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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 172 · 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 17. What is the smaller number?
  2. 2.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?
  3. 3.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?
  4. 4.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?
  5. 5.One number is 6 times another. Their difference is 130. What is the smaller number?
  6. 6.The sum of two numbers is 98 and their difference is 24. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 74. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  13. 13.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 63. What is the largest of them?
  15. 15.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?
  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 sum of two numbers is 27 and their difference is 1. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 220. What is the largest of them?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 28. What is the smaller number?
  21. 21.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?
  22. 22.One number is 3 times another. Their difference is 24. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 81. What is the largest of them?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 70. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of two numbers is 105 and their difference is 1. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 180. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 85. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  34. 34.The sum of two numbers is 83 and their difference is 25. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  36. 36.The sum of two numbers is 125 and their difference is 49. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 39. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 36. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?

Answer key

  1. 17
  2. 39
  3. 56
  4. 78
  5. 26
  6. 37
  7. 20
  8. 7
  9. 64
  10. 25
  11. 41
  12. 79
  13. 40
  14. 22
  15. 17
  16. 79
  17. 13
  18. 46
  19. 47
  20. 28
  21. 19
  22. 12
  23. 28
  24. 69
  25. 14
  26. 34
  27. 19
  28. 26
  29. 52
  30. 36
  31. 36
  32. 17
  33. 49
  34. 54
  35. 27
  36. 38
  37. 39
  38. 31
  39. 36
  40. 73

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