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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 883 · 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.One number is 4 times another. Their difference is 9. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 75. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 54. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  5. 5.The sum of two numbers is 75 and their difference is 15. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 72. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 16. What is the smaller number?
  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.One number is 2 times another. Their difference is 4. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 95. What is the smaller number?
  13. 13.The sum of two numbers is 95 and their difference is 31. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 165. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 62 and their difference is 24. What is the larger number?
  20. 20.One number is 3 times another. Their difference is 14. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 85. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  25. 25.One number is 5 times another. Their difference is 92. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 32. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 107 and their difference is 43. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  30. 30.The sum of two numbers is 71 and their difference is 19. What is the smaller number?
  31. 31.The sum of two numbers is 125 and their difference is 47. What is the smaller number?
  32. 32.The sum of two numbers is 52 and their difference is 48. What is the smaller number?
  33. 33.The sum of two numbers is 67 and their difference is 23. What is the smaller number?
  34. 34.The sum of two numbers is 53 and their difference is 33. What is the larger number?
  35. 35.The sum of two numbers is 103 and their difference is 25. What is the larger number?
  36. 36.The sum of two numbers is 97 and their difference is 45. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 15. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?

Answer key

  1. 3
  2. 17
  3. 27
  4. 14
  5. 30
  6. 35
  7. 36
  8. 36
  9. 16
  10. 78
  11. 4
  12. 19
  13. 32
  14. 34
  15. 6
  16. 33
  17. 60
  18. 24
  19. 43
  20. 7
  21. 8
  22. 26
  23. 17
  24. 11
  25. 23
  26. 8
  27. 69
  28. 32
  29. 11
  30. 26
  31. 39
  32. 2
  33. 22
  34. 43
  35. 64
  36. 26
  37. 66
  38. 15
  39. 54
  40. 26

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