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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 593 · 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 54. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 62. What is the smaller number?
  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 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?
  6. 6.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  13. 13.The sum of two numbers is 79 and their difference is 19. What is the smaller number?
  14. 14.The sum of two numbers is 50 and their difference is 2. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 154. What is the largest of them?
  16. 16.The sum of two numbers is 115 and their difference is 37. What is the larger number?
  17. 17.The sum of two numbers is 28 and their difference is 10. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 27. What is the smaller number?
  20. 20.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  21. 21.The sum of two numbers is 92 and their difference is 40. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  26. 26.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?
  27. 27.One number is 3 times another. Their difference is 26. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  31. 31.The sum of two numbers is 100 and their difference is 38. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 170. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 40. What is the smaller number?
  35. 35.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?
  36. 36.One number is 3 times another. Their difference is 78. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  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. 16
  2. 46
  3. 31
  4. 68
  5. 78
  6. 15
  7. 48
  8. 80
  9. 52
  10. 22
  11. 60
  12. 7
  13. 30
  14. 24
  15. 40
  16. 76
  17. 9
  18. 18
  19. 27
  20. 9
  21. 26
  22. 46
  23. 14
  24. 41
  25. 37
  26. 37
  27. 13
  28. 37
  29. 89
  30. 67
  31. 69
  32. 34
  33. 81
  34. 40
  35. 24
  36. 39
  37. 53
  38. 44
  39. 12
  40. 67

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