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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 546 · 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 80. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 255. What is the largest of them?
  3. 3.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 170. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 124. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 16. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  12. 12.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 180. What is the largest of them?
  16. 16.The sum of two numbers is 164 and their difference is 8. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  18. 18.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?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of two numbers is 81 and their difference is 25. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 11. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.One number is 2 times another. Their difference is 15. What is the smaller number?
  25. 25.The sum of two numbers is 53 and their difference is 35. What is the larger number?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The sum of 3 consecutive numbers is 36. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 65. 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 two numbers is 107 and their difference is 47. What is the smaller number?
  38. 38.The sum of two numbers is 102 and their difference is 72. What is the larger number?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 81. What is the largest of them?

Answer key

  1. 18
  2. 53
  3. 52
  4. 34
  5. 79
  6. 35
  7. 31
  8. 16
  9. 18
  10. 36
  11. 48
  12. 12
  13. 10
  14. 65
  15. 61
  16. 78
  17. 50
  18. 59
  19. 39
  20. 47
  21. 28
  22. 11
  23. 46
  24. 15
  25. 44
  26. 78
  27. 54
  28. 26
  29. 27
  30. 23
  31. 38
  32. 45
  33. 13
  34. 64
  35. 13
  36. 67
  37. 30
  38. 87
  39. 58
  40. 29

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