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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 467 · 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 79, 76, 76 and 73? (a) 75 (b) 76 (c) 77 (d) 78
  2. 2.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 77 (b) 78 (c) 42 (d) 49
  3. 3.What is the average of all the whole numbers from 54 to 86? (a) 16 (b) 71 (c) 70 (d) 32
  4. 4.What is the average of all the whole numbers from 58 to 78? (a) 10 (b) 20 (c) 69 (d) 68
  5. 5.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 56 (c) 30 (d) 54
  6. 6.What is the average of all the whole numbers from 32 to 64? (a) 16 (b) 49 (c) 48 (d) 32
  7. 7.What is the average of 53, 41, 47 and 51? (a) 47 (b) 64 (c) 49 (d) 48
  8. 8.What is the average of all the whole numbers from 28 to 40? (a) 6 (b) 35 (c) 34 (d) 12
  9. 9.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 53 (b) 46 (c) 25 (d) 32
  10. 10.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 48? (a) 8 (b) 54 (c) 50 (d) 48
  11. 11.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 49 (c) 28 (d) 50
  12. 12.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 42 (b) 23 (c) 39 (d) 20
  13. 13.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 30 (b) 53 (c) 54 (d) 29
  14. 14.What is the average of 45, 71, 54, 62 and 48? (a) 70 (b) 57 (c) 55 (d) 56
  15. 15.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 41 (c) 30 (d) 65
  16. 16.What is the average of all the whole numbers from 11 to 35? (a) 23 (b) 22 (c) 12 (d) 24
  17. 17.What is the average of all the whole numbers from 10 to 40? (a) 15 (b) 26 (c) 25 (d) 30
  18. 18.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 80 (b) 30 (c) 56 (d) 62
  19. 19.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 76 (d) 27
  20. 20.What is the average of 27, 15, 20, 33 and 50? (a) 30 (b) 31 (c) 29 (d) 28
  21. 21.What is the average of 43, 43, 36 and 70? (a) 47 (b) 64 (c) 49 (d) 48
  22. 22.What is the average of all the whole numbers from 14 to 36? (a) 22 (b) 11 (c) 26 (d) 25
  23. 23.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 21 (b) 70 (c) 22 (d) 33
  24. 24.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 30 (b) 69 (c) 34 (d) 31
  25. 25.What is the average of all the whole numbers from 20 to 52? (a) 16 (b) 37 (c) 32 (d) 36
  26. 26.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 61 (b) 60 (c) 36 (d) 30
  27. 27.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 16 (c) 14 (d) 28
  28. 28.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 48 (c) 68 (d) 24
  29. 29.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 49 (b) 103 (c) 34 (d) 35
  30. 30.What is the average of 66, 54, 62, 64 and 69? (a) 64 (b) 65 (c) 62 (d) 63
  31. 31.What is the average of 53, 23, 31, 42 and 41? (a) 40 (b) 38 (c) 39 (d) 37
  32. 32.What is the average of 6, 12, 29, 27, 16 and 30? (a) 21 (b) 24 (c) 19 (d) 20
  33. 33.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 23 (c) 45 (d) 5
  34. 34.What is the average of all the whole numbers from 25 to 65? (a) 46 (b) 20 (c) 45 (d) 40
  35. 35.What is the average of all the whole numbers from 25 to 47? (a) 36 (b) 37 (c) 22 (d) 11
  36. 36.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 61 (b) 26 (c) 47 (d) 40
  37. 37.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 33 (c) 81 (d) 60
  38. 38.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 36 (c) 86 (d) 58
  39. 39.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 89 (c) 39 (d) 38
  40. 40.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 63 (c) 28 (d) 49

Answer key

  1. 76
  2. 77
  3. 70
  4. 68
  5. 55
  6. 48
  7. 48
  8. 34
  9. 53
  10. 54
  11. 49
  12. 39
  13. 54
  14. 56
  15. 65
  16. 23
  17. 25
  18. 80
  19. 76
  20. 29
  21. 48
  22. 25
  23. 21
  24. 30
  25. 36
  26. 60
  27. 28
  28. 68
  29. 34
  30. 63
  31. 38
  32. 20
  33. 27
  34. 45
  35. 36
  36. 61
  37. 81
  38. 86
  39. 38
  40. 63

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