What exactly is in the download?

A 37-question, 64-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-A-LVL-95333, version v2.-6 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.

Worksheet · TN-MATH-A-LVL-95333 · v2.-6

Properties of Triangles — Full Practice

A single-focus worksheet on properties of triangles for A Level Math. Nothing else from geometry is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

MixedOCR50 min64 marksNo answers on sheet

Every stage of the ladder at full length.

Grade

A Level

Subject

Math

Topic

Geometry

Subtopic

Properties of Triangles

Curriculum

OCR

Difficulty

Mixed

Time

50 min

Questions

Total marks

Worksheet ID

TN-MATH-A-LVL-95333

Version

v2.-6

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink

FreeMathWorksheet

Full Practice

TN-MATH-A-LVL-95333 · v2.-6

Properties of Triangles

A Level · Math · Geometry · OCR

Grade

A Level

Subject

Math

Topic

Geometry

Subtopic

Properties of Triangles

Curriculum

OCR

Difficulty

Mixed

Time

50 minutes

Total marks

Student name

Teacher name

Date

Learning objectives

Recognise properties of triangles accurately in math contexts.
Explain the underlying rule of properties of triangles in the student's own words.
Apply properties of triangles 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

Write your name, your teacher's name and the date in the header.
Answer every question in the space provided. Continue on the back if needed.
Show all working — method marks are awarded even when the final answer is wrong.
Aim to finish in about 50 minutes.
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.Name one fact you already know about properties of triangles.
[1]
2.State one fact you already know about properties of triangles.
[1]
3.State one fact you already know about properties of triangles.
[1]
4.Write down one fact you already know about properties of triangles.
[1]
5.Circle one fact you already know about properties of triangles.
[1]

FreeMathWorksheet · A Level Math

Properties of Triangles

Recall

Bloom: Remember · 5 marks

Complete from memory. No calculator, no notes.

1.Label the key term used in properties of triangles described here: item 1.
[1]
2.Complete the key term used in properties of triangles described here: item 2.
[1]
3.Label the key term used in properties of triangles described here: item 3.
[1]
4.Define the key term used in properties of triangles described here: item 4.
[1]
5.Label the key term used in properties of triangles described here: item 5.
[1]

Basic Practice

Bloom: Understand · 6 marks

Work through each item. Show the step you used.

1.Work out part 1 using the rule for properties of triangles.
[1]
2.Identify part 2 using the rule for properties of triangles.
[1]
3.Identify part 3 using the rule for properties of triangles.
[1]
4.Complete part 4 using the rule for properties of triangles.
[1]
5.Identify part 5 using the rule for properties of triangles.
[1]
6.Work out part 6 using the rule for properties of triangles.
[1]

FreeMathWorksheet · A Level Math

Properties of Triangles

Guided Practice

Bloom: Understand · 10 marks

The first step is given. Finish the reasoning.

1.Using the first step given, finish part 1. Step 1 has been started for you.
[2]
2.Using the first step given, finish part 2. Step 1 has been started for you.
[2]
3.Using the first step given, finish part 3. Step 1 has been started for you.
[2]
4.Complete the method for part 4. Step 1 has been started for you.
[2]
5.Complete the method for part 5. Step 1 has been started for you.
[2]

Independent Practice

Bloom: Apply · 12 marks

No scaffolding. Set out your full method.

1.Solve part 1 on properties of triangles without help.
[2]
2.Work out fully part 2 on properties of triangles without help.
[2]
3.Determine part 3 on properties of triangles without help.
[2]
4.Work out fully part 4 on properties of triangles without help.
[2]
5.Determine part 5 on properties of triangles without help.
[2]
6.Calculate part 6 on properties of triangles without help.
[2]

FreeMathWorksheet · A Level Math

Properties of Triangles

Challenge Questions

Bloom: Analyse · 12 marks

Harder items. Attempt every one, even partially.

1.Find and justify the statement in part 1 about properties of triangles.
[3]
2.Find and justify the statement in part 2 about properties of triangles.
[3]
3.Deduce the statement in part 3 about properties of triangles.
[3]
4.Find and justify the statement in part 4 about properties of triangles.
[3]

Real-life Application

Bloom: Apply · 6 marks

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

1.In context, work out a real math situation that depends on properties of triangles.
[3]
2.In context, work out a real math situation that depends on properties of triangles.
[3]

FreeMathWorksheet · A Level Math

Properties of Triangles

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

1.Explain why a student's method for properties of triangles is or is not efficient.
[4]
2.Evaluate whether a student's method for properties of triangles is or is not efficient.
[4]

Reflection

Bloom: Create · 0 marks

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

1.Describe how confident you feel with properties of triangles and what you will practise next.
[—]
2.Record how confident you feel with properties of triangles and what you will practise next.
[—]

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to A Level, and every rung stays on properties of triangles only.

01Warm-up
Answer quickly. These check you are ready for the topic.
Remember5 questions5 marks
02Recall
Complete from memory. No calculator, no notes.
Remember5 questions5 marks
03Basic Practice
Work through each item. Show the step you used.
Understand6 questions6 marks
04Guided Practice
The first step is given. Finish the reasoning.
Understand5 questions10 marks
05Independent Practice
No scaffolding. Set out your full method.
Apply6 questions12 marks
06Challenge Questions
Harder items. Attempt every one, even partially.
Analyse4 questions12 marks
07Real-life Application
Use the skill in context. State units in your answer.
Apply2 questions6 marks
08Critical Thinking
Explain your reasoning in full sentences.
Evaluate2 questions8 marks
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 properties of triangles 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 Geometry.

Common student mistakes

Confusing properties of triangles with a neighbouring idea in geometry.

Teaching tips

Model one worked example of properties of triangles 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 properties of triangles with justification-only questions.
Design your own properties of triangles question and write the mark scheme for it.
Link properties of triangles to the next subtopic in Geometry 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 37-question, 64-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-A-LVL-95333, version v2.-6 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.

Related resources

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