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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 584 · 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 30 and their difference is 8. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 183. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 42. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 54. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The sum of 5 consecutive numbers is 180. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 170. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 26. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 162. What is the largest of them?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 34. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 174. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 5 times another. Their difference is 124. What is the smaller number?
  24. 24.The sum of two numbers is 45 and their difference is 33. What is the larger number?
  25. 25.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  26. 26.One number is 6 times another. Their difference is 65. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 111. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  29. 29.One number is 5 times another. Their difference is 24. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 102. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 105. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  34. 34.The sum of two numbers is 33 and their difference is 19. What is the smaller number?
  35. 35.The sum of two numbers is 44 and their difference is 30. What is the smaller number?
  36. 36.The sum of two numbers is 142 and their difference is 34. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  38. 38.The sum of two numbers is 27 and their difference is 1. What is the larger number?
  39. 39.One number is 5 times another. Their difference is 96. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 155. What is the smaller number?

Answer key

  1. 11
  2. 13
  3. 14
  4. 72
  5. 62
  6. 21
  7. 19
  8. 25
  9. 38
  10. 34
  11. 71
  12. 13
  13. 69
  14. 42
  15. 68
  16. 58
  17. 17
  18. 47
  19. 59
  20. 15
  21. 89
  22. 78
  23. 31
  24. 39
  25. 9
  26. 13
  27. 37
  28. 18
  29. 6
  30. 27
  31. 21
  32. 18
  33. 41
  34. 7
  35. 7
  36. 54
  37. 26
  38. 14
  39. 24
  40. 31

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