Topic guides
KS3 Maths, topic by topic.
82 free guides covering Number, Algebra, Ratio and Proportion, Geometry and Measures, Probability and Statistics - each with a plain-English explanation, a worked example, practice questions and exam-style questions with full mark schemes. Every guide links to a free printable worksheet, no card or account needed.
Number
Number: Integers and PowersYear 7-9 (KS3)Number: Fractions, Decimals, PercentagesYear 7-9 (KS3)Number: Standard Form and RoundingYear 7-9 (KS3)Place Value, Ordering and RoundingYear 7-9 (KS3)Four Operations with IntegersYear 7-9 (KS3)Factors, Multiples, HCF and LCMYear 7-9 (KS3)Negative NumbersYear 7-9 (KS3)Order of Operations and Calculator MethodsYear 7-9 (KS3)Fractions: Adding and SubtractingYear 7-9 (KS3)Fractions: Multiplying and DividingYear 7-9 (KS3)Percentages of Amounts and Percentage ChangeYear 7-9 (KS3)Indices and the Index LawsYear 7-9 (KS3)Standard FormYear 7-9 (KS3)Estimation and CheckingYear 7-9 (KS3)Roots, Powers and Exact ValuesYear 7-9 (KS3)
Algebra
Algebra: Expressions and FormulaeYear 7-9 (KS3)Algebra: EquationsYear 7-9 (KS3)Algebra: Sequences and GraphsYear 7-9 (KS3)Introduction to Algebraic NotationYear 7-9 (KS3)Simplifying and Collecting Like TermsYear 7-9 (KS3)Substitution into Expressions and FormulaeYear 7-9 (KS3)Function Machines and Inverse OperationsYear 7-9 (KS3)Expanding Single BracketsYear 7-9 (KS3)Factorising into Single BracketsYear 7-9 (KS3)Solving One and Two Step EquationsYear 7-9 (KS3)Equations with Brackets and Unknowns on Both SidesYear 7-9 (KS3)Writing and Using FormulaeYear 7-9 (KS3)Expanding Double BracketsYear 7-9 (KS3)Introduction to Factorising QuadraticsYear 7-9 (KS3)Linear Sequences and the nth TermYear 7-9 (KS3)Straight Line Graphs: y = mx + cYear 7-9 (KS3)Introduction to Simultaneous EquationsYear 7-9 (KS3)Inequalities and Number LinesYear 7-9 (KS3)
Ratio and Proportion
Ratio, Proportion and Rates of ChangeYear 7-9 (KS3)Writing and Simplifying RatiosYear 7-9 (KS3)Sharing in a Given RatioYear 7-9 (KS3)Ratio Problems with Totals and DifferencesYear 7-9 (KS3)Direct Proportion and the Unitary MethodYear 7-9 (KS3)Scale Drawings and MapsYear 7-9 (KS3)Percentage Change and MultipliersYear 7-9 (KS3)Inverse ProportionYear 7-9 (KS3)Compound Measures: Speed, Density and RatesYear 7-9 (KS3)Simple and Compound InterestYear 7-9 (KS3)Proportional Reasoning Problem SetYear 7-9 (KS3)
Geometry and Measures
Geometry: Angles and ShapesYear 7-9 (KS3)Geometry: Area, Perimeter and VolumeYear 7-9 (KS3)Geometry: TransformationsYear 7-9 (KS3)Angles: Lines, Points and TrianglesYear 7-9 (KS3)Properties of 2D ShapesYear 7-9 (KS3)Measuring, Drawing and ConstructingYear 7-9 (KS3)Perimeter and Area of Rectangles and TrianglesYear 7-9 (KS3)Area of Parallelograms, Trapezia and Compound ShapesYear 7-9 (KS3)Angles in Parallel LinesYear 7-9 (KS3)Angles in PolygonsYear 7-9 (KS3)Circles: Circumference and AreaYear 7-9 (KS3)Volume and Surface Area of PrismsYear 7-9 (KS3)Coordinates and Line GeometryYear 7-9 (KS3)Pythagoras' TheoremYear 7-9 (KS3)Introduction to TrigonometryYear 7-9 (KS3)Transformations: Reflection and RotationYear 7-9 (KS3)Transformations: Translation and EnlargementYear 7-9 (KS3)Congruence and SimilarityYear 7-9 (KS3)Bearings and ScaleYear 7-9 (KS3)3D Shapes, Plans and ElevationsYear 7-9 (KS3)
Probability
ProbabilityYear 7-9 (KS3)Probability Scale and Simple EventsYear 7-9 (KS3)Listing Outcomes and Sample Space DiagramsYear 7-9 (KS3)Experimental Probability and Relative FrequencyYear 7-9 (KS3)Two-Way Tables and Frequency TreesYear 7-9 (KS3)Venn Diagrams and Set NotationYear 7-9 (KS3)Tree Diagrams for Independent EventsYear 7-9 (KS3)Mixed Probability Problem SetYear 7-9 (KS3)
Statistics
StatisticsYear 7-9 (KS3)Collecting Data, Tally and Frequency TablesYear 7-9 (KS3)Bar Charts, Pictograms and Line GraphsYear 7-9 (KS3)Averages: Mean, Median, Mode and RangeYear 7-9 (KS3)Averages from Frequency TablesYear 7-9 (KS3)Pie ChartsYear 7-9 (KS3)Scatter Graphs and CorrelationYear 7-9 (KS3)Grouped Data and the Estimated MeanYear 7-9 (KS3)Comparing DistributionsYear 7-9 (KS3)Statistical Enquiry and Misleading GraphsYear 7-9 (KS3)
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