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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 518 · 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 3 consecutive numbers is 111. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 72. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 14. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 5. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 34. What is the smaller number?
  9. 9.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?
  10. 10.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?
  11. 11.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?
  12. 12.One number is 3 times another. Their difference is 64. What is the smaller number?
  13. 13.The sum of two numbers is 75 and their difference is 45. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 10. What is the smaller number?
  15. 15.One number is 4 times another. Their difference is 111. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 81. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 182. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 42. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 95 and their difference is 89. What is the smaller number?
  23. 23.The sum of two numbers is 63 and their difference is 5. What is the smaller number?
  24. 24.The sum of two numbers is 79 and their difference is 9. What is the smaller number?
  25. 25.The sum of two numbers is 68 and their difference is 48. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 12. What is the smaller number?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.The sum of 4 consecutive numbers is 218. What is the largest of them?
  32. 32.The sum of two numbers is 69 and their difference is 49. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of two numbers is 60 and their difference is 2. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.One number is 4 times another. Their difference is 18. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 275. What is the smallest of them?

Answer key

  1. 38
  2. 57
  3. 18
  4. 22
  5. 7
  6. 30
  7. 5
  8. 17
  9. 69
  10. 45
  11. 67
  12. 32
  13. 15
  14. 10
  15. 37
  16. 27
  17. 45
  18. 42
  19. 47
  20. 14
  21. 36
  22. 3
  23. 29
  24. 35
  25. 10
  26. 12
  27. 38
  28. 59
  29. 78
  30. 37
  31. 56
  32. 10
  33. 48
  34. 19
  35. 31
  36. 60
  37. 15
  38. 6
  39. 65
  40. 53

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