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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 938 · 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 all the whole numbers from 18 to 50? (a) 32 (b) 16 (c) 34 (d) 35
  2. 2.What is the average of 39, 32, 22, 30, 37 and 14? (a) 30 (b) 28 (c) 31 (d) 29
  3. 3.What is the average of 54, 47, 57, 66 and 76? (a) 60 (b) 61 (c) 75 (d) 59
  4. 4.What is the average of 23, 24, 19, 21, 30 and 51? (a) 27 (b) 29 (c) 28 (d) 30
  5. 5.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 52 (c) 87 (d) 45
  6. 6.What is the average of 31, 58, 53, 40 and 33? (a) 44 (b) 43 (c) 45 (d) 42
  7. 7.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 5 (c) 30 (d) 51
  8. 8.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 36 (c) 48 (d) 16
  9. 9.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 110 (c) 62 (d) 56
  10. 10.What is the average of 61, 74, 57, 58 and 80? (a) 68 (b) 67 (c) 65 (d) 66
  11. 11.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) 29 (b) 31 (c) 20 (d) 47
  12. 12.What is the average of 46, 44, 46, 59 and 80? (a) 57 (b) 54 (c) 55 (d) 56
  13. 13.What is the average of all the whole numbers from 11 to 25? (a) 19 (b) 14 (c) 18 (d) 7
  14. 14.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 49 (b) 77 (c) 42 (d) 35
  15. 15.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 16 (c) 54 (d) 42
  16. 16.What is the average of all the whole numbers from 24 to 30? (a) 28 (b) 3 (c) 27 (d) 6
  17. 17.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 8 (c) 34 (d) 66
  18. 18.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 42 (b) 12 (c) 62 (d) 32
  19. 19.What is the average of 40, 56, 62, 47 and 40? (a) 48 (b) 49 (c) 50 (d) 51
  20. 20.What is the average of 69, 60, 65, 72, 59 and 89? (a) 70 (b) 71 (c) 68 (d) 69
  21. 21.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 27? (a) 59 (b) 31 (c) 27 (d) 36
  22. 22.What is the average of 27, 27, 24, 31 and 36? (a) 28 (b) 31 (c) 30 (d) 29
  23. 23.What is the average of all the whole numbers from 12 to 46? (a) 30 (b) 29 (c) 17 (d) 34
  24. 24.What is the average of all the whole numbers from 15 to 33? (a) 18 (b) 9 (c) 24 (d) 25
  25. 25.What is the average of 15, 28, 17 and 28? (a) 22 (b) 24 (c) 21 (d) 23
  26. 26.What is the average of all the whole numbers from 48 to 62? (a) 14 (b) 56 (c) 7 (d) 55
  27. 27.What is the average of 76, 75, 54 and 71? (a) 92 (b) 68 (c) 69 (d) 70
  28. 28.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 63 (b) 93 (c) 18 (d) 48
  29. 29.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 35 (c) 13 (d) 14
  30. 30.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 37 (c) 38 (d) 89
  31. 31.What is the average of all the whole numbers from 18 to 44? (a) 31 (b) 26 (c) 13 (d) 32
  32. 32.What is the average of all the whole numbers from 30 to 70? (a) 40 (b) 20 (c) 51 (d) 50
  33. 33.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 16 (c) 33 (d) 10
  34. 34.What is the average of 31, 43, 45, 27 and 4? (a) 30 (b) 31 (c) 29 (d) 32
  35. 35.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 29 (b) 23 (c) 44 (d) 8
  36. 36.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 52 (b) 16 (c) 41 (d) 27
  37. 37.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 28 (c) 26 (d) 25
  38. 38.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 62 (b) 6 (c) 5 (d) 29
  39. 39.What is the average of all the whole numbers from 49 to 75? (a) 13 (b) 63 (c) 26 (d) 62
  40. 40.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 50? (a) 106 (b) 64 (c) 50 (d) 58

Answer key

  1. 34
  2. 29
  3. 60
  4. 28
  5. 87
  6. 43
  7. 30
  8. 48
  9. 110
  10. 66
  11. 47
  12. 55
  13. 18
  14. 77
  15. 54
  16. 27
  17. 40
  18. 42
  19. 49
  20. 69
  21. 59
  22. 29
  23. 29
  24. 24
  25. 22
  26. 55
  27. 69
  28. 63
  29. 13
  30. 37
  31. 31
  32. 50
  33. 10
  34. 30
  35. 29
  36. 41
  37. 25
  38. 5
  39. 62
  40. 106

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