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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 78 · 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 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 34 (c) 55 (d) 35
  2. 2.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 24 (c) 55 (d) 43
  3. 3.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 124 (b) 68 (c) 72 (d) 60
  4. 4.What is the average of 73, 79, 56, 74 and 38? (a) 80 (b) 65 (c) 64 (d) 63
  5. 5.What is the average of 24, 14, 16 and 34? (a) 22 (b) 23 (c) 21 (d) 24
  6. 6.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 83 (b) 24 (c) 43 (d) 64
  7. 7.What is the average of 85, 75, 87, 76, 91 and 60? (a) 78 (b) 81 (c) 80 (d) 79
  8. 8.What is the average of all the whole numbers from 27 to 59? (a) 16 (b) 43 (c) 32 (d) 44
  9. 9.What is the average of 22, 29, 18 and 59? (a) 32 (b) 31 (c) 34 (d) 33
  10. 10.What is the average of all the whole numbers from 48 to 70? (a) 59 (b) 60 (c) 22 (d) 11
  11. 11.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 7 (b) 52 (c) 91 (d) 46
  12. 12.What is the average of 24, 11, 17, 9, 27 and 50? (a) 24 (b) 22 (c) 25 (d) 23
  13. 13.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 31 (c) 18 (d) 29
  14. 14.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 72 (b) 32 (c) 40 (d) 48
  15. 15.What is the average of 8, 35, 10 and 27? (a) 22 (b) 20 (c) 21 (d) 19
  16. 16.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 65 (c) 28 (d) 14
  17. 17.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 48 (b) 32 (c) 30 (d) 20
  18. 18.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 37 (c) 43 (d) 73
  19. 19.What is the average of 64, 39, 35 and 58? (a) 51 (b) 50 (c) 48 (d) 49
  20. 20.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 67 (c) 54 (d) 109
  21. 21.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 44? (a) 80 (b) 44 (c) 116 (d) 52
  22. 22.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 27 (c) 74 (d) 53
  23. 23.What is the average of all the whole numbers from 8 to 36? (a) 28 (b) 22 (c) 23 (d) 14
  24. 24.What is the average of all the whole numbers from 21 to 37? (a) 8 (b) 16 (c) 30 (d) 29
  25. 25.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 5 (c) 14 (d) 27
  26. 26.What is the average of 21, 35, 38 and 46? (a) 35 (b) 34 (c) 37 (d) 36
  27. 27.What is the average of 67, 43, 55, 46, 68 and 69? (a) 57 (b) 59 (c) 60 (d) 58
  28. 28.What is the average of 59, 58, 67, 54 and 27? (a) 53 (b) 55 (c) 54 (d) 52
  29. 29.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 59 (c) 14 (d) 47
  30. 30.What is the average of 70, 53, 48 and 77? (a) 64 (b) 61 (c) 63 (d) 62
  31. 31.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 16 (c) 37 (d) 29
  32. 32.What is the average of all the whole numbers from 34 to 56? (a) 46 (b) 11 (c) 45 (d) 22
  33. 33.What is the average of all the whole numbers from 39 to 63? (a) 51 (b) 24 (c) 52 (d) 12
  34. 34.What is the average of 58, 52, 63, 50 and 72? (a) 59 (b) 61 (c) 58 (d) 60
  35. 35.What is the average of all the whole numbers from 15 to 45? (a) 29 (b) 31 (c) 15 (d) 30
  36. 36.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 103 (b) 63 (c) 55 (d) 56
  37. 37.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 18 (b) 43 (c) 53 (d) 28
  38. 38.What is the average of all the whole numbers from 28 to 52? (a) 41 (b) 40 (c) 24 (d) 12
  39. 39.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 28 (c) 46 (d) 53
  40. 40.What is the average of all the whole numbers from 7 to 33? (a) 21 (b) 26 (c) 20 (d) 13

Answer key

  1. 55
  2. 55
  3. 124
  4. 64
  5. 22
  6. 64
  7. 79
  8. 43
  9. 32
  10. 59
  11. 52
  12. 23
  13. 31
  14. 72
  15. 20
  16. 64
  17. 48
  18. 73
  19. 49
  20. 109
  21. 116
  22. 74
  23. 22
  24. 29
  25. 18
  26. 35
  27. 58
  28. 53
  29. 59
  30. 62
  31. 37
  32. 45
  33. 51
  34. 59
  35. 30
  36. 103
  37. 43
  38. 40
  39. 46
  40. 20

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