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Mastering place value and rounding is essential for success in GCSE Maths. This subcategory covers understanding the value of each digit in whole numbers and decimals, including units, tens, hundre...
Fractions are a core part of GCSE Maths, and understanding them is crucial for success in calculations and problem-solving. This subcategory covers proper, improper, and mixed fractions, as well as...
Understanding decimals is essential for GCSE Maths success, as they appear in calculations, measurements, and problem-solving. This subcategory focuses on reading, writing, and comparing decimals, ...
Mastering percentages is a key skill in GCSE Maths, essential for calculations, comparisons, and problem-solving. This subcategory covers understanding percentages, converting between fractions, de...
Understanding factors and multiples builds the foundation for success in GCSE Maths. This topic teaches students how to identify factors, multiples, and prime numbers, and how to use them to simpli...
Powers and roots are a key part of GCSE Maths, essential for algebra, equations, and higher-level problem-solving. This subcategory covers squares, cubes, square roots, cube roots, and higher power...
Standard form is an important topic in GCSE Maths, helping students work with very large or very small numbers efficiently. This subcategory covers writing numbers in standard form, converting betw...
Work confidently with positive and negative numbers in a variety of contexts with this subcategory. Learn how to add, subtract, multiply, and divide integers while applying the rules for negative v...
Apply the correct order of operations to solve mathematical problems accurately with this subcategory. Learn how to use brackets, indices, division, multiplication, addition, and subtraction (BIDMA...
Develop the ability to quickly and accurately estimate calculations with this subcategory. Explore rounding numbers, approximating answers, and using estimation strategies to check the reasonablene...
Learn how to work with error intervals and understand the range within which a measurement or calculation may vary. This subcategory covers upper and lower bounds, calculating possible maximum and ...
Explore the world of recurring decimals and learn how to identify, represent, and work with them confidently. This subcategory covers converting fractions to recurring decimals, expressing decimals...
Discover the different kinds of numbers used in GCSE Maths and learn how to classify them with confidence. This subcategory covers natural numbers, whole numbers, integers, prime numbers, composite...
Solve problems involving negative numbers with confidence in this subcategory. Students will practice adding, subtracting, multiplying, and dividing negative values, as well as applying the rules f...
Learn how to work with ratios and compare quantities effectively in this subcategory. Topics include expressing ratios in their simplest form, writing equivalent ratios, and understanding part-to-p...
Simplifying expressions is a fundamental skill in GCSE Maths, helping you manipulate algebraic statements with confidence. In this subcategory, you will learn how to combine like terms, remove brac...
Expanding brackets is a key algebra skill for GCSE Maths, allowing you to rewrite expressions in a more workable form. This subcategory covers multiplying single and double brackets, applying the d...
Factorising expressions is the process of rewriting an algebraic expression as a product of its factors. It helps to simplify problems, reveal patterns, and prepare expressions for solving equation...
Substitution is a powerful skill that connects algebraic expressions to real-world problems in GCSE Maths. This subcategory teaches students how to replace variables with numbers accurately, whethe...
Solving linear equations is a core skill in GCSE Maths, essential for tackling algebraic problems with confidence. This subcategory focuses on finding the value of unknowns in one-step, two-step, a...
Solving inequalities is a crucial part of GCSE Maths that extends your understanding beyond standard equations. This subcategory guides students through interpreting and solving linear inequalities...
Rearranging formulae is an essential algebra skill for GCSE Maths, helping you make any variable the subject with confidence. This subcategory teaches students how to manipulate equations step by s...
Forming equations is a vital skill that bridges real-life problems and algebraic thinking in GCSE Maths. This subcategory teaches students how to translate word problems and practical situations in...
Sequences are an important topic in GCSE Maths, helping students recognise patterns and predict future terms. This subcategory covers arithmetic and geometric sequences, including finding the nth t...
Understanding graphs of linear functions is essential for visualising relationships between variables in GCSE Maths. This subcategory guides students through plotting straight-line graphs, interpre...
Graphs of quadratic functions reveal the curved relationships between variables in GCSE Maths, providing insight into maximum, minimum, and turning points. This subcategory covers plotting parabola...
Quadratic equations are a core part of GCSE Maths, challenging students to solve problems involving squared terms. This subcategory covers multiple methods for solving quadratics, including factori...
Simultaneous equations are an essential topic in GCSE Maths, teaching students how to find solutions for two or more equations at the same time. This subcategory covers methods such as substitution...
Algebraic proof is an advanced topic in GCSE Maths, designed specifically for higher-tier students. It teaches how to demonstrate that mathematical statements are universally true, using generalise...
Inequalities on graphs are an advanced topic in GCSE Maths, aimed at higher-tier students. This subcategory teaches how to represent linear and quadratic inequalities visually, shading solution reg...
Functions are a key concept in GCSE Maths, helping students understand how one quantity depends on another. This subcategory introduces learners to function notation, input-output relationships, an...
