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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 770 · 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 1. What is the smaller number?
  2. 2.The sum of two numbers is 149 and their difference is 19. What is the larger number?
  3. 3.One number is 3 times another. Their difference is 46. What is the smaller number?
  4. 4.One number is 6 times another. Their difference is 115. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 183. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 21. What is the largest of them?
  10. 10.The sum of two numbers is 109 and their difference is 75. What is the larger number?
  11. 11.The sum of two numbers is 109 and their difference is 7. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 100. What is the smaller number?
  13. 13.The sum of two numbers is 99 and their difference is 11. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 111. What is the largest of them?
  17. 17.The sum of two numbers is 77 and their difference is 59. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  21. 21.The sum of two numbers is 181 and their difference is 7. What is the larger number?
  22. 22.The sum of 5 consecutive numbers is 175. What is the largest of them?
  23. 23.The sum of two numbers is 110 and their difference is 50. What is the larger number?
  24. 24.The sum of two numbers is 48 and their difference is 38. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 60. What is the smaller number?
  26. 26.The sum of two numbers is 19 and their difference is 9. What is the larger number?
  27. 27.One number is 2 times another. Their difference is 16. What is the smaller number?
  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 two numbers is 134 and their difference is 38. What is the larger number?
  30. 30.The sum of two numbers is 55 and their difference is 5. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  33. 33.The sum of two numbers is 122 and their difference is 74. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  35. 35.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  37. 37.One number is 4 times another. Their difference is 69. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 236. What is the smallest of them?

Answer key

  1. 32
  2. 84
  3. 23
  4. 23
  5. 27
  6. 8
  7. 62
  8. 29
  9. 8
  10. 92
  11. 51
  12. 25
  13. 55
  14. 33
  15. 34
  16. 38
  17. 9
  18. 67
  19. 26
  20. 14
  21. 94
  22. 37
  23. 80
  24. 5
  25. 12
  26. 14
  27. 16
  28. 19
  29. 86
  30. 25
  31. 37
  32. 27
  33. 24
  34. 69
  35. 1
  36. 21
  37. 23
  38. 56
  39. 84
  40. 56

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