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TN-CSCI-GRE-22655 · v2.-1

Applying Algorithms

GRE · Computer Science · Algorithms · College Board (AP/SAT)

Grade

GRE

Subject

Computer Science

Topic

Algorithms

Subtopic

Applying Algorithms

Curriculum

College Board (AP/SAT)

Difficulty

Mixed

Time

50 minutes

Total marks

64

Student name

Teacher name

Date

Learning objectives

  • Recognise applying algorithms accurately in computer science contexts.
  • Explain the underlying rule of applying algorithms in the student's own words.
  • Apply applying algorithms to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 50 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 5 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Name one fact you already know about applying algorithms.

    [1]
  2. 2.Circle one fact you already know about applying algorithms.

    [1]
  3. 3.Circle one fact you already know about applying algorithms.

    [1]
  4. 4.Write down one fact you already know about applying algorithms.

    [1]
  5. 5.Write down one fact you already know about applying algorithms.

    [1]

FreeMathWorksheet · TN-CSCI-GRE-22655 · v2.-1

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 5

FreeMathWorksheet · GRE Computer Science

Applying Algorithms

Recall

Bloom: Remember · 5 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in applying algorithms described here: item 1.

    [1]
  2. 2.Define the key term used in applying algorithms described here: item 2.

    [1]
  3. 3.Define the key term used in applying algorithms described here: item 3.

    [1]
  4. 4.Complete the key term used in applying algorithms described here: item 4.

    [1]
  5. 5.Define the key term used in applying algorithms described here: item 5.

    [1]

Basic Practice

Bloom: Understand · 6 marks

Work through each item. Show the step you used.

  1. 1.Work out part 1 using the rule for applying algorithms.

    [1]
  2. 2.Complete part 2 using the rule for applying algorithms.

    [1]
  3. 3.Identify part 3 using the rule for applying algorithms.

    [1]
  4. 4.Identify part 4 using the rule for applying algorithms.

    [1]
  5. 5.Match part 5 using the rule for applying algorithms.

    [1]
  6. 6.Identify part 6 using the rule for applying algorithms.

    [1]

FreeMathWorksheet · TN-CSCI-GRE-22655 · v2.-1

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 5

FreeMathWorksheet · GRE Computer Science

Applying Algorithms

Guided Practice

Bloom: Understand · 10 marks

The first step is given. Finish the reasoning.

  1. 1.Continue the working for part 1. Step 1 has been started for you.

    [2]
  2. 2.Continue the working for part 2. Step 1 has been started for you.

    [2]
  3. 3.Using the first step given, finish part 3. Step 1 has been started for you.

    [2]
  4. 4.Continue the working for part 4. Step 1 has been started for you.

    [2]
  5. 5.Using the first step given, finish part 5. Step 1 has been started for you.

    [2]

Independent Practice

Bloom: Apply · 12 marks

No scaffolding. Set out your full method.

  1. 1.Work out fully part 1 on applying algorithms without help.

    [2]
  2. 2.Calculate part 2 on applying algorithms without help.

    [2]
  3. 3.Work out fully part 3 on applying algorithms without help.

    [2]
  4. 4.Work out fully part 4 on applying algorithms without help.

    [2]
  5. 5.Work out fully part 5 on applying algorithms without help.

    [2]
  6. 6.Calculate part 6 on applying algorithms without help.

    [2]

FreeMathWorksheet · TN-CSCI-GRE-22655 · v2.-1

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 5

FreeMathWorksheet · GRE Computer Science

Applying Algorithms

Challenge Questions

Bloom: Analyse · 12 marks

Harder items. Attempt every one, even partially.

  1. 1.Find and justify the statement in part 1 about applying algorithms.

    [3]
  2. 2.Prove the statement in part 2 about applying algorithms.

    [3]
  3. 3.Prove the statement in part 3 about applying algorithms.

    [3]
  4. 4.Deduce the statement in part 4 about applying algorithms.

    [3]

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.Apply a real computer science situation that depends on applying algorithms.

    [3]
  2. 2.Apply a real computer science situation that depends on applying algorithms.

    [3]

FreeMathWorksheet · TN-CSCI-GRE-22655 · v2.-1

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

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FreeMathWorksheet · GRE Computer Science

Applying Algorithms

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for applying algorithms is or is not efficient.

    [4]
  2. 2.Evaluate whether a student's method for applying algorithms is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Reflect on how confident you feel with applying algorithms and what you will practise next.

    [—]
  2. 2.Record how confident you feel with applying algorithms and what you will practise next.

    [—]

FreeMathWorksheet · TN-CSCI-GRE-22655 · v2.-1

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 5 of 5