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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 822 · 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 65, 68, 60 and 59? (a) 84 (b) 63 (c) 62 (d) 64
  2. 2.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 17 (c) 20 (d) 26
  3. 3.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 68 (b) 48 (c) 44 (d) 28
  4. 4.What is the average of 46, 22, 45, 20, 23 and 54? (a) 34 (b) 36 (c) 35 (d) 42
  5. 5.What is the average of 23, 12, 23, 32, 28 and 44? (a) 26 (b) 28 (c) 27 (d) 29
  6. 6.What is the average of all the whole numbers from 53 to 77? (a) 24 (b) 65 (c) 66 (d) 12
  7. 7.What is the average of all the whole numbers from 9 to 31? (a) 21 (b) 22 (c) 20 (d) 11
  8. 8.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 7 (b) 12 (c) 25 (d) 8
  9. 9.What is the average of 57, 69, 66, 62, 50 and 32? (a) 55 (b) 58 (c) 57 (d) 56
  10. 10.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 21 (c) 41 (d) 25
  11. 11.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 113 (c) 60 (d) 65
  12. 12.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 9 (c) 51 (d) 10
  13. 13.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 45 (c) 30 (d) 32
  14. 14.What is the average of all the whole numbers from 44 to 60? (a) 52 (b) 53 (c) 16 (d) 8
  15. 15.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 25 (c) 58 (d) 73
  16. 16.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 35 (b) 41 (c) 46 (d) 71
  17. 17.What is the average of all the whole numbers from 32 to 40? (a) 36 (b) 4 (c) 8 (d) 37
  18. 18.What is the average of 59, 39, 41, 60, 60 and 29? (a) 49 (b) 48 (c) 47 (d) 50
  19. 19.What is the average of 30, 22, 30, 27, 45 and 68? (a) 38 (b) 37 (c) 36 (d) 39
  20. 20.What is the average of all the whole numbers from 48 to 56? (a) 4 (b) 53 (c) 8 (d) 52
  21. 21.What is the average of all the whole numbers from 53 to 63? (a) 5 (b) 10 (c) 59 (d) 58
  22. 22.What is the average of all the whole numbers from 15 to 29? (a) 23 (b) 14 (c) 22 (d) 7
  23. 23.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 65 (b) 12 (c) 57 (d) 55
  24. 24.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 75 (c) 63 (d) 15
  25. 25.What is the average of 53, 66, 69, 58 and 69? (a) 63 (b) 64 (c) 62 (d) 65
  26. 26.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 58 (c) 30 (d) 61
  27. 27.What is the average of 80, 53, 69 and 58? (a) 66 (b) 65 (c) 64 (d) 67
  28. 28.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 7 (c) 15 (d) 32
  29. 29.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 20 (c) 28 (d) 10
  30. 30.What is the average of all the whole numbers from 14 to 42? (a) 14 (b) 29 (c) 27 (d) 28
  31. 31.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 75 (c) 22 (d) 21
  32. 32.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 43 (c) 87 (d) 41
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 77 (c) 19 (d) 37
  34. 34.What is the average of 71, 89, 80, 77 and 83? (a) 100 (b) 79 (c) 81 (d) 80
  35. 35.What is the average of 30, 27, 14 and 13? (a) 21 (b) 28 (c) 20 (d) 22
  36. 36.What is the average of all the whole numbers from 43 to 67? (a) 56 (b) 12 (c) 24 (d) 55
  37. 37.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 55 (b) 37 (c) 34 (d) 24
  38. 38.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 36 (b) 78 (c) 46 (d) 50
  39. 39.What is the average of all the whole numbers from 7 to 23? (a) 14 (b) 8 (c) 16 (d) 15
  40. 40.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 94 (b) 63 (c) 45 (d) 38

Answer key

  1. 63
  2. 26
  3. 68
  4. 35
  5. 27
  6. 65
  7. 20
  8. 7
  9. 56
  10. 25
  11. 113
  12. 9
  13. 45
  14. 52
  15. 73
  16. 71
  17. 36
  18. 48
  19. 37
  20. 52
  21. 58
  22. 22
  23. 65
  24. 75
  25. 63
  26. 58
  27. 65
  28. 7
  29. 28
  30. 28
  31. 21
  32. 40
  33. 19
  34. 80
  35. 21
  36. 55
  37. 55
  38. 78
  39. 15
  40. 94

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