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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 661 · 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 77, 85, 81, 84 and 23? (a) 70 (b) 69 (c) 71 (d) 72
  2. 2.What is the average of 68, 71, 87, 86, 93 and 69? (a) 79 (b) 80 (c) 81 (d) 78
  3. 3.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 66 (b) 51 (c) 21 (d) 48
  4. 4.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 40 (b) 25 (c) 35 (d) 20
  5. 5.What is the average of all the whole numbers from 30 to 38? (a) 8 (b) 34 (c) 35 (d) 4
  6. 6.What is the average of all the whole numbers from 18 to 26? (a) 23 (b) 22 (c) 8 (d) 4
  7. 7.What is the average of all the whole numbers from 46 to 82? (a) 65 (b) 18 (c) 64 (d) 36
  8. 8.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 33 (b) 24 (c) 12 (d) 21
  9. 9.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 24 (b) 48 (c) 52 (d) 68
  10. 10.What is the average of 38, 36, 65, 39 and 72? (a) 51 (b) 49 (c) 52 (d) 50
  11. 11.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 28 (c) 18 (d) 23
  12. 12.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 81 (c) 34 (d) 33
  13. 13.What is the average of 58, 53, 37 and 52? (a) 50 (b) 51 (c) 49 (d) 52
  14. 14.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 16 (b) 17 (c) 92 (d) 44
  15. 15.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 92 (c) 28 (d) 29
  16. 16.What is the average of all the whole numbers from 38 to 72? (a) 34 (b) 17 (c) 56 (d) 55
  17. 17.What is the average of 75, 63, 59, 65, 63 and 113? (a) 75 (b) 72 (c) 74 (d) 73
  18. 18.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 15 (c) 10 (d) 9
  19. 19.What is the average of all the whole numbers from 19 to 51? (a) 16 (b) 32 (c) 36 (d) 35
  20. 20.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 15 (b) 16 (c) 27 (d) 58
  21. 21.What is the average of all the whole numbers from 12 to 30? (a) 9 (b) 22 (c) 18 (d) 21
  22. 22.What is the average of all the whole numbers from 15 to 53? (a) 19 (b) 34 (c) 35 (d) 38
  23. 23.What is the average of 28, 44, 48, 30 and 15? (a) 34 (b) 32 (c) 33 (d) 35
  24. 24.What is the average of all the whole numbers from 10 to 48? (a) 38 (b) 19 (c) 30 (d) 29
  25. 25.What is the average of all the whole numbers from 17 to 53? (a) 35 (b) 18 (c) 34 (d) 36
  26. 26.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 60 (b) 61 (c) 32 (d) 59
  27. 27.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 15 (c) 20 (d) 37
  28. 28.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 43 (c) 34 (d) 15
  29. 29.What is the average of all the whole numbers from 55 to 77? (a) 22 (b) 67 (c) 66 (d) 11
  30. 30.What is the average of all the whole numbers from 17 to 45? (a) 28 (b) 31 (c) 32 (d) 14
  31. 31.What is the average of 34, 54, 57 and 35? (a) 60 (b) 45 (c) 44 (d) 46
  32. 32.What is the average of 70, 55, 79, 79 and 52? (a) 69 (b) 66 (c) 67 (d) 68
  33. 33.What is the average of all the whole numbers from 24 to 40? (a) 32 (b) 8 (c) 16 (d) 33
  34. 34.What is the average of 68, 44, 59, 48 and 61? (a) 55 (b) 57 (c) 56 (d) 70
  35. 35.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 72 (b) 38 (c) 94 (d) 30
  36. 36.What is the average of 40, 42, 38, 23 and 7? (a) 31 (b) 29 (c) 30 (d) 32
  37. 37.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 78 (b) 77 (c) 42 (d) 49
  38. 38.What is the average of all the whole numbers from 35 to 67? (a) 52 (b) 51 (c) 32 (d) 16
  39. 39.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 59 (b) 49 (c) 94 (d) 52
  40. 40.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 20 (c) 9 (d) 8

Answer key

  1. 70
  2. 79
  3. 66
  4. 40
  5. 34
  6. 22
  7. 64
  8. 33
  9. 68
  10. 50
  11. 28
  12. 33
  13. 50
  14. 16
  15. 28
  16. 55
  17. 73
  18. 9
  19. 35
  20. 15
  21. 21
  22. 34
  23. 33
  24. 29
  25. 35
  26. 60
  27. 32
  28. 43
  29. 66
  30. 31
  31. 45
  32. 67
  33. 32
  34. 56
  35. 94
  36. 30
  37. 77
  38. 51
  39. 94
  40. 8

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