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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 319 · 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 3 consecutive odd numbers is 171. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  3. 3.The sum of two numbers is 133 and their difference is 31. What is the smaller number?
  4. 4.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  5. 5.The sum of two numbers is 41 and their difference is 19. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  11. 11.The sum of two numbers is 131 and their difference is 47. What is the smaller number?
  12. 12.The sum of two numbers is 120 and their difference is 14. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  17. 17.The sum of two numbers is 98 and their difference is 12. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 3. What is the smaller number?
  20. 20.The sum of two numbers is 79 and their difference is 77. What is the larger number?
  21. 21.One number is 6 times another. Their difference is 175. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 78. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 14. What is the smaller number?
  24. 24.The sum of two numbers is 101 and their difference is 33. What is the larger number?
  25. 25.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?
  26. 26.The sum of two numbers is 152 and their difference is 8. What is the smaller number?
  27. 27.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?
  28. 28.One number is 4 times another. Their difference is 111. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.One number is 5 times another. Their difference is 68. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 12. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.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?
  37. 37.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?
  38. 38.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?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 114. What is the largest of them?

Answer key

  1. 59
  2. 35
  3. 51
  4. 10
  5. 11
  6. 69
  7. 81
  8. 67
  9. 44
  10. 63
  11. 42
  12. 53
  13. 57
  14. 39
  15. 8
  16. 40
  17. 43
  18. 51
  19. 3
  20. 78
  21. 35
  22. 21
  23. 7
  24. 67
  25. 78
  26. 72
  27. 27
  28. 37
  29. 7
  30. 63
  31. 10
  32. 12
  33. 17
  34. 12
  35. 16
  36. 26
  37. 19
  38. 13
  39. 89
  40. 30

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