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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 120 · 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 9. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 163 and their difference is 29. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 117. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 69. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 110. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 48. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 36. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 57. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 27. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 129. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 150. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 195. What is the smaller number?
  23. 23.The sum of two numbers is 31 and their difference is 29. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 182. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 108. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 72. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 13. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 153. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 80. What is the smaller number?

Answer key

  1. 45
  2. 67
  3. 19
  4. 40
  5. 79
  6. 24
  7. 24
  8. 76
  9. 24
  10. 36
  11. 68
  12. 13
  13. 19
  14. 11
  15. 27
  16. 44
  17. 56
  18. 6
  19. 39
  20. 41
  21. 30
  22. 39
  23. 30
  24. 45
  25. 47
  26. 26
  27. 22
  28. 24
  29. 27
  30. 46
  31. 47
  32. 56
  33. 36
  34. 69
  35. 13
  36. 13
  37. 52
  38. 16
  39. 67
  40. 40

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