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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 839 · 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 5 consecutive numbers is 185. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  5. 5.The sum of two numbers is 61 and their difference is 31. What is the larger number?
  6. 6.The sum of two numbers is 57 and their difference is 25. What is the larger number?
  7. 7.One number is 4 times another. Their difference is 15. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 250. What is the largest of them?
  10. 10.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?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.One number is 2 times another. Their difference is 32. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 5. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.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?
  20. 20.One number is 4 times another. Their difference is 21. What is the smaller number?
  21. 21.The sum of two numbers is 29 and their difference is 25. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  23. 23.The sum of two numbers is 23 and their difference is 3. What is the larger number?
  24. 24.The sum of two numbers is 81 and their difference is 59. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 84. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 30 and their difference is 14. What is the larger number?
  30. 30.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  31. 31.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 32. What is the smaller number?
  34. 34.The sum of two numbers is 27 and their difference is 3. What is the larger number?
  35. 35.One number is 3 times another. Their difference is 14. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 55. What is the smaller number?
  38. 38.The sum of two numbers is 24 and their difference is 14. What is the larger number?
  39. 39.One number is 6 times another. Their difference is 105. What is the smaller number?
  40. 40.The sum of two numbers is 67 and their difference is 1. What is the smaller number?

Answer key

  1. 39
  2. 18
  3. 56
  4. 26
  5. 46
  6. 41
  7. 5
  8. 27
  9. 52
  10. 69
  11. 47
  12. 15
  13. 32
  14. 5
  15. 16
  16. 32
  17. 59
  18. 35
  19. 19
  20. 7
  21. 2
  22. 25
  23. 13
  24. 11
  25. 28
  26. 39
  27. 61
  28. 57
  29. 22
  30. 13
  31. 71
  32. 9
  33. 16
  34. 15
  35. 7
  36. 49
  37. 11
  38. 19
  39. 21
  40. 33

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