← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 851 · 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 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 58 (c) 30 (d) 64
  2. 2.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 59 (b) 80 (c) 52 (d) 35
  3. 3.What is the average of 72, 57, 65, 68, 73 and 97? (a) 73 (b) 74 (c) 71 (d) 72
  4. 4.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 30 (b) 58 (c) 31 (d) 34
  5. 5.What is the average of 87, 68, 83 and 50? (a) 71 (b) 73 (c) 96 (d) 72
  6. 6.What is the average of 42, 17, 29, 31 and 36? (a) 30 (b) 33 (c) 32 (d) 31
  7. 7.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 71 (c) 5 (d) 36
  8. 8.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 52 (b) 40 (c) 76 (d) 16
  9. 9.What is the average of all the whole numbers from 23 to 47? (a) 24 (b) 35 (c) 12 (d) 36
  10. 10.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 40 (b) 28 (c) 54 (d) 14
  11. 11.What is the average of all the whole numbers from 14 to 34? (a) 10 (b) 25 (c) 20 (d) 24
  12. 12.What is the average of all the whole numbers from 28 to 52? (a) 12 (b) 24 (c) 41 (d) 40
  13. 13.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 20 (b) 28 (c) 43 (d) 51
  14. 14.What is the average of 57, 44, 52 and 47? (a) 50 (b) 49 (c) 51 (d) 52
  15. 15.What is the average of 54, 62, 53, 52, 72 and 73? (a) 61 (b) 62 (c) 63 (d) 60
  16. 16.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 52 (b) 4 (c) 49 (d) 97
  17. 17.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 16 (c) 74 (d) 51
  18. 18.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 64 (c) 29 (d) 85
  19. 19.What is the average of all the whole numbers from 11 to 29? (a) 9 (b) 21 (c) 18 (d) 20
  20. 20.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 32 (c) 54 (d) 57
  21. 21.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 81 (c) 48 (d) 80
  22. 22.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 30 (c) 72 (d) 29
  23. 23.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 78 (d) 56
  24. 24.What is the average of 61, 51, 63, 60 and 85? (a) 64 (b) 63 (c) 80 (d) 65
  25. 25.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 93 (b) 25 (c) 24 (d) 45
  26. 26.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 67 (b) 47 (c) 24 (d) 51
  27. 27.What is the average of all the whole numbers from 10 to 26? (a) 8 (b) 19 (c) 18 (d) 16
  28. 28.What is the average of all the whole numbers from 32 to 62? (a) 47 (b) 30 (c) 48 (d) 15
  29. 29.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 21 (b) 24 (c) 45 (d) 42
  30. 30.What is the average of all the whole numbers from 17 to 25? (a) 4 (b) 21 (c) 22 (d) 8
  31. 31.What is the average of 39, 27, 44 and 30? (a) 37 (b) 35 (c) 34 (d) 36
  32. 32.What is the average of all the whole numbers from 25 to 35? (a) 31 (b) 10 (c) 30 (d) 5
  33. 33.What is the average of 69, 71, 66 and 78? (a) 70 (b) 71 (c) 72 (d) 73
  34. 34.What is the average of 55, 39, 46, 59, 30 and 41? (a) 44 (b) 46 (c) 45 (d) 54
  35. 35.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 36 (c) 68 (d) 28
  36. 36.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 67 (b) 61 (c) 115 (d) 60
  37. 37.What is the average of all the whole numbers from 12 to 40? (a) 27 (b) 28 (c) 14 (d) 26
  38. 38.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 102 (c) 38 (d) 72
  39. 39.What is the average of 22, 25, 29 and 56? (a) 44 (b) 32 (c) 33 (d) 34
  40. 40.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 35 (c) 30 (d) 60

Answer key

  1. 82
  2. 80
  3. 72
  4. 58
  5. 72
  6. 31
  7. 40
  8. 52
  9. 35
  10. 40
  11. 24
  12. 40
  13. 43
  14. 50
  15. 61
  16. 52
  17. 51
  18. 85
  19. 20
  20. 57
  21. 80
  22. 29
  23. 78
  24. 64
  25. 24
  26. 67
  27. 18
  28. 47
  29. 42
  30. 21
  31. 35
  32. 30
  33. 71
  34. 45
  35. 68
  36. 115
  37. 26
  38. 102
  39. 33
  40. 60

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad