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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 827 · 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 4 consecutive numbers is 222. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 60. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 85. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 180. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 155. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 29 and their difference is 25. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 39. What is the smaller number?
  12. 12.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?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  14. 14.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of two numbers is 177 and their difference is 7. What is the larger number?
  17. 17.The sum of two numbers is 54 and their difference is 22. What is the larger number?
  18. 18.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 42. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 190. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  28. 28.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?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 174. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  38. 38.The sum of two numbers is 132 and their difference is 32. What is the larger number?
  39. 39.One number is 6 times another. Their difference is 165. What is the smaller number?
  40. 40.The sum of two numbers is 19 and their difference is 13. What is the smaller number?

Answer key

  1. 57
  2. 30
  3. 68
  4. 19
  5. 36
  6. 18
  7. 7
  8. 33
  9. 57
  10. 2
  11. 13
  12. 25
  13. 18
  14. 17
  15. 23
  16. 92
  17. 38
  18. 16
  19. 13
  20. 14
  21. 69
  22. 41
  23. 15
  24. 79
  25. 31
  26. 38
  27. 75
  28. 56
  29. 69
  30. 13
  31. 13
  32. 7
  33. 53
  34. 19
  35. 40
  36. 59
  37. 19
  38. 82
  39. 33
  40. 3

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