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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 317 · 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 11. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of two numbers is 44 and their difference is 28. What is the larger number?
  3. 3.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  9. 9.The sum of two numbers is 45 and their difference is 5. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 39. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 46. What is the largest of them?
  12. 12.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  14. 14.The sum of two numbers is 93 and their difference is 27. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 105. What is the largest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 48. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  22. 22.The sum of two numbers is 56 and their difference is 46. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 102. What is the largest of them?
  25. 25.The sum of two numbers is 66 and their difference is 36. What is the larger number?
  26. 26.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 31. What is the smaller number?
  28. 28.The sum of two numbers is 44 and their difference is 12. What is the smaller number?
  29. 29.The sum of two numbers is 39 and their difference is 29. What is the larger number?
  30. 30.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?
  31. 31.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 3. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 200. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  38. 38.One number is 5 times another. Their difference is 140. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  40. 40.The sum of two numbers is 47 and their difference is 5. What is the larger number?

Answer key

  1. 38
  2. 36
  3. 44
  4. 16
  5. 6
  6. 62
  7. 33
  8. 39
  9. 25
  10. 14
  11. 13
  12. 22
  13. 43
  14. 33
  15. 78
  16. 23
  17. 49
  18. 67
  19. 59
  20. 16
  21. 50
  22. 5
  23. 63
  24. 27
  25. 51
  26. 50
  27. 31
  28. 16
  29. 34
  30. 58
  31. 46
  32. 61
  33. 3
  34. 18
  35. 54
  36. 42
  37. 34
  38. 35
  39. 11
  40. 26

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