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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 91 · 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 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 64 (c) 46 (d) 30
  2. 2.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 65? (a) 63 (b) 72 (c) 65 (d) 121
  3. 3.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) 59 (b) 8 (c) 7 (d) 27
  4. 4.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 54 (d) 107
  5. 5.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 46 (c) 42 (d) 74
  6. 6.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 4 (b) 35 (c) 63 (d) 32
  7. 7.What is the average of all the whole numbers from 24 to 48? (a) 37 (b) 36 (c) 12 (d) 24
  8. 8.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 12 (c) 48 (d) 38
  9. 9.What is the average of all the whole numbers from 34 to 62? (a) 49 (b) 48 (c) 14 (d) 28
  10. 10.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 21 (b) 35 (c) 50 (d) 32
  11. 11.What is the average of all the whole numbers from 21 to 29? (a) 8 (b) 25 (c) 4 (d) 26
  12. 12.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 29 (c) 28 (d) 38
  13. 13.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 129 (c) 65 (d) 80
  14. 14.What is the average of all the whole numbers from 13 to 27? (a) 7 (b) 14 (c) 20 (d) 21
  15. 15.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 28 (c) 37 (d) 61
  16. 16.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 56 (c) 68 (d) 15
  17. 17.What is the average of 23, 19, 34, 26 and 43? (a) 28 (b) 31 (c) 29 (d) 30
  18. 18.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 14 (c) 22 (d) 15
  19. 19.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 13 (c) 16 (d) 4
  20. 20.What is the average of all the whole numbers from 59 to 69? (a) 10 (b) 64 (c) 65 (d) 5
  21. 21.What is the average of all the whole numbers from 41 to 79? (a) 61 (b) 60 (c) 38 (d) 19
  22. 22.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 11 (b) 10 (c) 42 (d) 20
  23. 23.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 16 (b) 41 (c) 15 (d) 20
  24. 24.What is the average of 55, 80, 65 and 60? (a) 67 (b) 65 (c) 64 (d) 66
  25. 25.What is the average of 34, 21, 42, 19, 23 and 53? (a) 31 (b) 33 (c) 34 (d) 32
  26. 26.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 30 (d) 14
  27. 27.What is the average of 53, 58, 46, 30 and 33? (a) 44 (b) 43 (c) 55 (d) 45
  28. 28.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 84 (c) 63 (d) 35
  29. 29.What is the average of all the whole numbers from 50 to 62? (a) 6 (b) 57 (c) 56 (d) 12
  30. 30.What is the average of all the whole numbers from 25 to 31? (a) 3 (b) 28 (c) 6 (d) 29
  31. 31.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 14 (c) 22 (d) 18
  32. 32.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 71 (b) 40 (c) 39 (d) 35
  33. 33.What is the average of 11, 36, 17 and 20? (a) 20 (b) 28 (c) 22 (d) 21
  34. 34.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 29 (c) 21 (d) 40
  35. 35.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 29 (c) 32 (d) 17
  36. 36.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 51 (b) 7 (c) 6 (d) 24
  37. 37.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 35 (b) 67 (c) 60 (d) 88
  38. 38.What is the average of all the whole numbers from 14 to 38? (a) 24 (b) 27 (c) 12 (d) 26
  39. 39.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 35 (c) 72 (d) 51
  40. 40.What is the average of 58, 39, 47, 55 and 56? (a) 50 (b) 53 (c) 52 (d) 51

Answer key

  1. 64
  2. 121
  3. 7
  4. 107
  5. 74
  6. 35
  7. 36
  8. 48
  9. 48
  10. 50
  11. 25
  12. 28
  13. 129
  14. 20
  15. 61
  16. 68
  17. 29
  18. 14
  19. 16
  20. 64
  21. 60
  22. 10
  23. 15
  24. 65
  25. 32
  26. 30
  27. 44
  28. 84
  29. 56
  30. 28
  31. 22
  32. 71
  33. 21
  34. 29
  35. 29
  36. 6
  37. 88
  38. 26
  39. 72
  40. 51

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