Algebra skills
Year 2
Skills
Year 3
Skills
- Object patterns
- Level 1: Patterns of planar shapes
- Level 2: Patterns of planar shapesPremium
- Solve an equation written without algebraic variables
- Balancing an addition equation
- Level 1: Find the missing digit in an addition and subtraction
- Level 2: Find the missing digit in an addition and subtractionPremium
- Level 1: Solving word problems involving an unknown
- Level 2: Solving word problems involving an unknownPremium
- Level 3: Solving word problems involving an unknownPremium
- An unknown in multiplication and division number sentences
- Multi-step problems - Follow multiple operations
- Multi-step problems - Apply operations backwords
Year 4
Tests
Skills
- Object patterns
- Level 1: Patterns of planar shapes
- Level 2: Patterns of planar shapesPremium
- Patterns and rules
- Equations and unknowns
- Balancing an addition equation
- Level 1: Find the missing digit in an addition and subtraction
- Level 2: Find the missing digit in an addition and subtraction
- Level 1: Solving word problems involving an unknown
- Level 2: Solving word problems involving an unknownPremium
- Level 3: Solving word problems involving an unknownPremium
- An unknown in multiplication and division number sentences
- Multi-step problems - Follow multiple operations
- Multi-step problems - Apply operations backwords
- Function machines and rules
- Algebra word problemsPremium
Year 5
Tests
Skills
- Simplifying expressions
- Substitution and evaluating expressions
- Patterns and rules
- Level 1: Find the unknown in an equation
- Level 2: Find the unknown in an equation
- Level 1: Solve word equations
- Level 2: Solve word equationsPremium
- Solving simple equations
- Algebra word problemsPremium
- Solve linear equations with brackets
Year 6
Tests
Skills
- Understanding coefficients
- Simplify algebraic expressions
- Evaluate algebraic expressions
- Numeric substitution in algebraic expressions
- Patterns
- Level 1: Solve simple equations
- Level 2: Solve simple equationsPremium
- Level 3: Solve simple equationsPremium
- Level 1: Simple equations with brackets
- Level 2: Simple equations with brackets Premium
- Level 1: Solve word equations
- Level 2: Solve word equationsPremium
- InequalitiesPremium
Year 7
Tests
Skills
- Level 1: coefficients and constants
Cheat sheet on the topic - Level 2: coefficients and constants PremiumCheat sheet on the topic
- Level 3: coefficients and constantsPremiumCheat sheet on the topic
- Level 1: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressionsPremiumCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsPremiumCheat sheet on the topic
- Numeric substitution in simple algebraic expressionsCheat sheet on the topic
- Numeric substitution in algebraic expressionsPremiumCheat sheet on the topic
- Symbolic substitution in algebraic expressionsPremiumCheat sheet on the topic
- Solve simple linear equationsCheat sheet on the topic
- Solve linear equationsCheat sheet on the topic
- Equations with a fractional coefficient
- Level 1: Solve word equations
- Level 2: Solve word equationsPremium
- One-step equations
- Two-step equations
- Solve equations by backtrackingPremium
- Solve inequalities in a single variableCheat sheet on the topic
- Inequalities on a number linePremium
Year 8
Skills
- Level 1: Simplification and expansion of algebraic expressionsCheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressionsPremiumCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsPremiumCheat 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
- Equations with a fractional coefficientPremium
- Level 1: Solve word equations
- Level 2: Solve word equationsPremium
- Equations with brackets on both sides
- Inequalities with a negative coefficientPremium
- Solve inequalities in a single variableCheat sheet on the topic
- Solve and write linear inequalities
- Inequalities on a number linePremium
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsPremiumCheat sheet on the topic
Year 9
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
Year 10
Premium exam preparation Parent Plus
Tests
- Algebra: Quadratic equations: factorisation, discriminants, turning points, modellingPremium
- Algebra: Solve linear equations and simultaneous linear systemsPremium
- Algebra: Simplify, add and subtract rational algebraic expressionsPremium
- Algebra: Polynomial factorisation, division and remainder theoremsPremium
