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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 882 · 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 4 times another. Their difference is 120. What is the smaller number?
  2. 2.The sum of two numbers is 127 and their difference is 15. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 60 and their difference is 10. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 51. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 6. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  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 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?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  13. 13.The sum of two numbers is 79 and their difference is 57. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 198. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 40. What is the smaller number?
  17. 17.The sum of two numbers is 139 and their difference is 3. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of 3 consecutive numbers is 168. What is the largest of them?
  21. 21.The sum of two numbers is 35 and their difference is 13. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 185. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 165. What is the largest of them?
  28. 28.The sum of two numbers is 80 and their difference is 54. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 21. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 4 consecutive numbers is 50. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 54. What is the smaller number?
  36. 36.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?
  37. 37.One number is 3 times another. Their difference is 46. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.One number is 5 times another. Their difference is 140. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 170. What is the smallest of them?

Answer key

  1. 40
  2. 56
  3. 49
  4. 36
  5. 35
  6. 18
  7. 6
  8. 12
  9. 89
  10. 57
  11. 69
  12. 26
  13. 68
  14. 50
  15. 51
  16. 10
  17. 68
  18. 16
  19. 46
  20. 57
  21. 11
  22. 17
  23. 39
  24. 35
  25. 47
  26. 22
  27. 56
  28. 13
  29. 21
  30. 39
  31. 33
  32. 15
  33. 14
  34. 23
  35. 27
  36. 59
  37. 23
  38. 56
  39. 35
  40. 32

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