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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 216 · 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 even numbers is 140. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.One number is 5 times another. Their difference is 104. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 30. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 70. What is the largest of them?
  12. 12.The sum of two numbers is 49 and their difference is 43. What is the larger number?
  13. 13.One number is 2 times another. Their difference is 17. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 52. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  17. 17.The sum of two numbers is 29 and their difference is 9. What is the larger number?
  18. 18.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.One number is 6 times another. Their difference is 60. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 123. What is the largest of them?
  21. 21.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?
  22. 22.One number is 4 times another. Their difference is 78. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 5 consecutive numbers is 185. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  26. 26.The sum of two numbers is 126 and their difference is 48. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 74. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  32. 32.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?
  33. 33.One number is 3 times another. Their difference is 48. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  35. 35.The sum of two numbers is 36 and their difference is 8. What is the larger number?
  36. 36.One number is 6 times another. Their difference is 90. What is the smaller number?
  37. 37.The sum of two numbers is 45 and their difference is 15. What is the larger number?
  38. 38.The sum of two numbers is 175 and their difference is 5. What is the smaller number?
  39. 39.The sum of two numbers is 63 and their difference is 51. What is the larger number?
  40. 40.The sum of two numbers is 120 and their difference is 10. What is the smaller number?

Answer key

  1. 32
  2. 32
  3. 35
  4. 26
  5. 26
  6. 23
  7. 48
  8. 82
  9. 6
  10. 16
  11. 19
  12. 46
  13. 17
  14. 13
  15. 89
  16. 9
  17. 19
  18. 24
  19. 12
  20. 42
  21. 38
  22. 26
  23. 67
  24. 39
  25. 59
  26. 39
  27. 11
  28. 39
  29. 54
  30. 37
  31. 29
  32. 69
  33. 24
  34. 11
  35. 22
  36. 18
  37. 30
  38. 85
  39. 57
  40. 55

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