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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 738 · 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 161 and their difference is 33. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 38. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 150. What is the largest of them?
  5. 5.The sum of two numbers is 80 and their difference is 48. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  7. 7.The sum of two numbers is 15 and their difference is 13. What is the larger number?
  8. 8.One number is 6 times another. Their difference is 40. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 30. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  12. 12.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  13. 13.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?
  14. 14.One number is 3 times another. Their difference is 28. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 80. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 3 times another. Their difference is 52. What is the smaller number?
  19. 19.The sum of two numbers is 98 and their difference is 88. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  21. 21.The sum of two numbers is 129 and their difference is 25. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 38. What is the smaller number?
  23. 23.The sum of two numbers is 41 and their difference is 27. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 138. What is the largest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 38 and their difference is 24. What is the larger number?
  29. 29.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 15. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  32. 32.The sum of two numbers is 13 and their difference is 7. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 20. What is the smaller number?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 111. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  38. 38.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?

Answer key

  1. 64
  2. 69
  3. 11
  4. 51
  5. 64
  6. 15
  7. 14
  8. 8
  9. 30
  10. 17
  11. 19
  12. 30
  13. 78
  14. 14
  15. 16
  16. 50
  17. 39
  18. 26
  19. 5
  20. 29
  21. 52
  22. 38
  23. 7
  24. 57
  25. 67
  26. 47
  27. 45
  28. 31
  29. 32
  30. 5
  31. 24
  32. 10
  33. 20
  34. 27
  35. 37
  36. 73
  37. 16
  38. 8
  39. 13
  40. 61

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