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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.
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
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
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
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
Unit 4.10 – 3D Shapes and Volume | GCSE Foundation Maths Flash Cards (32 Questions, Edexcel)
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Unit 4.10 – 3D Shapes and Volume | GCSE Foundation Maths Flash Cards (32 Questions, Edexcel)

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Unit 4.10 – 3D Shapes and Volume | GCSE Foundation Maths Flash Cards (32 Questions, Edexcel) This visual set of flash cards helps students identify 3D shapes and their properties. Includes 32 questions on names, faces, edges, vertices, and characteristics of common solids. Covers: cube, cuboid, prism, pyramid, cylinder, cone, and sphere. Also includes definitions of face, edge, vertex, and solid recognition.
Unit 2 – Equations, Formulae and Identities | GCSE Foundation Maths Flash Card Bundle (Edexcel Specification A)
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Unit 2 – Equations, Formulae and Identities | GCSE Foundation Maths Flash Card Bundle (Edexcel Specification A)

5 Resources
Unit 2 – Equations, Formulae and Identities | GCSE Foundation Maths Flash Card Bundle (Edexcel Specification A) This GCSE Foundation revision bundle includes expertly designed flash cards covering all areas of Unit 2 – Equations, Formulae and Identities, based on the Edexcel IGCSE Mathematics (Specification A). Each flash card set contains 32 structured questions to develop confidence and fluency in algebra, equations, and key algebraic rules. Topics covered include: 2.1 Use of Symbols Understanding how symbols represent unknown values in equations and variables in expressions and formulae Applying arithmetic rules to algebraic expressions Using index notation for positive, negative and zero powers Applying index laws for multiplication and division of powers 2.2 Algebraic Manipulation Substituting values into expressions Collecting like terms Expanding brackets and factorising expressions Expanding two linear expressions and recognising quadratic forms Factorising simple quadratics of the form xΒ² + bx + c 2.4 Linear Equations Solving linear equations where the unknown is on one or both sides Handling equations with integer or fractional coefficients Setting up equations from written problems and diagrams 2.7 Quadratic Equations Solving quadratic equations by factorisation Recognising the standard quadratic form xΒ² + bx + c = 0 and applying factorisation to solve This bundle is ideal for class starters, 1-to-1 revision, or independent learning. All sets follow the Edexcel exam structure to ensure curriculum alignment and support exam success.
Calculating Squares, Roots and Cube Roots (Differentiated Practice) – GCSE Maths Worksheets
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Calculating Squares, Roots and Cube Roots (Differentiated Practice) – GCSE Maths Worksheets

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Calculating Squares, Roots and Cube Roots (Differentiated Practice) – GCSE Maths Worksheets Unit: 1.4 – Powers and Roots These worksheets help students build fluency in calculating squares, square roots, cubes and cube roots. Red: Uses smaller numbers and clear structure Amber: Extends to more complex and decimal values Green: Applies knowledge in reverse operations and multi-step contexts Each worksheet is paired with a fully worked answer sheet for modelling and self-checking.
Using Index Notation and Index Laws (Differentiated Practice) – GCSE Maths Worksheets
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Using Index Notation and Index Laws (Differentiated Practice) – GCSE Maths Worksheets

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Using Index Notation and Index Laws (Differentiated Practice) – GCSE Maths Worksheets Unit: 1.4 – Powers and Roots Teach students how to confidently read, write, and manipulate powers using index laws. This pack reinforces key concepts needed for GCSE Foundation Tier success with tiered levels of challenge. Red: Understanding base and index with simple notation examples Amber: Apply multiplication and division laws, including powers of zero Green: Complex expressions requiring simplification and substitution Includes structured answer sheets with modelled steps for each level. Can be used for in-lesson modelling, targeted intervention or end-of-topic review.
GCSE Maths – Powers and Roots (Unit 1.4) – Complete Differentiated Worksheet Bundle
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GCSE Maths – Powers and Roots (Unit 1.4) – Complete Differentiated Worksheet Bundle

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GCSE Maths – Powers and Roots (Unit 1.4) – Complete Differentiated Worksheet Bundle Description: Support your GCSE Foundation Tier learners with this comprehensive and fully differentiated bundle covering Unit 1.4: Powers and Roots, as aligned to the UK curriculum for Edexcel, AQA, OCR, and other major exam boards. This pack contains three topic-based worksheet sets, each with Red (Support), Amber (Secure), and Green (Challenge) levels, along with matching modelled answer sheets. Every task is designed to build conceptual understanding, procedural fluency, and exam confidence. Perfect for classroom teaching, targeted interventions, homework, or GCSE revision. All resources are printable and digital-friendly. Topics Covered: Understanding Square and Cube Numbers Calculating Squares, Square Roots, Cubes and Cube Roots Using Index Notation and Applying Index Laws Key Learning Outcomes: Recognise and generate square and cube numbers Calculate and estimate square roots and cube roots of integers and decimals Use index notation to simplify and manipulate expressions Apply index laws for multiplication, division, and zero powers Understand the connection between powers, roots and repeated multiplication Differentiation and Structure: Red Level (Support): Scaffolded tasks with guided examples and step-by-step support Amber Level (Secure): Practice with real-life examples and GCSE-style questions Green Level (Challenge): Reasoning, extension problems and exam-style multi-step questions Each worksheet is paired with a modelled answer sheet, offering breakdowns in clear, labelled steps (Step 1, Step 2…) to reinforce methods and aid teacher explanation or student self-assessment. Suggested Strategies for Use: Use Red–Amber–Green levels to differentiate by ability in class Deploy modelled answers to support peer or self-marking Use Green challenge sheets for extension tasks or fast finishers Build topic fluency by sequencing these sheets across a week or unit Embed into revision sessions or mock exam prep for quick recall and reinforcement
GCSE Maths – Using Set Notation (βˆͺ, ∩, ∈, βˆ‰) (Differentiated Worksheets with Modelled Answers)
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GCSE Maths – Using Set Notation (βˆͺ, ∩, ∈, βˆ‰) (Differentiated Worksheets with Modelled Answers)

