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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 809 · 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 3 consecutive even numbers is 138. What is the smallest of them?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 56. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 28. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 48. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 300. What is the largest of them?
  10. 10.The sum of two numbers is 44 and their difference is 18. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  12. 12.The sum of two numbers is 161 and their difference is 29. What is the larger number?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 7. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 80. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 5. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  20. 20.The sum of two numbers is 18 and their difference is 10. What is the larger number?
  21. 21.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?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 166. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 36. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.One number is 5 times another. Their difference is 16. What is the smaller number?
  28. 28.The sum of two numbers is 17 and their difference is 13. What is the larger number?
  29. 29.The sum of two numbers is 74 and their difference is 26. What is the smaller number?
  30. 30.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?
  31. 31.One number is 4 times another. Their difference is 57. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  34. 34.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?
  35. 35.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?
  36. 36.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?
  37. 37.The sum of 3 consecutive numbers is 162. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 135. What is the smallest of them?

Answer key

  1. 44
  2. 69
  3. 28
  4. 63
  5. 7
  6. 42
  7. 20
  8. 17
  9. 62
  10. 13
  11. 26
  12. 95
  13. 14
  14. 7
  15. 20
  16. 20
  17. 24
  18. 5
  19. 36
  20. 14
  21. 58
  22. 19
  23. 51
  24. 43
  25. 36
  26. 46
  27. 4
  28. 15
  29. 24
  30. 67
  31. 19
  32. 23
  33. 22
  34. 27
  35. 25
  36. 16
  37. 55
  38. 41
  39. 6
  40. 44

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