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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 954 · 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 two numbers is 65 and their difference is 41. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 68 and their difference is 46. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 100. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.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?
  10. 10.One number is 5 times another. Their difference is 160. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 54. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 66. What is the smaller number?
  18. 18.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?
  19. 19.The sum of two numbers is 91 and their difference is 83. What is the smaller number?
  20. 20.The sum of two numbers is 97 and their difference is 19. What is the larger number?
  21. 21.The sum of two numbers is 56 and their difference is 18. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 145. What is the largest of them?
  23. 23.The sum of two numbers is 52 and their difference is 40. What is the larger number?
  24. 24.One number is 6 times another. Their difference is 55. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  26. 26.The sum of two numbers is 70 and their difference is 46. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 45. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 13. What is the smaller number?
  32. 32.The sum of two numbers is 153 and their difference is 21. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  35. 35.The sum of two numbers is 137 and their difference is 31. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 38. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 135. What is the smaller number?

Answer key

  1. 12
  2. 89
  3. 11
  4. 20
  5. 52
  6. 4
  7. 17
  8. 68
  9. 14
  10. 40
  11. 19
  12. 72
  13. 60
  14. 13
  15. 49
  16. 15
  17. 33
  18. 78
  19. 4
  20. 58
  21. 19
  22. 31
  23. 46
  24. 11
  25. 52
  26. 12
  27. 58
  28. 19
  29. 50
  30. 9
  31. 13
  32. 66
  33. 15
  34. 81
  35. 53
  36. 40
  37. 51
  38. 59
  39. 38
  40. 27

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