← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 237 · 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 59, 68, 58, 68 and 57? (a) 63 (b) 61 (c) 64 (d) 62
  2. 2.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 18 (c) 38 (d) 43
  3. 3.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 15 (c) 16 (d) 4
  4. 4.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) 48 (b) 81 (c) 80 (d) 40
  5. 5.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 12 (c) 52 (d) 53
  6. 6.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 21 (c) 20 (d) 24
  7. 7.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 49? (a) 67 (b) 55 (c) 24 (d) 49
  8. 8.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 15 (b) 57 (c) 48 (d) 45
  9. 9.What is the average of 23, 29, 44 and 44? (a) 35 (b) 34 (c) 36 (d) 37
  10. 10.What is the average of 19, 21, 13 and 27? (a) 21 (b) 19 (c) 22 (d) 20
  11. 11.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 8 (b) 40 (c) 42 (d) 46
  12. 12.What is the average of 45, 34, 29 and 12? (a) 40 (b) 29 (c) 31 (d) 30
  13. 13.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 74 (b) 42 (c) 40 (d) 50
  14. 14.What is the average of all the whole numbers from 31 to 71? (a) 40 (b) 20 (c) 52 (d) 51
  15. 15.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 93 (b) 37 (c) 30 (d) 70
  16. 16.What is the average of all the whole numbers from 7 to 25? (a) 17 (b) 16 (c) 18 (d) 9
  17. 17.What is the average of 34, 42, 50, 35 and 44? (a) 42 (b) 40 (c) 43 (d) 41
  18. 18.What is the average of all the whole numbers from 37 to 45? (a) 4 (b) 41 (c) 42 (d) 8
  19. 19.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 73 (c) 74 (d) 39
  20. 20.What is the average of all the whole numbers from 18 to 42? (a) 24 (b) 30 (c) 12 (d) 31
  21. 21.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 12 (b) 44 (c) 33 (d) 23
  22. 22.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 7 (c) 32 (d) 8
  23. 23.What is the average of 24, 39, 20, 23 and 64? (a) 33 (b) 34 (c) 36 (d) 35
  24. 24.What is the average of 49, 52, 33, 51 and 10? (a) 40 (b) 41 (c) 39 (d) 38
  25. 25.What is the average of 12, 19, 22, 15 and 52? (a) 30 (b) 25 (c) 23 (d) 24
  26. 26.What is the average of 15, 31, 31 and 15? (a) 22 (b) 24 (c) 25 (d) 23
  27. 27.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 35 (c) 29 (d) 10
  28. 28.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 47? (a) 47 (b) 15 (c) 59 (d) 50
  29. 29.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 73 (b) 61 (c) 57 (d) 20
  30. 30.What is the average of all the whole numbers from 13 to 51? (a) 32 (b) 33 (c) 38 (d) 19
  31. 31.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 49 (c) 71 (d) 106
  32. 32.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 36 (c) 73 (d) 43
  33. 33.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 10 (c) 34 (d) 28
  34. 34.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 60 (b) 40 (c) 24 (d) 44
  35. 35.What is the average of 26, 27, 10 and 21? (a) 21 (b) 20 (c) 22 (d) 28
  36. 36.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) 48 (c) 52 (d) 20
  37. 37.What is the average of all the whole numbers from 39 to 75? (a) 57 (b) 18 (c) 36 (d) 58
  38. 38.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 43 (b) 20 (c) 55 (d) 39
  39. 39.What is the average of 30, 43, 32, 35, 57 and 55? (a) 44 (b) 41 (c) 43 (d) 42
  40. 40.What is the average of all the whole numbers from 20 to 48? (a) 14 (b) 28 (c) 34 (d) 35

Answer key

  1. 62
  2. 38
  3. 15
  4. 80
  5. 52
  6. 20
  7. 67
  8. 57
  9. 35
  10. 20
  11. 46
  12. 30
  13. 74
  14. 51
  15. 93
  16. 16
  17. 41
  18. 41
  19. 74
  20. 30
  21. 33
  22. 7
  23. 34
  24. 39
  25. 24
  26. 23
  27. 35
  28. 59
  29. 73
  30. 32
  31. 106
  32. 73
  33. 34
  34. 60
  35. 21
  36. 64
  37. 57
  38. 55
  39. 42
  40. 34

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