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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 635 · 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 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 51 (c) 35 (d) 20
  2. 2.What is the average of all the whole numbers from 30 to 70? (a) 40 (b) 50 (c) 20 (d) 51
  3. 3.What is the average of 50, 32, 37 and 41? (a) 42 (b) 41 (c) 40 (d) 39
  4. 4.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 70 (b) 71 (c) 35 (d) 40
  5. 5.What is the average of all the whole numbers from 40 to 64? (a) 12 (b) 52 (c) 24 (d) 53
  6. 6.What is the average of all the whole numbers from 28 to 50? (a) 39 (b) 11 (c) 40 (d) 22
  7. 7.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 52 (c) 20 (d) 64
  8. 8.What is the average of 47, 45, 65 and 67? (a) 57 (b) 58 (c) 56 (d) 55
  9. 9.What is the average of all the whole numbers from 23 to 55? (a) 40 (b) 39 (c) 16 (d) 32
  10. 10.What is the average of all the whole numbers from 21 to 33? (a) 12 (b) 28 (c) 6 (d) 27
  11. 11.What is the average of 45, 51, 44, 46 and 69? (a) 53 (b) 50 (c) 52 (d) 51
  12. 12.What is the average of 37, 42, 40 and 9? (a) 34 (b) 33 (c) 31 (d) 32
  13. 13.What is the average of all the whole numbers from 9 to 41? (a) 32 (b) 26 (c) 16 (d) 25
  14. 14.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 4 (c) 37 (d) 19
  15. 15.What is the average of 42, 28, 14 and 32? (a) 29 (b) 28 (c) 30 (d) 31
  16. 16.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 28 (b) 58 (c) 79 (d) 65
  17. 17.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 17 (c) 37 (d) 30
  18. 18.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 28 (c) 62 (d) 86
  19. 19.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 30 (c) 53 (d) 71
  20. 20.What is the average of 66, 50, 49 and 67? (a) 59 (b) 57 (c) 58 (d) 60
  21. 21.What is the average of all the whole numbers from 47 to 55? (a) 51 (b) 8 (c) 52 (d) 4
  22. 22.What is the average of 53, 51, 30, 48 and 23? (a) 40 (b) 43 (c) 41 (d) 42
  23. 23.What is the average of 20, 23, 23 and 26? (a) 25 (b) 23 (c) 24 (d) 22
  24. 24.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 60 (c) 47 (d) 101
  25. 25.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 30 (b) 75 (c) 31 (d) 37
  26. 26.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 16 (b) 17 (c) 43 (d) 21
  27. 27.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 16 (c) 18 (d) 15
  28. 28.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 35 (b) 64 (c) 63 (d) 34
  29. 29.What is the average of all the whole numbers from 35 to 67? (a) 16 (b) 52 (c) 32 (d) 51
  30. 30.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 46 (b) 34 (c) 37 (d) 15
  31. 31.What is the average of 59, 72, 62 and 47? (a) 59 (b) 61 (c) 80 (d) 60
  32. 32.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 44 (c) 76 (d) 77
  33. 33.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 5 (b) 31 (c) 20 (d) 16
  34. 34.What is the average of all the whole numbers from 37 to 75? (a) 57 (b) 19 (c) 56 (d) 38
  35. 35.What is the average of 70, 75, 62, 71, 56 and 62? (a) 68 (b) 67 (c) 65 (d) 66
  36. 36.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 34? (a) 74 (b) 34 (c) 48 (d) 42
  37. 37.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 57 (c) 40 (d) 39
  38. 38.What is the average of all the whole numbers from 19 to 55? (a) 18 (b) 37 (c) 38 (d) 36
  39. 39.What is the average of 65, 88, 65, 78, 70 and 102? (a) 77 (b) 79 (c) 80 (d) 78
  40. 40.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 41 (b) 19 (c) 2 (d) 1

Answer key

  1. 51
  2. 50
  3. 40
  4. 70
  5. 52
  6. 39
  7. 64
  8. 56
  9. 39
  10. 27
  11. 51
  12. 32
  13. 25
  14. 22
  15. 29
  16. 79
  17. 37
  18. 86
  19. 71
  20. 58
  21. 51
  22. 41
  23. 23
  24. 101
  25. 30
  26. 16
  27. 15
  28. 64
  29. 51
  30. 46
  31. 60
  32. 76
  33. 20
  34. 56
  35. 66
  36. 74
  37. 57
  38. 37
  39. 78
  40. 1

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