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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 888 · 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 38 and their difference is 24. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The sum of two numbers is 59 and their difference is 5. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 105. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 5. What is the smaller number?
  10. 10.The sum of two numbers is 49 and their difference is 3. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 44. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  13. 13.One number is 6 times another. Their difference is 180. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 300. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 115. What is the largest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  20. 20.The sum of two numbers is 30 and their difference is 20. What is the smaller number?
  21. 21.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?
  22. 22.One number is 4 times another. Their difference is 66. What is the smaller number?
  23. 23.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?
  24. 24.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?
  25. 25.One number is 4 times another. Their difference is 18. What is the smaller number?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of two numbers is 32 and their difference is 2. What is the larger number?
  29. 29.The sum of two numbers is 50 and their difference is 44. What is the larger number?
  30. 30.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  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 sum of 4 consecutive numbers is 102. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 34. What is the smaller number?
  36. 36.The sum of two numbers is 185 and their difference is 9. What is the smaller number?
  37. 37.The sum of two numbers is 37 and their difference is 1. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 35. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 135. What is the smaller number?
  40. 40.The sum of two numbers is 19 and their difference is 9. What is the smaller number?

Answer key

  1. 7
  2. 25
  3. 13
  4. 27
  5. 70
  6. 23
  7. 46
  8. 11
  9. 5
  10. 23
  11. 11
  12. 19
  13. 36
  14. 59
  15. 62
  16. 25
  17. 68
  18. 35
  19. 36
  20. 5
  21. 89
  22. 22
  23. 36
  24. 49
  25. 6
  26. 28
  27. 23
  28. 17
  29. 47
  30. 59
  31. 27
  32. 79
  33. 24
  34. 74
  35. 17
  36. 88
  37. 18
  38. 7
  39. 27
  40. 5

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