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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 25 · 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.One number is 5 times another. Their difference is 24. What is the smaller number?
  2. 2.The sum of two numbers is 181 and their difference is 13. What is the larger number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 180. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 40. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 4. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 171. What is the largest of them?
  14. 14.The sum of two numbers is 22 and their difference is 6. What is the smaller number?
  15. 15.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?
  16. 16.One number is 5 times another. Their difference is 120. What is the smaller number?
  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 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?
  19. 19.One number is 6 times another. Their difference is 95. What is the smaller number?
  20. 20.The sum of two numbers is 57 and their difference is 5. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  22. 22.One number is 3 times another. Their difference is 42. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  25. 25.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?
  26. 26.The sum of two numbers is 163 and their difference is 29. What is the larger number?
  27. 27.The sum of two numbers is 56 and their difference is 26. What is the larger number?
  28. 28.The sum of two numbers is 22 and their difference is 4. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  30. 30.One number is 2 times another. Their difference is 9. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 62. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 35. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  37. 37.The sum of two numbers is 60 and their difference is 32. What is the larger number?
  38. 38.One number is 4 times another. Their difference is 9. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  40. 40.One number is 6 times another. Their difference is 120. What is the smaller number?

Answer key

  1. 6
  2. 97
  3. 67
  4. 58
  5. 84
  6. 61
  7. 44
  8. 47
  9. 46
  10. 20
  11. 69
  12. 4
  13. 58
  14. 8
  15. 45
  16. 30
  17. 78
  18. 23
  19. 19
  20. 26
  21. 83
  22. 21
  23. 41
  24. 18
  25. 79
  26. 96
  27. 41
  28. 13
  29. 45
  30. 9
  31. 31
  32. 56
  33. 70
  34. 9
  35. 62
  36. 18
  37. 46
  38. 3
  39. 11
  40. 24

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