.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 12 (c) 69 (d) 59
  17. 17.What is the average of all the whole numbers from 44 to 62? (a) 53 (b) 9 (c) 18 (d) 54
  18. 18.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 72 (b) 44 (c) 37 (d) 42
  19. 19.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 55 (c) 6 (d) 33
  20. 20.What is the average of 66, 69, 93 and 88? (a) 80 (b) 79 (c) 81 (d) 78
  21. 21.What is the average of 69, 65, 58 and 48? (a) 59 (b) 80 (c) 60 (d) 61
  22. 22.What is the average of 28, 12, 35, 15, 11 and 19? (a) 24 (b) 20 (c) 21 (d) 19
  23. 23.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 18 (c) 64 (d) 50
  24. 24.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 23 (c) 45 (d) 4
  25. 25.What is the average of all the whole numbers from 14 to 46? (a) 16 (b) 30 (c) 31 (d) 32
  26. 26.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 18 (b) 66 (c) 52 (d) 50
  27. 27.What is the average of all the whole numbers from 60 to 66? (a) 64 (b) 63 (c) 6 (d) 3
  28. 28.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 52 (c) 70 (d) 108
  29. 29.What is the average of 48, 43, 32 and 37? (a) 41 (b) 40 (c) 39 (d) 42
  30. 30.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 103 (c) 60 (d) 55
  31. 31.What is the average of all the whole numbers from 9 to 27? (a) 9 (b) 17 (c) 18 (d) 19
  32. 32.What is the average of all the whole numbers from 44 to 70? (a) 58 (b) 26 (c) 13 (d) 57
  33. 33.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 24 (c) 50 (d) 34
  34. 34.What is the average of 15, 20, 15, 25 and 40? (a) 24 (b) 22 (c) 25 (d) 23
  35. 35.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 59 (c) 30 (d) 77
  36. 36.What is the average of 68, 44, 41, 39 and 78? (a) 53 (b) 55 (c) 54 (d) 56
  37. 37.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 7 (b) 8 (c) 27 (d) 59
  38. 38.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 20 (c) 19 (d) 29
  39. 39.What is the average of 35, 27, 20 and 14? (a) 24 (b) 25 (c) 32 (d) 23
  40. 40.What is the average of all the whole numbers from 23 to 33? (a) 10 (b) 29 (c) 5 (d) 28

Answer key

  1. 58
  2. 19
  3. 39
  4. 18
  5. 42
  6. 21
  7. 34
  8. 38
  9. 24
  10. 12
  11. 61
  12. 75
  13. 50
  14. 56
  15. 50
  16. 69
  17. 53
  18. 72
  19. 33
  20. 79
  21. 60
  22. 20
  23. 64
  24. 26
  25. 30
  26. 66
  27. 63
  28. 108
  29. 40
  30. 103
  31. 18
  32. 57
  33. 50
  34. 23
  35. 77
  36. 54
  37. 7
  38. 19
  39. 24
  40. 28

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