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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 589 · 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 37 and their difference is 35. What is the larger number?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 185. What is the largest of them?
  4. 4.The sum of two numbers is 90 and their difference is 42. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 63. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 75. What is the largest of them?
  8. 8.The sum of two numbers is 85 and their difference is 33. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 270. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 52 and their difference is 50. What is the smaller number?
  16. 16.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  17. 17.The sum of two numbers is 102 and their difference is 86. What is the smaller number?
  18. 18.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?
  19. 19.One number is 2 times another. Their difference is 14. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  21. 21.One number is 4 times another. Their difference is 102. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 172 and their difference is 18. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 44. What is the smaller number?
  29. 29.The sum of two numbers is 36 and their difference is 28. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 170. What is the smaller number?
  31. 31.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?
  32. 32.The sum of two numbers is 17 and their difference is 13. What is the larger number?
  33. 33.One number is 4 times another. Their difference is 54. What is the smaller number?
  34. 34.The sum of two numbers is 21 and their difference is 9. What is the smaller number?
  35. 35.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?
  36. 36.One number is 3 times another. Their difference is 46. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of two numbers is 54 and their difference is 6. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 5. What is the smaller number?

Answer key

  1. 36
  2. 14
  3. 39
  4. 66
  5. 51
  6. 21
  7. 17
  8. 26
  9. 44
  10. 16
  11. 56
  12. 32
  13. 53
  14. 79
  15. 1
  16. 25
  17. 8
  18. 56
  19. 14
  20. 14
  21. 34
  22. 14
  23. 9
  24. 48
  25. 80
  26. 67
  27. 77
  28. 11
  29. 4
  30. 34
  31. 45
  32. 15
  33. 18
  34. 6
  35. 58
  36. 23
  37. 40
  38. 24
  39. 55
  40. 5

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