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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 140 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 50. What is the largest of them?
  3. 3.The sum of two numbers is 81 and their difference is 9. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.One number is 4 times another. Their difference is 9. What is the smaller number?
  6. 6.The sum of two numbers is 73 and their difference is 47. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 17. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 36. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 76. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 72. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  13. 13.The sum of two numbers is 42 and their difference is 18. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  15. 15.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  16. 16.The sum of two numbers is 34 and their difference is 2. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 16. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  24. 24.The sum of two numbers is 66 and their difference is 2. What is the smaller number?
  25. 25.The sum of two numbers is 133 and their difference is 59. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 180. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 4. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 18. What is the smaller number?
  32. 32.The sum of two numbers is 19 and their difference is 11. What is the larger number?
  33. 33.The sum of two numbers is 23 and their difference is 1. What is the smaller number?
  34. 34.The sum of two numbers is 61 and their difference is 15. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 72. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  39. 39.The sum of two numbers is 95 and their difference is 3. What is the smaller number?
  40. 40.The sum of two numbers is 147 and their difference is 17. What is the smaller number?

Answer key

  1. 73
  2. 14
  3. 36
  4. 36
  5. 3
  6. 13
  7. 17
  8. 18
  9. 78
  10. 38
  11. 25
  12. 12
  13. 12
  14. 49
  15. 20
  16. 16
  17. 51
  18. 50
  19. 8
  20. 64
  21. 68
  22. 12
  23. 31
  24. 32
  25. 37
  26. 36
  27. 61
  28. 4
  29. 69
  30. 10
  31. 18
  32. 15
  33. 11
  34. 23
  35. 41
  36. 11
  37. 36
  38. 48
  39. 46
  40. 65

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