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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 978 · 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 63, 92, 67, 81 and 87? (a) 79 (b) 80 (c) 77 (d) 78
  2. 2.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 34 (b) 35 (c) 39 (d) 79
  3. 3.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 59 (b) 29 (c) 53 (d) 35
  4. 4.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 34 (c) 14 (d) 73
  5. 5.What is the average of 29, 52, 34, 34 and 36? (a) 37 (b) 36 (c) 39 (d) 38
  6. 6.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 32 (c) 66 (d) 82
  7. 7.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 63 (c) 84 (d) 28
  8. 8.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 39 (c) 36 (d) 15
  9. 9.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 36 (b) 16 (c) 4 (d) 5
  10. 10.What is the average of 62, 54, 40 and 40? (a) 49 (b) 50 (c) 51 (d) 48
  11. 11.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 20 (b) 52 (c) 57 (d) 67
  12. 12.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 88 (c) 53 (d) 46
  13. 13.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 8 (b) 51 (c) 9 (d) 23
  14. 14.What is the average of 59, 73, 63 and 81? (a) 92 (b) 68 (c) 70 (d) 69
  15. 15.What is the average of all the whole numbers from 5 to 19? (a) 7 (b) 14 (c) 13 (d) 12
  16. 16.What is the average of all the whole numbers from 54 to 78? (a) 24 (b) 67 (c) 12 (d) 66
  17. 17.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 61 (c) 24 (d) 77
  18. 18.What is the average of all the whole numbers from 56 to 68? (a) 12 (b) 6 (c) 63 (d) 62
  19. 19.What is the average of 88, 91, 73 and 68? (a) 81 (b) 82 (c) 80 (d) 79
  20. 20.What is the average of 68, 89, 90, 94, 82 and 51? (a) 79 (b) 78 (c) 80 (d) 81
  21. 21.What is the average of all the whole numbers from 55 to 77? (a) 22 (b) 66 (c) 67 (d) 11
  22. 22.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 5 (c) 53 (d) 97
  23. 23.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 58 (c) 16 (d) 46
  24. 24.What is the average of all the whole numbers from 33 to 53? (a) 10 (b) 20 (c) 44 (d) 43
  25. 25.What is the average of all the whole numbers from 23 to 49? (a) 37 (b) 13 (c) 36 (d) 26
  26. 26.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 61 (b) 47 (c) 26 (d) 40
  27. 27.What is the average of 44, 30, 35, 28 and 48? (a) 39 (b) 37 (c) 36 (d) 38
  28. 28.What is the average of 79, 65, 83, 54 and 59? (a) 85 (b) 68 (c) 67 (d) 69
  29. 29.What is the average of 26, 25, 49, 28 and 72? (a) 41 (b) 50 (c) 39 (d) 40
  30. 30.What is the average of 42, 45, 41, 32 and 35? (a) 41 (b) 40 (c) 39 (d) 38
  31. 31.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 33 (d) 53
  32. 32.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 4 (b) 53 (c) 30 (d) 27
  33. 33.What is the average of 21, 24, 10 and 33? (a) 24 (b) 22 (c) 21 (d) 23
  34. 34.What is the average of all the whole numbers from 35 to 67? (a) 52 (b) 51 (c) 16 (d) 32
  35. 35.What is the average of 48, 71, 57, 53, 69 and 80? (a) 65 (b) 62 (c) 64 (d) 63
  36. 36.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 61 (b) 36 (c) 33 (d) 29
  37. 37.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 13 (c) 38 (d) 12
  38. 38.What is the average of 70, 79, 79 and 36? (a) 88 (b) 65 (c) 66 (d) 67
  39. 39.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 10 (b) 24 (c) 30 (d) 22
  40. 40.What is the average of all the whole numbers from 54 to 60? (a) 6 (b) 3 (c) 58 (d) 57

Answer key

  1. 78
  2. 34
  3. 59
  4. 14
  5. 37
  6. 82
  7. 84
  8. 48
  9. 4
  10. 49
  11. 67
  12. 88
  13. 8
  14. 69
  15. 12
  16. 66
  17. 77
  18. 62
  19. 80
  20. 79
  21. 66
  22. 53
  23. 58
  24. 43
  25. 36
  26. 61
  27. 37
  28. 68
  29. 40
  30. 39
  31. 53
  32. 30
  33. 22
  34. 51
  35. 63
  36. 61
  37. 12
  38. 66
  39. 30
  40. 57

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