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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 118 · 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 two numbers is 129 and their difference is 49. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  3. 3.The sum of two numbers is 57 and their difference is 47. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 72. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of two numbers is 30 and their difference is 22. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  10. 10.The sum of 4 consecutive numbers is 166. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 4 consecutive numbers is 58. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 34. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 165. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 114. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 110. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of two numbers is 85 and their difference is 51. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 112. What is the smaller number?
  21. 21.The sum of two numbers is 90 and their difference is 10. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 24. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 130. What is the largest of them?
  25. 25.The sum of two numbers is 43 and their difference is 11. What is the smaller number?
  26. 26.The sum of two numbers is 140 and their difference is 50. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  28. 28.The sum of two numbers is 90 and their difference is 46. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 165. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 44. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 46. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 185. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  37. 37.The sum of two numbers is 194 and their difference is 2. What is the larger number?
  38. 38.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.One number is 3 times another. Their difference is 44. What is the smaller number?
  40. 40.The sum of two numbers is 43 and their difference is 1. What is the smaller number?

Answer key

  1. 40
  2. 81
  3. 5
  4. 25
  5. 69
  6. 26
  7. 27
  8. 38
  9. 39
  10. 43
  11. 45
  12. 16
  13. 34
  14. 56
  15. 38
  16. 24
  17. 38
  18. 17
  19. 51
  20. 28
  21. 50
  22. 12
  23. 31
  24. 28
  25. 16
  26. 45
  27. 8
  28. 22
  29. 33
  30. 11
  31. 23
  32. 29
  33. 66
  34. 37
  35. 47
  36. 20
  37. 98
  38. 34
  39. 22
  40. 21

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