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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 853 · 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 5 consecutive numbers is 215. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 95. What is the largest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 102 and their difference is 60. What is the smaller number?
  5. 5.The sum of two numbers is 52 and their difference is 12. What is the smaller number?
  6. 6.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  7. 7.The sum of two numbers is 90 and their difference is 54. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 56. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  12. 12.The sum of two numbers is 77 and their difference is 15. What is the larger number?
  13. 13.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 72. What is the smaller number?
  15. 15.The sum of two numbers is 161 and their difference is 15. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 10. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 10. What is the smaller number?
  20. 20.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?
  21. 21.The sum of two numbers is 121 and their difference is 5. What is the larger number?
  22. 22.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  23. 23.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?
  24. 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 33. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 150. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 17. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 72. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 24. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 42. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 33. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  35. 35.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 84. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of two numbers is 38 and their difference is 20. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 218. What is the largest of them?

Answer key

  1. 41
  2. 21
  3. 24
  4. 21
  5. 20
  6. 17
  7. 18
  8. 14
  9. 56
  10. 76
  11. 21
  12. 46
  13. 38
  14. 24
  15. 73
  16. 5
  17. 44
  18. 36
  19. 10
  20. 67
  21. 63
  22. 52
  23. 38
  24. 47
  25. 18
  26. 11
  27. 43
  28. 30
  29. 17
  30. 18
  31. 12
  32. 14
  33. 12
  34. 29
  35. 6
  36. 28
  37. 21
  38. 69
  39. 9
  40. 56

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