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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 942 · 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 all the whole numbers from 16 to 44? (a) 30 (b) 14 (c) 28 (d) 31
  2. 2.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 54 (b) 20 (c) 39 (d) 44
  3. 3.What is the average of all the whole numbers from 32 to 70? (a) 51 (b) 19 (c) 52 (d) 38
  4. 4.What is the average of all the whole numbers from 5 to 19? (a) 12 (b) 13 (c) 14 (d) 7
  5. 5.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 18 (b) 17 (c) 73 (d) 35
  6. 6.What is the average of all the whole numbers from 21 to 53? (a) 38 (b) 32 (c) 16 (d) 37
  7. 7.What is the average of 32, 22, 20 and 10? (a) 20 (b) 21 (c) 28 (d) 22
  8. 8.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 54 (c) 27 (d) 75
  9. 9.What is the average of all the whole numbers from 18 to 28? (a) 24 (b) 23 (c) 5 (d) 10
  10. 10.What is the average of 28, 18, 35, 19, 41 and 45? (a) 33 (b) 30 (c) 32 (d) 31
  11. 11.What is the average of all the whole numbers from 34 to 60? (a) 26 (b) 48 (c) 47 (d) 13
  12. 12.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 35 (b) 81 (c) 40 (d) 34
  13. 13.What is the average of all the whole numbers from 39 to 47? (a) 4 (b) 8 (c) 44 (d) 43
  14. 14.What is the average of all the whole numbers from 48 to 82? (a) 65 (b) 34 (c) 17 (d) 66
  15. 15.What is the average of all the whole numbers from 51 to 87? (a) 36 (b) 18 (c) 70 (d) 69
  16. 16.What is the average of all the whole numbers from 45 to 79? (a) 62 (b) 17 (c) 34 (d) 63
  17. 17.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 15 (c) 48 (d) 69
  18. 18.What is the average of 70, 67, 58, 79, 53 and 75? (a) 68 (b) 67 (c) 66 (d) 69
  19. 19.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 20 (b) 28 (c) 58 (d) 21
  20. 20.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 30 (c) 49 (d) 52
  21. 21.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 27 (c) 21 (d) 55
  22. 22.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 60 (b) 93 (c) 15 (d) 48
  23. 23.What is the average of 45, 32, 41, 47 and 20? (a) 36 (b) 38 (c) 39 (d) 37
  24. 24.What is the average of all the whole numbers from 16 to 54? (a) 36 (b) 19 (c) 35 (d) 38
  25. 25.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 61 (c) 30 (d) 26
  26. 26.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 24 (b) 58 (c) 37 (d) 40
  27. 27.The average of 8 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) 2 (d) 1
  28. 28.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 42 (c) 86 (d) 28
  29. 29.What is the average of all the whole numbers from 35 to 49? (a) 42 (b) 14 (c) 43 (d) 7
  30. 30.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 51 (c) 37 (d) 28
  31. 31.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 44 (c) 24 (d) 23
  32. 32.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 5 (c) 29 (d) 49
  33. 33.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 11 (b) 43 (c) 20 (d) 12
  34. 34.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 42 (c) 48 (d) 83
  35. 35.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 40 (b) 34 (c) 69 (d) 63
  36. 36.What is the average of 18, 36, 37 and 41? (a) 33 (b) 34 (c) 44 (d) 32
  37. 37.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 43 (c) 21 (d) 28
  38. 38.What is the average of all the whole numbers from 36 to 56? (a) 47 (b) 20 (c) 10 (d) 46
  39. 39.What is the average of 23, 25, 29 and 3? (a) 22 (b) 21 (c) 19 (d) 20
  40. 40.What is the average of 35, 34, 16, 13 and 2? (a) 19 (b) 20 (c) 25 (d) 21

Answer key

  1. 30
  2. 54
  3. 51
  4. 12
  5. 17
  6. 37
  7. 21
  8. 75
  9. 23
  10. 31
  11. 47
  12. 34
  13. 43
  14. 65
  15. 69
  16. 62
  17. 48
  18. 67
  19. 20
  20. 52
  21. 20
  22. 60
  23. 37
  24. 35
  25. 26
  26. 58
  27. 1
  28. 28
  29. 42
  30. 51
  31. 44
  32. 29
  33. 11
  34. 83
  35. 69
  36. 33
  37. 43
  38. 46
  39. 20
  40. 20

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