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Mr Joel's Maths and Science Shop

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I'm a dedicated teacher of Maths and Physics, passionate about creating high-quality, engaging resources for the classroom. This shop offers a wide range of materials including differentiated worksheets, full lesson plans, interactive activities, and more β€” all designed to support effective teaching and confident learning.

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I'm a dedicated teacher of Maths and Physics, passionate about creating high-quality, engaging resources for the classroom. This shop offers a wide range of materials including differentiated worksheets, full lesson plans, interactive activities, and more β€” all designed to support effective teaching and confident learning.
GCSE Maths – Geometry Foundation) – Complete Differentiated Worksheet Collection
MrJoel93MrJoel93

GCSE Maths – Geometry Foundation) – Complete Differentiated Worksheet Collection

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GCSE Maths – Geometry (Unit 4) – Complete Differentiated Worksheet Collection Description: This all-in-one geometry resource bundle covers every core skill from Unit 4 of the GCSE Maths Foundation Tier. Designed to align with Edexcel, AQA, and OCR specifications, this pack features differentiated RAG worksheets (Red, Amber, Green) for each topic with fully worked answer sheets. Perfect for structured revision, lessons, intervention, or independent study. Topics Covered: Angles, Lines and Triangles Angles: Acute, Obtuse & Reflex Angle Properties of Lines (alternate, corresponding, opposite) Angles in Triangles (angle sum and exterior angles) Triangle Types and Angles (isosceles, equilateral, right-angled) Polygons Naming Polygons Angle Sums in Quadrilaterals Properties of Special Quadrilaterals (trapezium, rhombus, etc.) Measures Speed, Distance, Time Formula Compound Measures: Density and Pressure Geometrical Reasoning Informal Reasoning with Lines, Triangles, and Polygons Trigonometry and Pythagoras’ Theorem Pythagoras’ Theorem in 2D Using Sine, Cosine, and Tangent Solving Problems with Trigonometry Mensuration of 2D Shapes Metric Conversions (length and area) Perimeter of Composite Shapes Area of Triangles and Rectangles Area of Parallelograms and Trapezia Circles: Circumference and Area 3D Shapes and Volume Recognising and Naming 3D Solids Faces, Edges and Vertices in 3D Geometry Key Learning Outcomes: Identify, name and measure angles accurately Apply triangle and quadrilateral properties to find missing values Use formulas for speed, pressure, area and volume Justify geometric solutions using logical reasoning Master Pythagoras and trigonometric relationships Visualise and describe 2D and 3D shapes confidently Differentiation Structure: Red – Guided, visual examples and foundation knowledge Amber – GCSE-style problems with scaffolded reasoning Green – Exam-level challenges, reasoning and problem solving Each level comes with an answer sheet including step-by-step modelled solutions, allowing for self-assessment, peer marking, or feedback use. Best For: GCSE Foundation Tier learners (KS4) Teachers planning full geometry coverage Revision, homework, class teaching or online learning Ideal for mixed-ability or catch-up groups Your complete solution for mastering geometry in GCSE Maths.
Naming 3D Shapes – GCSE Maths Worksheets
MrJoel93MrJoel93

Naming 3D Shapes – GCSE Maths Worksheets

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Naming 3D Shapes – GCSE Maths Worksheets (Unit 4.10A) Description: Build recognition of 3D shapes and develop mathematical language for naming solids such as cubes, prisms, cylinders, and pyramids. Differentiated to support students at every stage of learning. Included Levels: Red: Match names to 3D shape pictures Amber: Identify 3D shapes from nets or properties Green: Reason about 3D shapes in problem-solving scenarios Key Learning Outcomes: Identify standard 3D shapes Describe solid shape properties Use correct mathematical names fluently Suitable for: GCSE Maths Foundation SEN/visual support or revision
Circles: Circumference and Area – GCSE Maths Worksheets
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Circles: Circumference and Area – GCSE Maths Worksheets

