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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 443 · 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 two numbers is 36 and their difference is 6. What is the smaller number?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.One number is 2 times another. Their difference is 38. What is the smaller number?
  5. 5.The sum of two numbers is 119 and their difference is 21. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 23. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  10. 10.The sum of two numbers is 153 and their difference is 7. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 6. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 59 and their difference is 5. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  19. 19.One number is 6 times another. Their difference is 40. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 175. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 148. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 166. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 170. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 310. What is the largest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  29. 29.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  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 3 consecutive numbers is 66. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  33. 33.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?
  34. 34.One number is 4 times another. Their difference is 57. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  36. 36.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  37. 37.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 13. What is the smaller number?
  40. 40.The sum of two numbers is 32 and their difference is 24. What is the larger number?

Answer key

  1. 15
  2. 89
  3. 35
  4. 38
  5. 49
  6. 23
  7. 50
  8. 12
  9. 56
  10. 73
  11. 6
  12. 27
  13. 48
  14. 78
  15. 27
  16. 16
  17. 26
  18. 12
  19. 8
  20. 37
  21. 37
  22. 19
  23. 43
  24. 44
  25. 64
  26. 25
  27. 5
  28. 17
  29. 10
  30. 69
  31. 21
  32. 22
  33. 47
  34. 19
  35. 19
  36. 17
  37. 26
  38. 11
  39. 13
  40. 28

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