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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 316 · 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 3 times another. Their difference is 54. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 185. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 142 and their difference is 48. What is the larger number?
  9. 9.One number is 6 times another. Their difference is 120. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  12. 12.The sum of two numbers is 33 and their difference is 19. What is the larger number?
  13. 13.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  17. 17.The sum of two numbers is 39 and their difference is 11. What is the smaller number?
  18. 18.The sum of two numbers is 42 and their difference is 14. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  20. 20.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 6. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 20. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 36. What is the largest of them?
  27. 27.The sum of two numbers is 20 and their difference is 2. What is the smaller number?
  28. 28.The sum of two numbers is 86 and their difference is 16. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 120. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 29 and their difference is 11. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 202. What is the largest of them?
  33. 33.The sum of two numbers is 120 and their difference is 28. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 108. What is the smaller number?
  35. 35.The sum of two numbers is 97 and their difference is 43. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 7. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 69. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 10. What is the smaller number?

Answer key

  1. 27
  2. 47
  3. 67
  4. 8
  5. 37
  6. 13
  7. 68
  8. 95
  9. 24
  10. 18
  11. 17
  12. 26
  13. 13
  14. 28
  15. 42
  16. 32
  17. 14
  18. 14
  19. 28
  20. 15
  21. 27
  22. 3
  23. 38
  24. 4
  25. 33
  26. 13
  27. 9
  28. 51
  29. 26
  30. 78
  31. 20
  32. 52
  33. 46
  34. 27
  35. 70
  36. 7
  37. 24
  38. 47
  39. 46
  40. 5

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