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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 438 · 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 30 and their difference is 14. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 56. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 144. What is the smaller number?
  4. 4.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?
  5. 5.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?
  6. 6.One number is 4 times another. Their difference is 36. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 90. What is the smaller number?
  8. 8.The sum of two numbers is 19 and their difference is 13. What is the smaller number?
  9. 9.The sum of two numbers is 16 and their difference is 10. What is the larger number?
  10. 10.The sum of two numbers is 97 and their difference is 37. What is the larger number?
  11. 11.The sum of 4 consecutive numbers is 102. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  13. 13.The sum of two numbers is 53 and their difference is 3. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 135. What is the largest of them?
  15. 15.The sum of two numbers is 23 and their difference is 13. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 226. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 31. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 15. What is the smaller number?
  20. 20.The sum of two numbers is 78 and their difference is 50. What is the smaller number?
  21. 21.One number is 5 times another. Their difference is 100. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 105. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 125. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  29. 29.The sum of two numbers is 68 and their difference is 12. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 34. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  35. 35.The sum of two numbers is 91 and their difference is 69. What is the larger number?
  36. 36.The sum of two numbers is 68 and their difference is 2. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  39. 39.The sum of two numbers is 22 and their difference is 16. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 8
  2. 28
  3. 36
  4. 89
  5. 69
  6. 12
  7. 18
  8. 3
  9. 13
  10. 67
  11. 27
  12. 14
  13. 25
  14. 46
  15. 18
  16. 58
  17. 23
  18. 31
  19. 5
  20. 14
  21. 25
  22. 36
  23. 60
  24. 25
  25. 26
  26. 43
  27. 25
  28. 23
  29. 28
  30. 22
  31. 17
  32. 24
  33. 9
  34. 10
  35. 80
  36. 33
  37. 79
  38. 63
  39. 19
  40. 3

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