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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 428 · 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 12. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 190. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 57. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 124. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 68 and their difference is 44. What is the larger number?
  8. 8.The sum of two numbers is 74 and their difference is 8. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  10. 10.One number is 2 times another. Their difference is 20. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  12. 12.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 55. What is the smaller number?
  15. 15.One number is 4 times another. Their difference is 105. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  18. 18.The sum of two numbers is 32 and their difference is 8. What is the larger number?
  19. 19.The sum of two numbers is 106 and their difference is 28. What is the smaller number?
  20. 20.The sum of two numbers is 40 and their difference is 24. What is the larger number?
  21. 21.The sum of two numbers is 33 and their difference is 25. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 70. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  25. 25.The sum of two numbers is 37 and their difference is 13. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 16. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 6. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.One number is 5 times another. Their difference is 20. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 171. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 68. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 116. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?

Answer key

  1. 57
  2. 74
  3. 40
  4. 20
  5. 31
  6. 37
  7. 56
  8. 33
  9. 26
  10. 20
  11. 49
  12. 6
  13. 39
  14. 11
  15. 35
  16. 13
  17. 29
  18. 20
  19. 39
  20. 32
  21. 4
  22. 35
  23. 48
  24. 35
  25. 12
  26. 16
  27. 3
  28. 24
  29. 5
  30. 69
  31. 8
  32. 26
  33. 58
  34. 34
  35. 73
  36. 49
  37. 59
  38. 29
  39. 79
  40. 23

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