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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 113 · 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 11. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 5 consecutive numbers is 165. What is the largest of them?
  3. 3.The sum of two numbers is 33 and their difference is 23. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 22. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 140. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 50. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of two numbers is 127 and their difference is 53. What is the larger number?
  12. 12.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 4 consecutive numbers is 78. What is the largest of them?
  14. 14.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?
  15. 15.One number is 5 times another. Their difference is 40. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 76 and their difference is 2. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 24. What is the smaller number?
  22. 22.The sum of two numbers is 100 and their difference is 58. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 15. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  27. 27.The sum of two numbers is 27 and their difference is 25. What is the smaller number?
  28. 28.The sum of two numbers is 134 and their difference is 38. What is the larger number?
  29. 29.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  30. 30.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?
  31. 31.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?
  32. 32.One number is 6 times another. Their difference is 70. What is the smaller number?
  33. 33.The sum of two numbers is 77 and their difference is 11. What is the smaller number?
  34. 34.The sum of two numbers is 26 and their difference is 16. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 218. What is the largest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 42. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 84. What is the smallest of them?

Answer key

  1. 38
  2. 35
  3. 28
  4. 37
  5. 59
  6. 28
  7. 22
  8. 35
  9. 25
  10. 46
  11. 90
  12. 36
  13. 21
  14. 68
  15. 10
  16. 14
  17. 37
  18. 37
  19. 19
  20. 15
  21. 6
  22. 79
  23. 6
  24. 15
  25. 11
  26. 43
  27. 1
  28. 86
  29. 11
  30. 45
  31. 89
  32. 14
  33. 33
  34. 5
  35. 19
  36. 56
  37. 25
  38. 28
  39. 15
  40. 27

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