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Circles: Circumference and Area – GCSE Maths Worksheets (Unit 4.9E) Description: Learners practice calculating the circumference and area of circles using the correct formulas. Step-by-step support helps avoid confusion between radius and diameter. Includes differentiated levels and modelled answer sheets. Included Levels: Red: Use radius to find circumference and area Amber: Switch between diameter and radius with correct Ο€ usage Green: Solve compound and worded problems involving circles Key Learning Outcomes: Understand the difference between diameter and radius Use circle facts in real-world scenarios Suitable for: GCSE Foundation Maths Curriculum: Edexcel, AQA, OCR
Area of Parallelograms and Trapezia – GCSE Maths Worksheets
MrJoel93MrJoel93

Area of Parallelograms and Trapezia – GCSE Maths Worksheets

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Area of Parallelograms and Trapezia – GCSE Maths Worksheets (Unit 4.9D) Description: This resource develops fluency in applying area formulas for parallelograms and trapezia. Step-by-step structure makes it suitable for all abilities. Full answers and explanations are included. Included Levels: Red: Label and calculate area using height and base Amber: Apply correct formula with missing values Green: Combine reasoning and estimation in multi-shape problems Key Learning Outcomes: Apply formulas for special quadrilaterals Rearrange and interpret shape dimensions Work through compound layout scenarios Suitable for: GCSE Foundation Maths Visual learners, revision sessions, or structured homework
Area of Triangles and Rectangles – GCSE Maths Worksheets
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Area of Triangles and Rectangles – GCSE Maths Worksheets

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Area of Triangles and Rectangles – GCSE Maths Worksheets (Unit 4.9C) Description: Helps students master formulas for area of triangles and rectangles using scaffolded methods. Perfect for recap or formal practice. Three differentiated tasks with clear, step-by-step answers. Included Levels: Red: Use given dimensions to apply simple formula Amber: Mix triangle/rectangle tasks and missing side questions Green: Multi-step real-world scenarios Key Learning Outcomes: Apply area = base Γ— height and Β½ Γ— base Γ— height Use correct units and layout Build toward compound area problems Suitable for: KS4 / GCSE Maths Ideal for Foundation Tier coverage
Perimeter of Composite Shapes – GCSE Maths Worksheets
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Perimeter of Composite Shapes – GCSE Maths Worksheets

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Perimeter of Composite Shapes – GCSE Maths Worksheets (Unit 4.9B) Description: Practice finding the perimeter of 2D shapes made from triangles and rectangles. Scaffolded for confidence and accuracy, each level targets specific skills. Modelled answers make it great for guided practice or homework. Included Levels: Red: Add lengths of simple compound shapes Amber: Use properties to find missing side lengths Green: Solve complex perimeter problems with reasoning Key Learning Outcomes: Calculate perimeter of mixed 2D shapes Deduce missing side lengths from diagrams Apply logic in real-world-style problems Suitable for: GCSE Foundation Tier Curriculum aligned with Edexcel, AQA, OCR
Metric Conversions – GCSE Maths Worksheets
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Metric Conversions – GCSE Maths Worksheets

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Metric Conversions – GCSE Maths Worksheets (Unit 4.9A) Description: Build fluency in converting linear, area, and volume units within the metric system. This topic is essential across many geometry and measure problems. Includes differentiated levels and full answer guides. Included Levels: Red: Convert cm, m, mm, km in one-step tasks Amber: Area conversions (e.g. cmΒ² to mΒ²) Green: Real-life problems combining conversions with perimeter/area Key Learning Outcomes: Convert metric units confidently Apply unit conversions to geometry contexts Avoid common misconceptions with squared units Suitable for: Foundation Tier Maths – KS4 All major exam boards
Solving Problems with Trigonometry – GCSE Maths Worksheets
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Solving Problems with Trigonometry – GCSE Maths Worksheets

