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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 777 · 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 27. What is the number?
  2. 2.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 60. What is the largest of them?
  4. 4.The sum of two numbers is 55 and their difference is 49. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  6. 6.The sum of two numbers is 72 and their difference is 46. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 55. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  11. 11.One number is 4 times another. Their difference is 21. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  14. 14.The sum of two numbers is 36 and their difference is 2. What is the smaller number?
  15. 15.The sum of two numbers is 71 and their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 159. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 90. What is the smaller number?
  20. 20.The sum of two numbers is 61 and their difference is 11. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 97 and their difference is 77. What is the larger number?
  23. 23.The sum of two numbers is 123 and their difference is 15. What is the smaller 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.The sum of 5 consecutive numbers is 280. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 235. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 30. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 21. What is the largest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  31. 31.The sum of two numbers is 25 and their difference is 15. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 80. What is the smaller number?
  34. 34.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?
  35. 35.One number is 5 times another. Their difference is 52. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 52. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  40. 40.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?

Answer key

  1. 36
  2. 45
  3. 21
  4. 52
  5. 20
  6. 13
  7. 68
  8. 62
  9. 11
  10. 48
  11. 7
  12. 67
  13. 59
  14. 17
  15. 27
  16. 54
  17. 49
  18. 11
  19. 30
  20. 25
  21. 17
  22. 87
  23. 54
  24. 58
  25. 58
  26. 49
  27. 10
  28. 8
  29. 38
  30. 9
  31. 5
  32. 66
  33. 40
  34. 37
  35. 13
  36. 89
  37. 28
  38. 26
  39. 6
  40. 19

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