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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 95 · 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 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 15. What is the smaller number?
  4. 4.The sum of two numbers is 96 and their difference is 30. What is the larger number?
  5. 5.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 72. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 152. What is the largest 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 sum of 4 consecutive numbers is 42. What is the smallest of them?
  18. 18.The sum of two numbers is 41 and their difference is 19. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  20. 20.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?
  21. 21.One number is 3 times another. Their difference is 54. What is the smaller number?
  22. 22.The sum of two numbers is 108 and their difference is 2. What is the larger number?
  23. 23.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?
  24. 24.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of 4 consecutive numbers is 154. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  30. 30.The sum of two numbers is 87 and their difference is 19. What is the larger number?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The sum of two numbers is 105 and their difference is 71. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  34. 34.The sum of two numbers is 129 and their difference is 37. What is the larger number?
  35. 35.One number is 3 times another. Their difference is 34. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 155. What is the largest of them?
  39. 39.The sum of two numbers is 46 and their difference is 38. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 111. What is the smaller number?

Answer key

  1. 56
  2. 85
  3. 15
  4. 63
  5. 10
  6. 35
  7. 25
  8. 7
  9. 26
  10. 35
  11. 60
  12. 48
  13. 60
  14. 37
  15. 41
  16. 57
  17. 9
  18. 30
  19. 21
  20. 19
  21. 27
  22. 55
  23. 59
  24. 46
  25. 89
  26. 39
  27. 40
  28. 77
  29. 24
  30. 53
  31. 27
  32. 17
  33. 58
  34. 83
  35. 17
  36. 78
  37. 14
  38. 33
  39. 4
  40. 37

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