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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 915 · 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 two numbers is 39 and their difference is 33. What is the larger number?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The sum of two numbers is 92 and their difference is 32. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 171. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 4. What is the smaller number?
  10. 10.The sum of two numbers is 55 and their difference is 27. What is the larger number?
  11. 11.The sum of 4 consecutive numbers is 54. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 15. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 63. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 52. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 7. What is the smaller number?
  17. 17.The sum of two numbers is 108 and their difference is 20. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 72. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 75. What is the largest of them?
  21. 21.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?
  22. 22.One number is 2 times another. Their difference is 12. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 72. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 46. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 36. What is the largest of them?
  26. 26.One number is 2 times another. Their difference is 29. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 62 and their difference is 14. What is the larger number?
  29. 29.One number is 6 times another. Their difference is 135. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 9. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 40. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 202. What is the largest of them?

Answer key

  1. 36
  2. 67
  3. 30
  4. 23
  5. 17
  6. 29
  7. 8
  8. 58
  9. 4
  10. 41
  11. 15
  12. 15
  13. 21
  14. 45
  15. 13
  16. 7
  17. 44
  18. 24
  19. 13
  20. 17
  21. 45
  22. 12
  23. 36
  24. 13
  25. 13
  26. 29
  27. 18
  28. 38
  29. 27
  30. 89
  31. 13
  32. 9
  33. 24
  34. 48
  35. 45
  36. 61
  37. 21
  38. 81
  39. 40
  40. 52

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