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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 363 · 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 46, 62, 36, 61 and 35? (a) 48 (b) 60 (c) 49 (d) 47
  2. 2.What is the average of 16, 33, 17 and 46? (a) 29 (b) 27 (c) 30 (d) 28
  3. 3.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 24 (c) 45 (d) 46
  4. 4.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 58 (b) 16 (c) 44 (d) 86
  5. 5.What is the average of all the whole numbers from 59 to 99? (a) 80 (b) 20 (c) 79 (d) 40
  6. 6.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 54 (c) 45 (d) 20
  7. 7.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 27 (b) 88 (c) 42 (d) 26
  8. 8.What is the average of 20, 21, 37, 15 and 37? (a) 27 (b) 26 (c) 28 (d) 25
  9. 9.What is the average of 19, 18, 22, 32 and 24? (a) 23 (b) 25 (c) 24 (d) 22
  10. 10.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 14 (b) 61 (c) 13 (d) 28
  11. 11.What is the average of 53, 46, 61, 47, 66 and 51? (a) 56 (b) 53 (c) 55 (d) 54
  12. 12.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 8 (c) 33 (d) 29
  13. 13.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 32 (b) 8 (c) 25 (d) 49
  14. 14.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 54 (b) 62 (c) 50 (d) 16
  15. 15.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 64 (c) 128 (d) 80
  16. 16.What is the average of all the whole numbers from 27 to 35? (a) 4 (b) 8 (c) 32 (d) 31
  17. 17.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 50 (b) 40 (c) 80 (d) 35
  18. 18.What is the average of all the whole numbers from 22 to 44? (a) 11 (b) 33 (c) 22 (d) 34
  19. 19.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 30 (b) 2 (c) 13 (d) 1
  20. 20.What is the average of 30, 32, 44, 25, 37 and 54? (a) 38 (b) 36 (c) 37 (d) 39
  21. 21.What is the average of 37, 49, 59, 35 and 55? (a) 49 (b) 47 (c) 46 (d) 48
  22. 22.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 47 (c) 71 (d) 32
  23. 23.What is the average of 36, 53, 36, 52 and 78? (a) 50 (b) 51 (c) 52 (d) 53
  24. 24.What is the average of all the whole numbers from 16 to 40? (a) 24 (b) 28 (c) 12 (d) 29
  25. 25.What is the average of 63, 51, 49, 61 and 91? (a) 64 (b) 62 (c) 65 (d) 63
  26. 26.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 35 (c) 38 (d) 4
  27. 27.What is the average of all the whole numbers from 18 to 50? (a) 32 (b) 16 (c) 34 (d) 35
  28. 28.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 24 (b) 57 (c) 54 (d) 75
  29. 29.What is the average of 12, 19, 22, 12, 38 and 53? (a) 26 (b) 27 (c) 25 (d) 28
  30. 30.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 28 (b) 76 (c) 62 (d) 55
  31. 31.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 39 (c) 48 (d) 40
  32. 32.What is the average of all the whole numbers from 29 to 47? (a) 39 (b) 38 (c) 18 (d) 9
  33. 33.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 12 (b) 62 (c) 70 (d) 60
  34. 34.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 10 (b) 22 (c) 46 (d) 11
  35. 35.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 18 (b) 41 (c) 39 (d) 55
  36. 36.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 12 (c) 52 (d) 11
  37. 37.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 16 (b) 74 (c) 35 (d) 15
  38. 38.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 35 (c) 36 (d) 61
  39. 39.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 14 (c) 31 (d) 19
  40. 40.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 40 (c) 62 (d) 27

Answer key

  1. 48
  2. 28
  3. 45
  4. 58
  5. 79
  6. 45
  7. 26
  8. 26
  9. 23
  10. 13
  11. 54
  12. 33
  13. 32
  14. 62
  15. 128
  16. 31
  17. 80
  18. 33
  19. 1
  20. 37
  21. 47
  22. 71
  23. 51
  24. 28
  25. 63
  26. 38
  27. 34
  28. 75
  29. 26
  30. 76
  31. 39
  32. 38
  33. 70
  34. 10
  35. 55
  36. 11
  37. 15
  38. 61
  39. 31
  40. 62

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