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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 652 · 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 4 consecutive numbers is 50. What is the largest of them?
  2. 2.The sum of two numbers is 69 and their difference is 23. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  4. 4.The sum of two numbers is 28 and their difference is 8. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 81. What is the largest of them?
  7. 7.The sum of two numbers is 50 and their difference is 4. What is the larger number?
  8. 8.The sum of two numbers is 148 and their difference is 12. What is the larger number?
  9. 9.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  13. 13.The sum of two numbers is 17 and their difference is 13. What is the larger number?
  14. 14.One number is 3 times another. Their difference is 76. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 57. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  24. 24.The sum of two numbers is 170 and their difference is 12. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 48. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 120. What is the smaller number?
  27. 27.The sum of two numbers is 35 and their difference is 9. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of two numbers is 125 and their difference is 1. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 36. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 104. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.One number is 2 times another. Their difference is 14. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 90. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 20. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?

Answer key

  1. 14
  2. 23
  3. 14
  4. 18
  5. 11
  6. 28
  7. 27
  8. 80
  9. 9
  10. 68
  11. 48
  12. 23
  13. 15
  14. 38
  15. 7
  16. 45
  17. 42
  18. 19
  19. 25
  20. 19
  21. 22
  22. 69
  23. 56
  24. 91
  25. 17
  26. 24
  27. 13
  28. 12
  29. 62
  30. 43
  31. 51
  32. 43
  33. 12
  34. 12
  35. 26
  36. 58
  37. 14
  38. 30
  39. 4
  40. 41

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