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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 695 · 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 6 times another. Their difference is 35. What is the smaller number?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 48. What is the smaller number?
  4. 4.The sum of two numbers is 45 and their difference is 1. What is the larger number?
  5. 5.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  7. 7.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?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 8. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 178. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  15. 15.The sum of two numbers is 181 and their difference is 9. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 110. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 48. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.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?
  21. 21.One number is 2 times another. Their difference is 31. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  23. 23.The sum of two numbers is 132 and their difference is 54. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 60. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 12. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  27. 27.The sum of two numbers is 27 and their difference is 19. What is the larger number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of two numbers is 17 and their difference is 7. What is the larger number?
  30. 30.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 9. What is the smaller number?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  36. 36.The sum of two numbers is 67 and their difference is 47. What is the smaller number?
  37. 37.The sum of two numbers is 32 and their difference is 14. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 66. What is the smaller number?

Answer key

  1. 7
  2. 78
  3. 24
  4. 23
  5. 60
  6. 34
  7. 89
  8. 18
  9. 8
  10. 46
  11. 5
  12. 21
  13. 10
  14. 34
  15. 86
  16. 49
  17. 22
  18. 17
  19. 58
  20. 35
  21. 31
  22. 35
  23. 93
  24. 14
  25. 6
  26. 18
  27. 23
  28. 36
  29. 12
  30. 47
  31. 9
  32. 79
  33. 46
  34. 20
  35. 11
  36. 10
  37. 9
  38. 36
  39. 79
  40. 33

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