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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 815 · 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 4 consecutive odd numbers is 232. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 36. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 144. What is the smaller number?
  4. 4.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?
  5. 5.One number is 2 times another. Their difference is 31. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 21. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 186 and their difference is 8. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  10. 10.The sum of two numbers is 124 and their difference is 32. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  13. 13.The sum of two numbers is 40 and their difference is 30. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 39. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 155. What is the largest of them?
  16. 16.The sum of two numbers is 129 and their difference is 21. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 81. What is the largest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 41 and their difference is 27. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  21. 21.The sum of two numbers is 18 and their difference is 4. What is the larger number?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 78. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  25. 25.The sum of two numbers is 92 and their difference is 38. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 54. What is the smaller number?
  27. 27.The sum of two numbers is 59 and their difference is 51. What is the larger number?
  28. 28.The sum of two numbers is 57 and their difference is 51. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 35. What is the smaller number?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  36. 36.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?
  37. 37.One number is 2 times another. Their difference is 5. What is the smaller number?
  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 4 consecutive odd numbers is 88. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 54. What is the smallest of them?

Answer key

  1. 61
  2. 18
  3. 36
  4. 58
  5. 31
  6. 21
  7. 57
  8. 89
  9. 27
  10. 46
  11. 78
  12. 12
  13. 5
  14. 39
  15. 33
  16. 54
  17. 28
  18. 39
  19. 34
  20. 40
  21. 11
  22. 25
  23. 27
  24. 11
  25. 27
  26. 27
  27. 55
  28. 3
  29. 35
  30. 24
  31. 18
  32. 34
  33. 34
  34. 14
  35. 64
  36. 29
  37. 5
  38. 69
  39. 25
  40. 16

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