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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 645 · 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.What is the average of all the whole numbers from 21 to 35? (a) 28 (b) 14 (c) 29 (d) 7
  2. 2.What is the average of all the whole numbers from 20 to 60? (a) 40 (b) 20 (c) 41 (d) 39
  3. 3.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 12 (c) 28 (d) 37
  4. 4.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 59 (c) 41 (d) 20
  5. 5.What is the average of 66, 63, 69 and 98? (a) 75 (b) 76 (c) 74 (d) 73
  6. 6.What is the average of 63, 61, 70 and 54? (a) 62 (b) 63 (c) 61 (d) 64
  7. 7.What is the average of 80, 72, 59, 54 and 60? (a) 66 (b) 67 (c) 64 (d) 65
  8. 8.What is the average of all the whole numbers from 34 to 48? (a) 14 (b) 42 (c) 7 (d) 41
  9. 9.What is the average of 31, 59, 59, 32, 53 and 30? (a) 43 (b) 46 (c) 45 (d) 44
  10. 10.What is the average of all the whole numbers from 46 to 76? (a) 61 (b) 15 (c) 30 (d) 62
  11. 11.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 46 (c) 45 (d) 81
  12. 12.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 12 (c) 63 (d) 62
  13. 13.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 16 (c) 66 (d) 74
  14. 14.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 35 (c) 19 (d) 20
  15. 15.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 48 (b) 88 (c) 43 (d) 50
  16. 16.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 64 (c) 36 (d) 84
  17. 17.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 28? (a) 28 (b) 33 (c) 40 (d) 63
  18. 18.What is the average of 28, 7, 34 and 19? (a) 22 (b) 23 (c) 24 (d) 21
  19. 19.What is the average of all the whole numbers from 49 to 79? (a) 65 (b) 15 (c) 64 (d) 30
  20. 20.What is the average of all the whole numbers from 42 to 58? (a) 16 (b) 51 (c) 50 (d) 8
  21. 21.What is the average of 57, 52, 47 and 72? (a) 58 (b) 56 (c) 76 (d) 57
  22. 22.What is the average of 30, 34, 29, 8 and 14? (a) 25 (b) 24 (c) 23 (d) 22
  23. 23.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 15 (d) 66
  24. 24.What is the average of all the whole numbers from 9 to 43? (a) 27 (b) 17 (c) 34 (d) 26
  25. 25.What is the average of all the whole numbers from 47 to 83? (a) 36 (b) 18 (c) 65 (d) 66
  26. 26.What is the average of all the whole numbers from 53 to 79? (a) 66 (b) 26 (c) 13 (d) 67
  27. 27.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 14 (b) 15 (c) 20 (d) 41
  28. 28.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 16 (b) 48 (c) 40 (d) 36
  29. 29.What is the average of 74, 61, 65, 74, 79 and 103? (a) 77 (b) 76 (c) 78 (d) 75
  30. 30.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 6 (c) 29 (d) 20
  31. 31.What is the average of 35, 13, 37, 36 and 19? (a) 35 (b) 28 (c) 29 (d) 27
  32. 32.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 24 (b) 59 (c) 25 (d) 29
  33. 33.What is the average of all the whole numbers from 58 to 98? (a) 78 (b) 40 (c) 79 (d) 20
  34. 34.What is the average of all the whole numbers from 53 to 83? (a) 15 (b) 30 (c) 69 (d) 68
  35. 35.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 39? (a) 18 (b) 39 (c) 54 (d) 42
  36. 36.What is the average of 67, 75, 70, 82 and 46? (a) 68 (b) 69 (c) 85 (d) 67
  37. 37.What is the average of 80, 71, 65, 73, 68 and 69? (a) 73 (b) 70 (c) 72 (d) 71
  38. 38.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 54 (c) 81 (d) 33
  39. 39.What is the average of 34, 33, 57, 37 and 54? (a) 44 (b) 45 (c) 43 (d) 42
  40. 40.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 40 (c) 72 (d) 37

Answer key

  1. 28
  2. 40
  3. 37
  4. 59
  5. 74
  6. 62
  7. 65
  8. 41
  9. 44
  10. 61
  11. 81
  12. 62
  13. 74
  14. 35
  15. 88
  16. 84
  17. 63
  18. 22
  19. 64
  20. 50
  21. 57
  22. 23
  23. 66
  24. 26
  25. 65
  26. 66
  27. 14
  28. 48
  29. 76
  30. 20
  31. 28
  32. 24
  33. 78
  34. 68
  35. 54
  36. 68
  37. 71
  38. 81
  39. 43
  40. 72

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