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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 646 · 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 18. What is the number?
  2. 2.One number is 3 times another. Their difference is 44. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  5. 5.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?
  6. 6.One number is 2 times another. Their difference is 5. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 30. What is the smaller number?
  9. 9.The sum of two numbers is 36 and their difference is 20. What is the larger number?
  10. 10.One number is 6 times another. Their difference is 170. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 3. What is the smaller number?
  12. 12.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  13. 13.The sum of two numbers is 127 and their difference is 61. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  15. 15.The sum of two numbers is 45 and their difference is 43. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 19. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  20. 20.One number is 6 times another. Their difference is 150. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 15. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 4. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 20. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  31. 31.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?
  32. 32.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?
  33. 33.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 194. What is the largest of them?
  37. 37.The sum of two numbers is 61 and their difference is 55. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 96. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 78. What is the smaller number?

Answer key

  1. 46
  2. 22
  3. 78
  4. 35
  5. 89
  6. 5
  7. 80
  8. 30
  9. 28
  10. 34
  11. 3
  12. 10
  13. 94
  14. 19
  15. 1
  16. 69
  17. 60
  18. 19
  19. 29
  20. 30
  21. 37
  22. 15
  23. 34
  24. 52
  25. 26
  26. 76
  27. 4
  28. 50
  29. 4
  30. 74
  31. 23
  32. 27
  33. 15
  34. 28
  35. 24
  36. 50
  37. 3
  38. 32
  39. 69
  40. 39

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