Algebra skills
Year 3
Tests
Skills
- Level 1: Find the missing digit in an addition and subtraction
- Level 2: Find the missing digit in an addition and subtraction
- Object patterns
- Level 1: Patterns of planar shapes
- Level 2: Patterns of planar shapes
- Level 1: Solving word problems involving an unknown
- Level 2: Solving word problems involving an unknown
- Level 3: Solving word problems involving an unknown
- An unknown in multiplication and division number sentences
- Multi-step problems - Follow multiple operations
- Multi-step problems - Apply operations backwords
- Solve an equation written without algebraic variables
- Balancing an addition equation
Year 4
Tests
Skills
- Level 1: Find the missing digit in an addition and subtraction
- Level 2: Find the missing digit in an addition and subtraction
- Object patterns
- Level 1: Patterns of planar shapes
- Level 2: Patterns of planar shapes
- Level 1: Solving word problems involving an unknown
- Level 2: Solving word problems involving an unknown
- Level 3: Solving word problems involving an unknown
- An unknown in multiplication and division number sentences
- Multi-step problems - Follow multiple operations
- Multi-step problems - Apply operations backwords
- Equations and unknowns
- Patterns and rules
- Function machines and rules
- Algebra word problems
- Balancing an addition equation
Year 5
Tests
Skills
- Level 1: Find the unknown in an equation
- Level 1: Solve word equations
- Level 2: Solve word equations
- Patterns and rules
- Simplifying expressions
- Solving simple equations
- Substitution and evaluating expressions
- Algebra word problems
- Solve linear equations with brackets
Year 6
Tests
Algebra: Solve word equations- Algebra: Simplification and expansion of algebraic expressions
- Algebra: Solve inequalities in a single variable
Skills
- Evaluate algebraic expressions
- Simplify algebraic expressions
- Understanding coefficients
- Numeric substitution in algebraic expressions
- Level 1: Solve simple equations
- Level 2: Solve simple equations
- Level 3: Solve simple equations
- Level 1: Simple equations with brackets
- Level 2: Simple equations with brackets
- Level 1: Solve word equations
- Level 2: Solve word equations
- Inequalities
- Patterns
Year 7
Tests
- Algebra: Simplification and expansion of algebraic expressions
- Algebra: Solve inequalities in a single variable
Skills
- Level 1: coefficients and constants
Cheat sheet on the topic - Level 2: coefficients and constants Cheat sheet on the topic
- Level 3: coefficients and constantsCheat sheet on the topic
- Level 1: Simplification and expansion of algebraic expressionsCheat 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
- Numeric substitution in simple algebraic expressionsCheat sheet on the topic
- Numeric substitution in algebraic expressionsCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve simple linear equationsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Level 1: Solve word equations
- Level 2: Solve word equations
- Solve inequalities in a single variableCheat sheet on the topic
Year 8
Tests
- Algebra: Simplification of rational algebraic expressions
- Algebra: Solve inequalities in a single variable
- Algebra: Substitution in algebraic expressions
Skills
- Level 1: Simplification and expansion of algebraic expressionsCheat 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
- Simplification of algebraic expressions involving integer indicesCheat sheet on the topic
- Numeric substitution in algebraic expressionsCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Level 1: Solve word equations
- Level 2: Solve word equations
- Solve inequalities in a single variableCheat sheet on the topic
Year 9
Tests
- Algebra: Substitution in algebraic expressions
- Algebra: Addition and subtraction of rational expressions
- Algebra: Linear equations
- Algebra: Solve the quadratic equation by factorisation
Skills
- Level 1: Simplification and expansion of algebraic expressions
- Level 2: Simplification and expansion of algebraic expressions
- Level 3: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 1: Factorisation
- Level 2: Factorisation
- 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 expressions
- Level 1: Evaluate the exponent of an exponentCheat sheet on the topic
- Level 2: Evaluate the exponent of an exponent
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indices Cheat sheet on the topic
- Level 1: Coefficients and constants
- Level 2: Coefficients and constants
- Level 3: Coefficients and constants
- Factorise difference of squares Cheat sheet on the topic
- Level 1: Factorising polynomials
- Level 2: Factorising polynomials
- Level 3: Factorising polynomials
- 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 equations
- Solve symbolic linear equationsCheat sheet on the topic
- Solve inequalities in a single variableCheat sheet on the topic
- Level 1: Solve the quadratic equation by factorisationCheat sheet on the topic
- Level 2: Solve the quadratic equation by factorisation
- Solving simultaneous linear equations
Year 10
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 expressionsCheat 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
Year 11
Tests
- Algebra: Quadratic models
- Algebra: Linear equations
- Algebra: Simplification and expansion of algebraic expressions
- Algebra: Long division of polynomials
- Algebra: Integer indices
- Algebra: Solve the quadratic equation by factorisation
Skills
- Simplify nested surds
- Rationalise a binomial surd denominator
- Simplification and expansion of algebraic expressions
- Factorisation
- Simplification of rational algebraic expressions
- Symbolic substitution in algebraic expressions
- Rewrite rational expressions
- Solve linear equations
- Greatest common divisor of algebraic expressions
- Transposing formulas
- Solving inequalities
- Solving simultaneous linear equations
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous linear equations word problems
- Level 1: Integer indices
- Level 2: Integer indices
- Level 3: Integer indices
- Level 1: Rational indices
- Level 2: Rational indices
- Factorising polynomials
- Polynomial coefficients and constants
- Binomial theorem problem solving and identities
- Level 1: Solve the quadratic equation by factorisation
- Level 2: Solve the quadratic equation by factorisation
- Level 3: Solve the quadratic equation by factorisation
- Completing the square
- Level 1: Quadratic turning point
- Level 2: Quadratic turning point
- The general quadratic formula
- Level 1: The quadratic equation discriminant
- Level 2: The quadratic equation discriminant
- Solving quadratic inequalities
- Level 1:Solving exponential inequalities
- Level 2:Solving exponential inequalities
- Quadratic models
- Level 1: Long division of polynomials
- Level 2: Long division of polynomials
- Level 3: Long division of polynomials
- Level 1: Factorisation of the cubic equation
- Level 2: Factorisation of the cubic equation
- Level 1: The cubic equation
- Level 2: The cubic equation
- Solving cubic inequalities
- Partial sums of arithmetic series
- Limiting behaviour of geometric sequences
- Sum of the first n terms of a geometric sequence
Year 12
Tests
Skills
- Simplify nested surds
- Rationalise a binomial surd denominator
- Simplification and expansion of algebraic expressions
- Simplification of rational algebraic expressions
- Simplification of algebraic expressions involving integer indices
- Simplification of algebraic expressions involving rational indices
- Long division of polynomials
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous nonlinear equations
- Partial sums of arithmetic series
- Level 1: Solving inequalities using sign charts
- Level 2: Solving inequalities using sign charts