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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 608 · 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 50 and their difference is 40. What is the smaller number?
  2. 2.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?
  3. 3.One number is 2 times another. Their difference is 30. What is the smaller number?
  4. 4.The sum of two numbers is 64 and their difference is 8. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 75. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 12. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 174. 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 63. What is the number?
  11. 11.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  13. 13.The sum of two numbers is 70 and their difference is 44. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  16. 16.The sum of two numbers is 140 and their difference is 58. What is the larger number?
  17. 17.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  18. 18.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?
  19. 19.One number is 5 times another. Their difference is 96. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  21. 21.The sum of two numbers is 41 and their difference is 17. What is the larger number?
  22. 22.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 154. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  25. 25.The sum of two numbers is 123 and their difference is 7. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 18. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 23 and their difference is 1. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 129. What is the largest of them?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 75. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 72. What is the largest of them?

Answer key

  1. 5
  2. 69
  3. 30
  4. 28
  5. 52
  6. 15
  7. 4
  8. 79
  9. 56
  10. 18
  11. 9
  12. 29
  13. 13
  14. 12
  15. 11
  16. 99
  17. 10
  18. 26
  19. 24
  20. 20
  21. 29
  22. 19
  23. 40
  24. 23
  25. 58
  26. 34
  27. 19
  28. 44
  29. 7
  30. 57
  31. 89
  32. 11
  33. 35
  34. 44
  35. 39
  36. 25
  37. 19
  38. 63
  39. 17
  40. 25

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