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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 496 · 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 10. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 25. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 76. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  7. 7.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  9. 9.The sum of two numbers is 83 and their difference is 7. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 270. 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 11. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.One number is 5 times another. Their difference is 96. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 87. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 117. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  18. 18.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?
  19. 19.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 144. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 45. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 115. What is the smaller number?
  26. 26.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?
  27. 27.One number is 4 times another. Their difference is 81. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 31. What is the smaller number?
  29. 29.The sum of two numbers is 79 and their difference is 23. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 168. What is the largest of them?
  34. 34.The sum of two numbers is 92 and their difference is 38. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 4. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 39. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 300. What is the smallest of them?

Answer key

  1. 37
  2. 51
  3. 5
  4. 56
  5. 19
  6. 18
  7. 29
  8. 63
  9. 38
  10. 56
  11. 17
  12. 38
  13. 24
  14. 23
  15. 30
  16. 39
  17. 61
  18. 49
  19. 35
  20. 59
  21. 57
  22. 49
  23. 34
  24. 16
  25. 23
  26. 89
  27. 27
  28. 31
  29. 28
  30. 70
  31. 54
  32. 19
  33. 57
  34. 65
  35. 4
  36. 13
  37. 10
  38. 7
  39. 39
  40. 58

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