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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 566 · 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 4 times another. Their difference is 48. What is the smaller number?
  2. 2.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?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 104. What is the smaller number?
  8. 8.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?
  9. 9.One number is 5 times another. Their difference is 44. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 18. What is the largest of them?
  11. 11.One number is 5 times another. Their difference is 128. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  13. 13.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?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 158. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  21. 21.The sum of two numbers is 94 and their difference is 30. What is the larger number?
  22. 22.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  27. 27.The sum of two numbers is 146 and their difference is 52. What is the larger number?
  28. 28.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 60. What is the smaller number?
  30. 30.The sum of two numbers is 91 and their difference is 27. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 12. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 180. What is the smaller number?
  35. 35.The sum of two numbers is 76 and their difference is 36. What is the larger number?
  36. 36.The sum of 5 consecutive numbers is 75. What is the largest of them?
  37. 37.The sum of two numbers is 103 and their difference is 77. What is the smaller number?
  38. 38.The sum of two numbers is 60 and their difference is 34. What is the larger number?
  39. 39.One number is 4 times another. Their difference is 39. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 244. What is the smallest of them?

Answer key

  1. 16
  2. 56
  3. 79
  4. 13
  5. 18
  6. 11
  7. 26
  8. 39
  9. 11
  10. 7
  11. 32
  12. 85
  13. 68
  14. 28
  15. 58
  16. 15
  17. 41
  18. 47
  19. 14
  20. 15
  21. 62
  22. 18
  23. 73
  24. 41
  25. 58
  26. 33
  27. 99
  28. 50
  29. 30
  30. 32
  31. 10
  32. 25
  33. 12
  34. 36
  35. 56
  36. 17
  37. 13
  38. 47
  39. 13
  40. 58

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