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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 79 · 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 63. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 80. What is the smaller number?
  4. 4.The sum of two numbers is 110 and their difference is 30. What is the smaller number?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of two numbers is 99 and their difference is 55. What is the larger number?
  8. 8.The sum of two numbers is 76 and their difference is 10. What is the larger number?
  9. 9.The sum of two numbers is 35 and their difference is 29. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  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.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 108. What is the largest of them?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 81. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  18. 18.The sum of two numbers is 127 and their difference is 17. What is the larger number?
  19. 19.The sum of two numbers is 25 and their difference is 21. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 152. What is the smaller number?
  21. 21.The sum of two numbers is 74 and their difference is 46. What is the smaller number?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of two numbers is 96 and their difference is 90. What is the smaller number?
  25. 25.The sum of two numbers is 143 and their difference is 27. What is the larger number?
  26. 26.One number is 6 times another. Their difference is 100. What is the smaller number?
  27. 27.The sum of two numbers is 138 and their difference is 56. What is the larger number?
  28. 28.One number is 3 times another. Their difference is 60. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  31. 31.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?
  32. 32.One number is 3 times another. Their difference is 12. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 3. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 129. What is the largest of them?
  35. 35.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?
  36. 36.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?
  37. 37.The sum of two numbers is 133 and their difference is 61. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  40. 40.The sum of two numbers is 139 and their difference is 35. What is the larger number?

Answer key

  1. 29
  2. 21
  3. 16
  4. 40
  5. 36
  6. 38
  7. 77
  8. 43
  9. 3
  10. 6
  11. 22
  12. 15
  13. 12
  14. 37
  15. 39
  16. 27
  17. 50
  18. 72
  19. 2
  20. 38
  21. 14
  22. 89
  23. 69
  24. 3
  25. 85
  26. 20
  27. 97
  28. 30
  29. 48
  30. 66
  31. 28
  32. 6
  33. 3
  34. 44
  35. 35
  36. 68
  37. 36
  38. 16
  39. 21
  40. 87

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