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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 735 · 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 15. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 6. 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 8. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of two numbers is 69 and their difference is 1. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 206. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  9. 9.The sum of two numbers is 25 and their difference is 11. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 38. What is the largest of them?
  11. 11.One number is 4 times another. Their difference is 51. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 120 and their difference is 78. What is the larger number?
  14. 14.One number is 3 times another. Their difference is 58. What is the smaller number?
  15. 15.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?
  16. 16.The sum of two numbers is 81 and their difference is 33. What is the larger number?
  17. 17.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 13. What is the smaller number?
  19. 19.The sum of two numbers is 87 and their difference is 9. What is the larger number?
  20. 20.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  21. 21.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?
  22. 22.One number is 4 times another. Their difference is 42. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 147. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 22. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 66. What is the largest of them?
  29. 29.The sum of two numbers is 104 and their difference is 60. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 102. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  32. 32.The sum of two numbers is 88 and their difference is 38. What is the larger number?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 96. What is the smaller number?
  38. 38.The sum of two numbers is 80 and their difference is 26. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 27. What is the smaller number?

Answer key

  1. 78
  2. 89
  3. 24
  4. 26
  5. 34
  6. 56
  7. 53
  8. 63
  9. 7
  10. 11
  11. 17
  12. 48
  13. 99
  14. 29
  15. 39
  16. 57
  17. 26
  18. 13
  19. 48
  20. 23
  21. 59
  22. 14
  23. 50
  24. 58
  25. 31
  26. 22
  27. 42
  28. 18
  29. 82
  30. 35
  31. 29
  32. 63
  33. 13
  34. 12
  35. 34
  36. 22
  37. 24
  38. 27
  39. 23
  40. 27

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