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Solving Problems with Trigonometry – GCSE Maths Worksheets (Unit 4.8C) Description: This advanced worksheet pack provides problem-solving contexts using trigonometry. Learners tackle questions with real-world contexts and combine multiple triangle rules. Ideal for building confidence before assessments or stretch tasks. Included Levels: Red: Simple trigonometry in labelled triangles Amber: Problems combining trig and Pythagoras Green: Multi-step questions requiring correct identification of strategy Key Learning Outcomes: Choose between sine, cosine, tangent and Pythagoras Use diagrams to organise known and unknown sides Justify methods in real-world situations Suitable for: GCSE Foundation Tier Revision, exam prep or booster classes
Trigonometric Ratios – GCSE Maths Worksheets
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Trigonometric Ratios – GCSE Maths Worksheets

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Trigonometric Ratios – GCSE Maths Worksheets (Unit 4.8B) Description: Focuses on the introduction and application of sine, cosine, and tangent to solve right-angled triangle problems. This resource supports students in understanding when and how to use each ratio. Each worksheet level is supported with clear examples in the answer sheets. Included Levels: Red: Label triangle sides and match to SOHCAHTOA Amber: Solve sides and angles using correct formulas Green: Multi-step application including calculator-based reasoning Key Learning Outcomes: Identify opposite, adjacent and hypotenuse Use correct trig ratios to find missing values Interpret real-life problems involving angles Suitable for: GCSE Maths Foundation Tier Edexcel, AQA, OCR boards
Geometrical Reasoning – GCSE Maths Worksheets
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Geometrical Reasoning – GCSE Maths Worksheets

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Geometrical Reasoning – GCSE Maths Worksheets (Unit 4.7A) Description: Encourage students to explain their thinking and justify solutions with this reasoning-based resource. Students use formal and informal explanations for their geometric calculations. This is a great companion to any angles, triangle, or polygon topic and includes answers with modelled language. Included Levels: Red: Sentence prompts to support short written justifications Amber: Explain answers involving two-step angle facts Green: Construct formal reasoning chains with multiple properties Key Learning Outcomes: Explain geometry steps clearly Use vocabulary like β€˜opposite angles’, β€˜parallel’, β€˜isosceles’ correctly Improve reasoning for exam marks Suitable for: GCSE Maths Foundation Tier All major UK exam boards
Compound Measures – GCSE Maths Worksheets
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Compound Measures – GCSE Maths Worksheets

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Compound Measures – GCSE Maths Worksheets (Unit 4.4G) Description: This pack helps students work with compound measures such as density, speed, and pressure. Clear layout and structured scaffolding help build understanding of unfamiliar units and equations. Three differentiated worksheets and full answer sets make this ideal for revision and support. Included Levels: Red: Identify formulas and substitute known values Amber: Rearrange formulas to solve for missing quantities Green: Solve worded compound measure problems with conversions Key Learning Outcomes: Understand and apply formulas for density, speed, and pressure Convert between units where needed Use compound measures in problem-solving contexts Suitable for: KS4 Foundation Maths Based on AQA, Edexcel and OCR exam content
Speed, Distance and Time – GCSE Maths Worksheets
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Speed, Distance and Time – GCSE Maths Worksheets

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Speed, Distance and Time – GCSE Maths Worksheets (Unit 4.4F) Description: This worksheet pack supports students in using the speed = distance Γ· time formula to solve practical problems. It develops fluency and interpretation of real-life distance-time contexts. Differentiated worksheets (Red, Amber, Green) with modelled answer sheets are included for effective revision and structured learning. Included Levels: Red: Use the triangle formula to substitute and solve basic questions Amber: Calculate speed, time, or distance from two given values Green: Solve multi-step word problems involving units and conversions Key Learning Outcomes: Use and rearrange the speed-distance-time formula Convert between km/h, m/s and minutes/hours Apply in real-world and exam-style questions Suitable for: GCSE Maths Foundation Tier Edexcel, AQA, OCR Exam prep, lessons, or independent practice
Angles in Quadrilaterals Maths Worksheets GCSE Foundation
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Angles in Quadrilaterals Maths Worksheets GCSE Foundation

