FreeMathWorksheet
Worksheet · TN-MATH-GR2-24625 · v1.-4

Factorising — Exam Style

A single-focus worksheet on factorising for Grade 2 Math. Nothing else from algebra is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

HigherCollege Board (AP/SAT)45 min16 marksNo answers on sheet

Board-styled command words and mark allocations.

Grade

Grade 2

Subject

Math

Topic

Algebra

Subtopic

Factorising

Curriculum

College Board (AP/SAT)

Difficulty

Higher

Time

45 min

Questions

15

Total marks

16

Worksheet ID

TN-MATH-GR2-24625

Version

v1.-4

Format

A4 · US Letter

Preview & download

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

Exam Style

TN-MATH-GR2-24625 · v1.-4

Factorising

Grade 2 · Math · Algebra · College Board (AP/SAT)

Grade

Grade 2

Subject

Math

Topic

Algebra

Subtopic

Factorising

Curriculum

College Board (AP/SAT)

Difficulty

Higher

Time

45 minutes

Total marks

16

Student name

Teacher name

Date

Learning objectives

  • Recognise factorising accurately in math contexts.
  • Explain the underlying rule of factorising in the student's own words.
  • Apply factorising 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 45 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 3 marks

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

  1. 1.Write down one fact you already know about factorising.

    [1]
  2. 2.State one fact you already know about factorising.

    [1]
  3. 3.Write down one fact you already know about factorising.

    [1]

Recall

Bloom: Remember · 3 marks

Complete from memory. No calculator, no notes.

  1. 1.List the key term used in factorising described here: item 1.

    [1]
  2. 2.Label the key term used in factorising described here: item 2.

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

    [1]

FreeMathWorksheet · TN-MATH-GR2-24625 · v1.-4

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

Page 1 of 2

FreeMathWorksheet · Grade 2 Math

Factorising

Basic Practice

Bloom: Understand · 4 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for factorising.

    [1]
  2. 2.Complete part 2 using the rule for factorising.

    [1]
  3. 3.Match part 3 using the rule for factorising.

    [1]
  4. 4.Complete part 4 using the rule for factorising.

    [1]

Guided Practice

Bloom: Understand · 6 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.Using the first step given, finish 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]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with factorising and what you will practise next.

    [—]
  2. 2.Describe how confident you feel with factorising and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR2-24625 · v1.-4

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

Page 2 of 2

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to Grade 2, and every rung stays on factorising only.

  1. 01Warm-up

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

    Remember3 questions3 marks
  2. 02Recall

    Complete from memory. No calculator, no notes.

    Remember3 questions3 marks
  3. 03Basic Practice

    Work through each item. Show the step you used.

    Understand4 questions4 marks
  4. 04Guided Practice

    The first step is given. Finish the reasoning.

    Understand3 questions6 marks
  5. 05Reflection

    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 factorising 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 Algebra.

Common student mistakes

  • Confusing factorising with a neighbouring idea in algebra.

Teaching tips

  • Model one worked example of factorising 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 factorising with justification-only questions.
  • Design your own factorising question and write the mark scheme for it.
  • Link factorising to the next subtopic in Algebra 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 15-question, 16-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-GR2-24625, version v1.-4 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?
The student copy prints clean. Toggle answers on to append the answer key, marking scheme and teacher pack.

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