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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 675 · 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 3 consecutive numbers is 117. What is the smallest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of two numbers is 20 and their difference is 12. What is the larger number?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  9. 9.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 72. What is the smaller number?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 24. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 8. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  18. 18.The sum of two numbers is 57 and their difference is 11. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 95. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  21. 21.The sum of two numbers is 43 and their difference is 19. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 170. What is the smaller number?
  24. 24.The sum of two numbers is 102 and their difference is 58. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 255. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 56. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 154. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  29. 29.The sum of two numbers is 81 and their difference is 7. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 14. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 30. What is the smaller number?
  33. 33.The sum of two numbers is 84 and their difference is 42. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 144. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  39. 39.The sum of two numbers is 12 and their difference is 8. What is the larger number?
  40. 40.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?

Answer key

  1. 38
  2. 15
  3. 24
  4. 13
  5. 16
  6. 34
  7. 12
  8. 25
  9. 9
  10. 36
  11. 89
  12. 46
  13. 57
  14. 24
  15. 24
  16. 8
  17. 54
  18. 23
  19. 21
  20. 29
  21. 12
  22. 77
  23. 34
  24. 22
  25. 53
  26. 14
  27. 40
  28. 13
  29. 44
  30. 40
  31. 14
  32. 30
  33. 21
  34. 49
  35. 52
  36. 22
  37. 21
  38. 21
  39. 10
  40. 18

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