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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 303 · 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 4 consecutive odd numbers is 264. What is the largest of them?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of two numbers is 42 and their difference is 14. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 80. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 27. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 190. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 170. What is the largest of them?
  11. 11.One number is 6 times another. Their difference is 80. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  14. 14.The sum of two numbers is 163 and their difference is 5. What is the smaller number?
  15. 15.The sum of two numbers is 117 and their difference is 23. What is the larger number?
  16. 16.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 186. What is the largest of them?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 32. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  23. 23.One number is 3 times another. Their difference is 50. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 100. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  27. 27.The sum of two numbers is 38 and their difference is 22. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 38. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  30. 30.The sum of two numbers is 22 and their difference is 12. What is the larger number?
  31. 31.The sum of two numbers is 113 and their difference is 5. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  34. 34.The sum of two numbers is 106 and their difference is 86. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 10. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 69. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 162. What is the largest of them?
  38. 38.The sum of two numbers is 124 and their difference is 66. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  40. 40.One number is 6 times another. Their difference is 45. What is the smaller number?

Answer key

  1. 69
  2. 25
  3. 46
  4. 14
  5. 82
  6. 18
  7. 9
  8. 40
  9. 10
  10. 36
  11. 16
  12. 12
  13. 40
  14. 79
  15. 70
  16. 21
  17. 78
  18. 27
  19. 48
  20. 37
  21. 16
  22. 20
  23. 25
  24. 20
  25. 89
  26. 9
  27. 8
  28. 19
  29. 48
  30. 17
  31. 59
  32. 12
  33. 73
  34. 10
  35. 5
  36. 23
  37. 42
  38. 29
  39. 35
  40. 9

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