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Interior and exterior angles in regular polygons worksheet (with solutions)

Interior and exterior angles in regular polygons worksheet (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

16 August 2026

pdf, 79.18 KB
pdf, 79.18 KB

A worksheet on calculating the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons. Detailed solutions are provided.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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GCSE Maths Geometry Worksheets Bundle Angles, Polygons & Area Review

A bundle of 10 worksheets (with detailed solutions) on Geometry topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Angles in parallel lines * Complementary, supplementary and opposite angles * Sum of angles in a triangle * Interior and exterior angles in regular polygons * Units of measurement for area and volume * Area of trapezium * Circumference and area of a circle * Area and volume of a sphere * Volume and surface area of a cone * Density The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory. Save hours of lesson planning with this comprehensive GCSE Maths Geometry Worksheets Bundle! This ready-to-print resource features high-quality practice packets covering angles in parallel lines, interior/exterior angles of polygons, area calculations, and metric unit conversions. Complete with full, step-by-step answer keys, it is ideal for GCSE exam preparation, homework assignments, or structured revision lessons. ________________________________________ Stop spending your evenings drawing geometry diagrams and creating keys from scratch. Give your students the targeted practice they need to master shapes and angles! This GCSE Maths Geometry Revision Pack contains structured worksheet modules packed with scaffolded practice questions. It targets the essential, high-yield topics that secondary students struggle with most on their final exams, making it perfect for both Foundation and Higher tier classes across Years 9, 10, and 11. Every single packet includes fully worked solutions, allowing you to mark papers in seconds or hand them directly to students for effortless self-assessment and independent revision. ________________________________________ **What Topics Are Covered in This Pack?** • **Angles in Parallel Lines:** Master the rules of alternate, corresponding, co-interior, and vertically opposite angles. • **Angle Relationships:** Multi-step algebraic equations using complementary, supplementary, and vertically opposite properties. • **Angles in Triangles:** Practice calculating missing interior sums and missing variables in diverse triangle types. • **Angles in Regular Polygons:** Finding individual interior/exterior angles, interior angle sums, and calculating the number of sides. • **Area of Quadrilaterals:** Practice applying formulas to find the area of regular and irregular quadrilaterals. • **Units of Measurement for Area & Volume:** Converting safely between square and cubic metric units (such as m² to cm² or cm³ to mm³). ________________________________________ **Why Teachers Love This Resource:** • **100% Zero Prep:** Just click download, print your pages, and you are ready to teach. • **Clear, Clean Diagrams:** Professionally rendered shape visuals that display text measurements cleanly. • **Highly Scaffolded:** Questions gently increase in difficulty to build student confidence and algebraic problem-solving skills. • **Versatile Implementation:** Ideal for weekly homework tasks, emergency cover lessons, end-of-unit review packets, or classroom intervention sheets. ________________________________________ **Curriculum Alignment:** • **Key Stage:** Key Stage 4 (KS4) Geometry and Measures, Year 10 and Year 11 Exam Preparation. • **Exam Boards:** Fully aligned with the current GCSE (9-1) specifications for AQA, Edexcel, OCR, and Cambridge iGCSE. ________________________________________

£7.90
Bundle

Interior and Exterior Angles in Triangles & Polygons Geometry Worksheets

A collection of three worksheets on the following topics: * Sum of angles in a triangle: a worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees * Exterior Angles of a Triangle: a worksheet on the exterior angles of a triangle. The exercises require to use the fact that an exterior angle of a triangle is equal to the sum of the two interior opposite angles. * Interior and exterior angles in regular polygons: a worksheet on calculate the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons. Detailed solutions are provided. Master interior and exterior angles with this comprehensive, ready-to-print geometry maths worksheet bundle! Perfect for KS3, KS4, and GCSE Maths classrooms, this 3-resource collection includes fully worked step-by-step solutions to save you valuable marking time. ________________________________________ Help your secondary maths students conquer geometric properties with this no-prep angles in triangles and polygons worksheet bundle! This collection features three carefully scaffolded, rigorous resources designed to take students from foundational angle rules to advanced multi-step geometric problem-solving. Whether you need targeted homework assignments, no-prep cover plans, extension tasks, or comprehensive exam revision, these printable activities provide clear, structured practice that fits seamlessly into any secondary school maths curriculum. **What’s Included in This Bundle?** This cost-saving bundle contains three complete worksheets, each including its own detailed, step-by-step fully worked solutions: **1. Sum of Angles in a Triangle Worksheet** o 10 multi-step problems calculating missing interior angles. o Promotes algebraic setup to find unknown variables. **2. Exterior Angle Theorem Worksheet** o 6 scaffolded questions applying the exterior angle rule. o Includes challenging application problems involving isosceles and equilateral triangles. **3. Interior and Exterior Angles in Regular Polygons Worksheet** o 13 advanced questions focusing on regular polygon properties. o Covers finding interior angle sums, individual interior/exterior angles, and determining the number of sides of polygons (ranging from pentagons to 36-gons). **Core Skills Covered:** • Applying the triangle angle sum rule (interior angles add up to 180 degrees). • Utilizing the exterior angle theorem to solve geometric diagrams. • Working with angles on a straight line and supplementary linear pairs. • Calculating interior and exterior angle measures for various regular polygons using standard geometric formulas. • Formulating and solving multi-step algebraic equations based on visual geometric properties. **Perfect For:** • Key Stage 3 (KS3) Math Classes (Years 7–9) • Key Stage 4 (KS4) & GCSE Foundation and Higher Tiers • IGCSE & International Baccalaureate (IB) Maths Prep • Homework, Classwork, Cover Work, or Exam Revision **Exam Board Alignment:** • Excellent preparation for Edexcel, AQA, OCR, and Cambridge International (CIE) specifications covering properties of polygons, angles, and geometric reasoning. ________________________________________

£2.90

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