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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 238 · 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 5 times another. Their difference is 76. What is the smaller number?
  2. 2.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?
  3. 3.One number is 5 times another. Their difference is 68. What is the smaller number?
  4. 4.The sum of two numbers is 55 and their difference is 13. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 141. 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 3 consecutive odd numbers is 141. What is the smallest of them?
  8. 8.The sum of two numbers is 23 and their difference is 7. What is the larger number?
  9. 9.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 30. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 35. What is the smaller number?
  15. 15.The sum of two numbers is 93 and their difference is 63. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 48. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 75. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 40. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 3 consecutive numbers is 135. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 30. What is the smaller number?
  26. 26.The sum of two numbers is 173 and their difference is 19. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 10. What is the smaller number?
  28. 28.The sum of two numbers is 31 and their difference is 1. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 90. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 60. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.One number is 5 times another. Their difference is 36. What is the smaller number?
  36. 36.The sum of two numbers is 54 and their difference is 34. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  38. 38.The sum of two numbers is 53 and their difference is 33. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 39. 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 45. What is the number?

Answer key

  1. 19
  2. 67
  3. 17
  4. 21
  5. 46
  6. 39
  7. 45
  8. 15
  9. 20
  10. 85
  11. 83
  12. 8
  13. 11
  14. 35
  15. 15
  16. 23
  17. 24
  18. 79
  19. 68
  20. 8
  21. 17
  22. 10
  23. 23
  24. 46
  25. 15
  26. 77
  27. 10
  28. 15
  29. 24
  30. 61
  31. 78
  32. 31
  33. 30
  34. 48
  35. 9
  36. 44
  37. 5
  38. 43
  39. 11
  40. 27

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