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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 511 · 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 sum of 5 consecutive numbers is 150. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 96. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  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.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 5 consecutive numbers is 255. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 50. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 18. What is the smaller number?
  12. 12.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?
  13. 13.The sum of two numbers is 132 and their difference is 30. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 24. What is the smaller number?
  15. 15.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?
  16. 16.One number is 6 times another. Their difference is 85. What is the smaller number?
  17. 17.The sum of two numbers is 116 and their difference is 60. What is the larger number?
  18. 18.The sum of two numbers is 68 and their difference is 44. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 26. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  21. 21.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  22. 22.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?
  23. 23.The sum of two numbers is 107 and their difference is 17. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  25. 25.The sum of two numbers is 67 and their difference is 9. What is the smaller number?
  26. 26.The sum of two numbers is 14 and their difference is 10. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 72. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 10. What is the smaller number?
  29. 29.One number is 4 times another. Their difference is 36. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 75. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  33. 33.One number is 2 times another. Their difference is 16. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  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.One number is 3 times another. Their difference is 52. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 42. What is the smaller number?
  40. 40.The sum of two numbers is 142 and their difference is 28. What is the larger number?

Answer key

  1. 32
  2. 22
  3. 33
  4. 57
  5. 47
  6. 59
  7. 78
  8. 79
  9. 53
  10. 10
  11. 18
  12. 89
  13. 51
  14. 24
  15. 19
  16. 17
  17. 88
  18. 12
  19. 13
  20. 11
  21. 10
  22. 69
  23. 45
  24. 33
  25. 29
  26. 2
  27. 36
  28. 5
  29. 12
  30. 17
  31. 25
  32. 16
  33. 16
  34. 21
  35. 34
  36. 67
  37. 26
  38. 59
  39. 14
  40. 85

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