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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 667 · 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 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 21 (d) 80
  2. 2.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 33 (c) 20 (d) 29
  3. 3.What is the average of all the whole numbers from 46 to 82? (a) 36 (b) 65 (c) 64 (d) 18
  4. 4.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 49? (a) 49 (b) 70 (c) 28 (d) 56
  5. 5.What is the average of all the whole numbers from 22 to 56? (a) 34 (b) 40 (c) 39 (d) 17
  6. 6.What is the average of all the whole numbers from 35 to 59? (a) 47 (b) 24 (c) 12 (d) 48
  7. 7.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 25 (b) 38 (c) 43 (d) 58
  8. 8.What is the average of 39, 41, 36, 60 and 64? (a) 60 (b) 48 (c) 47 (d) 49
  9. 9.What is the average of 65, 55, 43, 50, 57 and 48? (a) 55 (b) 52 (c) 54 (d) 53
  10. 10.What is the average of all the whole numbers from 9 to 37? (a) 24 (b) 14 (c) 23 (d) 28
  11. 11.What is the average of all the whole numbers from 57 to 87? (a) 15 (b) 72 (c) 30 (d) 73
  12. 12.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 10 (c) 11 (d) 12
  13. 13.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 29 (c) 28 (d) 100
  14. 14.What is the average of 45, 47, 62, 56 and 50? (a) 53 (b) 52 (c) 51 (d) 65
  15. 15.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 25 (b) 23 (c) 10 (d) 31
  16. 16.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 55 (b) 75 (c) 40 (d) 20
  17. 17.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 50 (c) 24 (d) 29
  18. 18.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 26? (a) 41 (b) 29 (c) 18 (d) 26
  19. 19.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 69 (b) 40 (c) 64 (d) 99
  20. 20.What is the average of all the whole numbers from 38 to 50? (a) 12 (b) 45 (c) 44 (d) 6
  21. 21.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 35 (b) 75 (c) 70 (d) 40
  22. 22.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 46 (c) 28 (d) 70
  23. 23.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 67 (c) 116 (d) 56
  24. 24.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 52? (a) 55 (b) 79 (c) 52 (d) 30
  25. 25.What is the average of 62, 57, 61, 34, 40 and 34? (a) 50 (b) 47 (c) 49 (d) 48
  26. 26.What is the average of 51, 58, 65, 47 and 54? (a) 57 (b) 54 (c) 55 (d) 56
  27. 27.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 64? (a) 70 (b) 112 (c) 54 (d) 64
  28. 28.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 24 (b) 84 (c) 68 (d) 64
  29. 29.What is the average of all the whole numbers from 54 to 70? (a) 16 (b) 8 (c) 62 (d) 63
  30. 30.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 12 (c) 42 (d) 35
  31. 31.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 29 (c) 27 (d) 26
  32. 32.What is the average of 34, 41, 47, 22, 34 and 38? (a) 37 (b) 36 (c) 38 (d) 35
  33. 33.What is the average of 45, 16, 44, 27 and 18? (a) 32 (b) 29 (c) 30 (d) 31
  34. 34.What is the average of 38, 41, 34 and 11? (a) 31 (b) 32 (c) 33 (d) 30
  35. 35.What is the average of 50, 42, 56 and 68? (a) 54 (b) 53 (c) 72 (d) 55
  36. 36.What is the average of all the whole numbers from 5 to 31? (a) 13 (b) 18 (c) 26 (d) 19
  37. 37.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 48 (c) 53 (d) 85
  38. 38.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 6 (b) 18 (c) 13 (d) 25
  39. 39.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 5 (c) 6 (d) 17
  40. 40.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 32 (c) 10 (d) 34

Answer key

  1. 80
  2. 45
  3. 64
  4. 70
  5. 39
  6. 47
  7. 58
  8. 48
  9. 53
  10. 23
  11. 72
  12. 11
  13. 28
  14. 52
  15. 31
  16. 55
  17. 50
  18. 41
  19. 99
  20. 44
  21. 70
  22. 70
  23. 116
  24. 79
  25. 48
  26. 55
  27. 112
  28. 84
  29. 62
  30. 42
  31. 26
  32. 36
  33. 30
  34. 31
  35. 54
  36. 18
  37. 85
  38. 18
  39. 5
  40. 40

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