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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 475 · 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 even numbers is 48. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 95. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 36. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 110. What is the largest of them?
  10. 10.The sum of two numbers is 113 and their difference is 19. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 117. What is the largest of them?
  12. 12.The sum of two numbers is 72 and their difference is 62. What is the larger number?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  18. 18.The sum of two numbers is 71 and their difference is 21. What is the larger number?
  19. 19.One number is 6 times another. Their difference is 65. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  25. 25.The sum of two numbers is 95 and their difference is 21. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  27. 27.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 42. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 20. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 165. What is the smaller number?
  33. 33.The sum of two numbers is 21 and their difference is 9. What is the larger number?
  34. 34.The sum of two numbers is 41 and their difference is 35. What is the larger number?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 9. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  39. 39.The sum of two numbers is 20 and their difference is 18. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?

Answer key

  1. 14
  2. 19
  3. 21
  4. 68
  5. 29
  6. 12
  7. 30
  8. 11
  9. 29
  10. 47
  11. 40
  12. 67
  13. 36
  14. 22
  15. 12
  16. 52
  17. 13
  18. 46
  19. 13
  20. 52
  21. 58
  22. 51
  23. 16
  24. 19
  25. 58
  26. 63
  27. 3
  28. 89
  29. 44
  30. 14
  31. 10
  32. 33
  33. 15
  34. 38
  35. 59
  36. 24
  37. 9
  38. 39
  39. 1
  40. 17

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