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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 980 · 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 22, 16, 14 and 60? (a) 29 (b) 27 (c) 30 (d) 28
  2. 2.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 42 (c) 20 (d) 30
  3. 3.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 49 (c) 35 (d) 16
  4. 4.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 2 (b) 17 (c) 1 (d) 38
  5. 5.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 88 (b) 58 (c) 52 (d) 42
  6. 6.What is the average of all the whole numbers from 16 to 42? (a) 29 (b) 26 (c) 30 (d) 13
  7. 7.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 21 (c) 23 (d) 12
  8. 8.What is the average of 33, 30, 30, 43, 46 and 10? (a) 33 (b) 32 (c) 31 (d) 34
  9. 9.What is the average of all the whole numbers from 50 to 90? (a) 71 (b) 20 (c) 70 (d) 40
  10. 10.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 4 (b) 44 (c) 41 (d) 81
  11. 11.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 63 (c) 36 (d) 87
  12. 12.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 32 (b) 16 (c) 20 (d) 28
  13. 13.What is the average of 73, 65, 48 and 50? (a) 60 (b) 61 (c) 59 (d) 58
  14. 14.What is the average of all the whole numbers from 31 to 37? (a) 34 (b) 6 (c) 3 (d) 35
  15. 15.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 12 (c) 64 (d) 58
  16. 16.What is the average of all the whole numbers from 58 to 94? (a) 36 (b) 18 (c) 76 (d) 77
  17. 17.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 76 (b) 27 (c) 56 (d) 34
  18. 18.What is the average of all the whole numbers from 24 to 38? (a) 7 (b) 14 (c) 32 (d) 31
  19. 19.What is the average of 35, 41, 24 and 24? (a) 33 (b) 32 (c) 30 (d) 31
  20. 20.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 6 (c) 39 (d) 7
  21. 21.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 7 (b) 28 (c) 22 (d) 43
  22. 22.What is the average of 25, 33, 6, 17, 27 and 12? (a) 19 (b) 21 (c) 24 (d) 20
  23. 23.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 5 (c) 33 (d) 17
  24. 24.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 8 (b) 83 (c) 49 (d) 42
  25. 25.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 28? (a) 40 (b) 30 (c) 14 (d) 28
  26. 26.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 16 (c) 31 (d) 19
  27. 27.What is the average of 32, 53, 45 and 30? (a) 39 (b) 40 (c) 41 (d) 42
  28. 28.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 53 (c) 63 (d) 12
  29. 29.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 20 (c) 33 (d) 30
  30. 30.What is the average of all the whole numbers from 38 to 54? (a) 16 (b) 8 (c) 47 (d) 46
  31. 31.What is the average of 20, 38, 12, 29, 30 and 21? (a) 24 (b) 30 (c) 25 (d) 26
  32. 32.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 55 (c) 8 (d) 48
  33. 33.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 32 (b) 6 (c) 53 (d) 27
  34. 34.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 46 (b) 28 (c) 40 (d) 22
  35. 35.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 29 (c) 28 (d) 16
  36. 36.What is the average of 87, 79, 82, 73, 83 and 70? (a) 81 (b) 79 (c) 78 (d) 80
  37. 37.What is the average of all the whole numbers from 43 to 53? (a) 49 (b) 5 (c) 48 (d) 10
  38. 38.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 18 (c) 22 (d) 45
  39. 39.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 42 (b) 81 (c) 57 (d) 18
  40. 40.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 53 (c) 51 (d) 67

Answer key

  1. 28
  2. 42
  3. 49
  4. 1
  5. 88
  6. 29
  7. 22
  8. 32
  9. 70
  10. 44
  11. 87
  12. 32
  13. 59
  14. 34
  15. 64
  16. 76
  17. 76
  18. 31
  19. 31
  20. 6
  21. 28
  22. 20
  23. 21
  24. 49
  25. 40
  26. 31
  27. 40
  28. 63
  29. 33
  30. 46
  31. 25
  32. 55
  33. 32
  34. 46
  35. 28
  36. 79
  37. 48
  38. 18
  39. 57
  40. 67

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