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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.
Directed Numbers in Real-Life Contexts (Differentiated Practice) GCSE Maths Worksheets:
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Directed Numbers in Real-Life Contexts (Differentiated Practice) GCSE Maths Worksheets:

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GCSE Maths Worksheets: Directed Numbers in Real-Life Contexts (Differentiated Practice) These worksheets help students develop a strong foundation in place value, supporting understanding of how digits represent different values depending on position. Each worksheet is split into three levels: Red – identifying digits, reading/writing numbers, basic place value Amber – expanded form, decimal values, and rounding Green – applying place value understanding in word problems and comparisons Each level includes 9 questions and an answer sheet with clear, step-by-step solutions.
Unit 4 – Geometry | GCSE Foundation Maths Flash Card Bundle
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Unit 4 – Geometry | GCSE Foundation Maths Flash Card Bundle

7 Resources
This complete flash card bundle for Unit 4 – Geometry supports Foundation Tier students in mastering key geometric concepts required by the Edexcel IGCSE (Specification A). The flash cards provide targeted practice across all areas of AO2: Shape, Space and Measure, with each sub-topic broken down into 32 clear and accessible questions. Topics covered in this bundle: 4.1 Angles, Lines and Triangles Identify and distinguish between acute, obtuse, reflex and right angles Apply angle properties around a point, on a straight line, and within parallel lines Understand angle sums in triangles and exterior angle properties Use angle facts for equilateral, isosceles and right-angled triangles 4.2 Polygons Recognise and name polygons including quadrilaterals and regular shapes Calculate missing angles using the angle sum of quadrilaterals and polygons Apply properties of parallelograms, rectangles, rhombuses, trapezia and kites 4.4 Measures Use and rearrange the formula: speed = distance Γ· time Work with compound measures including speed, pressure and density Apply real-world reasoning to multi-step calculation problems 4.7 Geometrical Reasoning Give valid explanations and justifications in geometrical problems involving lines, triangles and polygons Use correct terminology and logical steps in angle and shape problems 4.8 Trigonometry and Pythagoras’ Theorem Apply Pythagoras’ Theorem in 2D to calculate missing sides Use sine, cosine and tangent ratios to find lengths and angles in right-angled triangles Solve contextual problems using trigonometry 4.9 Mensuration of 2D Shapes Convert between metric units of length and area Calculate perimeter and area of triangles, rectangles, trapezia and circles Use formulae for the circumference and area of full and semicircles 4.10 3D Shapes and Volume Recognise and describe 3D solids including cube, cuboid, prism, pyramid, cylinder, sphere and cone Identify and define the properties of faces, edges and vertices in 3D shapes This bundle is ideal for revision, independent learning, classroom starters, or intervention sessions. Each section reinforces both conceptual understanding and procedural fluency in a wide range of geometry problems.
Experimental vs Theoretical Probability – Full Lesson with Differentiated Resources
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Experimental vs Theoretical Probability – Full Lesson with Differentiated Resources

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Experimental vs Theoretical Probability – Full Lesson with Differentiated Resources Experimental vs Theoretical Probability is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Statistics and Probability Topic Outcome: Compare experimental results with theoretical probabilities and explain differences Learning Objectives: Understand key terminology Apply probability principles Solve problems using models Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks This lesson includes opportunities for formative assessment and is perfect for homework, intervention, classroom delivery, or revision.
Substitution – Full Lesson with Differentiated Resources
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Substitution – Full Lesson with Differentiated Resources

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Substitution – Full Lesson with Differentiated Resources Substitution is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Equations, Formulae and Identities Topic Outcome: Evaluate expressions and formulae by substituting integers, decimals, and fractions Learning Objectives: Identify variables and constants Substitute values correctly Evaluate expressions accurately Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks This lesson includes opportunities for formative assessment and is perfect for homework, intervention, classroom delivery, or revision.
Working with Venn Diagrams (Differentiated Worksheets with Modelled Answers
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Working with Venn Diagrams (Differentiated Worksheets with Modelled Answers

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GCSE Maths – Working with Venn Diagrams (Differentiated Worksheets with Modelled Answers) Description: These worksheets provide structured practice in constructing and interpreting 2-set and 3-set Venn diagrams, with tasks scaled for learners working at different ability levels. Each activity is designed for use in GCSE Foundation Tier lessons and assessments, fully supported by step-by-step answer sheets. Key Learning Outcomes: Draw, label and shade Venn diagrams Use Venns to represent data and solve problems Apply union, intersection and complement reasoning in context Differentiation and Structure: Red Level: Build and label Venn diagrams with basic logic Amber Level: Interpret and solve problems with set notation Green Level: Complete higher-level logic puzzles using Venn principles All questions are supported with model answers to demonstrate clear steps and layout. Suggested Strategies for Use: Use Red as visual scaffolds and intro to shaded regions Use Amber for practice solving set problems Challenge high-attainers with Green level logic and puzzles Use Venns in class polls, surveys, and real-world maths tasks Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Aged 14–16 or suitable for intervention and consolidation A key tool for developing visual reasoning, logical thought, and symbolic understanding in set theory and data handling.
Venn Diagrams – Full Lesson with Differentiated Resources
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Venn Diagrams – Full Lesson with Differentiated Resources

