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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 483 · 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 228. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 175. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 34. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 54. What is the largest of them?
  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 8. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 140. What is the smaller number?
  11. 11.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?
  12. 12.The sum of two numbers is 42 and their difference is 18. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 27. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 44. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  22. 22.The sum of two numbers is 159 and their difference is 39. What is the smaller number?
  23. 23.The sum of two numbers is 83 and their difference is 53. What is the larger number?
  24. 24.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?
  25. 25.The sum of two numbers is 61 and their difference is 1. What is the larger number?
  26. 26.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 275. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 45 and their difference is 35. What is the larger number?
  32. 32.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 65 and their difference is 45. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 13. What is the smaller number?
  36. 36.The sum of two numbers is 175 and their difference is 7. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 95 and their difference is 37. What is the smaller number?
  40. 40.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?

Answer key

  1. 74
  2. 37
  3. 65
  4. 84
  5. 34
  6. 19
  7. 23
  8. 35
  9. 55
  10. 35
  11. 57
  12. 12
  13. 10
  14. 33
  15. 9
  16. 22
  17. 44
  18. 48
  19. 28
  20. 26
  21. 48
  22. 60
  23. 68
  24. 78
  25. 31
  26. 9
  27. 57
  28. 22
  29. 13
  30. 79
  31. 40
  32. 41
  33. 89
  34. 55
  35. 13
  36. 91
  37. 10
  38. 18
  39. 29
  40. 67

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