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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 160 · 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 2 times another. Their difference is 27. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 16. What is the smaller number?
  3. 3.The sum of two numbers is 89 and their difference is 21. What is the larger number?
  4. 4.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?
  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.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 56. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 88. What is the smaller number?
  9. 9.The sum of two numbers is 64 and their difference is 58. What is the larger number?
  10. 10.The sum of two numbers is 55 and their difference is 27. What is the larger number?
  11. 11.The sum of two numbers is 160 and their difference is 18. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 60. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 190. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 21. What is the smaller number?
  15. 15.The sum of two numbers is 89 and their difference is 3. What is the smaller number?
  16. 16.The sum of two numbers is 85 and their difference is 63. What is the larger number?
  17. 17.One number is 5 times another. Their difference is 12. What is the smaller number?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 25. What is the smaller number?
  20. 20.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?
  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 sum of 4 consecutive numbers is 142. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  24. 24.The sum of two numbers is 173 and their difference is 9. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 78. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  29. 29.The sum of two numbers is 77 and their difference is 33. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  31. 31.The sum of two numbers is 81 and their difference is 13. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 150. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 8. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 45. 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. 27
  2. 16
  3. 55
  4. 58
  5. 37
  6. 51
  7. 14
  8. 22
  9. 61
  10. 41
  11. 71
  12. 15
  13. 49
  14. 21
  15. 43
  16. 74
  17. 3
  18. 14
  19. 5
  20. 19
  21. 89
  22. 34
  23. 18
  24. 82
  25. 27
  26. 46
  27. 40
  28. 60
  29. 22
  30. 41
  31. 47
  32. 59
  33. 39
  34. 4
  35. 43
  36. 64
  37. 55
  38. 14
  39. 9
  40. 57

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