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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 671 · 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.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 60 (c) 48 (d) 16
  2. 2.What is the average of all the whole numbers from 43 to 83? (a) 40 (b) 63 (c) 64 (d) 20
  3. 3.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 14 (b) 42 (c) 15 (d) 88
  4. 4.What is the average of 32, 48, 50 and 54? (a) 48 (b) 47 (c) 46 (d) 45
  5. 5.What is the average of 52, 81, 73, 72, 78 and 46? (a) 68 (b) 66 (c) 69 (d) 67
  6. 6.What is the average of 64, 36, 42 and 54? (a) 50 (b) 49 (c) 51 (d) 48
  7. 7.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 34 (b) 16 (c) 2 (d) 3
  8. 8.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 45 (b) 10 (c) 40 (d) 15
  9. 9.What is the average of all the whole numbers from 40 to 56? (a) 16 (b) 8 (c) 49 (d) 48
  10. 10.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 48 (b) 20 (c) 36 (d) 32
  11. 11.What is the average of 57, 36, 46, 38 and 38? (a) 42 (b) 44 (c) 43 (d) 45
  12. 12.What is the average of all the whole numbers from 10 to 32? (a) 21 (b) 20 (c) 11 (d) 22
  13. 13.What is the average of 53, 51, 53 and 43? (a) 51 (b) 49 (c) 50 (d) 52
  14. 14.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 34 (c) 35 (d) 62
  15. 15.What is the average of 75, 82, 91 and 64? (a) 77 (b) 104 (c) 78 (d) 79
  16. 16.What is the average of 84, 66, 59 and 83? (a) 75 (b) 74 (c) 73 (d) 72
  17. 17.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 64? (a) 24 (b) 82 (c) 70 (d) 64
  18. 18.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 28 (b) 51 (c) 58 (d) 72
  19. 19.What is the average of 68, 60, 61 and 67? (a) 65 (b) 63 (c) 66 (d) 64
  20. 20.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) 19 (b) 12 (c) 32 (d) 25
  21. 21.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) 61 (b) 41 (c) 30 (d) 36
  22. 22.What is the average of all the whole numbers from 56 to 86? (a) 72 (b) 71 (c) 15 (d) 30
  23. 23.What is the average of all the whole numbers from 56 to 90? (a) 34 (b) 17 (c) 74 (d) 73
  24. 24.What is the average of all the whole numbers from 9 to 37? (a) 28 (b) 14 (c) 23 (d) 24
  25. 25.What is the average of 39, 36, 39, 52, 35 and 27? (a) 37 (b) 39 (c) 40 (d) 38
  26. 26.What is the average of all the whole numbers from 59 to 67? (a) 4 (b) 63 (c) 8 (d) 64
  27. 27.What is the average of 25, 23, 35 and 5? (a) 21 (b) 23 (c) 22 (d) 24
  28. 28.What is the average of 30, 51, 30, 33 and 51? (a) 39 (b) 41 (c) 40 (d) 38
  29. 29.What is the average of 37, 41, 57, 47, 50 and 62? (a) 48 (b) 50 (c) 51 (d) 49
  30. 30.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 35 (c) 19 (d) 49
  31. 31.What is the average of 86, 74, 75, 87, 90 and 56? (a) 78 (b) 79 (c) 80 (d) 77
  32. 32.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 60 (c) 15 (d) 72
  33. 33.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 73 (c) 50 (d) 33
  34. 34.What is the average of 64, 43, 42, 57, 45 and 49? (a) 49 (b) 51 (c) 50 (d) 60
  35. 35.What is the average of 44, 62, 41 and 73? (a) 56 (b) 55 (c) 57 (d) 54
  36. 36.What is the average of all the whole numbers from 42 to 66? (a) 55 (b) 24 (c) 54 (d) 12
  37. 37.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 31? (a) 33 (b) 39 (c) 31 (d) 10
  38. 38.What is the average of 58, 62, 88, 65, 68 and 97? (a) 72 (b) 74 (c) 73 (d) 75
  39. 39.What is the average of all the whole numbers from 7 to 39? (a) 23 (b) 24 (c) 32 (d) 16
  40. 40.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 37? (a) 45 (b) 69 (c) 40 (d) 37

Answer key

  1. 60
  2. 63
  3. 14
  4. 46
  5. 67
  6. 49
  7. 2
  8. 45
  9. 48
  10. 48
  11. 43
  12. 21
  13. 50
  14. 62
  15. 78
  16. 73
  17. 82
  18. 72
  19. 64
  20. 32
  21. 61
  22. 71
  23. 73
  24. 23
  25. 38
  26. 63
  27. 22
  28. 39
  29. 49
  30. 49
  31. 78
  32. 72
  33. 73
  34. 50
  35. 55
  36. 54
  37. 39
  38. 73
  39. 23
  40. 69

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