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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 216 · 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 68, 75, 77 and 44? (a) 65 (b) 67 (c) 66 (d) 88
  2. 2.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 95 (c) 63 (d) 46
  3. 3.What is the average of all the whole numbers from 27 to 53? (a) 40 (b) 41 (c) 13 (d) 26
  4. 4.What is the average of 31, 25, 40 and 32? (a) 31 (b) 33 (c) 32 (d) 34
  5. 5.What is the average of all the whole numbers from 33 to 73? (a) 54 (b) 20 (c) 53 (d) 40
  6. 6.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 8 (b) 40 (c) 46 (d) 42
  7. 7.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 34 (c) 37 (d) 35
  8. 8.What is the average of all the whole numbers from 10 to 44? (a) 17 (b) 34 (c) 27 (d) 28
  9. 9.What is the average of 25, 44, 26, 30 and 25? (a) 31 (b) 29 (c) 30 (d) 32
  10. 10.What is the average of all the whole numbers from 15 to 49? (a) 32 (b) 17 (c) 33 (d) 34
  11. 11.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 51? (a) 54 (b) 27 (c) 75 (d) 51
  12. 12.What is the average of all the whole numbers from 27 to 41? (a) 14 (b) 34 (c) 7 (d) 35
  13. 13.What is the average of 19, 41, 42 and 26? (a) 32 (b) 31 (c) 33 (d) 34
  14. 14.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 56 (d) 40
  15. 15.What is the average of all the whole numbers from 54 to 70? (a) 16 (b) 62 (c) 8 (d) 63
  16. 16.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 44 (c) 7 (d) 50
  17. 17.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 86 (b) 62 (c) 40 (d) 54
  18. 18.What is the average of all the whole numbers from 13 to 39? (a) 25 (b) 13 (c) 27 (d) 26
  19. 19.What is the average of all the whole numbers from 8 to 26? (a) 18 (b) 17 (c) 9 (d) 16
  20. 20.What is the average of all the whole numbers from 24 to 40? (a) 8 (b) 16 (c) 32 (d) 33
  21. 21.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 112 (b) 56 (c) 70 (d) 63
  22. 22.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 41 (b) 4 (c) 18 (d) 3
  23. 23.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 21 (b) 22 (c) 31 (d) 64
  24. 24.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 32 (c) 49 (d) 73
  25. 25.What is the average of 28, 36, 51 and 53? (a) 56 (b) 43 (c) 42 (d) 41
  26. 26.What is the average of 38, 28, 41, 19, 45 and 33? (a) 34 (b) 33 (c) 35 (d) 36
  27. 27.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 98 (b) 56 (c) 49 (d) 63
  28. 28.What is the average of all the whole numbers from 6 to 18? (a) 6 (b) 13 (c) 11 (d) 12
  29. 29.What is the average of 53, 48, 57, 41, 60 and 23? (a) 47 (b) 48 (c) 46 (d) 49
  30. 30.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 72 (b) 95 (c) 39 (d) 31
  31. 31.What is the average of 21, 35, 21, 19, 34 and 62? (a) 32 (b) 31 (c) 33 (d) 34
  32. 32.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 82 (c) 34 (d) 56
  33. 33.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 8 (b) 64 (c) 33 (d) 39
  34. 34.What is the average of 29, 21, 31, 23 and 31? (a) 26 (b) 29 (c) 28 (d) 27
  35. 35.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 53? (a) 74 (b) 53 (c) 28 (d) 60
  36. 36.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 16 (c) 15 (d) 20
  37. 37.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 56 (b) 32 (c) 29 (d) 30
  38. 38.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 19 (c) 20 (d) 52
  39. 39.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 31 (b) 40 (c) 12 (d) 21
  40. 40.What is the average of 63, 55, 56 and 82? (a) 63 (b) 66 (c) 65 (d) 64

Answer key

  1. 66
  2. 95
  3. 40
  4. 32
  5. 53
  6. 46
  7. 34
  8. 27
  9. 30
  10. 32
  11. 75
  12. 34
  13. 32
  14. 56
  15. 62
  16. 50
  17. 86
  18. 26
  19. 17
  20. 32
  21. 112
  22. 3
  23. 21
  24. 73
  25. 42
  26. 34
  27. 98
  28. 12
  29. 47
  30. 95
  31. 32
  32. 82
  33. 39
  34. 27
  35. 74
  36. 15
  37. 56
  38. 19
  39. 31
  40. 64

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