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Angles in Quadrilaterals – GCSE Maths Worksheets (Unit 4.2B) Description: This pack focuses on using the angle sum property of quadrilaterals to calculate missing angles. Learners will build fluency in identifying angle relationships in shapes like squares, rectangles, and trapezia. Worksheets are fully differentiated and include model answer sheets to support modelling and feedback. Included Levels: Red: Find missing angles in simple quadrilaterals Amber: Use algebra to solve quadrilateral angle problems Green: Solve compound shape problems with logical reasoning Key Learning Outcomes: Know that quadrilateral angles sum to 360Β° Apply this to find unknown values in labelled diagrams Explain reasoning clearly using correct terms Suitable for: Foundation Tier GCSE Maths Edexcel, AQA, OCR syllabuses Suitable for lessons, revision or targeted intervention
Naming Polygons – GCSE Maths Worksheets
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Naming Polygons – GCSE Maths Worksheets

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Naming Polygons – GCSE Maths Worksheets (Unit 4.2A) Description: This worksheet pack introduces students to the names and properties of common 2D polygons. It includes visual tasks to help learners identify shapes based on sides and angles. Differentiated into Red, Amber, and Green worksheets, each with modelled answer sheets, this resource is ideal for foundational geometry lessons and revision. Included Levels: Red: Match names to regular polygons with visual clues Amber: Identify and label polygons based on number of sides Green: Compare and contrast polygon properties in reasoning-based tasks Key Learning Outcomes: Identify common 2D polygons (e.g. pentagon, hexagon, octagon) Understand how side number determines the name Use vocabulary accurately in explanations Suitable for: GCSE Maths Foundation Tier Edexcel, AQA, OCR specifications Whole-class geometry teaching or support
Triangle Types and Angles – GCSE Maths Worksheets Differentiated
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Triangle Types and Angles – GCSE Maths Worksheets Differentiated

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Triangle Types and Angles – GCSE Maths Worksheets (Unit 4.1D) Description: This differentiated pack focuses on the classification of triangles by their side and angle properties. Students also learn how to apply angle facts in problems involving different triangle types. Each level comes with a matching answer sheet to help students reflect on and improve their understanding. Included Levels: Red: Identify triangle types from side lengths or angles Amber: Solve for unknown angles using properties of isosceles and right-angled triangles Green: Multi-step angle problems involving mixed triangle rules and justifications Key Learning Outcomes: Classify triangles (equilateral, isosceles, scalene, right-angled) Understand and apply internal angle properties Use triangle reasoning in unfamiliar diagrams Suitable for: Foundation GCSE Maths – Edexcel, AQA, OCR Intervention groups, homework, or assessment practice
Angles in Triangles – Maths Worksheets
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Angles in Triangles – Maths Worksheets

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Angles in Triangles – GCSE Maths Worksheets Description: Explore triangle angle rules through this structured worksheet pack. Learners calculate missing angles in various triangle types and apply the exterior angle property. This pack includes three differentiated tasks with clear worked examples in the answer sheets. Included Levels: Red: Identify angle sums in equilateral and isosceles triangles Amber: Use algebraic expressions to solve for missing angles Green: Combine triangle and exterior angle facts to solve exam-style problems Key Learning Outcomes: Know that interior angles of a triangle total 180Β° Apply exterior angle = sum of opposite interior angles Solve problems with mixed triangle types Suitable for: GCSE Maths Foundation Tier Edexcel, AQA, OCR syllabus Suitable for use in class or for exam preparation
Angle Properties of Lines – GCSE Maths Worksheets
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Angle Properties of Lines – GCSE Maths Worksheets

