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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 676 · 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.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 60 (c) 25 (d) 75
  2. 2.What is the average of 41, 57, 63 and 43? (a) 68 (b) 51 (c) 50 (d) 52
  3. 3.What is the average of all the whole numbers from 13 to 25? (a) 12 (b) 19 (c) 20 (d) 6
  4. 4.What is the average of all the whole numbers from 49 to 85? (a) 67 (b) 68 (c) 36 (d) 18
  5. 5.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 72 (c) 30 (d) 29
  6. 6.What is the average of all the whole numbers from 10 to 22? (a) 6 (b) 12 (c) 16 (d) 17
  7. 7.What is the average of 68, 51, 53, 66 and 67? (a) 60 (b) 61 (c) 63 (d) 62
  8. 8.What is the average of all the whole numbers from 15 to 53? (a) 19 (b) 34 (c) 38 (d) 35
  9. 9.What is the average of 77, 81, 61 and 57? (a) 69 (b) 92 (c) 70 (d) 68
  10. 10.What is the average of all the whole numbers from 46 to 86? (a) 20 (b) 66 (c) 67 (d) 40
  11. 11.What is the average of 23, 35, 25, 28, 21 and 78? (a) 35 (b) 34 (c) 36 (d) 42
  12. 12.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 34 (b) 81 (c) 33 (d) 40
  13. 13.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 18 (b) 41 (c) 3 (d) 4
  14. 14.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 18 (c) 29 (d) 17
  15. 15.What is the average of 47, 53, 56 and 72? (a) 76 (b) 56 (c) 57 (d) 58
  16. 16.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 66 (c) 8 (d) 7
  17. 17.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 30 (c) 72 (d) 54
  18. 18.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 32 (c) 57 (d) 81
  19. 19.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 34? (a) 38 (b) 28 (c) 34 (d) 58
  20. 20.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 28 (c) 34 (d) 7
  21. 21.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 30 (b) 65 (c) 55 (d) 40
  22. 22.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 16 (b) 69 (c) 57 (d) 55
  23. 23.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 17 (c) 12 (d) 10
  24. 24.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 18 (b) 57 (c) 45 (d) 30
  25. 25.What is the average of all the whole numbers from 49 to 79? (a) 64 (b) 15 (c) 30 (d) 65
  26. 26.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 28 (c) 7 (d) 27
  27. 27.What is the average of all the whole numbers from 23 to 39? (a) 31 (b) 8 (c) 32 (d) 16
  28. 28.What is the average of all the whole numbers from 26 to 64? (a) 46 (b) 19 (c) 45 (d) 38
  29. 29.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 16 (b) 25 (c) 48 (d) 39
  30. 30.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 41 (c) 42 (d) 4
  31. 31.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 50? (a) 20 (b) 52 (c) 50 (d) 68
  32. 32.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 21 (b) 41 (c) 86 (d) 22
  33. 33.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 36 (c) 74 (d) 44
  34. 34.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 25 (c) 14 (d) 26
  35. 35.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 56 (c) 60 (d) 76
  36. 36.What is the average of 53, 58, 72, 49 and 78? (a) 63 (b) 62 (c) 61 (d) 64
  37. 37.What is the average of 47, 59, 37, 40, 36 and 57? (a) 46 (b) 47 (c) 48 (d) 45
  38. 38.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 8 (c) 34 (d) 54
  39. 39.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 30 (b) 57 (c) 77 (d) 52
  40. 40.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 29 (c) 20 (d) 28

Answer key

  1. 75
  2. 51
  3. 19
  4. 67
  5. 29
  6. 16
  7. 61
  8. 34
  9. 69
  10. 66
  11. 35
  12. 33
  13. 3
  14. 17
  15. 57
  16. 7
  17. 72
  18. 81
  19. 58
  20. 34
  21. 65
  22. 69
  23. 19
  24. 45
  25. 64
  26. 27
  27. 31
  28. 45
  29. 39
  30. 41
  31. 68
  32. 21
  33. 74
  34. 26
  35. 76
  36. 62
  37. 46
  38. 34
  39. 77
  40. 28

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