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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 308 · 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.One number is 2 times another. Their difference is 10. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  3. 3.The sum of two numbers is 48 and their difference is 38. What is the larger number?
  4. 4.The sum of two numbers is 102 and their difference is 92. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 234. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 165. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 150. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  15. 15.The sum of 3 consecutive numbers is 66. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  21. 21.The sum of two numbers is 68 and their difference is 2. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 51. What is the largest of them?
  23. 23.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?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.One number is 3 times another. Their difference is 6. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 23. What is the smaller number?
  27. 27.One number is 6 times another. Their difference is 95. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 21. What is the smaller number?
  29. 29.The sum of two numbers is 131 and their difference is 67. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 260. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  33. 33.One number is 6 times another. Their difference is 55. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 68. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  39. 39.One number is 6 times another. Their difference is 35. What is the smaller number?
  40. 40.The sum of two numbers is 98 and their difference is 14. What is the larger number?

Answer key

  1. 10
  2. 37
  3. 43
  4. 5
  5. 36
  6. 76
  7. 60
  8. 72
  9. 56
  10. 13
  11. 51
  12. 47
  13. 10
  14. 19
  15. 23
  16. 59
  17. 19
  18. 24
  19. 41
  20. 71
  21. 33
  22. 18
  23. 12
  24. 58
  25. 3
  26. 23
  27. 19
  28. 7
  29. 99
  30. 54
  31. 41
  32. 8
  33. 11
  34. 89
  35. 28
  36. 17
  37. 59
  38. 21
  39. 7
  40. 56

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