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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 975 · 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 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 30 (b) 62 (c) 89 (d) 65
  2. 2.What is the average of 48, 44, 31 and 21? (a) 37 (b) 36 (c) 35 (d) 48
  3. 3.What is the average of 26, 32, 27, 34 and 51? (a) 35 (b) 33 (c) 36 (d) 34
  4. 4.What is the average of all the whole numbers from 24 to 36? (a) 6 (b) 31 (c) 30 (d) 12
  5. 5.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) 74 (c) 62 (d) 20
  6. 6.What is the average of 68, 49, 57, 53 and 88? (a) 64 (b) 65 (c) 63 (d) 62
  7. 7.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 2 (b) 41 (c) 1 (d) 19
  8. 8.What is the average of 24, 32, 25, 20, 20 and 47? (a) 28 (b) 30 (c) 29 (d) 27
  9. 9.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 34 (b) 3 (c) 15 (d) 4
  10. 10.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 8 (b) 27 (c) 52 (d) 33
  11. 11.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 58 (b) 51 (c) 100 (d) 56
  12. 12.What is the average of 20, 42, 13 and 33? (a) 26 (b) 28 (c) 27 (d) 36
  13. 13.What is the average of all the whole numbers from 29 to 69? (a) 40 (b) 20 (c) 49 (d) 50
  14. 14.What is the average of all the whole numbers from 40 to 70? (a) 30 (b) 15 (c) 55 (d) 56
  15. 15.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 40 (c) 60 (d) 76
  16. 16.What is the average of all the whole numbers from 14 to 40? (a) 27 (b) 26 (c) 28 (d) 13
  17. 17.What is the average of 14, 28, 30, 14, 35 and 17? (a) 24 (b) 25 (c) 22 (d) 23
  18. 18.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 55 (c) 20 (d) 67
  19. 19.What is the average of all the whole numbers from 36 to 62? (a) 49 (b) 13 (c) 26 (d) 50
  20. 20.What is the average of all the whole numbers from 40 to 56? (a) 49 (b) 48 (c) 8 (d) 16
  21. 21.What is the average of all the whole numbers from 52 to 64? (a) 58 (b) 6 (c) 12 (d) 59
  22. 22.What is the average of 61, 45, 66, 57 and 31? (a) 52 (b) 53 (c) 51 (d) 65
  23. 23.What is the average of 87, 61, 88, 64, 68 and 82? (a) 76 (b) 74 (c) 90 (d) 75
  24. 24.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 29 (c) 31 (d) 10
  25. 25.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 28 (b) 67 (c) 74 (d) 88
  26. 26.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 8 (b) 50 (c) 52 (d) 56
  27. 27.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 26 (c) 6 (d) 21
  28. 28.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 70 (b) 60 (c) 116 (d) 53
  29. 29.What is the average of 71, 57, 57 and 95? (a) 69 (b) 72 (c) 71 (d) 70
  30. 30.What is the average of 44, 47, 43, 20, 21 and 29? (a) 35 (b) 36 (c) 34 (d) 33
  31. 31.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 5 (c) 22 (d) 23
  32. 32.What is the average of 77, 49, 49 and 81? (a) 66 (b) 63 (c) 64 (d) 65
  33. 33.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 58 (c) 22 (d) 28
  34. 34.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 24 (c) 8 (d) 9
  35. 35.What is the average of 34, 30, 46 and 42? (a) 39 (b) 37 (c) 40 (d) 38
  36. 36.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 51 (b) 16 (c) 72 (d) 37
  37. 37.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 15 (b) 61 (c) 64 (d) 73
  38. 38.What is the average of 41, 19, 26 and 22? (a) 36 (b) 28 (c) 27 (d) 26
  39. 39.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 8 (c) 60 (d) 37
  40. 40.What is the average of 18, 21, 36, 34, 27 and 62? (a) 33 (b) 34 (c) 32 (d) 35

Answer key

  1. 89
  2. 36
  3. 34
  4. 30
  5. 74
  6. 63
  7. 1
  8. 28
  9. 3
  10. 33
  11. 100
  12. 27
  13. 49
  14. 55
  15. 60
  16. 27
  17. 23
  18. 67
  19. 49
  20. 48
  21. 58
  22. 52
  23. 75
  24. 37
  25. 88
  26. 56
  27. 26
  28. 116
  29. 70
  30. 34
  31. 22
  32. 64
  33. 22
  34. 8
  35. 38
  36. 51
  37. 73
  38. 27
  39. 37
  40. 33

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