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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 368 · 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 2 times another. Their difference is 18. What is the smaller number?
  2. 2.The sum of two numbers is 56 and their difference is 10. What is the larger number?
  3. 3.One number is 5 times another. Their difference is 160. What is the smaller number?
  4. 4.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?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  7. 7.The sum of two numbers is 69 and their difference is 55. What is the larger number?
  8. 8.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 3 consecutive numbers is 141. What is the largest of them?
  14. 14.The sum of two numbers is 65 and their difference is 37. What is the larger number?
  15. 15.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?
  16. 16.The sum of two numbers is 66 and their difference is 18. What is the larger number?
  17. 17.The sum of two numbers is 141 and their difference is 55. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  19. 19.The sum of two numbers is 108 and their difference is 2. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  21. 21.The sum of two numbers is 34 and their difference is 12. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 48. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.One number is 6 times another. Their difference is 40. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 12. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  28. 28.The sum of two numbers is 33 and their difference is 7. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  34. 34.The sum of two numbers is 87 and their difference is 41. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  36. 36.The sum of two numbers is 94 and their difference is 70. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 28. 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 9. What is the number?
  39. 39.The sum of two numbers is 137 and their difference is 27. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 102. What is the largest of them?

Answer key

  1. 18
  2. 33
  3. 40
  4. 19
  5. 18
  6. 81
  7. 62
  8. 20
  9. 49
  10. 39
  11. 32
  12. 47
  13. 48
  14. 51
  15. 15
  16. 42
  17. 43
  18. 17
  19. 53
  20. 26
  21. 23
  22. 29
  23. 24
  24. 56
  25. 8
  26. 4
  27. 57
  28. 13
  29. 14
  30. 20
  31. 40
  32. 25
  33. 14
  34. 23
  35. 10
  36. 12
  37. 14
  38. 78
  39. 82
  40. 36

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