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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 69 · 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 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 90 (c) 63 (d) 30
  2. 2.What is the average of all the whole numbers from 42 to 62? (a) 52 (b) 10 (c) 53 (d) 20
  3. 3.What is the average of 40, 53, 62 and 41? (a) 48 (b) 49 (c) 51 (d) 50
  4. 4.What is the average of all the whole numbers from 21 to 33? (a) 12 (b) 28 (c) 6 (d) 27
  5. 5.What is the average of all the whole numbers from 7 to 35? (a) 14 (b) 22 (c) 28 (d) 21
  6. 6.What is the average of all the whole numbers from 36 to 70? (a) 17 (b) 53 (c) 54 (d) 34
  7. 7.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 36 (b) 54 (c) 60 (d) 84
  8. 8.What is the average of all the whole numbers from 20 to 60? (a) 39 (b) 41 (c) 40 (d) 20
  9. 9.What is the average of 61, 57, 45, 48 and 44? (a) 52 (b) 50 (c) 53 (d) 51
  10. 10.What is the average of 29, 21, 37, 23, 14 and 32? (a) 25 (b) 26 (c) 27 (d) 28
  11. 11.What is the average of all the whole numbers from 51 to 67? (a) 59 (b) 8 (c) 60 (d) 16
  12. 12.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 44? (a) 44 (b) 56 (c) 15 (d) 47
  13. 13.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 26 (c) 61 (d) 13
  14. 14.What is the average of all the whole numbers from 40 to 62? (a) 52 (b) 51 (c) 11 (d) 22
  15. 15.What is the average of 36, 30, 42, 29, 43 and 24? (a) 33 (b) 36 (c) 34 (d) 35
  16. 16.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 31 (c) 63 (d) 40
  17. 17.What is the average of 29, 30, 38 and 31? (a) 32 (b) 31 (c) 34 (d) 33
  18. 18.What is the average of all the whole numbers from 20 to 42? (a) 32 (b) 31 (c) 11 (d) 22
  19. 19.What is the average of 62, 62, 67, 58 and 76? (a) 65 (b) 67 (c) 66 (d) 64
  20. 20.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 71 (c) 28 (d) 85
  21. 21.What is the average of all the whole numbers from 14 to 54? (a) 34 (b) 35 (c) 40 (d) 20
  22. 22.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 16 (b) 52 (c) 64 (d) 50
  23. 23.What is the average of all the whole numbers from 51 to 77? (a) 65 (b) 26 (c) 64 (d) 13
  24. 24.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 30 (b) 53 (c) 29 (d) 54
  25. 25.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 27 (b) 89 (c) 28 (d) 42
  26. 26.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 2 (c) 48 (d) 3
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 22 (b) 79 (c) 23 (d) 37
  28. 28.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 48 (b) 33 (c) 10 (d) 25
  29. 29.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 63 (b) 30 (c) 37 (d) 86
  30. 30.What is the average of 33, 22, 35 and 18? (a) 27 (b) 28 (c) 26 (d) 36
  31. 31.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 48? (a) 50 (b) 48 (c) 8 (d) 54
  32. 32.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 42? (a) 36 (b) 42 (c) 72 (d) 48
  33. 33.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 80 (b) 35 (c) 59 (d) 52
  34. 34.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 27 (b) 11 (c) 20 (d) 18
  35. 35.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 71 (b) 39 (c) 48 (d) 31
  36. 36.What is the average of 47, 50, 66 and 65? (a) 58 (b) 76 (c) 56 (d) 57
  37. 37.What is the average of all the whole numbers from 9 to 43? (a) 34 (b) 27 (c) 26 (d) 17
  38. 38.What is the average of all the whole numbers from 56 to 62? (a) 59 (b) 3 (c) 60 (d) 6
  39. 39.What is the average of 46, 46, 44, 47, 50 and 73? (a) 50 (b) 51 (c) 52 (d) 53
  40. 40.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 87 (c) 64 (d) 39

Answer key

  1. 90
  2. 52
  3. 49
  4. 27
  5. 21
  6. 53
  7. 84
  8. 40
  9. 51
  10. 26
  11. 59
  12. 56
  13. 61
  14. 51
  15. 34
  16. 63
  17. 32
  18. 31
  19. 65
  20. 85
  21. 34
  22. 64
  23. 64
  24. 54
  25. 27
  26. 2
  27. 22
  28. 33
  29. 86
  30. 27
  31. 54
  32. 72
  33. 80
  34. 27
  35. 71
  36. 57
  37. 26
  38. 59
  39. 51
  40. 87

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