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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 804 · 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 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?
  2. 2.The sum of two numbers is 116 and their difference is 16. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 68. What is the smaller number?
  9. 9.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of two numbers is 78 and their difference is 44. What is the larger number?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 34. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 36. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  22. 22.The sum of two numbers is 25 and their difference is 9. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 155. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 85. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 156. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 30. What is the largest of them?
  28. 28.The sum of two numbers is 17 and their difference is 3. What is the smaller number?
  29. 29.The sum of two numbers is 140 and their difference is 34. What is the smaller number?
  30. 30.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?
  31. 31.One number is 3 times another. Their difference is 54. What is the smaller number?
  32. 32.The sum of two numbers is 112 and their difference is 42. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 206. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 66. What is the largest of them?
  36. 36.The sum of two numbers is 121 and their difference is 19. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  40. 40.The sum of two numbers is 115 and their difference is 69. What is the smaller number?

Answer key

  1. 28
  2. 50
  3. 47
  4. 76
  5. 53
  6. 52
  7. 23
  8. 34
  9. 4
  10. 89
  11. 15
  12. 14
  13. 78
  14. 61
  15. 45
  16. 49
  17. 33
  18. 7
  19. 34
  20. 18
  21. 27
  22. 8
  23. 31
  24. 50
  25. 17
  26. 39
  27. 11
  28. 7
  29. 53
  30. 37
  31. 27
  32. 77
  33. 31
  34. 53
  35. 18
  36. 70
  37. 38
  38. 68
  39. 21
  40. 23

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