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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 850 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 6. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 108. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  9. 9.One number is 5 times another. Their difference is 152. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 57. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 64. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  15. 15.The sum of two numbers is 167 and their difference is 29. What is the larger number?
  16. 16.The sum of 5 consecutive numbers is 175. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 86. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 150. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 190. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 144. What is the smaller number?
  23. 23.The sum of two numbers is 93 and their difference is 77. What is the larger number?
  24. 24.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 66. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  28. 28.The sum of two numbers is 33 and their difference is 5. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 30. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.One number is 5 times another. Their difference is 80. What is the smaller number?
  35. 35.The sum of two numbers is 164 and their difference is 8. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 90. What is the smaller number?
  37. 37.The sum of two numbers is 135 and their difference is 49. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 206. What is the largest of them?
  40. 40.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?

Answer key

  1. 89
  2. 69
  3. 3
  4. 27
  5. 30
  6. 80
  7. 37
  8. 14
  9. 38
  10. 51
  11. 20
  12. 16
  13. 17
  14. 21
  15. 98
  16. 37
  17. 23
  18. 29
  19. 61
  20. 51
  21. 40
  22. 36
  23. 85
  24. 55
  25. 18
  26. 42
  27. 19
  28. 19
  29. 9
  30. 16
  31. 35
  32. 14
  33. 34
  34. 20
  35. 78
  36. 18
  37. 92
  38. 6
  39. 53
  40. 38

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