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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 174 · 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 10. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 5 consecutive numbers is 145. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 54. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 177 and their difference is 17. What is the larger number?
  8. 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.One number is 3 times another. Their difference is 30. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 185. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of two numbers is 45 and their difference is 7. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.One number is 3 times another. Their difference is 58. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 100 and their difference is 44. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 55. What is the smaller number?
  31. 31.The sum of two numbers is 109 and their difference is 63. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 93. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 84. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 50. What is the largest of them?
  36. 36.The sum of two numbers is 91 and their difference is 1. What is the smaller number?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 28. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 70. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 8. What is the smaller number?

Answer key

  1. 46
  2. 31
  3. 19
  4. 35
  5. 17
  6. 78
  7. 97
  8. 58
  9. 71
  10. 53
  11. 33
  12. 25
  13. 18
  14. 54
  15. 34
  16. 15
  17. 37
  18. 11
  19. 68
  20. 19
  21. 49
  22. 45
  23. 29
  24. 19
  25. 28
  26. 5
  27. 38
  28. 45
  29. 29
  30. 11
  31. 86
  32. 29
  33. 32
  34. 28
  35. 12
  36. 45
  37. 56
  38. 7
  39. 19
  40. 8

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