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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 959 · 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 56 to 62? (a) 6 (b) 3 (c) 59 (d) 60
  2. 2.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 20 (b) 45 (c) 61 (d) 86
  3. 3.What is the average of 51, 59, 70, 75 and 55? (a) 61 (b) 64 (c) 63 (d) 62
  4. 4.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 14 (b) 50 (c) 48 (d) 60
  5. 5.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 71 (c) 18 (d) 52
  6. 6.What is the average of all the whole numbers from 57 to 91? (a) 74 (b) 75 (c) 34 (d) 17
  7. 7.What is the average of 75, 92, 67, 92 and 74? (a) 80 (b) 81 (c) 79 (d) 100
  8. 8.What is the average of 72, 59, 61, 62, 52 and 84? (a) 64 (b) 78 (c) 66 (d) 65
  9. 9.What is the average of 23, 40, 41, 30 and 6? (a) 27 (b) 28 (c) 35 (d) 29
  10. 10.What is the average of all the whole numbers from 50 to 80? (a) 66 (b) 65 (c) 30 (d) 15
  11. 11.What is the average of 37, 40, 51, 35 and 72? (a) 48 (b) 49 (c) 47 (d) 46
  12. 12.What is the average of 81, 89, 72, 90, 72 and 64? (a) 77 (b) 80 (c) 79 (d) 78
  13. 13.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 61 (c) 57 (d) 73
  14. 14.What is the average of 28, 12, 9 and 31? (a) 22 (b) 20 (c) 19 (d) 21
  15. 15.What is the average of 59, 68, 48, 76, 57 and 70? (a) 62 (b) 63 (c) 64 (d) 65
  16. 16.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 4 (b) 37 (c) 34 (d) 67
  17. 17.What is the average of 39, 30, 12, 21, 15 and 45? (a) 28 (b) 29 (c) 27 (d) 26
  18. 18.What is the average of 33, 22, 16, 6, 9 and 40? (a) 23 (b) 22 (c) 21 (d) 20
  19. 19.What is the average of all the whole numbers from 52 to 68? (a) 8 (b) 16 (c) 60 (d) 61
  20. 20.What is the average of all the whole numbers from 15 to 53? (a) 34 (b) 19 (c) 35 (d) 38
  21. 21.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 29? (a) 29 (b) 36 (c) 49 (d) 71
  22. 22.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 38 (b) 79 (c) 23 (d) 24
  23. 23.What is the average of all the whole numbers from 45 to 69? (a) 12 (b) 58 (c) 24 (d) 57
  24. 24.What is the average of 62, 67, 56 and 75? (a) 66 (b) 64 (c) 67 (d) 65
  25. 25.What is the average of 58, 68, 64 and 102? (a) 75 (b) 72 (c) 74 (d) 73
  26. 26.What is the average of 38, 55, 37, 46 and 54? (a) 45 (b) 46 (c) 48 (d) 47
  27. 27.What is the average of 39, 21, 31, 19 and 55? (a) 33 (b) 34 (c) 32 (d) 35
  28. 28.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 55? (a) 55 (b) 63 (c) 62 (d) 111
  29. 29.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 23 (b) 48 (c) 14 (d) 13
  30. 30.What is the average of 29, 37, 28, 26, 23 and 85? (a) 37 (b) 38 (c) 39 (d) 40
  31. 31.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 29 (c) 41 (d) 20
  32. 32.What is the average of all the whole numbers from 51 to 59? (a) 8 (b) 55 (c) 4 (d) 56
  33. 33.What is the average of all the whole numbers from 10 to 30? (a) 10 (b) 21 (c) 20 (d) 19
  34. 34.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 16 (c) 46 (d) 32
  35. 35.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 97 (c) 56 (d) 49
  36. 36.What is the average of all the whole numbers from 44 to 52? (a) 4 (b) 8 (c) 48 (d) 49
  37. 37.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 59 (b) 30 (c) 41 (d) 35
  38. 38.What is the average of all the whole numbers from 12 to 22? (a) 18 (b) 5 (c) 17 (d) 10
  39. 39.What is the average of 73, 85, 72 and 50? (a) 71 (b) 72 (c) 69 (d) 70
  40. 40.What is the average of 58, 66, 47, 57 and 47? (a) 55 (b) 57 (c) 54 (d) 56

Answer key

  1. 59
  2. 61
  3. 62
  4. 60
  5. 52
  6. 74
  7. 80
  8. 65
  9. 28
  10. 65
  11. 47
  12. 78
  13. 73
  14. 20
  15. 63
  16. 37
  17. 27
  18. 21
  19. 60
  20. 34
  21. 71
  22. 23
  23. 57
  24. 65
  25. 73
  26. 46
  27. 33
  28. 111
  29. 13
  30. 38
  31. 41
  32. 55
  33. 20
  34. 46
  35. 97
  36. 48
  37. 59
  38. 17
  39. 70
  40. 55

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