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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 128 · 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 94 and their difference is 80. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  3. 3.The sum of two numbers is 31 and their difference is 5. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  5. 5.The sum of two numbers is 147 and their difference is 9. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 31 and their difference is 7. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  10. 10.One number is 6 times another. Their difference is 90. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  12. 12.The sum of two numbers is 146 and their difference is 28. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  15. 15.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.One number is 2 times another. Their difference is 4. What is the smaller number?
  19. 19.The sum of two numbers is 133 and their difference is 33. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 165. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 95. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  29. 29.The sum of two numbers is 52 and their difference is 40. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.One number is 2 times another. Their difference is 15. What is the smaller number?
  34. 34.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?
  35. 35.The sum of two numbers is 53 and their difference is 3. What is the larger number?
  36. 36.One number is 5 times another. Their difference is 112. What is the smaller number?
  37. 37.The sum of two numbers is 64 and their difference is 62. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  39. 39.The sum of two numbers is 30 and their difference is 12. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 60. What is the smallest of them?

Answer key

  1. 87
  2. 54
  3. 18
  4. 35
  5. 69
  6. 89
  7. 12
  8. 23
  9. 39
  10. 18
  11. 69
  12. 87
  13. 29
  14. 29
  15. 35
  16. 57
  17. 14
  18. 4
  19. 50
  20. 36
  21. 56
  22. 54
  23. 56
  24. 21
  25. 80
  26. 26
  27. 36
  28. 65
  29. 46
  30. 15
  31. 73
  32. 59
  33. 15
  34. 79
  35. 28
  36. 28
  37. 1
  38. 81
  39. 21
  40. 19

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