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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 460 · 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 78 and their difference is 28. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  3. 3.The sum of two numbers is 46 and their difference is 32. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 118. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 155. What is the smaller number?
  6. 6.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?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  10. 10.The sum of two numbers is 23 and their difference is 13. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 17. What is the smaller number?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 26. What is the smaller number?
  14. 14.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?
  15. 15.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?
  16. 16.One number is 3 times another. Their difference is 72. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of two numbers is 25 and their difference is 17. What is the larger number?
  19. 19.One number is 5 times another. Their difference is 28. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 68. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  22. 22.The sum of two numbers is 31 and their difference is 11. What is the smaller number?
  23. 23.The sum of two numbers is 77 and their difference is 17. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 44. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  27. 27.One number is 5 times another. Their difference is 108. What is the smaller number?
  28. 28.The sum of two numbers is 65 and their difference is 43. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  30. 30.The sum of two numbers is 62 and their difference is 6. What is the smaller number?
  31. 31.The sum of two numbers is 56 and their difference is 44. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 90. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 13. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  37. 37.The sum of two numbers is 84 and their difference is 72. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 230. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 50. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 168. What is the smallest of them?

Answer key

  1. 53
  2. 29
  3. 39
  4. 31
  5. 31
  6. 78
  7. 89
  8. 38
  9. 28
  10. 5
  11. 17
  12. 68
  13. 26
  14. 67
  15. 45
  16. 36
  17. 79
  18. 21
  19. 7
  20. 17
  21. 19
  22. 10
  23. 30
  24. 11
  25. 7
  26. 53
  27. 27
  28. 11
  29. 30
  30. 28
  31. 6
  32. 31
  33. 15
  34. 20
  35. 13
  36. 75
  37. 6
  38. 48
  39. 10
  40. 55

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