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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 935 · 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 12. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 28 and their difference is 18. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 90. What is the largest of them?
  5. 5.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?
  6. 6.The sum of two numbers is 53 and their difference is 25. What is the larger number?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 3 consecutive numbers is 66. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 18. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 129. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 238. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 20. What is the smaller number?
  17. 17.The sum of two numbers is 67 and their difference is 59. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 185. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 128 and their difference is 30. What is the smaller number?
  22. 22.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  23. 23.One number is 6 times another. Their difference is 100. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 75. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 81. What is the largest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 95 and their difference is 13. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 24. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 198. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 8. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 30. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 14. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 112. What is the largest of them?

Answer key

  1. 57
  2. 5
  3. 66
  4. 24
  5. 79
  6. 39
  7. 49
  8. 23
  9. 6
  10. 29
  11. 48
  12. 44
  13. 73
  14. 61
  15. 48
  16. 4
  17. 4
  18. 77
  19. 39
  20. 27
  21. 49
  22. 11
  23. 20
  24. 15
  25. 78
  26. 46
  27. 28
  28. 67
  29. 41
  30. 24
  31. 51
  32. 32
  33. 8
  34. 89
  35. 44
  36. 50
  37. 11
  38. 30
  39. 7
  40. 31

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