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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 379 · 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 38, 45, 56, 32 and 34? (a) 43 (b) 40 (c) 41 (d) 42
  2. 2.What is the average of all the whole numbers from 29 to 39? (a) 35 (b) 5 (c) 34 (d) 10
  3. 3.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 51 (b) 23 (c) 8 (d) 9
  4. 4.What is the average of 30, 19, 7, 34, 9 and 33? (a) 23 (b) 24 (c) 21 (d) 22
  5. 5.What is the average of all the whole numbers from 31 to 39? (a) 8 (b) 35 (c) 36 (d) 4
  6. 6.What is the average of all the whole numbers from 36 to 66? (a) 30 (b) 52 (c) 15 (d) 51
  7. 7.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 50 (c) 30 (d) 75
  8. 8.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 23 (c) 22 (d) 55
  9. 9.What is the average of 75, 63, 59 and 79? (a) 69 (b) 70 (c) 68 (d) 92
  10. 10.What is the average of all the whole numbers from 18 to 24? (a) 21 (b) 22 (c) 3 (d) 6
  11. 11.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 90 (c) 42 (d) 60
  12. 12.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 5 (b) 16 (c) 20 (d) 31
  13. 13.What is the average of all the whole numbers from 42 to 80? (a) 61 (b) 19 (c) 38 (d) 62
  14. 14.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 10 (c) 30 (d) 32
  15. 15.What is the average of all the whole numbers from 17 to 47? (a) 15 (b) 33 (c) 30 (d) 32
  16. 16.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 21 (c) 41 (d) 25
  17. 17.What is the average of 77, 72, 71 and 76? (a) 73 (b) 75 (c) 74 (d) 76
  18. 18.What is the average of 39, 48, 23, 24 and 31? (a) 33 (b) 32 (c) 34 (d) 35
  19. 19.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 64 (b) 20 (c) 52 (d) 48
  20. 20.What is the average of 76, 48, 54, 72, 51 and 77? (a) 62 (b) 64 (c) 65 (d) 63
  21. 21.What is the average of all the whole numbers from 18 to 54? (a) 37 (b) 35 (c) 18 (d) 36
  22. 22.What is the average of 33, 19, 12, 18 and 43? (a) 27 (b) 25 (c) 24 (d) 26
  23. 23.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 16 (b) 76 (c) 64 (d) 62
  24. 24.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 58 (c) 41 (d) 40
  25. 25.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 4 (b) 31 (c) 3 (d) 66
  26. 26.What is the average of all the whole numbers from 24 to 34? (a) 10 (b) 30 (c) 29 (d) 5
  27. 27.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 39 (c) 23 (d) 4
  28. 28.What is the average of all the whole numbers from 40 to 58? (a) 18 (b) 9 (c) 50 (d) 49
  29. 29.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 44 (c) 76 (d) 36
  30. 30.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 46? (a) 40 (b) 46 (c) 81 (d) 51
  31. 31.What is the average of 22, 28, 45 and 37? (a) 44 (b) 32 (c) 34 (d) 33
  32. 32.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 26 (c) 31 (d) 25
  33. 33.What is the average of all the whole numbers from 57 to 91? (a) 34 (b) 75 (c) 74 (d) 17
  34. 34.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 100 (b) 44 (c) 70 (d) 37
  35. 35.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 30 (b) 52 (c) 49 (d) 76
  36. 36.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) 56 (b) 63 (c) 70 (d) 112
  37. 37.What is the average of all the whole numbers from 44 to 56? (a) 12 (b) 51 (c) 6 (d) 50
  38. 38.What is the average of all the whole numbers from 42 to 52? (a) 5 (b) 10 (c) 48 (d) 47
  39. 39.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 40 (b) 28 (c) 36 (d) 60
  40. 40.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 18 (b) 62 (c) 60 (d) 76

Answer key

  1. 41
  2. 34
  3. 8
  4. 22
  5. 35
  6. 51
  7. 75
  8. 22
  9. 69
  10. 21
  11. 90
  12. 20
  13. 61
  14. 38
  15. 32
  16. 25
  17. 74
  18. 33
  19. 64
  20. 63
  21. 36
  22. 25
  23. 76
  24. 58
  25. 3
  26. 29
  27. 23
  28. 49
  29. 76
  30. 81
  31. 33
  32. 25
  33. 74
  34. 100
  35. 76
  36. 112
  37. 50
  38. 47
  39. 60
  40. 76

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