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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 924 · 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 3 consecutive even numbers is 78. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 6. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 242. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  6. 6.The sum of two numbers is 53 and their difference is 9. What is the larger number?
  7. 7.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?
  8. 8.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?
  9. 9.The sum of 4 consecutive numbers is 54. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 57. What is the largest of them?
  11. 11.The sum of two numbers is 130 and their difference is 22. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 102. What is the largest of them?
  14. 14.The sum of two numbers is 101 and their difference is 91. What is the smaller number?
  15. 15.The sum of two numbers is 46 and their difference is 6. What is the larger number?
  16. 16.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 36. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 30. What is the largest of them?
  19. 19.The sum of two numbers is 179 and their difference is 17. What is the larger number?
  20. 20.The sum of two numbers is 73 and their difference is 49. What is the larger number?
  21. 21.The sum of two numbers is 80 and their difference is 44. What is the larger number?
  22. 22.The sum of two numbers is 82 and their difference is 56. What is the larger number?
  23. 23.The sum of two numbers is 88 and their difference is 38. What is the larger number?
  24. 24.One number is 2 times another. Their difference is 3. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 42. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 80. What is the largest of them?
  31. 31.The sum of two numbers is 73 and their difference is 33. What is the smaller number?
  32. 32.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?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  35. 35.The sum of two numbers is 57 and their difference is 13. What is the larger number?
  36. 36.One number is 3 times another. Their difference is 38. What is the smaller number?
  37. 37.The sum of two numbers is 65 and their difference is 1. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 34. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 95. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 186. What is the smallest of them?

Answer key

  1. 28
  2. 3
  3. 62
  4. 27
  5. 41
  6. 31
  7. 23
  8. 89
  9. 15
  10. 20
  11. 76
  12. 73
  13. 35
  14. 5
  15. 26
  16. 14
  17. 12
  18. 11
  19. 98
  20. 61
  21. 62
  22. 69
  23. 63
  24. 3
  25. 15
  26. 48
  27. 26
  28. 39
  29. 46
  30. 18
  31. 20
  32. 48
  33. 28
  34. 22
  35. 35
  36. 19
  37. 32
  38. 34
  39. 21
  40. 60

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