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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 305 · 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 8. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.The sum of two numbers is 58 and their difference is 12. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 29. What is the smaller number?
  7. 7.The sum of two numbers is 105 and their difference is 55. What is the larger number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.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?
  12. 12.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 9. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 16. What is the smaller number?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 60. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 52. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  19. 19.The sum of two numbers is 47 and their difference is 25. What is the larger number?
  20. 20.The sum of two numbers is 144 and their difference is 44. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  23. 23.The sum of two numbers is 92 and their difference is 34. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.One number is 3 times another. Their difference is 36. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 16. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  32. 32.The sum of two numbers is 109 and their difference is 49. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of two numbers is 75 and their difference is 13. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 14. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  40. 40.One number is 6 times another. Their difference is 25. What is the smaller number?

Answer key

  1. 17
  2. 23
  3. 36
  4. 19
  5. 8
  6. 29
  7. 80
  8. 57
  9. 55
  10. 78
  11. 38
  12. 64
  13. 3
  14. 4
  15. 29
  16. 20
  17. 26
  18. 66
  19. 36
  20. 50
  21. 24
  22. 42
  23. 29
  24. 14
  25. 79
  26. 18
  27. 16
  28. 45
  29. 24
  30. 49
  31. 35
  32. 30
  33. 89
  34. 67
  35. 69
  36. 44
  37. 14
  38. 47
  39. 15
  40. 5

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