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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 831 · 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 numbers is 81. What is the largest of them?
  2. 2.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?
  3. 3.One number is 2 times another. Their difference is 15. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 80. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 88. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 54 and their difference is 22. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  11. 11.The sum of two numbers is 66 and their difference is 16. What is the larger number?
  12. 12.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?
  13. 13.The sum of two numbers is 98 and their difference is 56. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 24 and their difference is 2. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 21. What is the smaller number?
  19. 19.The sum of two numbers is 123 and their difference is 61. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 40. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 17. What is the smaller number?
  22. 22.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?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The sum of two numbers is 64 and their difference is 10. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 170. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  32. 32.The sum of two numbers is 65 and their difference is 27. What is the larger number?
  33. 33.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  35. 35.The sum of two numbers is 20 and their difference is 14. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 22. What is the smaller number?
  37. 37.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?
  38. 38.The sum of two numbers is 124 and their difference is 62. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?

Answer key

  1. 28
  2. 68
  3. 15
  4. 20
  5. 22
  6. 40
  7. 59
  8. 38
  9. 20
  10. 19
  11. 41
  12. 78
  13. 77
  14. 16
  15. 10
  16. 89
  17. 11
  18. 21
  19. 31
  20. 10
  21. 17
  22. 58
  23. 27
  24. 27
  25. 34
  26. 45
  27. 39
  28. 11
  29. 20
  30. 26
  31. 42
  32. 46
  33. 59
  34. 23
  35. 3
  36. 11
  37. 34
  38. 31
  39. 67
  40. 39

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