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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 951 · 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 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 64 (d) 108
  2. 2.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 45 (d) 10
  3. 3.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 8 (b) 44 (c) 42 (d) 48
  4. 4.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 72 (b) 38 (c) 32 (d) 66
  5. 5.What is the average of 30, 29, 36, 30, 39 and 4? (a) 27 (b) 30 (c) 29 (d) 28
  6. 6.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 37 (c) 38 (d) 40
  7. 7.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 25 (c) 14 (d) 13
  8. 8.What is the average of 29, 50, 32, 27, 48 and 48? (a) 39 (b) 40 (c) 38 (d) 41
  9. 9.What is the average of 13, 26, 21, 34, 7 and 31? (a) 23 (b) 22 (c) 21 (d) 24
  10. 10.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 113 (c) 73 (d) 56
  11. 11.What is the average of 41, 58, 58 and 51? (a) 53 (b) 54 (c) 52 (d) 51
  12. 12.What is the average of all the whole numbers from 17 to 45? (a) 31 (b) 28 (c) 32 (d) 14
  13. 13.What is the average of 64, 79, 73, 75 and 74? (a) 73 (b) 75 (c) 72 (d) 74
  14. 14.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 46 (b) 21 (c) 6 (d) 5
  15. 15.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 20 (b) 31 (c) 66 (d) 19
  16. 16.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 30 (b) 47 (c) 24 (d) 7
  17. 17.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) 30 (b) 4 (c) 27 (d) 53
  18. 18.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 25 (c) 15 (d) 23
  19. 19.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 30 (b) 54 (c) 78 (d) 60
  20. 20.What is the average of all the whole numbers from 36 to 50? (a) 7 (b) 14 (c) 44 (d) 43
  21. 21.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 20 (c) 56 (d) 72
  22. 22.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 24 (b) 43 (c) 40 (d) 61
  23. 23.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 84 (b) 29 (c) 40 (d) 28
  24. 24.What is the average of 65, 90, 61 and 84? (a) 100 (b) 76 (c) 74 (d) 75
  25. 25.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 27? (a) 51 (b) 27 (c) 33 (d) 30
  26. 26.What is the average of all the whole numbers from 13 to 45? (a) 30 (b) 29 (c) 32 (d) 16
  27. 27.What is the average of all the whole numbers from 6 to 16? (a) 5 (b) 10 (c) 12 (d) 11
  28. 28.What is the average of 37, 23, 26 and 14? (a) 26 (b) 24 (c) 27 (d) 25
  29. 29.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 33? (a) 21 (b) 33 (c) 36 (d) 51
  30. 30.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 25? (a) 29 (b) 25 (c) 57 (d) 36
  31. 31.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 21 (c) 11 (d) 8
  32. 32.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 63 (c) 93 (d) 36
  33. 33.What is the average of all the whole numbers from 20 to 44? (a) 12 (b) 32 (c) 33 (d) 24
  34. 34.What is the average of all the whole numbers from 8 to 32? (a) 20 (b) 24 (c) 12 (d) 21
  35. 35.What is the average of all the whole numbers from 14 to 28? (a) 7 (b) 14 (c) 22 (d) 21
  36. 36.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 48 (c) 70 (d) 34
  37. 37.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 35 (b) 86 (c) 34 (d) 42
  38. 38.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 46 (b) 26 (c) 96 (d) 27
  39. 39.What is the average of 17, 44, 41 and 26? (a) 34 (b) 31 (c) 33 (d) 32
  40. 40.What is the average of all the whole numbers from 16 to 46? (a) 32 (b) 31 (c) 30 (d) 15

Answer key

  1. 108
  2. 51
  3. 48
  4. 66
  5. 28
  6. 37
  7. 13
  8. 39
  9. 22
  10. 113
  11. 52
  12. 31
  13. 73
  14. 5
  15. 19
  16. 30
  17. 30
  18. 25
  19. 78
  20. 43
  21. 72
  22. 61
  23. 28
  24. 75
  25. 51
  26. 29
  27. 11
  28. 25
  29. 51
  30. 57
  31. 18
  32. 93
  33. 32
  34. 20
  35. 21
  36. 70
  37. 34
  38. 26
  39. 32
  40. 31

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