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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 751 · 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 even numbers is 220. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 100. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 88. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 50. What is the smaller number?
  7. 7.The sum of two numbers is 25 and their difference is 15. What is the larger number?
  8. 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of 4 consecutive numbers is 134. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 28. What is the smaller number?
  12. 12.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  15. 15.The sum of two numbers is 23 and their difference is 3. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of two numbers is 113 and their difference is 5. What is the larger number?
  20. 20.One number is 6 times another. Their difference is 95. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.One number is 3 times another. Their difference is 16. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 10. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 13. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 60. What is the smaller number?
  26. 26.The sum of two numbers is 84 and their difference is 80. What is the larger number?
  27. 27.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 120. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 11. What is the smaller number?
  32. 32.The sum of two numbers is 109 and their difference is 63. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  35. 35.The sum of two numbers is 13 and their difference is 7. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 171. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 18. What is the smaller number?
  40. 40.The sum of two numbers is 99 and their difference is 25. What is the smaller number?

Answer key

  1. 58
  2. 81
  3. 34
  4. 25
  5. 22
  6. 25
  7. 20
  8. 67
  9. 35
  10. 6
  11. 14
  12. 4
  13. 23
  14. 56
  15. 10
  16. 8
  17. 48
  18. 89
  19. 59
  20. 19
  21. 36
  22. 8
  23. 5
  24. 13
  25. 15
  26. 82
  27. 17
  28. 26
  29. 38
  30. 41
  31. 11
  32. 23
  33. 12
  34. 16
  35. 10
  36. 58
  37. 43
  38. 59
  39. 9
  40. 37

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