Year 9 skills
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Numbers
Skills
- Level 1: Addition and subtraction of negative numbers
Cheat sheet on the topic - Level 2: Addition and subtraction of negative numbers
- Prime numbersCheat sheet on the topic
- Prime numbers within a range of numbersCheat sheet on the topic
- Prime factorisationCheat sheet on the topic
- Highest common factor and lowest common multipleCheat sheet on the topic
- Simplify fractions PremiumCheat sheet on the topic
- Recurring decimals
- Evaluate expressions involving exponents Cheat sheet on the topic
- Simplification of square and cubic rootsPremiumCheat sheet on the topic
- Identify rational and irrational numbersPremium
- Level 1: Scientific notationCheat sheet on the topic
- Level 2: Scientific notationPremiumCheat sheet on the topic
- Evaluate percentagesCheat sheet on the topic
- Percentage change Cheat sheet on the topic
- Finding values based on ratiosCheat sheet on the topic
- Solving proportionality relationshipsCheat sheet on the topic
- Absolute, relative and percentage error
Challenge Level 1: Find integer solutions to linear equations- Challenge Level 2: Find integer solutions to linear equationsPremium
- Challenge Level 1: Find the right arithmetic operations
- Challenge Level 2: Find the right arithmetic operationsPremium
- Challenge Level 3: Find the right arithmetic operationsPremium
- Challenge Level 1: Finding the missing number in a pattern
- Challenge Level 2: Finding the missing number in a patternPremium
- Challenge Count occurrence of digitsPremium
- Challenge How many numbers have a given set of digitsPremium
- Challenge Numeric sequences from geometric shapesPremium
- Challenge Prime factor decompositionPremiumCheat sheet on the topic
- Challenge Special numbersPremiumCheat sheet on the topic
- Challenge SudokuPremiumCheat sheet on the topic
Financial mathematics
Skills
Algebra
Tests
Algebra: Simplify, add and subtract rational algebraic expressionsPremium- Algebra: Solve linear equations and simultaneous linear systemsPremium
Skills
- Level 1: Coefficients and constants
- Level 2: Coefficients and constantsPremium
- Level 3: Coefficients and constantsPremium
- Level 1: Simplification and expansion of algebraic expressions
- Level 2: Simplification and expansion of algebraic expressionsPremium
- Level 3: Simplification and expansion of algebraic expressionsPremiumCheat sheet on the topic
- Level 1: Evaluate the exponent of an exponentCheat sheet on the topic
- Level 2: Evaluate the exponent of an exponentPremium
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indices PremiumCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equations Cheat sheet on the topic
- Linear equations involving fractionsCheat sheet on the topic
- Level 1: Solve word equationsCheat sheet on the topic
- Level 2: Solve word equationsPremium
- Solve symbolic linear equationsCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
- Solving simultaneous linear equations
- Level 1: Factorisation
- Factorise a monic trinomial
- Level 2: FactorisationPremium
- Factorise a non-monic trinomial
- Factorise difference of squares Cheat sheet on the topic
- Level 1: Factorising polynomials
- Level 2: Factorising polynomialsPremium
- Level 3: Factorising polynomialsPremium
- The null factor lawPremium
- Level 1: Solve the quadratic equation by factorisation Cheat sheet on the topic
- Level 2: Solve the quadratic equation by factorisation Premium
- Solve a quadratic equation by factorising
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsPremiumCheat sheet on the topic
- Multiply and divide algebraic fractions
- Level 1: Addition and subtraction of rational expressionsPremiumCheat sheet on the topic
- Level 2: Addition and subtraction of rational expressionsPremiumCheat sheet on the topic
- Level 3: Addition and subtraction of rational expressionsPremium
- Add and subtract algebraic fractions with a factorised numerator
- Equations with an algebraic fraction
Geometry
Tests
- Geometry: Find unknown angles in triangles and circlesPremium
- Geometry: Triangle angles, congruence and similarityPremium
Skills
- Parallel and non-parallel lines
- Level 1: Find the unknown angle
- Level 2: Find the unknown anglePremium
- Level 3: Find the unknown anglePremium
- Level 1: Solve an equation to find the unknown angle in a triangle
- Level 2: Solve an equation to find the unknown angle in a trianglePremium
- Deciding if a polygon is convex or concave
- Properties of polygons
- Calculate the properties of basic planar shapes
- Congruent triangles
- Level 1: Object reflection and rotation
- Level 2: Object reflection and rotationPremium
- Similar triangles
- Pythagoras theorem
- Level 2: Calculate the properties of basic planar shapesPremium
- Level 1: Circumference of a circle
- Level 2: Circumference of a circlePremium
- Level 1: Calculate the properties of compound planar shapes
- Level 2: Calculate the properties of compound planar shapes
- Calculate the area of a compound shape
- Calculate the area of a triangle using Heron's formula
- Level 1: Covering shapes with tiles
- Level 2: Covering shapes with tiles
- Calculate the properties of basic three-dimensional shapes
- Surface area of basic shapes
- Level 1: Calculate the surface area of a pyramid
- Level 2: Calculate the surface area of a pyramidPremium
- Level 1: Count composite shapes
- Level 2: Count composite shapesPremium
Coordinate geometry
Tests
Skills
- Identify coordinates of points on a plane
- Midpoint of a line
- Coordinates of the midpoint of a line
- Coordinates of points on a line
- Level 1: Distance between points on a line and the midpoint
- Level 2: Distance between points on a line and the midpointPremium
- The gradient of a line
- Decide if a point is on a line
- Linear intercepts
- Level 1: Rotation of a point on a grid
- Level 2: Rotation of a point on a gridPremium
- Level 1: Transformation of a points on a plane
- Level 2: Transformation of a points on a planePremium
- Level 1: Rotation of a line on a grid
- Level 2: Rotation of a line on a grid
- Level 1: Rotation of a triangle on a gridPremium
- Level 2: Rotation of a triangle on a gridPremium
- Level 1: Transformation of a shape on a grid
- Level 2: Transformation of a shape on a grid
- Direction of a parabolaPremium
- Intercepts of a parabolaPremium
- Axis of symmetry and turning point of a parabola
- Properties of the parabola
Trigonometry
Skills
Set theory
Skills
Probability
Skills
- Probability of simple events
- Probability from two-way tables
- Probability from a Venn diagram
- Converting between a Venn diagram and a two-way tablePremium
- Probability of compound events
- Level 1: Probabilities in two-step experiments
- Two-step experiments with replacementPremium
- Level 2: Probabilities in two-step experimentsPremium
- Two-step experiments without replacement
- Challenge Winning the tic-tac-toePremium
Statistics
Skills
- Understanding frequency tables
- Understanding bar charts
- Understanding stem-and-leaf plots
- Stem-and-leaf plots of decimal dataPremium
- The range of a data set
- Quartiles
- Interquartile range
- Summary and spread of data
- Level 1: Understanding box plots
- Level 2: Understanding box plotsPremium
- Understanding histograms
- Skewness of the stem-and-leaf plotPremium
- Skewness of histogramsPremium
- Interpreting measures of spreadPremium
Discrete mathematics