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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 610 · 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.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 20 (c) 11 (d) 14
  2. 2.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 35 (c) 8 (d) 42
  3. 3.What is the average of 77, 87, 74, 64, 85 and 75? (a) 76 (b) 77 (c) 79 (d) 78
  4. 4.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 12 (b) 83 (c) 43 (d) 52
  5. 5.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 35 (b) 14 (c) 23 (d) 44
  6. 6.What is the average of 56, 48, 60, 57, 42 and 61? (a) 53 (b) 55 (c) 54 (d) 56
  7. 7.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 28 (b) 67 (c) 88 (d) 74
  8. 8.What is the average of all the whole numbers from 34 to 68? (a) 34 (b) 51 (c) 17 (d) 52
  9. 9.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 82 (b) 57 (c) 30 (d) 62
  10. 10.What is the average of 45, 44, 46 and 93? (a) 57 (b) 56 (c) 76 (d) 58
  11. 11.What is the average of all the whole numbers from 16 to 48? (a) 32 (b) 31 (c) 16 (d) 33
  12. 12.What is the average of 24, 36, 27, 44, 23 and 50? (a) 33 (b) 36 (c) 34 (d) 35
  13. 13.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 52 (c) 30 (d) 72
  14. 14.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 30 (c) 28 (d) 54
  15. 15.What is the average of all the whole numbers from 36 to 54? (a) 9 (b) 46 (c) 45 (d) 18
  16. 16.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 6 (b) 20 (c) 39 (d) 25
  17. 17.What is the average of all the whole numbers from 47 to 79? (a) 16 (b) 32 (c) 64 (d) 63
  18. 18.What is the average of 14, 26, 10 and 38? (a) 24 (b) 23 (c) 21 (d) 22
  19. 19.What is the average of all the whole numbers from 46 to 60? (a) 53 (b) 7 (c) 54 (d) 14
  20. 20.What is the average of all the whole numbers from 33 to 67? (a) 50 (b) 17 (c) 51 (d) 34
  21. 21.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 25? (a) 25 (b) 10 (c) 33 (d) 27
  22. 22.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 36? (a) 39 (b) 48 (c) 36 (d) 15
  23. 23.What is the average of 53, 56, 40, 54, 41 and 26? (a) 46 (b) 54 (c) 44 (d) 45
  24. 24.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 38 (d) 12
  25. 25.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 15 (c) 64 (d) 73
  26. 26.What is the average of all the whole numbers from 43 to 53? (a) 5 (b) 10 (c) 49 (d) 48
  27. 27.What is the average of all the whole numbers from 37 to 45? (a) 42 (b) 8 (c) 4 (d) 41
  28. 28.What is the average of all the whole numbers from 16 to 28? (a) 12 (b) 22 (c) 6 (d) 23
  29. 29.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 47 (b) 97 (c) 39 (d) 38
  30. 30.What is the average of all the whole numbers from 59 to 65? (a) 3 (b) 63 (c) 6 (d) 62
  31. 31.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 20 (b) 77 (c) 61 (d) 65
  32. 32.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 18 (c) 21 (d) 43
  33. 33.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 83 (c) 42 (d) 55
  34. 34.What is the average of 40, 45, 26, 34, 46 and 25? (a) 38 (b) 35 (c) 36 (d) 37
  35. 35.What is the average of 39, 59, 34, 49 and 59? (a) 60 (b) 49 (c) 47 (d) 48
  36. 36.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 25 (b) 16 (c) 11 (d) 20
  37. 37.What is the average of 56, 58, 43, 34 and 44? (a) 48 (b) 47 (c) 46 (d) 49
  38. 38.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 2 (b) 54 (c) 1 (d) 25
  39. 39.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 8 (c) 45 (d) 51
  40. 40.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 38 (c) 8 (d) 32

Answer key

  1. 23
  2. 42
  3. 77
  4. 52
  5. 35
  6. 54
  7. 88
  8. 51
  9. 82
  10. 57
  11. 32
  12. 34
  13. 72
  14. 54
  15. 45
  16. 25
  17. 63
  18. 22
  19. 53
  20. 50
  21. 33
  22. 48
  23. 45
  24. 38
  25. 73
  26. 48
  27. 41
  28. 22
  29. 38
  30. 62
  31. 77
  32. 17
  33. 83
  34. 36
  35. 48
  36. 25
  37. 47
  38. 1
  39. 51
  40. 38

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