A-levelNumber and algebra
Indices
Laws of indices, exact powers, fractional indices, and exponential manipulation.
2 lessons43 worksheets364 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.
- Intro
Evaluating powers and index expressions
Step 1 · 11 worksheets · 144 questions
- EvaluateIndices And Surds · 24 questionsPractise in MathLab →
- Evaluate Set 2Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 3Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 4Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 5Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 6Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 7Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 8Indices And Surds · 12 questionsPractise in MathLab →
- Evaluate Set 9Indices And Surds · 12 questionsPractise in MathLab →
- Work OutIndices And Surds · 12 questionsPractise in MathLab →
- Work Out Set 2Indices And Surds · 12 questionsPractise in MathLab →
- Practice
Expanding and simplifying with index laws
Step 2 · 6 worksheets · 72 questions
- Expand And SimplifyIndices And Surds · 12 questionsPractise in MathLab →
- Expand And Simplify Set 2Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 2Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 3Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 4Indices And Surds · 12 questionsPractise in MathLab →
- Simplify Set 5Indices And Surds · 12 questionsPractise in MathLab →
- Practice
Writing index expressions in equivalent forms
Step 3 · 11 worksheets · 76 questions
- Write In The Form 2 NIndices And Surds · 6 questionsPractise in MathLab →
- Express In Form 2^kIndices And Surds · 6 questionsPractise in MathLab →
- Express In The Form 2 KIndices And Surds · 6 questionsPractise in MathLab →
- Express In Form 3^yIndices And Surds · 6 questionsPractise in MathLab →
- Express In The Form 3 YIndices And Surds · 6 questionsPractise in MathLab →
- Express In Form Ax^bIndices And Surds · 6 questionsPractise in MathLab →
- Express In The Form Ax BIndices And Surds · 6 questionsPractise in MathLab →
- Express In The Form X KIndices And Surds · 8 questionsPractise in MathLab →
- Express In Form X^kIndices And Surds · 8 questionsPractise in MathLab →
- In The Form 2^nIndices And Surds · 6 questionsPractise in MathLab →
- Express In Terms Of YIndices And Surds · 12 questionsPractise in MathLab →
- Practice
Fractional indices and substitution
Step 4 · 7 worksheets · 33 questions
- Fractional Indices And SubstitutionMixed Algebra · 1 questionPractise in MathLab →
- Manipulate Fractional IndicesIndices And Surds · 2 questionsPractise in MathLab →
- Powers And Fractional IndicesMixed Algebra · 2 questionsPractise in MathLab →
- PowersMixed Algebra · 2 questionsPractise in MathLab →
- Find The ValueMixed Algebra · 2 questionsPractise in MathLab →
- Find XIndices And Surds · 12 questionsPractise in MathLab →
- Find The Value Of XIndices And Surds · 12 questionsPractise in MathLab →
- Challenge
Solving equations with indices
Step 5 · 8 worksheets · 39 questions
- Solve Each EquationIndices And Surds · 12 questionsPractise in MathLab →
- Solve Each Equation Set 2Indices And Surds · 8 questionsPractise in MathLab →
- Solve Equations Involving IndicesIndices And Surds · 2 questionsPractise in MathLab →
- Solve An Exponential EquationIndices And Surds · 2 questionsPractise in MathLab →
- Solve Set 2Indices And Surds · 12 questionsPractise in MathLab →
- Use A Substitution For Powers Of 2Indices And Surds · 1 questionPractise in MathLab →
- Use Index LawsIndices And Surds · 1 questionPractise in MathLab →
- Use Laws Of IndicesIndices And Surds · 1 questionPractise in MathLab →
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