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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 149 · 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 6 times another. Their difference is 40. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 135. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 148. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 35. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  7. 7.The sum of two numbers is 41 and their difference is 7. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  10. 10.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  13. 13.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?
  14. 14.One number is 2 times another. Their difference is 14. What is the smaller number?
  15. 15.The sum of two numbers is 95 and their difference is 35. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  19. 19.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?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 48. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 36. What is the smaller number?
  23. 23.The sum of two numbers is 54 and their difference is 38. What is the larger number?
  24. 24.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 60. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  30. 30.The sum of two numbers is 26 and their difference is 8. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  33. 33.The sum of two numbers is 15 and their difference is 9. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 108. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive numbers is 159. What is the largest of them?
  38. 38.One number is 2 times another. Their difference is 11. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 9. What is the smaller number?

Answer key

  1. 8
  2. 27
  3. 37
  4. 7
  5. 33
  6. 41
  7. 17
  8. 46
  9. 57
  10. 18
  11. 23
  12. 65
  13. 69
  14. 14
  15. 30
  16. 14
  17. 49
  18. 65
  19. 89
  20. 29
  21. 24
  22. 12
  23. 46
  24. 6
  25. 12
  26. 15
  27. 51
  28. 42
  29. 14
  30. 9
  31. 17
  32. 35
  33. 12
  34. 37
  35. 19
  36. 13
  37. 54
  38. 11
  39. 34
  40. 9

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