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Venn Diagrams – Full Lesson with Differentiated Resources Venn Diagrams is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Set Language and Notation Topic Outcome: Represent sets with Venn diagrams Learning Objectives: Interpret 2-set and 3-set Venn diagrams Place values into correct regions Solve problems using Venn diagrams Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks
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
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
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
Expressing a Number as a Percentage of Another (Differentiated Worksheets with Modelled Answers)
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Expressing a Number as a Percentage of Another (Differentiated Worksheets with Modelled Answers)

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GCSE Maths – Expressing a Number as a Percentage of Another (Differentiated Worksheets with Modelled Answers) Description: This focused resource teaches learners how to express one number as a percentage of another β€” a core GCSE Foundation skill assessed in both calculator and non-calculator papers. The pack includes differentiated worksheets (Red, Amber, Green), with modelled answer sheets for every level to support independent learning and classroom delivery. Key Learning Outcomes: Calculate one quantity as a percentage of another Use multiplication and division in percentage contexts Apply methods to real-life examples and worded problems Work flexibly between fraction and decimal forms Differentiation and Structure: Red Level: Guided questions with small numbers and fraction links Amber Level: Mixed tasks using values under 100 and visual contexts Green Level: Exam-style percentage problems and comparison tasks Modelled solutions break down multi-step processes and support pupil-led marking. Suggested Strategies for Use: Introduce using Red as scaffolded fluency or homework Practice problem solving using Amber and Green in class Include Green level in revision booklets or challenge stations Review answer sheets together to explain misconceptions Suitable for: KS4 / GCSE Maths Foundation Tier Exam boards: Edexcel, AQA, OCR Age 14–16 or re-sit candidates preparing for exam application This pack supports strong fluency in a key skill for comparing data, working with proportions, and interpreting percentages in applied settings.
GCSE Maths – Geometry Foundation) – Complete Differentiated Worksheet Collection
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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.
GCSE Maths – Trigonometry and Pythagoras – Differentiated Worksheet Bundle
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GCSE Maths – Trigonometry and Pythagoras – Differentiated Worksheet Bundle

5 Resources
GCSE Maths – Trigonometry and Pythagoras – Differentiated Worksheet Bundle Description: Give students the confidence to approach triangle-based problems with this complete bundle. From right-angled triangle side calculations to trigonometric ratios, this pack helps develop fluency and flexibility in applying geometric formulae. Includes RAG progression and clear modelled solutions. Topics Covered: Pythagoras’ Theorem in 2D Using Sine, Cosine, and Tangent Solving Problems with Trigonometry Key Outcomes: Solve unknown sides and angles in right triangles Apply trigonometry to real contexts Link geometry with algebraic working Best For: GCSE Foundation Tier (non-calculator and calculator paper prep) Homework or guided independent revision Visual learners and logical reasoning tasks
Four Operations with Integers (Differentiated Practice) GCSE Maths Worksheets
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Four Operations with Integers (Differentiated Practice) GCSE Maths Worksheets

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GCSE Maths Worksheets: Four Operations with Integers (Differentiated Practice) These worksheets provide structured practice on addition, subtraction, multiplication, and division of whole numbers and integers. Red – single-step calculations Amber – operations with larger numbers and multiple steps Green – multi-operation and word problems involving all four rules Each level is accompanied by a step-by-step solution sheet for independent learning or support.
Statistics and Probability – GCSE Maths 15-Lesson Bundle (Fully Differentiated Resources)
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Statistics and Probability – GCSE Maths 15-Lesson Bundle (Fully Differentiated Resources)

15 Resources
Statistics and Probability – GCSE Maths Multi-Lesson Bundle (Fully Differentiated Resources) This bundle includes a complete sequence of fully differentiated lessons covering the Statistics and Probability unit for GCSE Maths. Lessons are suitable for all UK exam boards and are ideal for classroom teaching, revision, or independent learning. Topics Covered: Probability Language Probability Scale Theoretical Probability Venn Diagrams and Probability Sample Space and Events Systematic Listing of Outcomes Estimating Probability from Data Complement of an Event Addition Rule for Mutually Exclusive Events Expected Frequency Experimental vs Theoretical Probability Independent Events Dependent Events Conditional Probability (Higher Tier) Set Notation and Probability What’s Included: Fully editable PowerPoint lessons (18 slides per topic) Starter tasks, vocabulary recall, and retrieval practice RED, AMBER, GREEN differentiated worksheets Real-life problem-solving activities with modelled solutions Printable vocabulary cards and learning mats Plenary multiple-choice questions Exit tickets for every topic Learning Outcomes: Students will: Use and understand key probability terms and models Apply probability rules including P(A and B), P(A or B), and complements Use Venn diagrams and set notation to calculate probabilities Compare experimental and theoretical outcomes Interpret real-world frequency data in context A perfect bundle for scaffolding understanding, deepening reasoning, and assessing mastery in probability for GCSE learners.
Sample Space and Events – Full Lesson with Differentiated Resources
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Sample Space and Events – Full Lesson with Differentiated Resources

