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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 868 · 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 30. What is the largest of them?
  2. 2.The sum of two numbers is 38 and their difference is 12. What is the larger number?
  3. 3.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 37. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 75. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.The sum of two numbers is 47 and their difference is 15. What is the larger number?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  10. 10.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 3. What is the smaller number?
  14. 14.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?
  15. 15.One number is 2 times another. Their difference is 19. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 48. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 7. What is the smaller number?
  19. 19.One number is 6 times another. Their difference is 120. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 52. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 58. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  26. 26.The sum of two numbers is 136 and their difference is 10. What is the smaller number?
  27. 27.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?
  28. 28.One number is 5 times another. Their difference is 44. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  30. 30.The sum of two numbers is 120 and their difference is 74. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 130. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 112. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 78. What is the smaller number?
  35. 35.The sum of two numbers is 47 and their difference is 27. What is the larger number?
  36. 36.One number is 3 times another. Their difference is 6. What is the smaller number?
  37. 37.The sum of two numbers is 99 and their difference is 79. What is the larger number?
  38. 38.One number is 6 times another. Their difference is 180. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  40. 40.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?

Answer key

  1. 11
  2. 25
  3. 22
  4. 37
  5. 25
  6. 17
  7. 14
  8. 31
  9. 29
  10. 27
  11. 78
  12. 31
  13. 3
  14. 89
  15. 19
  16. 29
  17. 24
  18. 7
  19. 24
  20. 59
  21. 24
  22. 13
  23. 30
  24. 29
  25. 23
  26. 63
  27. 49
  28. 11
  29. 71
  30. 23
  31. 10
  32. 26
  33. 28
  34. 39
  35. 37
  36. 3
  37. 89
  38. 36
  39. 52
  40. 45

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