FreeMathWorksheet
Worksheet · TN-CSCI-AP-30096 · v3.2

Core Rules of Algorithms — Holiday Practice

A single-focus worksheet on core rules of algorithms for AP Computer Science. Nothing else from algorithms is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

FoundationCommon Core20 min37 marksAnswers included

Low-pressure spaced practice across the break.

Grade

AP

Subject

Computer Science

Topic

Algorithms

Subtopic

Core Rules of Algorithms

Curriculum

Common Core

Difficulty

Foundation

Time

20 min

Questions

20

Total marks

37

Worksheet ID

TN-CSCI-AP-30096

Version

v3.2

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink
FreeMathWorksheet

Holiday Practice

TN-CSCI-AP-30096 · v3.2

Core Rules of Algorithms

AP · Computer Science · Algorithms · Common Core

Grade

AP

Subject

Computer Science

Topic

Algorithms

Subtopic

Core Rules of Algorithms

Curriculum

Common Core

Difficulty

Foundation

Time

20 minutes

Total marks

37

Student name

Teacher name

Date

Learning objectives

  • Recognise core rules of algorithms accurately in computer science contexts.
  • Explain the underlying rule of core rules of algorithms in the student's own words.
  • Apply core rules of 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 20 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 2 marks

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

  1. 1.Write down one fact you already know about core rules of algorithms.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Write down one fact you already know about core rules of algorithms.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

Recall

Bloom: Remember · 2 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in core rules of algorithms described here: item 1.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Define the key term used in core rules of algorithms described here: item 2.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 1 of 6

FreeMathWorksheet · AP Computer Science

Core Rules of Algorithms

Basic Practice

Bloom: Understand · 3 marks

Work through each item. Show the step you used.

  1. 1.Identify part 1 using the rule for core rules of algorithms.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Work out part 2 using the rule for core rules of algorithms.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  3. 3.Complete part 3 using the rule for core rules of algorithms.

    [1]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

Guided Practice

Bloom: Understand · 4 marks

The first step is given. Finish the reasoning.

  1. 1.Complete the method for part 1. Step 1 has been started for you.

    [2]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

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

    [2]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

Independent Practice

Bloom: Apply · 6 marks

No scaffolding. Set out your full method.

  1. 1.Solve part 1 on core rules of algorithms without help.

    [2]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Determine part 2 on core rules of algorithms without help.

    [2]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  3. 3.Solve part 3 on core rules of algorithms without help.

    [2]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 2 of 6

FreeMathWorksheet · AP Computer Science

Core Rules of Algorithms

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about core rules of algorithms.

    [3]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Prove the statement in part 2 about core rules of algorithms.

    [3]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

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 core rules of algorithms.

    [3]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Apply a real computer science situation that depends on core rules of algorithms.

    [3]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for core rules of algorithms is or is not efficient.

    [4]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

  2. 2.Compare and justify a student's method for core rules of algorithms is or is not efficient.

    [4]

    AnswerAccept any correct response that applies the core rules of algorithms rule accurately.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 3 of 6

FreeMathWorksheet · AP Computer Science

Core Rules of Algorithms

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with core rules of algorithms and what you will practise next.

    [—]

    AnswerStudent response — not marked.

  2. 2.Reflect on how confident you feel with core rules of algorithms and what you will practise next.

    [—]

    AnswerStudent response — not marked.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 4 of 6

FreeMathWorksheet

Answer key · Core Rules of Algorithms

Warm-up

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Recall

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Basic Practice

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the core rules of algorithms rule accurately.[1]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Guided Practice

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[2]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[2]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Independent Practice

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[2]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[2]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  3. 3.Accept any correct response that applies the core rules of algorithms rule accurately.[2]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Challenge Questions

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[3]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[3]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Real-life Application

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[3]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[3]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Critical Thinking

  1. 1.Accept any correct response that applies the core rules of algorithms rule accurately.[4]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Accept any correct response that applies the core rules of algorithms rule accurately.[4]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

Reflection

  1. 1.Student response — not marked.[0]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.
  2. 2.Student response — not marked.[0]

