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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 955 · 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 235. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  3. 3.The sum of two numbers is 57 and their difference is 13. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  5. 5.The sum of two numbers is 57 and their difference is 1. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive numbers is 69. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 54. What is the largest of them?
  11. 11.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?
  12. 12.One number is 3 times another. Their difference is 22. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  14. 14.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  17. 17.The sum of two numbers is 84 and their difference is 28. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  20. 20.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?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 168. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  24. 24.The sum of two numbers is 36 and their difference is 10. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 105. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 195. What is the largest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 149 and their difference is 13. What is the larger number?
  30. 30.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  31. 31.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?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 37. What is the smaller number?
  36. 36.The sum of two numbers is 46 and their difference is 24. What is the larger number?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 208. What is the largest of them?

Answer key

  1. 49
  2. 35
  3. 22
  4. 26
  5. 28
  6. 79
  7. 20
  8. 25
  9. 24
  10. 19
  11. 89
  12. 11
  13. 73
  14. 56
  15. 52
  16. 77
  17. 28
  18. 60
  19. 81
  20. 27
  21. 39
  22. 57
  23. 34
  24. 13
  25. 52
  26. 35
  27. 41
  28. 57
  29. 81
  30. 41
  31. 45
  32. 48
  33. 12
  34. 58
  35. 37
  36. 35
  37. 78
  38. 26
  39. 36
  40. 55

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