About this worksheet

This free Year 6 finding unknown angles worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA6MMGTW4. It focuses on one skill and is full of hands-on activities where children shade, draw, label and complete diagrams. By the end, students can say “I can find unknown angles using right angles, straight lines, angles at a point and vertically opposite angles.”

What’s inside

• Key idea box – a short explanation with a worked, visual example to read before starting.
• A · Warm up (16 questions) – quick draw, shade and write practice to build confidence.
• B · Practise (9 questions) – worded problems in everyday Australian contexts, most with a diagram to work on.
• C · Think it through (5 questions) – explain your thinking: spot the mistake, true or false, always–sometimes–never, odd one out.
• D · Challenge (3 questions) – harder multi-step and problem-solving questions for students ready to stretch.
• Separate marking key – every answer with working, the correct shading and drawings shown in colour, and marking criteria for reasoning questions.

Skills covered

• Using angles in a right angle and on a straight line
• Using angles at a point adding to 360°
• Recognising that vertically opposite angles are equal

How to use this worksheet

Print the worksheet in black and white – all shading shows clearly in grey. Read the Key idea box together, then complete Section A. Most students should attempt Sections B and C; Section D suits students aiming high or preparing for extension and selective-entry maths. The worksheet is marked out of 56, and the score box on the last page shows which section needs more practice.

Common mistakes to watch for

• Using 360° for angles on a straight line
• Forgetting to subtract every known angle
• Thinking vertically opposite angles add to 180°
• Measuring with a protractor instead of calculating

Where this fits in the WA Year 6 sequence

Finding Unknown Angles sits in the Two-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 6 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

• Using 360° for angles on a straight line
• Forgetting to subtract every known angle
• Thinking vertically opposite angles add to 180°
• Measuring with a protractor instead of calculating