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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 221 · 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 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?
  2. 2.One number is 5 times another. Their difference is 32. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  4. 4.One number is 4 times another. Their difference is 18. What is the smaller number?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.The sum of two numbers is 117 and their difference is 45. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 126. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 38. What is the largest of them?
  16. 16.The sum of two numbers is 163 and their difference is 17. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 81. What is the largest of them?
  18. 18.The sum of two numbers is 38 and their difference is 34. What is the larger number?
  19. 19.The sum of two numbers is 107 and their difference is 63. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.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?
  22. 22.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 190. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 134. What is the largest of them?
  28. 28.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?
  29. 29.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?
  30. 30.One number is 5 times another. Their difference is 36. What is the smaller number?
  31. 31.The sum of two numbers is 92 and their difference is 76. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 69. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 35. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 12. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  36. 36.One number is 4 times another. Their difference is 24. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 45. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 110. What is the largest of them?
  39. 39.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?

Answer key

  1. 28
  2. 8
  3. 38
  4. 6
  5. 89
  6. 58
  7. 37
  8. 74
  9. 55
  10. 27
  11. 81
  12. 33
  13. 41
  14. 38
  15. 11
  16. 73
  17. 28
  18. 36
  19. 22
  20. 48
  21. 79
  22. 50
  23. 72
  24. 28
  25. 38
  26. 43
  27. 35
  28. 34
  29. 13
  30. 9
  31. 84
  32. 24
  33. 9
  34. 6
  35. 29
  36. 8
  37. 16
  38. 24
  39. 12
  40. 37

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