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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 830 · 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 140. What is the smaller number?
  2. 2.The sum of two numbers is 75 and their difference is 21. What is the larger number?
  3. 3.One number is 3 times another. Their difference is 22. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 29. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.One number is 3 times another. Their difference is 58. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 5 consecutive numbers is 50. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 77 and their difference is 5. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 96. What is the largest of them?
  12. 12.The sum of two numbers is 48 and their difference is 20. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 39. What is the smaller number?
  16. 16.The sum of two numbers is 54 and their difference is 4. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 87. What is the largest of them?
  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 sum of 4 consecutive odd numbers is 152. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 25. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of two numbers is 43 and their difference is 5. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 171. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 20. What is the smaller number?
  36. 36.The sum of two numbers is 77 and their difference is 17. What is the smaller number?
  37. 37.The sum of two numbers is 57 and their difference is 7. What is the smaller number?
  38. 38.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?
  39. 39.One number is 6 times another. Their difference is 180. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 174. What is the smallest of them?

Answer key

  1. 28
  2. 48
  3. 11
  4. 29
  5. 57
  6. 29
  7. 36
  8. 12
  9. 58
  10. 36
  11. 33
  12. 14
  13. 78
  14. 69
  15. 39
  16. 25
  17. 61
  18. 46
  19. 30
  20. 48
  21. 41
  22. 25
  23. 20
  24. 24
  25. 24
  26. 58
  27. 18
  28. 25
  29. 19
  30. 17
  31. 67
  32. 37
  33. 56
  34. 70
  35. 20
  36. 30
  37. 25
  38. 35
  39. 36
  40. 42

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