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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 934 · 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 31 and their difference is 21. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 57. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  4. 4.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  6. 6.The sum of two numbers is 64 and their difference is 8. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  8. 8.The sum of two numbers is 88 and their difference is 64. What is the larger number?
  9. 9.One number is 6 times another. Their difference is 160. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 78. What is the largest of them?
  13. 13.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 270. What is the largest of them?
  16. 16.The sum of two numbers is 31 and their difference is 25. What is the larger number?
  17. 17.The sum of two numbers is 60 and their difference is 40. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 7. What is the smaller number?
  22. 22.The sum of two numbers is 39 and their difference is 37. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  25. 25.The sum of two numbers is 66 and their difference is 46. What is the larger number?
  26. 26.The sum of two numbers is 32 and their difference is 18. What is the larger number?
  27. 27.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?
  28. 28.The sum of two numbers is 20 and their difference is 12. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 28. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 234. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 40. What is the smaller number?
  40. 40.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?

Answer key

  1. 5
  2. 19
  3. 29
  4. 32
  5. 36
  6. 36
  7. 33
  8. 76
  9. 32
  10. 47
  11. 42
  12. 27
  13. 10
  14. 78
  15. 56
  16. 28
  17. 10
  18. 27
  19. 89
  20. 84
  21. 7
  22. 38
  23. 59
  24. 15
  25. 56
  26. 25
  27. 36
  28. 4
  29. 8
  30. 7
  31. 9
  32. 47
  33. 32
  34. 25
  35. 60
  36. 39
  37. 48
  38. 39
  39. 40
  40. 57

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