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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 479 · 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 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 12 (b) 23 (c) 25 (d) 33
  2. 2.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 60 (c) 18 (d) 72
  3. 3.What is the average of 70, 51, 57 and 42? (a) 56 (b) 55 (c) 54 (d) 57
  4. 4.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 25 (b) 19 (c) 12 (d) 32
  5. 5.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 36? (a) 36 (b) 80 (c) 44 (d) 108
  6. 6.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 12 (c) 18 (d) 23
  7. 7.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 52? (a) 57 (b) 45 (c) 52 (d) 92
  8. 8.What is the average of all the whole numbers from 53 to 67? (a) 60 (b) 14 (c) 61 (d) 7
  9. 9.What is the average of all the whole numbers from 27 to 65? (a) 46 (b) 47 (c) 19 (d) 38
  10. 10.What is the average of 65, 61, 47, 75 and 57? (a) 61 (b) 60 (c) 63 (d) 62
  11. 11.What is the average of all the whole numbers from 40 to 70? (a) 15 (b) 30 (c) 56 (d) 55
  12. 12.What is the average of 38, 47, 19, 23, 33 and 44? (a) 36 (b) 35 (c) 33 (d) 34
  13. 13.What is the average of all the whole numbers from 21 to 41? (a) 10 (b) 20 (c) 32 (d) 31
  14. 14.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 29 (c) 56 (d) 32
  15. 15.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 56 (c) 35 (d) 26
  16. 16.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 30 (b) 45 (c) 95 (d) 31
  17. 17.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 48 (c) 97 (d) 45
  18. 18.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 10 (c) 48 (d) 40
  19. 19.What is the average of all the whole numbers from 57 to 73? (a) 66 (b) 65 (c) 8 (d) 16
  20. 20.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 73 (c) 20 (d) 63
  21. 21.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 61 (c) 67 (d) 36
  22. 22.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 6 (b) 11 (c) 5 (d) 23
  23. 23.What is the average of 57, 53, 51, 78, 53 and 86? (a) 64 (b) 62 (c) 63 (d) 65
  24. 24.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 46 (c) 27 (d) 67
  25. 25.What is the average of 56, 75, 84, 77 and 58? (a) 72 (b) 70 (c) 71 (d) 69
  26. 26.What is the average of all the whole numbers from 45 to 61? (a) 54 (b) 53 (c) 8 (d) 16
  27. 27.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 20 (c) 26 (d) 31
  28. 28.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 30 (b) 61 (c) 41 (d) 36
  29. 29.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 34 (b) 3 (c) 4 (d) 15
  30. 30.What is the average of all the whole numbers from 20 to 52? (a) 16 (b) 37 (c) 32 (d) 36
  31. 31.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 31? (a) 72 (b) 31 (c) 95 (d) 39
  32. 32.What is the average of all the whole numbers from 19 to 31? (a) 12 (b) 26 (c) 6 (d) 25
  33. 33.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 67 (b) 35 (c) 37 (d) 42
  34. 34.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 24 (c) 59 (d) 75
  35. 35.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 48 (c) 12 (d) 57
  36. 36.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 52 (b) 30 (c) 51 (d) 27
  37. 37.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 65 (c) 20 (d) 19
  38. 38.What is the average of all the whole numbers from 14 to 28? (a) 7 (b) 14 (c) 22 (d) 21
  39. 39.What is the average of 70, 77, 91, 88, 90 and 64? (a) 81 (b) 79 (c) 96 (d) 80
  40. 40.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 59 (b) 35 (c) 31 (d) 32

Answer key

  1. 33
  2. 72
  3. 55
  4. 32
  5. 108
  6. 18
  7. 92
  8. 60
  9. 46
  10. 61
  11. 55
  12. 34
  13. 31
  14. 56
  15. 56
  16. 30
  17. 44
  18. 48
  19. 65
  20. 73
  21. 61
  22. 5
  23. 63
  24. 67
  25. 70
  26. 53
  27. 31
  28. 61
  29. 3
  30. 36
  31. 95
  32. 25
  33. 67
  34. 75
  35. 57
  36. 51
  37. 19
  38. 21
  39. 80
  40. 59

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