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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 834 · 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 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 7 (b) 11 (c) 23 (d) 8
  2. 2.What is the average of all the whole numbers from 32 to 52? (a) 43 (b) 20 (c) 10 (d) 42
  3. 3.What is the average of all the whole numbers from 14 to 20? (a) 18 (b) 17 (c) 6 (d) 3
  4. 4.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 66 (c) 67 (d) 13
  5. 5.What is the average of all the whole numbers from 58 to 64? (a) 3 (b) 6 (c) 61 (d) 62
  6. 6.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 34 (c) 33 (d) 41
  7. 7.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 65 (c) 64 (d) 32
  8. 8.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 28 (b) 8 (c) 24 (d) 22
  9. 9.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 5 (b) 36 (c) 6 (d) 17
  10. 10.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 20 (b) 27 (c) 11 (d) 18
  11. 11.What is the average of 32, 34, 20 and 6? (a) 22 (b) 24 (c) 23 (d) 25
  12. 12.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 10 (c) 11 (d) 6
  13. 13.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 76 (c) 25 (d) 24
  14. 14.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 63 (c) 90 (d) 30
  15. 15.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 50 (b) 39 (c) 34 (d) 79
  16. 16.What is the average of 48, 69, 55 and 64? (a) 58 (b) 59 (c) 60 (d) 61
  17. 17.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 8 (c) 7 (d) 74
  18. 18.What is the average of all the whole numbers from 38 to 46? (a) 4 (b) 43 (c) 42 (d) 8
  19. 19.What is the average of all the whole numbers from 53 to 73? (a) 20 (b) 63 (c) 10 (d) 64
  20. 20.What is the average of 23, 46, 18, 43, 35 and 27? (a) 31 (b) 32 (c) 34 (d) 33
  21. 21.What is the average of 61, 46, 65, 44, 61 and 77? (a) 58 (b) 61 (c) 60 (d) 59
  22. 22.What is the average of all the whole numbers from 15 to 53? (a) 38 (b) 19 (c) 34 (d) 35
  23. 23.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 36 (c) 24 (d) 56
  24. 24.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 21 (c) 33 (d) 51
  25. 25.What is the average of 36, 33, 6 and 9? (a) 21 (b) 20 (c) 28 (d) 22
  26. 26.What is the average of all the whole numbers from 18 to 50? (a) 34 (b) 16 (c) 32 (d) 35
  27. 27.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 63 (b) 51 (c) 28 (d) 40
  28. 28.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 86 (b) 45 (c) 50 (d) 85
  29. 29.What is the average of all the whole numbers from 37 to 63? (a) 51 (b) 26 (c) 13 (d) 50
  30. 30.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 29 (c) 12 (d) 38
  31. 31.What is the average of all the whole numbers from 32 to 58? (a) 45 (b) 46 (c) 26 (d) 13
  32. 32.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 14 (c) 24 (d) 25
  33. 33.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 40 (c) 47 (d) 12
  34. 34.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 36 (b) 52 (c) 48 (d) 80
  35. 35.What is the average of 76, 65, 55, 81, 52 and 73? (a) 69 (b) 66 (c) 67 (d) 68
  36. 36.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 79 (b) 51 (c) 55 (d) 32
  37. 37.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 48 (c) 35 (d) 31
  38. 38.What is the average of 55, 69, 75, 70, 68 and 47? (a) 65 (b) 63 (c) 66 (d) 64
  39. 39.What is the average of all the whole numbers from 16 to 30? (a) 7 (b) 24 (c) 23 (d) 14
  40. 40.What is the average of 69, 72, 55 and 76? (a) 69 (b) 67 (c) 68 (d) 70

Answer key

  1. 7
  2. 42
  3. 17
  4. 66
  5. 61
  6. 33
  7. 64
  8. 28
  9. 5
  10. 27
  11. 23
  12. 10
  13. 24
  14. 90
  15. 79
  16. 59
  17. 7
  18. 42
  19. 63
  20. 32
  21. 59
  22. 34
  23. 56
  24. 51
  25. 21
  26. 34
  27. 63
  28. 85
  29. 50
  30. 38
  31. 45
  32. 25
  33. 47
  34. 80
  35. 67
  36. 79
  37. 48
  38. 64
  39. 23
  40. 68

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