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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 408 · 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 100 and their difference is 48. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.One number is 4 times another. Their difference is 42. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  6. 6.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?
  7. 7.One number is 4 times another. Their difference is 87. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 159. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 30 and their difference is 18. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 45. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 24. What is the smaller number?
  15. 15.The sum of two numbers is 30 and their difference is 6. What is the smaller number?
  16. 16.The sum of two numbers is 18 and their difference is 4. What is the larger number?
  17. 17.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 38. What is the largest of them?
  19. 19.The sum of two numbers is 82 and their difference is 60. What is the smaller number?
  20. 20.The sum of two numbers is 40 and their difference is 2. What is the smaller number?
  21. 21.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?
  22. 22.One number is 6 times another. Their difference is 75. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 30. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 225. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  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 3 consecutive even numbers is 96. What is the smallest of them?
  29. 29.The sum of two numbers is 95 and their difference is 63. What is the smaller number?
  30. 30.The sum of two numbers is 62 and their difference is 18. What is the smaller number?
  31. 31.The sum of two numbers is 19 and their difference is 11. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 40. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 70. What is the smaller number?
  38. 38.The sum of two numbers is 53 and their difference is 9. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  40. 40.The sum of two numbers is 57 and their difference is 23. What is the smaller number?

Answer key

  1. 26
  2. 51
  3. 68
  4. 14
  5. 63
  6. 57
  7. 29
  8. 54
  9. 38
  10. 24
  11. 16
  12. 11
  13. 45
  14. 24
  15. 12
  16. 11
  17. 30
  18. 11
  19. 11
  20. 19
  21. 78
  22. 15
  23. 9
  24. 47
  25. 44
  26. 69
  27. 69
  28. 30
  29. 16
  30. 22
  31. 15
  32. 8
  33. 35
  34. 49
  35. 40
  36. 43
  37. 14
  38. 22
  39. 13
  40. 17

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