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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 465 · 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 5. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 72. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 54. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 95. What is the largest of them?
  7. 7.The sum of two numbers is 58 and their difference is 46. What is the smaller number?
  8. 8.The sum of two numbers is 50 and their difference is 24. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 45. What is the largest of them?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 33. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 35. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 180. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 155. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  17. 17.The sum of two numbers is 60 and their difference is 22. What is the smaller number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 81. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 16. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  24. 24.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?
  25. 25.One number is 4 times another. Their difference is 90. What is the smaller number?
  26. 26.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?
  27. 27.One number is 4 times another. Their difference is 117. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 190. What is the smaller number?
  29. 29.The sum of two numbers is 26 and their difference is 22. What is the smaller number?
  30. 30.The sum of two numbers is 39 and their difference is 1. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 70. What is the largest of them?
  32. 32.The sum of two numbers is 95 and their difference is 67. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  37. 37.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?
  38. 38.One number is 4 times another. Their difference is 45. What is the smaller number?
  39. 39.The sum of two numbers is 71 and their difference is 23. What is the smaller number?
  40. 40.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?

Answer key

  1. 14
  2. 42
  3. 36
  4. 54
  5. 19
  6. 21
  7. 6
  8. 13
  9. 16
  10. 89
  11. 33
  12. 35
  13. 38
  14. 48
  15. 33
  16. 9
  17. 19
  18. 68
  19. 27
  20. 26
  21. 12
  22. 16
  23. 14
  24. 27
  25. 30
  26. 25
  27. 39
  28. 38
  29. 2
  30. 20
  31. 16
  32. 14
  33. 54
  34. 32
  35. 13
  36. 40
  37. 78
  38. 15
  39. 24
  40. 34

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