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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 20 · 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 odd numbers is 72. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 32. What is the smaller number?
  3. 3.The sum of two numbers is 47 and their difference is 29. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  7. 7.The sum of two numbers is 80 and their difference is 62. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  12. 12.The sum of two numbers is 96 and their difference is 14. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 50. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  16. 16.The sum of two numbers is 36 and their difference is 2. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  19. 19.The sum of two numbers is 76 and their difference is 42. What is the smaller number?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The sum of 4 consecutive numbers is 146. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 66. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 106. What is the largest of them?
  28. 28.One number is 6 times another. Their difference is 195. What is the smaller number?
  29. 29.The sum of two numbers is 50 and their difference is 40. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  32. 32.One number is 4 times another. Their difference is 96. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 80. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 30. What is the smaller number?
  35. 35.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?
  36. 36.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.One number is 5 times another. Their difference is 72. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 27. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 100. What is the smaller number?
  40. 40.The sum of two numbers is 133 and their difference is 37. What is the smaller number?

Answer key

  1. 21
  2. 16
  3. 9
  4. 36
  5. 59
  6. 62
  7. 9
  8. 20
  9. 27
  10. 78
  11. 35
  12. 55
  13. 25
  14. 18
  15. 31
  16. 17
  17. 56
  18. 5
  19. 17
  20. 67
  21. 37
  22. 38
  23. 23
  24. 22
  25. 75
  26. 11
  27. 28
  28. 39
  29. 45
  30. 55
  31. 19
  32. 32
  33. 16
  34. 6
  35. 89
  36. 49
  37. 18
  38. 27
  39. 20
  40. 48

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