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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 280 · 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 56. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 295. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 3. What is the smaller number?
  9. 9.The sum of two numbers is 135 and their difference is 31. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 45. What is the smaller number?
  11. 11.The sum of two numbers is 52 and their difference is 28. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 115. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  16. 16.One number is 4 times another. Their difference is 60. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  19. 19.The sum of two numbers is 53 and their difference is 1. What is the larger number?
  20. 20.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?
  21. 21.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  22. 22.One number is 4 times another. Their difference is 36. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 195. What is the smaller number?
  24. 24.The sum of two numbers is 65 and their difference is 33. What is the larger number?
  25. 25.The sum of two numbers is 23 and their difference is 1. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  27. 27.The sum of two numbers is 53 and their difference is 9. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 30. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 5 consecutive numbers is 225. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The sum of 5 consecutive numbers is 150. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 40. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  36. 36.The sum of two numbers is 38 and their difference is 16. What is the larger number?
  37. 37.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 16. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 17
  2. 27
  3. 11
  4. 17
  5. 39
  6. 61
  7. 39
  8. 3
  9. 52
  10. 9
  11. 40
  12. 7
  13. 25
  14. 54
  15. 44
  16. 20
  17. 5
  18. 55
  19. 27
  20. 19
  21. 11
  22. 12
  23. 39
  24. 49
  25. 12
  26. 79
  27. 22
  28. 11
  29. 57
  30. 47
  31. 28
  32. 45
  33. 32
  34. 20
  35. 12
  36. 27
  37. 31
  38. 4
  39. 19
  40. 24

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