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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 731 · 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 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 3 consecutive numbers is 21. What is the largest of them?
  3. 3.The sum of two numbers is 46 and their difference is 20. What is the larger number?
  4. 4.The sum of two numbers is 39 and their difference is 7. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.One number is 6 times another. Their difference is 160. What is the smaller number?
  7. 7.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?
  8. 8.One number is 4 times another. Their difference is 42. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 230. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 177. What is the largest of them?
  13. 13.The sum of two numbers is 123 and their difference is 53. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 195. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 30. What is the largest of them?
  17. 17.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 240. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 22. What is the smaller number?
  22. 22.The sum of two numbers is 40 and their difference is 24. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  25. 25.The sum of two numbers is 72 and their difference is 66. What is the larger number?
  26. 26.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?
  27. 27.The sum of two numbers is 37 and their difference is 1. What is the smaller number?
  28. 28.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 218. What is the largest of them?
  33. 33.The sum of two numbers is 81 and their difference is 43. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 15. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  37. 37.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  39. 39.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?
  40. 40.One number is 4 times another. Their difference is 36. What is the smaller number?

Answer key

  1. 56
  2. 8
  3. 33
  4. 16
  5. 26
  6. 32
  7. 78
  8. 14
  9. 49
  10. 13
  11. 59
  12. 60
  13. 88
  14. 41
  15. 23
  16. 11
  17. 64
  18. 80
  19. 50
  20. 16
  21. 22
  22. 32
  23. 7
  24. 9
  25. 69
  26. 17
  27. 18
  28. 4
  29. 79
  30. 12
  31. 81
  32. 56
  33. 19
  34. 61
  35. 3
  36. 67
  37. 23
  38. 17
  39. 35
  40. 12

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