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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 842 · 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.One number is 2 times another. Their difference is 25. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 12. What is the smaller number?
  3. 3.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?
  4. 4.One number is 4 times another. Their difference is 87. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of two numbers is 111 and their difference is 49. What is the larger number?
  11. 11.One number is 2 times another. Their difference is 35. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 24. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 40. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  19. 19.The sum of two numbers is 82 and their difference is 72. What is the smaller number?
  20. 20.The sum of two numbers is 16 and their difference is 4. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of 3 consecutive numbers is 90. What is the largest of them?
  23. 23.The sum of two numbers is 90 and their difference is 22. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 125. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 54. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 90. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  29. 29.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.The sum of 4 consecutive numbers is 126. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  33. 33.The sum of two numbers is 157 and their difference is 9. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 140. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 31. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 24. What is the smaller number?

Answer key

  1. 25
  2. 12
  3. 68
  4. 29
  5. 31
  6. 39
  7. 26
  8. 57
  9. 89
  10. 80
  11. 35
  12. 16
  13. 9
  14. 40
  15. 69
  16. 15
  17. 14
  18. 51
  19. 5
  20. 6
  21. 12
  22. 31
  23. 34
  24. 27
  25. 19
  26. 20
  27. 56
  28. 43
  29. 26
  30. 47
  31. 33
  32. 59
  33. 83
  34. 75
  35. 11
  36. 35
  37. 31
  38. 14
  39. 15
  40. 12

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