    1. Recall the definition that underpins core rules of algorithms.
    2. Apply it to the values or wording given in the question.
    3. State the final answer clearly, with units or terminology where relevant.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 5 of 6

FreeMathWorksheet

Teacher pack · Core Rules of Algorithms

Marking scheme

BandMarksDescriptor
Mastered31–37Applies core rules of algorithms fluently, including in unfamiliar contexts, with clear justification.
Secure24–30Reliable in routine questions; reasoning is mostly complete.
Developing15–23Secure in scaffolded items, inconsistent once support is removed.
Emerging0–14Needs re-teaching of the core rule before progressing.

Teacher notes

  • Set the warm-up as a five-minute starter; it diagnoses readiness for core rules of algorithms before you teach.
  • Guided practice is the pivot point — circulate here rather than during independent practice.
  • Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
  • Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Algorithms.

Common student mistakes

  • Confusing core rules of algorithms with a neighbouring idea in algorithms.

Teaching tips

  • Model one worked example of core rules of algorithms under a visualiser before handing the sheet out.
  • Ask students to predict which question they will find hardest, then check the prediction afterwards.
  • Pair Developing students with Secure students for the guided practice block only.
  • Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

  • Challenge worksheet on core rules of algorithms with justification-only questions.
  • Design your own core rules of algorithms question and write the mark scheme for it.
  • Link core rules of algorithms to the next subtopic in Algorithms and explain the connection.
  • Ten-minute timed practice to convert accuracy into fluency.

FreeMathWorksheet · TN-CSCI-AP-30096 · v3.2

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

Page 6 of 6

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to AP, and every rung stays on core rules of algorithms only.

  1. 01Warm-up

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

    Remember2 questions2 marks
  2. 02Recall

    Complete from memory. No calculator, no notes.

    Remember2 questions2 marks
  3. 03Basic Practice

    Work through each item. Show the step you used.

    Understand3 questions3 marks
  4. 04Guided Practice

    The first step is given. Finish the reasoning.

    Understand2 questions4 marks
  5. 05Independent Practice

    No scaffolding. Set out your full method.

    Apply3 questions6 marks
  6. 06Challenge Questions

    Harder items. Attempt every one, even partially.

    Analyse2 questions6 marks
  7. 07Real-life Application

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

    Apply2 questions6 marks
  8. 08Critical Thinking

    Explain your reasoning in full sentences.

    Evaluate2 questions8 marks
  9. 09Reflection

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

    Create2 questions0 marks

Answer key & solutions

Every worksheet auto-generates a complete key with step-by-step solutions, the marking scheme and teacher notes. It prints as separate pages so the student copy stays clean.

Teacher notes

  • Set the warm-up as a five-minute starter; it diagnoses readiness for core rules of algorithms before you teach.
  • Guided practice is the pivot point — circulate here rather than during independent practice.
  • Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
  • Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Algorithms.

Common student mistakes

  • Confusing core rules of algorithms with a neighbouring idea in algorithms.

Teaching tips

  • Model one worked example of core rules of algorithms under a visualiser before handing the sheet out.
  • Ask students to predict which question they will find hardest, then check the prediction afterwards.
  • Pair Developing students with Secure students for the guided practice block only.
  • Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

  • Challenge worksheet on core rules of algorithms with justification-only questions.
  • Design your own core rules of algorithms question and write the mark scheme for it.
  • Link core rules of algorithms to the next subtopic in Algorithms and explain the connection.
  • Ten-minute timed practice to convert accuracy into fluency.

Switch version

Same subtopic · same objectives · different job

Frequently asked

What exactly is in the download?
A 20-question, 37-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-CSCI-AP-30096, version v3.2 and a QR code back to this page.
Does it print correctly on US Letter?
Yes. Switch paper size in the download panel — margins and typography are identical, so nothing reflows or clips.
Is the answer key included?
This version prints answers inline, followed by the full solutions and teacher pack pages.

Related resources

Tutoring

Work through core rules of algorithms with a tutor after marking this sheet.

Book a tutor