Graph transformations are an important topic in GCSE Maths, showing how modifications to equations change the shape or position of their graphs. This subcategory explores translations, reflections,...
Angles are a fundamental part of GCSE Geometry, helping students understand the relationships between lines, shapes, and turns. This subcategory explores types of angles, angle rules in triangles a...
Triangles and quadrilaterals form the building blocks of geometry. This subcategory covers properties of different types of triangles and quadrilaterals, including side lengths, angles, symmetry, a...
Congruence and similarity are essential concepts in geometry, helping students understand when shapes are identical or proportionally scaled. This subcategory introduces criteria for congruence (SS...
Polygons are multi-sided shapes with unique properties, essential for GCSE Geometry. This subcategory explores regular and irregular polygons, interior and exterior angles, and the sum of angles in...
Circle theorems are a key part of higher-level geometry, linking angles, tangents, and chords. This subcategory introduces rules such as the angle at the centre, angles in the same segment, cyclic ...
Pythagoras’ Theorem is fundamental for solving right-angled triangle problems in GCSE Maths. This subcategory teaches students to calculate missing sides, apply the theorem in two and three dimensi...
Trigonometry is an essential tool in GCSE Maths for solving problems involving angles and sides of right-angled triangles. This subcategory covers sine, cosine, and tangent ratios, and how to apply...
Understanding 3D shapes and nets is vital for visualising solids in GCSE Geometry. This subcategory covers prisms, pyramids, spheres, cylinders, and cones, exploring properties such as faces, edges...
Transformations are a key topic in geometry, exploring how shapes move and change position. This subcategory introduces translations, rotations, reflections, and enlargements, covering coordinates,...
Coordinates are fundamental for plotting and interpreting points in GCSE Geometry. This subcategory teaches students how to read, plot, and calculate distances between points on a grid, as well as ...
Vectors are essential in GCSE Maths for representing direction and magnitude. This subcategory covers vector notation, addition, subtraction, and scalar multiplication, along with solving geometric...
Perimeter and area are fundamental concepts in geometry, vital for solving practical problems. This subcategory teaches students how to calculate perimeters and areas of triangles, quadrilaterals, ...
Surface area is crucial for understanding the total area covering three-dimensional shapes. This subcategory explores prisms, pyramids, cylinders, cones, and spheres, teaching students how to calcu...
Volume is a key measurement concept in GCSE Maths, showing the space occupied by three-dimensional objects. This subcategory covers prisms, pyramids, cylinders, cones, and spheres, teaching student...
Units and conversions are essential for accurate measurement in GCSE Maths. This subcategory teaches students to convert between metric and imperial units, length, area, volume, mass, and time. Lea...
Bearings are a practical geometry topic, teaching students to describe direction and navigate using angles from the north. This subcategory covers measuring, drawing, and interpreting bearings accu...
Loci and constructions explore the geometric places and constructions in GCSE Maths. This subcategory teaches students to draw loci using compasses, construct triangles, bisectors, perpendiculars, ...
Circle properties are fundamental for understanding relationships within and around circles. This subcategory covers radius, diameter, chords, tangents, arcs, sectors, and angles formed by lines in...
Averages are essential for summarising data in GCSE Maths. This subcategory teaches students how to calculate mean, median, mode, and range, understanding their significance in interpreting data se...
Range is a simple yet important measure of data spread in GCSE Maths. This subcategory teaches learners to calculate the difference between the largest and smallest values, interpret variability, a...
Pictograms use images or symbols to represent data, making it visually accessible. This subcategory teaches students to interpret, construct, and scale pictograms accurately. Step-by-step examples ...
Bar charts are key for displaying and comparing categorical data in GCSE Maths. This subcategory teaches students how to construct, read, and interpret vertical and horizontal bar charts, including...
Pie charts help students represent data as proportional segments in GCSE Maths. This subcategory teaches how to calculate angles, construct accurate charts, and interpret percentages visually. Step...
Frequency tables are a fundamental tool for organising and analysing data sets. This subcategory teaches students to create tables, group data, calculate totals, and interpret patterns. Step-by-ste...
Histograms are essential for displaying continuous data in GCSE Maths. This subcategory teaches students to construct, read, and interpret histograms, understanding frequency density and class inte...
Cumulative frequency is a method for understanding data accumulation and distribution. This subcategory teaches students to calculate cumulative totals, construct cumulative frequency tables and gr...
Box plots provide a visual summary of data distribution, highlighting medians, quartiles, and extremes. This subcategory teaches students to construct, read, and interpret box plots accurately, inc...
Scatter graphs are used to explore relationships between two variables in GCSE Maths. This subcategory teaches students how to plot points, interpret correlation, and identify trends or anomalies. ...
Sampling is a key concept in statistics, teaching students how to collect representative data sets. This subcategory covers different sampling methods, including random, stratified, and systematic ...
Questionnaires are an essential tool for gathering data in GCSE Maths. This subcategory teaches students to design effective questions, structure surveys, and collect accurate information while avo...