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Sample Space and Events – Full Lesson with Differentiated Resources Sample Space and Events is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Statistics and Probability Topic Outcome: Use sample space to determine probabilities Learning Objectives: List all outcomes in a sample space Count favourable outcomes Use tables to find probabilities Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks This lesson includes opportunities for formative assessment and is perfect for homework, intervention, classroom delivery, or revision.
Estimating Probability from Data – Full Lesson with Differentiated Resources: Probability
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Estimating Probability from Data – Full Lesson with Differentiated Resources: Probability

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Estimating Probability from Data – Full Lesson with Differentiated Resources Estimating Probability from Data is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Statistics and Probability Topic Outcome: Estimate probability from frequency data Learning Objectives: Understand key terminology Apply probability principles Solve problems using models Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks This lesson includes opportunities for formative assessment and is perfect for homework, intervention, classroom delivery, or revision.
Set Notation and Probability – Full Lesson with Differentiated Resources
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Set Notation and Probability – Full Lesson with Differentiated Resources

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Set Notation and Probability – Full Lesson with Differentiated Resources Set Notation and Probability is a complete and fully differentiated lesson ideal for GCSE revision or full class teaching. This resource is suitable for all major UK exam boards and is designed to support students from a range of abilities with scaffolded support and challenge. Unit: Statistics and Probability Topic Outcome: Use set notation (βˆͺ, ∩, Aβ€²) to solve probability problems Learning Objectives: Understand key terminology Apply probability principles Solve problems using models Included Resources: Fully editable PowerPoint slides for classroom delivery Starter task and vocabulary retrieval activities Modelled examples and structured worked solutions RED, AMBER, GREEN differentiated worksheets Problem solving worksheets with modelled step-by-step solutions (PDF & PPT format) Plenary multiple-choice question Exit tickets for all levels of ability Real-world application tasks Vocabulary cards with key definitions Printable fluency, reasoning and mastery tasks This lesson includes opportunities for formative assessment and is perfect for homework, intervention, classroom delivery, or revision.
Unit 1.1 Integers - GCSE Foundation Maths Flash Cards –  (Edexcel Revision Resource)
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Unit 1.1 Integers - GCSE Foundation Maths Flash Cards – (Edexcel Revision Resource)

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Support your GCSE Foundation Maths revision with this free, printable set of flash cards covering Unit 1.1: Integers, aligned with the Edexcel exam specification. Designed for learners aged 11–16, this resource includes word-based questions and answers in PDF format – ideal for independent revision, classroom activities, tutoring, or small group learning. Each topic is matched to the spec and includes: Using positive and negative integers Understanding place value Ordering integers and number line reasoning Using directed numbers in context (e.g. temperature, depth) Four operations (add, subtract, multiply, divide) Brackets and order of operations Prime numbers, factors, multiples Identifying common multiples and factors The PDF version includes: One page of all questions One page of corresponding answers in order (great for self-check or two-sided flash cards)
Unit 1.10 – Applying Number | GCSE Foundation Maths Flash Cards (24 Questions, Edexcel)
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Unit 1.10 – Applying Number | GCSE Foundation Maths Flash Cards (24 Questions, Edexcel)

(1)
Reinforce practical number skills with this flash card set for Unit 1.10 – Applying Number, aligned with the Edexcel GCSE Foundation Maths syllabus. Featuring 24 real-life examples, students gain fluency in metric units, money, and time. Topics include: Real-world use of numbers in daily life Metric conversions (mass, length, volume, area) Time calculations and interpreting standard units Currency conversion and money calculations A helpful tool for classroom starters, homework, or revision.
Differentiated  Flashcards: Fractions
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Differentiated Flashcards: Fractions

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**A Free Differentiated Maths Revision Resource for KS3 ** This free printable flashcard resource is designed to help KS3 students (Years 7, 8 & 9) master operations with fractions, including addition, subtraction, multiplication, division, simplification, and conversions. The flashcards are differentiated to support students of all abilities, ensuring inclusive learning: Working Towards – Basic fraction operations for students who need extra support. On Target – Standard fraction problems for students working at the expected level. Above Target – Challenging problems for students who are exceeding expectations. Key Features A6-sized flashcards – Each question and answer is formatted into equal-sized boxes for easy cutting. Double-sided printing – Flip on the short edge to ensure the question appears on one side and the answer on the back. Mathematical symbols – Uses proper fraction notation (e.g., ΒΎ instead of 3/4) for accurate mathematical representation. Clear cutting lines – Dashed lines allow for precise cutting, making these flashcards classroom-ready. Independent or group study – Perfect for revision, quick-fire quizzes, and classroom activities. Covers key fraction operations such as: Adding and subtracting fractions Multiplying and dividing fractions Simplifying fractions Converting between fractions, decimals, and percentages Download, print, and cut your own flashcards to reinforce fraction skills in a fun and interactive way! Let me know if you need any modifications or additional topics covered!