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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 488 · 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 5 times another. Their difference is 136. What is the smaller number?
  2. 2.The sum of two numbers is 168 and their difference is 14. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 210. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 150. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  11. 11.One number is 6 times another. Their difference is 150. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 132. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of two numbers is 46 and their difference is 12. What is the larger number?
  15. 15.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  16. 16.The sum of two numbers is 77 and their difference is 1. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 22. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 9. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 150. What is the largest of them?
  23. 23.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?
  24. 24.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  26. 26.The sum of two numbers is 90 and their difference is 34. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  28. 28.One number is 3 times another. Their difference is 72. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 242. What is the largest of them?
  31. 31.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?
  32. 32.One number is 5 times another. Their difference is 120. What is the smaller number?
  33. 33.The sum of two numbers is 26 and their difference is 14. What is the larger number?
  34. 34.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 30. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  37. 37.The sum of two numbers is 127 and their difference is 29. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  40. 40.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?

Answer key

  1. 34
  2. 77
  3. 44
  4. 33
  5. 48
  6. 35
  7. 89
  8. 26
  9. 39
  10. 84
  11. 30
  12. 45
  13. 12
  14. 29
  15. 76
  16. 39
  17. 22
  18. 9
  19. 49
  20. 13
  21. 26
  22. 51
  23. 35
  24. 79
  25. 20
  26. 62
  27. 41
  28. 36
  29. 73
  30. 62
  31. 27
  32. 30
  33. 20
  34. 20
  35. 9
  36. 44
  37. 78
  38. 34
  39. 51
  40. 36

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