Misleading graphs teach students to critically evaluate visual data representations in GCSE Maths. This subcategory explores common ways graphs can distort information, including scales, omitted da...
Probability basics introduce learners to the concept of chance in GCSE Maths. This subcategory teaches students how to express probability as a fraction, decimal, or percentage, and understand outc...
Probability scale explores how to represent chance on a continuous scale from 0 to 1. This subcategory teaches students to assign probabilities, compare likelihoods, and interpret values in fractio...
Listing outcomes is a fundamental skill for probability, helping students systematically identify all possible results of an experiment. This subcategory covers generating outcome lists for single ...
Two-way tables help students organise and analyse probabilities involving two variables. This subcategory teaches learners to complete tables, calculate joint, marginal, and conditional probabiliti...
Venn diagrams provide a visual method for representing overlapping events in probability. This subcategory teaches students how to organise outcomes, calculate probabilities of unions, intersection...
Mutually exclusive events are events that cannot occur together. This subcategory teaches students how to identify such events, calculate combined probabilities, and apply addition rules. Step-by-s...
Tree diagrams are a systematic way to visualise all possible outcomes in multi-stage probability experiments. This subcategory teaches students how to construct diagrams, calculate probabilities al...
Conditional probability examines the likelihood of an event given that another event has occurred. This subcategory teaches students to calculate probabilities using formulas, tables, and diagrams,...
Relative frequency introduces learners to probability through experiments and data collection. This subcategory teaches students to calculate probabilities by observing outcomes, recording frequenc...
This subcategory teaches students to compare theoretical probabilities with experimental results, understanding why differences occur. Learners explore patterns, randomness, and the law of large nu...
Simplifying ratios is a fundamental skill in GCSE Maths, helping students express relationships between quantities in their simplest form. This subcategory teaches learners to reduce ratios using c...
Sharing in a ratio involves dividing quantities proportionally according to a given ratio. This subcategory covers dividing amounts into parts, mixing ratios, and applying reasoning to practical sc...
Direct proportion explores relationships where one quantity increases or decreases in exact correspondence with another. This subcategory teaches students to identify directly proportional quantiti...
Inverse proportion examines situations where one quantity increases as another decreases, maintaining a constant product. This subcategory teaches students to recognise inverse relationships, calcu...
Best value focuses on comparing options to determine the most efficient or cost-effective choice. This subcategory teaches learners to calculate unit prices, ratios, and percentages to make informe...
Currency conversion teaches students to work with exchange rates to calculate equivalent values between currencies. This subcategory covers multiplying and dividing by rates, converting in both dir...
Recipes and scaling involve adjusting quantities proportionally to make different amounts of a mixture or meal. This subcategory teaches students to scale ingredients up or down using ratios, fract...
Speed, distance, and time problems explore how quantities relate through the formula Speed = Distance ÷ Time, Distance = Speed × Time, and Time = Distance ÷ Speed. This subcategory covers calculati...
Density, mass, and volume problems connect physical measurements through the formula Density = Mass ÷ Volume. This subcategory teaches students to calculate unknown quantities, convert units, and a...
Compound measures combine multiple quantities, such as speed, density, or pressure, to solve real-world problems. This subcategory teaches students to calculate, convert, and apply compound units s...
Growth and decay problems explore proportional changes over time, including percentages, interest, and population or substance changes. This subcategory teaches students to apply formulas for expon...
Percentage change is a key skill in GCSE Maths for analysing increases or decreases in quantities. This subcategory teaches learners to calculate percentage increases, decreases, and overall change...
A complete GCSE guide to solving restricted-sample problems with Venns, trees, and formulas.
Master unitary methods, constants of proportionality, and straight-line graphs through the origin
Master expanding single and double brackets, and learn to reverse the process through factorisation
From basics to adding, subtracting, multiplying & dividing with confidence
Learn how to build, interpret, and apply frequency tables to estimate the mean, median, mode, and connect data to histograms, cumulative frequency graphs, and box plots.
Master the constant product rule, reciprocal scaling, and real-life applications
Learn how to substitute values into expressions, equations, and formulas with confidence — from simple calculations to real-life applications in geometry, physics, and finance.
From Indices to Surds — Mastering the Laws of Exponents
Finding missing lengths in right-angled triangles
From raw values to box plots, learn how to calculate and interpret the range to show consistency and variability in GCSE Statistics.
Learn to scale ingredients up or down, handle unit conversions, and apply ratio reasoning to real-life recipe problems
Master one-step, two-step, and multi-step equations — with brackets, fractions, decimals, and inequalities — through clear methods, worked examples, and real-world applications.
Learn how to write, calculate, and simplify numbers using powers of ten
Master bar charts, pie charts, histograms, box plots, scatter graphs, and more to understand, compare, and interpret data at GCSE level.
Calculating the total area of 3D shapes
A step-by-step guide to with/without replacement and multi-step probability at GCSE.
A complete GCSE guide to organising sets and solving probability problems.
Calculating the space inside 3D shapes
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