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GCSE Maths – Using Set Notation (βˆͺ, ∩, ∈, βˆ‰) (Differentiated Worksheets with Modelled Answers) Help your students build confidence using formal set notation. This resource develops fluency with the key symbols βˆͺ (union), ∩ (intersection), ∈ (belongs to), and βˆ‰ (does not belong to) β€” all aligned with GCSE Foundation Tier exam specifications. Includes differentiated worksheets and step-by-step modelled answer sheets for complete support in class or during revision. Key Learning Outcomes: Identify and correctly use union, intersection, and membership symbols Understand the meaning of notation in the context of numerical sets Solve problems using compound expressions involving sets Differentiation and Structure: Red Level: Scaffolded introduction to symbols and their meanings Amber Level: Set notation applied in structured questions Green Level: Logic-based tasks and symbolic reasoning Answer sheets provide a walkthrough of working steps for each task. Suggested Strategies for Use: Teach notation with Red before layering on logic in Amber and Green Use for class activities, workbook supplements, or homework Encourage students to verbalise their understanding using the symbols Ideal for assessment practice, visual aids, and peer marking Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Targeted at 14–16-year-olds and Foundation Tier learners An essential worksheet set for mastering one of the most frequently tested symbolic skills in GCSE maths.
Complement of a Set (Aβ€²) (Differentiated Worksheets with Modelled Answers)
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Complement of a Set (Aβ€²) (Differentiated Worksheets with Modelled Answers)

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GCSE Maths – Complement of a Set (Aβ€²) (Differentiated Worksheets with Modelled Answers) Description: This differentiated resource supports students in learning to calculate and interpret the complement of a set (Aβ€²). Each worksheet focuses on definitions, notation and logic, with challenges that build from foundational understanding to abstract applications. Key Learning Outcomes: Recognise and define complements of sets Use Aβ€² notation in context Solve problems involving set membership and exclusion Differentiation and Structure: Red Level: Define complements and identify non-membership Amber Level: Apply Aβ€² notation using numeric and visual sets Green Level: Solve layered problems using Venn logic and operations Includes modelled answer sheets for teacher guidance and independent checking. Suggested Strategies for Use: Use Red to introduce complement logic visually Apply Amber and Green for peer discussion or exam-style reasoning Use for plenary challenges or homework extension Support low-confidence students with answer walkthroughs Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Suitable for revision or first-teach delivery An effective resource for helping students master this symbolic and conceptual skill using clear visuals and structure.
Universal and Empty Sets (Differentiated Worksheets with Modelled Answers)
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Universal and Empty Sets (Differentiated Worksheets with Modelled Answers)

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GCSE Maths – Universal and Empty Sets (Differentiated Worksheets with Modelled Answers) Description: Introduce students to the concept of the universal set (E) and the empty set (βˆ…) with this focused resource pack. These worksheets are built around the GCSE Foundation Tier spec and include differentiated levels with clear examples and modelled answer sheets. Key Learning Outcomes: Understand and define the universal set and empty set Use E and βˆ… appropriately in set operations and logic Interpret and compare different sets including subsets Differentiation and Structure: Red Level: Introductory definitions with examples Amber Level: Compare sets and describe elements and membership Green Level: Solve reasoning tasks with abstract or nested set comparisons Every level includes a supporting step-by-step answer sheet. Suggested Strategies for Use: Use Red sheets for concept clarity at the start of a set theory unit Apply Amber and Green sheets for comparison tasks and class challenges Reinforce vocabulary through targeted questioning and discussion Use in intervention or small group study to secure key terminology Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Foundation-level students or those building concept fluency A valuable and accessible way to teach and assess understanding of universal and empty sets, with tasks for every ability.
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
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 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
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
3x Times Tables Multiplication Flashcards (A4)
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3x Times Tables Multiplication Flashcards (A4)

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Boost math fluency with this printable pack of multiplication flashcards covering 3x times tables. Each set includes an A4-sized, easy-to-print layout with 8 flashcards per sheet. Questions appear on the front, and answers are aligned on the back for accurate double-sided printing. Designed with clean black borders and no background fill to save ink β€” ideal for classrooms, homeschoolers, tutors, and parents. Helps students master times tables in a structured, visual way!
2x Times Tables Multiplication Flashcards (A4)
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2x Times Tables Multiplication Flashcards (A4)

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Boost math fluency with this printable pack of multiplication flashcards covering 2x times tables. Each set includes an A4-sized, easy-to-print layout with 8 flashcards per sheet. Questions appear on the front, and answers are aligned on the back for accurate double-sided printing. Designed with clean black borders and no background fill to save ink β€” ideal for classrooms, homeschoolers, tutors, and parents. Helps students master times tables in a structured, visual way!