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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 271 · 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 45. What is the number?
  2. 2.The sum of 5 consecutive numbers is 170. What is the largest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 28 and their difference is 2. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  6. 6.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?
  7. 7.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  11. 11.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 84. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 28. What is the smaller number?
  15. 15.The sum of two numbers is 81 and their difference is 65. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 310. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  20. 20.The sum of two numbers is 117 and their difference is 21. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 81. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 75. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 41 and their difference is 7. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 175. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 50. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 16. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 26. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 21. What is the smallest of them?

Answer key

  1. 27
  2. 36
  3. 58
  4. 13
  5. 61
  6. 89
  7. 18
  8. 14
  9. 7
  10. 39
  11. 16
  12. 29
  13. 12
  14. 28
  15. 73
  16. 24
  17. 64
  18. 67
  19. 61
  20. 48
  21. 27
  22. 15
  23. 36
  24. 17
  25. 76
  26. 35
  27. 37
  28. 5
  29. 12
  30. 4
  31. 25
  32. 56
  33. 8
  34. 60
  35. 13
  36. 53
  37. 71
  38. 56
  39. 15
  40. 6

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