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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 824 · 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 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 56 (c) 55 (d) 30
  2. 2.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 71 (c) 25 (d) 51
  3. 3.What is the average of 25, 24, 32, 26 and 23? (a) 27 (b) 26 (c) 25 (d) 28
  4. 4.What is the average of 20, 20, 27, 31, 15 and 43? (a) 26 (b) 28 (c) 25 (d) 27
  5. 5.What is the average of all the whole numbers from 25 to 55? (a) 30 (b) 40 (c) 41 (d) 15
  6. 6.What is the average of 63, 41, 40, 62, 38 and 44? (a) 48 (b) 49 (c) 47 (d) 50
  7. 7.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 24 (d) 43
  8. 8.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 50 (c) 20 (d) 34
  9. 9.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 16 (c) 14 (d) 13
  10. 10.What is the average of 48, 72, 49, 61 and 60? (a) 58 (b) 60 (c) 59 (d) 57
  11. 11.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 18 (b) 63 (c) 93 (d) 48
  12. 12.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 14 (c) 50 (d) 62
  13. 13.What is the average of 47, 47, 36 and 42? (a) 45 (b) 43 (c) 44 (d) 42
  14. 14.What is the average of all the whole numbers from 43 to 51? (a) 48 (b) 4 (c) 8 (d) 47
  15. 15.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 63 (b) 74 (c) 123 (d) 67
  16. 16.What is the average of all the whole numbers from 19 to 33? (a) 7 (b) 14 (c) 27 (d) 26
  17. 17.What is the average of 37, 49, 41, 30 and 23? (a) 36 (b) 35 (c) 45 (d) 37
  18. 18.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 35 (c) 43 (d) 64
  19. 19.What is the average of 31, 41, 50, 42 and 21? (a) 37 (b) 39 (c) 36 (d) 38
  20. 20.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 80 (b) 8 (c) 41 (d) 47
  21. 21.What is the average of 28, 29, 22, 40, 18 and 19? (a) 27 (b) 28 (c) 25 (d) 26
  22. 22.What is the average of 57, 48, 58 and 17? (a) 45 (b) 46 (c) 44 (d) 60
  23. 23.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 12 (b) 38 (c) 41 (d) 47
  24. 24.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 102 (b) 45 (c) 67 (d) 62
  25. 25.What is the average of 80, 74, 67, 88 and 86? (a) 78 (b) 79 (c) 81 (d) 80
  26. 26.What is the average of 17, 43, 35 and 33? (a) 34 (b) 31 (c) 32 (d) 33
  27. 27.What is the average of 27, 27, 48, 36 and 72? (a) 41 (b) 44 (c) 42 (d) 43
  28. 28.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 62 (c) 47 (d) 20
  29. 29.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 4 (c) 45 (d) 89
  30. 30.What is the average of all the whole numbers from 43 to 57? (a) 50 (b) 14 (c) 7 (d) 51
  31. 31.What is the average of 65, 61, 39 and 39? (a) 68 (b) 50 (c) 51 (d) 52
  32. 32.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 42 (c) 32 (d) 66
  33. 33.What is the average of 19, 29, 34, 32, 23 and 67? (a) 36 (b) 34 (c) 35 (d) 33
  34. 34.What is the average of all the whole numbers from 26 to 62? (a) 45 (b) 44 (c) 18 (d) 36
  35. 35.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 46? (a) 91 (b) 51 (c) 50 (d) 46
  36. 36.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 86 (b) 30 (c) 62 (d) 68
  37. 37.What is the average of all the whole numbers from 49 to 75? (a) 62 (b) 13 (c) 26 (d) 63
  38. 38.What is the average of all the whole numbers from 54 to 68? (a) 7 (b) 14 (c) 62 (d) 61
  39. 39.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 15 (b) 19 (c) 23 (d) 11
  40. 40.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 63 (b) 41 (c) 97 (d) 48

Answer key

  1. 55
  2. 71
  3. 26
  4. 26
  5. 40
  6. 48
  7. 39
  8. 50
  9. 13
  10. 58
  11. 63
  12. 62
  13. 43
  14. 47
  15. 123
  16. 26
  17. 36
  18. 64
  19. 37
  20. 47
  21. 26
  22. 45
  23. 47
  24. 102
  25. 79
  26. 32
  27. 42
  28. 62
  29. 48
  30. 50
  31. 51
  32. 66
  33. 34
  34. 44
  35. 91
  36. 86
  37. 62
  38. 61
  39. 23
  40. 97

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