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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 477 · 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 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 20 (c) 45 (d) 61
  2. 2.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 81 (b) 28 (c) 60 (d) 67
  3. 3.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 40? (a) 68 (b) 35 (c) 40 (d) 47
  4. 4.What is the average of 66, 66, 60, 80, 68 and 68? (a) 69 (b) 67 (c) 70 (d) 68
  5. 5.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 26? (a) 26 (b) 66 (c) 31 (d) 45
  6. 6.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 54? (a) 72 (b) 60 (c) 54 (d) 24
  7. 7.What is the average of 41, 61, 40, 36, 56 and 42? (a) 45 (b) 47 (c) 48 (d) 46
  8. 8.What is the average of all the whole numbers from 15 to 47? (a) 30 (b) 32 (c) 31 (d) 16
  9. 9.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 4 (c) 23 (d) 26
  10. 10.What is the average of 35, 45, 35, 39, 56 and 54? (a) 44 (b) 45 (c) 43 (d) 46
  11. 11.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 38 (c) 37 (d) 87
  12. 12.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 20 (c) 56 (d) 66
  13. 13.What is the average of 35, 45, 48, 52, 46 and 68? (a) 49 (b) 50 (c) 51 (d) 48
  14. 14.What is the average of all the whole numbers from 42 to 70? (a) 28 (b) 57 (c) 56 (d) 14
  15. 15.What is the average of all the whole numbers from 19 to 33? (a) 26 (b) 27 (c) 14 (d) 7
  16. 16.What is the average of 75, 84, 67 and 90? (a) 81 (b) 78 (c) 79 (d) 80
  17. 17.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 13 (c) 58 (d) 59
  18. 18.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 34 (c) 29 (d) 30
  19. 19.What is the average of all the whole numbers from 6 to 26? (a) 17 (b) 20 (c) 10 (d) 16
  20. 20.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 2 (b) 30 (c) 14 (d) 3
  21. 21.What is the average of all the whole numbers from 46 to 80? (a) 17 (b) 63 (c) 34 (d) 64
  22. 22.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 23 (b) 50 (c) 3 (d) 4
  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) 27 (b) 52 (c) 10 (d) 35
  24. 24.What is the average of all the whole numbers from 23 to 37? (a) 14 (b) 30 (c) 31 (d) 7
  25. 25.What is the average of all the whole numbers from 23 to 33? (a) 10 (b) 5 (c) 28 (d) 29
  26. 26.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 15 (c) 1 (d) 2
  27. 27.What is the average of all the whole numbers from 30 to 44? (a) 37 (b) 38 (c) 14 (d) 7
  28. 28.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 68? (a) 76 (b) 100 (c) 40 (d) 68
  29. 29.What is the average of all the whole numbers from 12 to 30? (a) 22 (b) 18 (c) 21 (d) 9
  30. 30.What is the average of 82, 69, 75, 85, 83 and 80? (a) 79 (b) 81 (c) 78 (d) 80
  31. 31.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 56? (a) 32 (b) 80 (c) 64 (d) 56
  32. 32.What is the average of all the whole numbers from 50 to 90? (a) 40 (b) 20 (c) 70 (d) 71
  33. 33.What is the average of all the whole numbers from 17 to 39? (a) 28 (b) 22 (c) 29 (d) 11
  34. 34.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 6 (b) 15 (c) 19 (d) 10
  35. 35.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 20 (b) 27 (c) 43 (d) 31
  36. 36.What is the average of 71, 57, 59, 59 and 89? (a) 67 (b) 66 (c) 69 (d) 68
  37. 37.What is the average of 75, 72, 82, 88, 88 and 63? (a) 77 (b) 80 (c) 79 (d) 78
  38. 38.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 62 (b) 96 (c) 16 (d) 50
  39. 39.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 10 (c) 40 (d) 48
  40. 40.What is the average of all the whole numbers from 57 to 69? (a) 63 (b) 6 (c) 64 (d) 12

Answer key

  1. 61
  2. 81
  3. 68
  4. 68
  5. 66
  6. 72
  7. 46
  8. 31
  9. 26
  10. 44
  11. 37
  12. 66
  13. 49
  14. 56
  15. 26
  16. 79
  17. 58
  18. 29
  19. 16
  20. 2
  21. 63
  22. 3
  23. 35
  24. 30
  25. 28
  26. 1
  27. 37
  28. 100
  29. 21
  30. 79
  31. 80
  32. 70
  33. 28
  34. 15
  35. 43
  36. 67
  37. 78
  38. 62
  39. 48
  40. 63

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