Year 10 skills
Numbers
Tests
Numbers: Prime numbers- Numbers: Numbers have a given set of digits
- Numbers: Prime factor decomposition
Skills
- Identify prime numbers
- Identify factors
- Prime factorisation
- Identify rational and irrational numbers
- Simplification of square and cubic roots
- Addition and subtraction of square roots
- Approximation of the square root
- Approximation of the cube root
- Order of operations
- Evaluate expressions involving exponents
- Finding values based on ratios
- Evaluate percentages
Challenge Count occurrence of digits- Challenge How many numbers have a given set of digits
- Challenge Numeric sequences from geometric shapes
- Challenge Prime factor decomposition
- Challenge Special numbers
- Challenge Level 1: Find integer solutions to linear equations
- Challenge Level 2: Find integer solutions to linear equations
- Order and compare numbers by magnitude
- Standard form - scientific notation
- Upper and lower bounds of a rounded measurement
- Calculating with time
Financial mathematics
Skills
Algebra
Tests
- Algebra: Quadratic turning point
- Algebra: Symbolic substitution in algebraic expressions
- Algebra: Linear equations
- Algebra: Rational expressions
- Algebra: Factorising polynomials
- Algebra: Integer indices
- Algebra: Solve the quadratic equation by factorisation
Skills
- Arithmetic sequences
- Geometric sequences
- Coefficients and constants
- Level 1: Simplification and expansion of algebraic expressions
Cheat sheet on the topic - Level 2: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 1: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 2: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 3: Addition and subtraction of rational expressionsCheat sheet on the topic
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indicesCheat sheet on the topic
- Rational indicesCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Linear equations involving fractionsCheat sheet on the topic
- Transposing formulasCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
- Word problems involving inequalities in a single variable
- Level 1: The quadratic equation discriminantCheat sheet on the topic
Historical note - Level 2: The quadratic equation discriminantCheat sheet on the topicHistorical note
- Level 1: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Level 2: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Level 3: Solve the quadratic equation by factorisationCheat sheet on the topicHistorical note
- Quadratic models
- Completing the squareCheat sheet on the topic
- Level 1: Quadratic turning pointCheat sheet on the topic
- Level 2: Quadratic turning pointCheat sheet on the topic
- Factorisation
- Level 1: Factorising polynomials
- Level 2: Factorising polynomials
- Level 3: Factorising polynomials
- Long division of polynomialsCheat sheet on the topic
- Remainder and factor from long division of polynomials
- Solving simultaneous linear equationsCheat sheet on the topic
- Simultaneous linear equations word problemsCheat sheet on the topic
Exponentials and logarithms
Skills
Coordinate geometry
Tests
- Coordinate geometry: Transformation of a points on a plane
- Coordinate geometry: Coordinates of a planar shape from a line
Skills
- Linear intercepts
- Level 1: Distance between points on a line and the midpoint
- Level 2: Distance between points on a line and the midpoint
- The gradient of a line
- Transformation of a line
- Coordinates of points on a line
- The parabola
- Sketch the parabola
- Level 1: System of linear inequalities in two variables
- Level 2: System of linear inequalities in two variables
- Intersection of two graphs
- Level 1: Coordinate of a point on a line given the length
- Level 2: Coordinate of a point on a line given the length
- Coordinates of a planar shape from a line
- Level 1: Point position relative to a circle
- Level 2: Point position relative to a circle
- Level 1: Equation of a circle
- Level 2: Equation of a circle
- Level 1: Radius of a circle from its equation
- Level 2: Radius of a circle from its equation
- Level 1: Recognise the equation of a circle
- Level 2: Recognise the equation of a circle
- Level 1: Point position relative to a parabola
- Level 2: Point position relative to a parabola
- Level 1: Parabolas with no x-intercepts
- Level 2: Parabolas with no x-intercepts
- Level 1: Direction a parabola opens
- Level 2: Direction a parabola opens
- Number of intersections between a line and a parabola
- Tangent line to a parabola
- Point of intersection of a line and a parabola
- Level 1: Point position relative to a hyperbola
- Level 2: Point position relative to a hyperbola
- Level 1: Equation of a hyperbola
- Level 2: Equation of a hyperbola
- Level 1: Asymptotes of a hyperbola
- Level 2: Asymptotes of a hyperbola
- Level 1: Recognise the equation of a hyperbola
- Level 2: Recognise the equation of a hyperbola
Geometry
Tests
- Geometry: Circle theorems involving chords
- Geometry: Area of a compound shape
- Geometry: Angle in a triangle
Skills
- Pythagoras' theorem
- Congruent triangles
- Circle theorems involving chords, secants and tangents
- Theorem on cyclic quadrilaterals
- Calculate the area of a compound shape
- Level 1: Circumference of a circle
- Level 2: Circumference of a circle
- Angles in a circle
- Level 1: Calculate the properties of compound planar shapes
- Calculate the properties of basic three-dimensional shapes
- Level 1: Calculate the surface area of a pyramid
- Level 2: Calculate the surface area of a pyramid
- Covering shapes with tiles
- Classify angle types
- Line and rotational symmetry
- Convert metric units
Trigonometry
Tests
Skills
- Conversions between radians and degrees
- Calculations involving bearings
- Angle of elevation and angle of depression
- Evaluate trigonometric functions
- Sketch trigonometric functions
- Trigonometric functions and triangles
- The sine and cosine laws
- Trigonometric relations involving circles
- Trigonometric relations involving complex geometric shapes
Discrete mathematics
Skills
Calculus
Set theory
Skills
Functions and relations
Tests
Skills
Probability
Skills
Statistics
Tests
Skills
- Summary and spread of data
- Understanding bar charts
- Understanding pie charts
- Understanding scatter plots
- Understanding stem-and-leaf plots
- Stem-and-leaf plots of decimal data
- Skewness of the stem-and-leaf plot
- Understanding frequency tables
- Understanding histograms
- Level 1: Understanding box plots
- Level 2: Understanding box plots
Graph theory