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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 440 · 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 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?
  2. 2.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  4. 4.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  7. 7.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?
  8. 8.One number is 5 times another. Their difference is 136. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 3. What is the smaller number?
  11. 11.The sum of two numbers is 35 and their difference is 13. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 230. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 21. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 190. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 30. What is the smaller number?
  19. 19.The sum of two numbers is 70 and their difference is 42. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 20. What is the smaller number?
  24. 24.The sum of two numbers is 91 and their difference is 65. What is the larger number?
  25. 25.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of two numbers is 155 and their difference is 19. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 20. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 106. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 46. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 87. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  37. 37.The sum of two numbers is 62 and their difference is 52. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 44. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 42. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?

Answer key

  1. 78
  2. 15
  3. 37
  4. 21
  5. 18
  6. 16
  7. 69
  8. 34
  9. 83
  10. 3
  11. 11
  12. 89
  13. 38
  14. 59
  15. 17
  16. 8
  17. 40
  18. 30
  19. 56
  20. 20
  21. 47
  22. 15
  23. 10
  24. 78
  25. 30
  26. 79
  27. 68
  28. 20
  29. 54
  30. 28
  31. 19
  32. 23
  33. 13
  34. 30
  35. 36
  36. 6
  37. 5
  38. 11
  39. 14
  40. 73

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