- Algebra: Simplify expressions using integer and rational indicesPremium
- Algebra: Solve quadratic equations by factorisationPremium
Skills
- Coefficients and constants Premium
- Degree and leading coefficient of a polynomial
- Level 1: Simplification and expansion of algebraic expressions Cheat sheet on the topic
- Level 2: Simplification and expansion of algebraic expressions PremiumCheat sheet on the topic
- Level 3: Simplification and expansion of algebraic expressionsPremiumCheat sheet on the topic
- Level 1: Integer indicesCheat sheet on the topic
- Level 2: Integer indicesPremiumCheat sheet on the topic
- Rational indicesCheat sheet on the topic
- Symbolic substitution in algebraic expressionsCheat sheet on the topic
- Arithmetic sequences
- Geometric sequences
- Solve linear equationsCheat sheet on the topic
- Linear equations involving fractionsCheat sheet on the topic
- Solving simultaneous linear equationsCheat sheet on the topic
- Simultaneous linear equations word problemsPremiumCheat 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
- Completing the squareCheat 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 polynomialsPremium
- Adding and subtracting polynomials
- Multiplying a polynomial by a binomial
- The remainder theorem
- The factor theorem
- Solving a cubic equation from its factorsPremium
- 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
- Level 1: Quadratic turning pointCheat sheet on the topic
- Level 2: Quadratic turning pointCheat sheet on the topic
- Level 1: Simplification of rational algebraic expressionsCheat sheet on the topic
- Level 2: Simplification of rational algebraic expressionsPremiumCheat 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
Year 11
Tests
- Algebra: Quadratic equations: factorisation, discriminants, turning points, modelling, the quadratic formulaPremium
- Algebra: Solve linear equations and simultaneous linear systemsPremium
- Algebra: Simplify and expand algebraic expressionsPremium
- Algebra: Polynomial factorisation, division and remainder theoremsPremium
- Algebra: Simplify expressions using integer and rational indicesPremium
Skills
- Polynomial coefficients and constants
- Simplification and expansion of algebraic expressions
- Level 1: Integer indices
- Level 2: Integer indices
- Level 3: Integer indices
- Level 1: Rational indices
- Level 2: Rational indices
- Symbolic substitution in algebraic expressions
- Limiting behaviour of geometric sequences
- Solve linear equations
- Solving simultaneous linear equations
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous linear equations word problems
- Level 1: The cubic equation
- Level 2: The cubic equation
- Level 1: Solving exponential inequalities
- Level 2: Solving exponential inequalities
- Simplify nested surds
- Greatest common divisor of algebraic expressions
- Transposing formulas
- Algebra of absolute-value functions
- Solving inequalities
- Binomial theorem problem solving and identities
- Completing the square
- Solving cubic inequalities
- Partial sums of arithmetic series
- Sum of the first n terms of a geometric sequence
- Factorisation
- Factorising polynomials
- Level 1: Factorisation of the cubic equation
- Level 2: Factorisation of the cubic equation
- Level 1: Long division of polynomials
- Level 2: Long division of polynomials
- Level 3: Long division of polynomials
- Level 1: Solve the quadratic equation by factorisation
- Level 2: Solve the quadratic equation by factorisation
- Level 3: Solve the quadratic equation by factorisation
- 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
- Quadratic models
- Rationalise a binomial surd denominator
- Simplification of rational algebraic expressions
- Rewrite rational expressions
Year 12
Skills
- Simplification and expansion of algebraic expressions
- Simplification of algebraic expressions involving integer indices
- Simplification of algebraic expressions involving rational indices
- Simultaneous linear equations in three unknowns
- Simultaneous linear equations in four unknowns
- Simultaneous nonlinear equations
- Simplify nested surds
- Partial sums of arithmetic series
- Algebra of absolute-value functions
- Level 1: Solving inequalities using sign charts
- Level 2: Solving inequalities using sign charts
- Long division of polynomials
- Rationalise a binomial surd denominator
- Simplification of rational algebraic expressions