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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 806 · 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 174. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 58. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  4. 4.The sum of two numbers is 38 and their difference is 2. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.One number is 4 times another. Their difference is 42. What is the smaller number?
  7. 7.The sum of two numbers is 85 and their difference is 67. What is the smaller number?
  8. 8.The sum of two numbers is 54 and their difference is 34. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 58. What is the largest of them?
  10. 10.The sum of two numbers is 19 and their difference is 5. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 48. What is the smaller number?
  12. 12.The sum of two numbers is 83 and their difference is 17. What is the larger number?
  13. 13.One number is 5 times another. Their difference is 140. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 185. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  20. 20.The sum of two numbers is 96 and their difference is 44. What is the larger number?
  21. 21.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 84. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 40. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 162. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 19. What is the smaller number?
  29. 29.The sum of two numbers is 28 and their difference is 10. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.One number is 4 times another. Their difference is 36. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 45. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  36. 36.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?
  37. 37.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  38. 38.The sum of two numbers is 157 and their difference is 31. What is the larger number?
  39. 39.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?

Answer key

  1. 60
  2. 29
  3. 40
  4. 18
  5. 37
  6. 14
  7. 9
  8. 44
  9. 16
  10. 7
  11. 24
  12. 50
  13. 35
  14. 49
  15. 25
  16. 79
  17. 23
  18. 39
  19. 54
  20. 70
  21. 75
  22. 42
  23. 28
  24. 20
  25. 14
  26. 52
  27. 55
  28. 19
  29. 9
  30. 34
  31. 12
  32. 9
  33. 27
  34. 85
  35. 19
  36. 69
  37. 19
  38. 94
  39. 45
  40. 23

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