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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 60 · 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 3 consecutive odd numbers is 159. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The sum of two numbers is 85 and their difference is 47. What is the smaller number?
  4. 4.The sum of two numbers is 122 and their difference is 30. What is the larger number?
  5. 5.One number is 3 times another. Their difference is 18. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 147. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 114. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 45. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 33. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  11. 11.The sum of two numbers is 62 and their difference is 34. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 35. What is the smaller number?
  13. 13.The sum of two numbers is 16 and their difference is 8. What is the smaller number?
  14. 14.The sum of two numbers is 43 and their difference is 27. What is the larger number?
  15. 15.The sum of 5 consecutive numbers is 155. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  19. 19.One number is 6 times another. Their difference is 185. What is the smaller number?
  20. 20.The sum of two numbers is 134 and their difference is 10. What is the larger number?
  21. 21.One number is 2 times another. Their difference is 23. What is the smaller number?
  22. 22.The sum of two numbers is 123 and their difference is 71. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 22. What is the smaller number?
  24. 24.The sum of two numbers is 42 and their difference is 6. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 38. What is the largest of them?
  27. 27.The sum of two numbers is 20 and their difference is 6. What is the smaller number?
  28. 28.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?
  29. 29.The sum of two numbers is 84 and their difference is 46. What is the larger number?
  30. 30.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of two numbers is 155 and their difference is 27. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 57. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 45. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 64. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  40. 40.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?

Answer key

  1. 51
  2. 58
  3. 19
  4. 76
  5. 9
  6. 50
  7. 39
  8. 9
  9. 33
  10. 27
  11. 14
  12. 7
  13. 4
  14. 35
  15. 33
  16. 19
  17. 52
  18. 21
  19. 37
  20. 72
  21. 23
  22. 26
  23. 11
  24. 24
  25. 15
  26. 11
  27. 7
  28. 69
  29. 65
  30. 78
  31. 64
  32. 19
  33. 15
  34. 59
  35. 75
  36. 16
  37. 9
  38. 46
  39. 17
  40. 67

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