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Angle Properties of Lines – GCSE Maths Worksheets Description: This worksheet pack develops understanding of angle relationships formed by intersecting lines and parallel lines. Students apply rules such as vertically opposite angles, alternate angles, corresponding angles and angles on a straight line. Each worksheet is differentiated by ability level (Red, Amber, Green) and comes with fully modelled answers to support self-assessment and classroom discussion. Included Levels: Red: Use angle sums at a point and on a straight line Amber: Solve problems involving parallel lines and alternate angles Green: Justify multi-step reasoning using multiple angle facts Key Learning Outcomes: Apply angle rules involving lines and parallel structures Identify angle types in diagrams Solve and explain angle problems using appropriate vocabulary Suitable for: GCSE Foundation Tier (Edexcel, AQA, OCR) Lessons, revision, or homework tasks
Angles: Acute, Obtuse & Reflex – GCSE Maths Worksheets
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Angles: Acute, Obtuse & Reflex – GCSE Maths Worksheets

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Angles: Acute, Obtuse & Reflex – GCSE Maths Worksheets (Unit 4.1A) Description: This worksheet pack introduces students to different types of angles and how to distinguish between them visually and numerically. The resource builds foundational understanding for geometry topics later in the course. Students will work through three differentiated worksheets (Red, Amber, Green), each accompanied by a modelled answer sheet for step-by-step support. Included Levels: Red: Basic identification of angle types using clear diagrams Amber: Estimate and compare angles from measurements Green: Classify angles and apply reasoning in diagram-based problems Key Learning Outcomes: Recognise and define acute, obtuse, reflex, and right angles Estimate and compare angles using benchmarks Develop reasoning through classification tasks Suitable for: KS4 / GCSE Maths Foundation Tier Edexcel, AQA, OCR specifications In-class instruction, revision, homework or intervention
Percentages (Unit 1.6) – Complete Differentiated Worksheet Bundle
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Percentages (Unit 1.6) – Complete Differentiated Worksheet Bundle

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GCSE Maths – Percentages (Unit 1.6) – Complete Differentiated Worksheet Bundle Description: Support students in developing a deep understanding of percentages with this complete Unit 1.6 resource pack. Designed specifically for GCSE Foundation Tier, this bundle is mapped to the Edexcel, AQA, OCR specifications and structured for all ability levels. Each topic includes three differentiated worksheets (Red, Amber, Green) and corresponding answer sheets with modelled solutions. Use this versatile resource to reinforce key percentage skills in class or during revision sessions. Topics Covered: Understanding the Meaning of Percentage Expressing a Number as a Percentage of Another Converting Between Percentages, Fractions and Decimals Key Learning Outcomes: Understand percentage as β€˜per 100’ Convert between number forms Solve applied and comparison problems Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR
Set Language and Notation (Unit 1.5) – Complete Differentiated Worksheet Bundle
MrJoel93MrJoel93

Set Language and Notation (Unit 1.5) – Complete Differentiated Worksheet Bundle

6 Resources
GCSE Maths – Set Language and Notation (Unit 1.5) – Complete Differentiated Worksheet Bundle Description: This comprehensive pack covers Unit 1.5: Set Language and Notation, designed to meet the demands of the GCSE Maths Foundation Tier across Edexcel, AQA, and OCR specifications. Each topic features three differentiated worksheets (Red, Amber, Green) with matching modelled answer sheets that demonstrate step-by-step working. Ideal for whole-class teaching, intervention, or revision. Topics Covered: Introduction to Sets and Set Language Using Set Notation (βˆͺ, ∩, ∈, βˆ‰) Universal and Empty Sets Complement of a Set (Aβ€²) Working with Venn Diagrams Key Learning Outcomes: Use correct set notation and terminology Identify universal and empty sets Apply Venn diagrams to solve problems Understand complements and symbolic logic Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Students aged 14–16 or those preparing for resits