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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 407 · 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 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 54 (c) 85 (d) 37
  2. 2.What is the average of 46, 22, 43, 21, 36 and 48? (a) 36 (b) 37 (c) 35 (d) 38
  3. 3.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 20 (b) 30 (c) 24 (d) 14
  4. 4.What is the average of all the whole numbers from 11 to 33? (a) 22 (b) 11 (c) 21 (d) 23
  5. 5.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 14 (c) 29 (d) 20
  6. 6.What is the average of all the whole numbers from 29 to 55? (a) 26 (b) 13 (c) 43 (d) 42
  7. 7.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 27? (a) 42 (b) 30 (c) 27 (d) 18
  8. 8.What is the average of 47, 48, 61, 63 and 56? (a) 57 (b) 54 (c) 56 (d) 55
  9. 9.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 24 (b) 34 (c) 46 (d) 28
  10. 10.What is the average of all the whole numbers from 42 to 58? (a) 16 (b) 51 (c) 50 (d) 8
  11. 11.What is the average of 41, 36, 42 and 69? (a) 48 (b) 46 (c) 49 (d) 47
  12. 12.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 48 (c) 24 (d) 66
  13. 13.What is the average of 66, 80, 77, 77, 75 and 93? (a) 77 (b) 80 (c) 79 (d) 78
  14. 14.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) 31 (b) 5 (c) 20 (d) 16
  15. 15.What is the average of all the whole numbers from 53 to 65? (a) 6 (b) 12 (c) 59 (d) 60
  16. 16.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 62 (b) 24 (c) 80 (d) 42
  17. 17.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 36 (c) 27 (d) 12
  18. 18.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 28 (b) 33 (c) 67 (d) 29
  19. 19.What is the average of 38, 61, 58, 59 and 34? (a) 52 (b) 50 (c) 51 (d) 49
  20. 20.What is the average of all the whole numbers from 18 to 28? (a) 5 (b) 24 (c) 10 (d) 23
  21. 21.What is the average of all the whole numbers from 44 to 78? (a) 61 (b) 17 (c) 34 (d) 62
  22. 22.What is the average of 75, 79, 85, 61 and 65? (a) 73 (b) 75 (c) 72 (d) 74
  23. 23.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 37 (c) 12 (d) 18
  24. 24.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 92 (b) 36 (c) 60 (d) 64
  25. 25.What is the average of all the whole numbers from 34 to 68? (a) 52 (b) 34 (c) 51 (d) 17
  26. 26.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 47 (b) 29 (c) 20 (d) 31
  27. 27.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 26 (b) 66 (c) 27 (d) 32
  28. 28.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 35 (d) 8
  29. 29.What is the average of 21, 34, 18, 23, 33 and 45? (a) 29 (b) 28 (c) 31 (d) 30
  30. 30.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 20 (c) 69 (d) 10
  31. 31.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 26 (b) 37 (c) 76 (d) 25
  32. 32.What is the average of 63, 55, 40, 41, 60 and 41? (a) 50 (b) 49 (c) 60 (d) 51
  33. 33.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 12 (b) 13 (c) 39 (d) 19
  34. 34.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 8 (b) 28 (c) 54 (d) 34
  35. 35.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 73 (c) 14 (d) 34
  36. 36.What is the average of 65, 82, 70, 70 and 98? (a) 77 (b) 76 (c) 79 (d) 78
  37. 37.What is the average of 51, 49, 43, 53 and 19? (a) 43 (b) 45 (c) 42 (d) 44
  38. 38.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 49 (b) 45 (c) 38 (d) 80
  39. 39.What is the average of all the whole numbers from 49 to 75? (a) 26 (b) 13 (c) 63 (d) 62
  40. 40.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 51 (c) 18 (d) 39

Answer key

  1. 85
  2. 36
  3. 30
  4. 22
  5. 29
  6. 42
  7. 42
  8. 55
  9. 46
  10. 50
  11. 47
  12. 66
  13. 78
  14. 20
  15. 59
  16. 62
  17. 36
  18. 28
  19. 50
  20. 23
  21. 61
  22. 73
  23. 11
  24. 92
  25. 51
  26. 47
  27. 26
  28. 39
  29. 29
  30. 68
  31. 25
  32. 50
  33. 12
  34. 34
  35. 14
  36. 77
  37. 43
  38. 80
  39. 62
  40. 51

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