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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 946 · 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 13. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 206. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 21. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 72. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.One number is 2 times another. Their difference is 33. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 60. What is the smaller number?
  9. 9.The sum of two numbers is 45 and their difference is 9. What is the larger number?
  10. 10.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 54. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 65. What is the smaller number?
  13. 13.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?
  14. 14.One number is 6 times another. Their difference is 200. What is the smaller number?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 105. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  20. 20.The sum of two numbers is 162 and their difference is 22. What is the larger number?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 147. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  24. 24.The sum of two numbers is 136 and their difference is 2. What is the larger number?
  25. 25.One number is 2 times another. Their difference is 22. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 162. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 58. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 88. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 80. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 19. What is the smaller number?

Answer key

  1. 67
  2. 6
  3. 53
  4. 8
  5. 25
  6. 23
  7. 33
  8. 12
  9. 27
  10. 34
  11. 27
  12. 13
  13. 89
  14. 40
  15. 56
  16. 35
  17. 10
  18. 45
  19. 23
  20. 92
  21. 49
  22. 50
  23. 47
  24. 69
  25. 22
  26. 55
  27. 16
  28. 68
  29. 69
  30. 22
  31. 12
  32. 17
  33. 57
  34. 39
  35. 55
  36. 39
  37. 51
  38. 9
  39. 20
  40. 19

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