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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 404 · 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 146 and their difference is 40. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  5. 5.The sum of two numbers is 166 and their difference is 24. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of two numbers is 45 and their difference is 39. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 35. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.One number is 4 times another. Their difference is 30. What is the smaller number?
  12. 12.The sum of two numbers is 32 and their difference is 10. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.One number is 6 times another. Their difference is 35. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 3. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  24. 24.One number is 3 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 66. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 13. What is the smaller number?
  28. 28.The sum of two numbers is 24 and their difference is 8. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  33. 33.The sum of two numbers is 88 and their difference is 16. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 10. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 34. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 30. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  39. 39.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 64. What is the smaller number?

Answer key

  1. 53
  2. 56
  3. 46
  4. 31
  5. 95
  6. 22
  7. 49
  8. 3
  9. 9
  10. 14
  11. 10
  12. 11
  13. 25
  14. 7
  15. 67
  16. 58
  17. 37
  18. 38
  19. 17
  20. 3
  21. 34
  22. 28
  23. 37
  24. 27
  25. 82
  26. 23
  27. 13
  28. 8
  29. 29
  30. 75
  31. 69
  32. 58
  33. 36
  34. 5
  35. 17
  36. 40
  37. 9
  38. 28
  39. 5
  40. 32

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