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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 505 · 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 5 consecutive numbers is 250. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 63. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 104. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 195. What is the largest of them?
  8. 8.The sum of two numbers is 58 and their difference is 38. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  13. 13.The sum of two numbers is 136 and their difference is 44. What is the larger number?
  14. 14.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of two numbers is 29 and their difference is 1. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 14. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  19. 19.The sum of two numbers is 47 and their difference is 13. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 265. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  23. 23.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?
  24. 24.One number is 3 times another. Their difference is 28. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 220. What is the largest of them?
  26. 26.The sum of two numbers is 139 and their difference is 1. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 180. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 46. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 148. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  34. 34.The sum of two numbers is 171 and their difference is 11. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 48. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 225. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 78. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 35. What is the smallest of them?

Answer key

  1. 48
  2. 80
  3. 22
  4. 68
  5. 6
  6. 26
  7. 41
  8. 10
  9. 49
  10. 32
  11. 79
  12. 47
  13. 90
  14. 12
  15. 34
  16. 15
  17. 14
  18. 57
  19. 17
  20. 28
  21. 55
  22. 56
  23. 56
  24. 14
  25. 46
  26. 69
  27. 24
  28. 61
  29. 23
  30. 48
  31. 37
  32. 42
  33. 67
  34. 91
  35. 17
  36. 47
  37. 21
  38. 58
  39. 8
  40. 5

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