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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 175 · 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 77, 84, 90 and 69? (a) 82 (b) 81 (c) 80 (d) 79
  2. 2.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 41 (b) 12 (c) 49 (d) 39
  3. 3.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 14 (b) 18 (c) 10 (d) 22
  4. 4.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 40 (b) 100 (c) 65 (d) 70
  5. 5.What is the average of all the whole numbers from 27 to 35? (a) 31 (b) 4 (c) 8 (d) 32
  6. 6.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 19 (c) 36 (d) 25
  7. 7.What is the average of 59, 65, 57 and 91? (a) 67 (b) 70 (c) 68 (d) 69
  8. 8.What is the average of 49, 62, 50, 52, 64 and 89? (a) 60 (b) 61 (c) 63 (d) 62
  9. 9.What is the average of all the whole numbers from 44 to 52? (a) 8 (b) 48 (c) 49 (d) 4
  10. 10.What is the average of all the whole numbers from 15 to 23? (a) 8 (b) 4 (c) 19 (d) 20
  11. 11.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 45 (c) 76 (d) 39
  12. 12.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 15 (c) 31 (d) 40
  13. 13.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 45 (b) 15 (c) 16 (d) 22
  14. 14.What is the average of 73, 73, 69, 51, 73 and 27? (a) 60 (b) 61 (c) 62 (d) 63
  15. 15.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 16 (b) 13 (c) 22 (d) 25
  16. 16.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 12 (c) 26 (d) 24
  17. 17.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 4 (c) 19 (d) 31
  18. 18.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 37 (c) 39 (d) 10
  19. 19.What is the average of 36, 21, 19, 24 and 55? (a) 30 (b) 32 (c) 31 (d) 33
  20. 20.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 12 (c) 45 (d) 55
  21. 21.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 50 (b) 18 (c) 19 (d) 24
  22. 22.What is the average of all the whole numbers from 41 to 75? (a) 17 (b) 59 (c) 34 (d) 58
  23. 23.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 35 (b) 27 (c) 10 (d) 52
  24. 24.What is the average of 82, 79, 69, 75, 64 and 87? (a) 77 (b) 75 (c) 78 (d) 76
  25. 25.What is the average of 60, 76, 72 and 68? (a) 68 (b) 70 (c) 92 (d) 69
  26. 26.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 8 (b) 47 (c) 45 (d) 51
  27. 27.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 18 (b) 25 (c) 29 (d) 14
  28. 28.What is the average of all the whole numbers from 30 to 40? (a) 10 (b) 5 (c) 35 (d) 36
  29. 29.What is the average of all the whole numbers from 19 to 31? (a) 26 (b) 6 (c) 12 (d) 25
  30. 30.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 61 (c) 66 (d) 96
  31. 31.What is the average of all the whole numbers from 6 to 20? (a) 12 (b) 7 (c) 14 (d) 13
  32. 32.What is the average of 43, 34, 32, 49, 32 and 62? (a) 44 (b) 43 (c) 41 (d) 42
  33. 33.What is the average of 63, 61, 90 and 86? (a) 100 (b) 74 (c) 75 (d) 76
  34. 34.What is the average of all the whole numbers from 26 to 38? (a) 32 (b) 12 (c) 6 (d) 33
  35. 35.What is the average of 65, 47, 60 and 56? (a) 76 (b) 56 (c) 57 (d) 58
  36. 36.What is the average of all the whole numbers from 9 to 29? (a) 18 (b) 20 (c) 19 (d) 10
  37. 37.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 32 (c) 50 (d) 55
  38. 38.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 62 (c) 74 (d) 20
  39. 39.What is the average of 64, 65, 64, 69, 47 and 63? (a) 63 (b) 62 (c) 61 (d) 64
  40. 40.What is the average of 48, 39, 41 and 64? (a) 48 (b) 49 (c) 47 (d) 64

Answer key

  1. 80
  2. 49
  3. 22
  4. 100
  5. 31
  6. 25
  7. 68
  8. 61
  9. 48
  10. 19
  11. 45
  12. 40
  13. 15
  14. 61
  15. 25
  16. 24
  17. 19
  18. 45
  19. 31
  20. 55
  21. 18
  22. 58
  23. 35
  24. 76
  25. 69
  26. 51
  27. 29
  28. 35
  29. 25
  30. 96
  31. 13
  32. 42
  33. 75
  34. 32
  35. 57
  36. 19
  37. 55
  38. 74
  39. 62
  40. 48

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