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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 796 · 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 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?
  3. 3.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 24. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the 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 4 consecutive odd numbers is 312. What is the smallest of them?
  14. 14.The sum of two numbers is 36 and their difference is 2. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 33. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 78. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  26. 26.The sum of two numbers is 115 and their difference is 61. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  28. 28.The sum of two numbers is 26 and their difference is 22. What is the larger number?
  29. 29.The sum of 4 consecutive numbers is 130. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 152. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.One number is 4 times another. Their difference is 30. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 81. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 280. What is the largest of them?
  35. 35.The sum of two numbers is 29 and their difference is 15. What is the smaller number?
  36. 36.The sum of two numbers is 15 and their difference is 9. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 160. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 153. What is the largest of them?
  40. 40.The sum of two numbers is 22 and their difference is 8. What is the smaller number?

Answer key

  1. 45
  2. 59
  3. 25
  4. 60
  5. 57
  6. 51
  7. 9
  8. 19
  9. 78
  10. 56
  11. 69
  12. 48
  13. 75
  14. 17
  15. 50
  16. 12
  17. 46
  18. 59
  19. 31
  20. 11
  21. 33
  22. 56
  23. 34
  24. 39
  25. 17
  26. 27
  27. 39
  28. 24
  29. 34
  30. 38
  31. 17
  32. 10
  33. 28
  34. 58
  35. 7
  36. 3
  37. 32
  38. 24
  39. 52
  40. 7

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