Grade 12 Algorithm Efficiency (Big-O) Worksheet with Answers
Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Computer Science
Unit 1: AlgorithmsEfficiencyCSTA 3B-AP-11
Comparing how the number of steps grows: O(1), O(log n), O(n) and O(n²). This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Algorithm Efficiency (Big-O)
Grade 12 · Computer Science
Name
Class
Date
Learning goal: Efficiency · CSTA 3B-AP-11
Directions: Read each question carefully and write your answer on the line. Use the diagram to help you.
RememberHow fast do steps grow?
- 1
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 2
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 3
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 4
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 5
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 6
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 7
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 8
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 9
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 10
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 11
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
- 12
What is the time complexity of this code? Choose O(1), O(log n), O(n) or O(n²).
★ Challenge corner for fast finishers
In a list of every 2-bit pattern, how many patterns have exactly one 1?
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Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/computer/12/big_o
Answer key — Algorithm Efficiency (Big-O) (Grade 12)
- 1.O(1)
- 2.O(n)
- 3.O(n)
- 4.O(log n)
- 5.O(n²)
- 6.O(n²)
- 7.O(1)
- 8.O(log n)
- 9.O(n)
- 10.O(n²)
- 11.O(n²)
- 12.O(log n)
- ★2
Answer key (click to show)
- 1.O(1)
- 2.O(n)
- 3.O(n)
- 4.O(log n)
- 5.O(n²)
- 6.O(n²)
- 7.O(1)
- 8.O(log n)
- 9.O(n)
- 10.O(n²)
- 11.O(n²)
- 12.O(log n)
- ★2 (challenge corner)
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