A-levelNumber and algebra
Surds
Exact roots, simplification, rationalisation, and equations involving surds.
1 lesson47 worksheets259 questions
Lessons
These free MathLab Learn guides are arranged in the order they are most useful for this stage.
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- IntroPractice
Simplifying surds
Step 1 · 16 worksheets · 141 questions
- Simplify SurdsIndices And Surds · 19 questionsPractise in MathLab →
- Simplify Products Of SurdsIndices And Surds · 6 questionsPractise in MathLab →
- Simplify Sums Of SurdsIndices And Surds · 6 questionsPractise in MathLab →
- Simplify Surd FractionIndices And Surds · 1 questionPractise in MathLab →
- Simplify Cube RootsIndices And Surds · 1 questionPractise in MathLab →
- Simplify SurdsMixed Algebra · 2 questionsPractise in MathLab →
- SimplifyIndices And Surds · 24 questionsPractise in MathLab →
- Simplify Set 6Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 7Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 8Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 9Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 10Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 11Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 12Indices And Surds · 2 questionsPractise in MathLab →
- SimplifyMixed Algebra · 2 questionsPractise in MathLab →
- Simplify Rational Surd ExpressionsIndices And Surds · 6 questionsPractise in MathLab →
- Practice
Expressing surds in required forms
Step 2 · 8 worksheets · 37 questions
- Express In Surd FormIndices And Surds · 2 questionsPractise in MathLab →
- Express In The Form A B Sqrt 3Indices And Surds · 6 questionsPractise in MathLab →
- Express In The Form K Sqrt 2Indices And Surds · 6 questionsPractise in MathLab →
- Express Surd Expressions In The Required FormIndices And Surds · 5 questionsPractise in MathLab →
- Express Surds In The Required FormIndices And Surds · 4 questionsPractise in MathLab →
- Express In The Form A Plus B Root 2Mixed Algebra · 2 questionsPractise in MathLab →
- In Form A + B Root 3Indices And Surds · 6 questionsPractise in MathLab →
- In Form K Root 2Indices And Surds · 6 questionsPractise in MathLab →
- Practice
Rationalising surd expressions
Step 3 · 6 worksheets · 57 questions
- Simplify And RationaliseIndices And Surds · 2 questionsPractise in MathLab →
- Rationalise A Surd ExpressionIndices And Surds · 1 questionPractise in MathLab →
- Rationalise DenominatorIndices And Surds · 2 questionsPractise in MathLab →
- Rationalise DenominatorsIndices And Surds · 32 questionsPractise in MathLab →
- Express With A Rational DenominatorIndices And Surds · 12 questionsPractise in MathLab →
- Express With A Rational Denominator 2Indices And Surds · 8 questionsPractise in MathLab →
- PracticeChallenge
Algebraic work with surds
Step 4 · 9 worksheets · 11 questions
- Expand SurdsIndices And Surds · 1 questionPractise in MathLab →
- Surds And Algebraic ExpansionMixed Algebra · 2 questionsPractise in MathLab →
- Find Rational ConstantsIndices And Surds · 1 questionPractise in MathLab →
- Compare Surd CoefficientsIndices And Surds · 1 questionPractise in MathLab →
- SurdsMixed Algebra · 1 questionPractise in MathLab →
- Substitution With A Square RootMixed Algebra · 1 questionPractise in MathLab →
- Surds And BoundsMixed Algebra · 1 questionPractise in MathLab →
- Indices And SurdsMixed Algebra · 2 questionsPractise in MathLab →
- Equation With A Square RootMixed Algebra · 1 questionPractise in MathLab →
- Challenge
Surd equations and applications
Step 5 · 8 worksheets · 13 questions
- Solve Equations Involving SurdsIndices And Surds · 4 questionsPractise in MathLab →
- Solve The EquationMixed Algebra · 1 questionPractise in MathLab →
- Solve The Surd EquationMixed Algebra · 1 questionPractise in MathLab →
- Simplify And Solve Surd EquationIndices And Surds · 1 questionPractise in MathLab →
- Solve Equations In SurdsMixed Algebra · 2 questionsPractise in MathLab →
- Apply Surds In A Right Angled TriangleIndices And Surds · 1 questionPractise in MathLab →
- Area Of A RectangleIndices And Surds · 1 questionPractise in MathLab →
- MixedIndices And Surds · 2 questionsPractise in MathLab →
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