A-levelSequences and series
Binomial expansion
Expand positive integer powers and use coefficients accurately.
1 lesson51 worksheets194 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
Binomial coefficients and notation
Step 1 · 5 worksheets · 9 questions
- Identify Binomial CoefficientsMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial Coefficient RelationBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Coefficients And Notation Problems IntroductoryGenerated A-Level Pure · 2 questionsPractise in MathLab →
- Binomial Coefficients And Notation Problems PracticeGenerated A-Level Pure · 2 questionsPractise in MathLab →
- Binomial Coefficients And Notation Problems ChallengeGenerated A-Level Pure · 3 questionsPractise in MathLab →
- IntroPractice
Expanding binomials in ordered powers
Step 2 · 17 worksheets · 114 questions
- Expand And SimplifyBinomial Expansion · 10 questionsPractise in MathLab →
- Expand And Simplify CoefficientsBinomial Expansion · 12 questionsPractise in MathLab →
- Expand And Simplify Coefficients Set 2Binomial Expansion · 4 questionsPractise in MathLab →
- Express In Surd FormBinomial Expansion · 7 questionsPractise in MathLab →
- Express In An Alternate FormBinomial Expansion · 3 questionsPractise in MathLab →
- Express In Alternate FormBinomial Expansion · 4 questionsPractise in MathLab →
- ExpandBinomial Expansion · 12 questionsPractise in MathLab →
- Expand Set 2Binomial Expansion · 12 questionsPractise in MathLab →
- Expand Set 3Binomial Expansion · 8 questionsPractise in MathLab →
- Expand To X CubedBinomial Expansion · 4 questionsPractise in MathLab →
- Expand In Ascending PowersBinomial Expansion · 5 questionsPractise in MathLab →
- Expand In Ascending Powers Of XBinomial Expansion · 4 questionsPractise in MathLab →
- Expand BinomialMixed Sequences And Series · 3 questionsPractise in MathLab →
- Find First Four Terms In Ascending PowersBinomial Expansion · 8 questionsPractise in MathLab →
- First Four TermsBinomial Expansion · 12 questionsPractise in MathLab →
- First 4 TermsBinomial Expansion · 4 questionsPractise in MathLab →
- Binomial ExpansionMixed Sequences And Series · 2 questionsPractise in MathLab →
- Practice
Finding coefficients, constants and independent terms
Step 3 · 14 worksheets · 52 questions
- Find The CoefficientBinomial Expansion · 12 questionsPractise in MathLab →
- Find The Coefficient Set 2Binomial Expansion · 2 questionsPractise in MathLab →
- Hence Find CoefficientsBinomial Expansion · 1 questionPractise in MathLab →
- Find The Indicated CoefficientBinomial Expansion · 8 questionsPractise in MathLab →
- Find The Term Independent Of YBinomial Expansion · 4 questionsPractise in MathLab →
- Find Binomial ConstantsMixed Sequences And Series · 2 questionsPractise in MathLab →
- Coefficient In ExpansionBinomial Expansion · 7 questionsPractise in MathLab →
- Coefficient EquationBinomial Expansion · 1 questionPractise in MathLab →
- Term Independent Of XBinomial Expansion · 1 questionPractise in MathLab →
- Term Independent Of YBinomial Expansion · 4 questionsPractise in MathLab →
- CoefficientsBinomial Expansion · 6 questionsPractise in MathLab →
- Binomial CoefficientMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial Expansion And CoefficientMixed Sequences And Series · 2 questionsPractise in MathLab →
- Binomial Expansion CoefficientMixed Sequences And Series · 1 questionPractise in MathLab →
- PracticeChallenge
Binomial approximations and estimates
Step 4 · 7 worksheets · 10 questions
- Binomial ApproximationBinomial Expansion · 2 questionsPractise in MathLab →
- Binomial EstimateBinomial Expansion · 3 questionsPractise in MathLab →
- Quadratic ApproximationBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Expansion And Cube Root ApproximationBinomial Expansion · 1 questionPractise in MathLab →
- Estimating Square Root Using Binomial ExpansionBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Expansion And EstimateMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial ApproximationMixed Sequences And Series · 1 questionPractise in MathLab →
- Challenge
Surds, negative powers and extended expansions
Step 5 · 4 worksheets · 4 questions
- Binomial Expansion And Possible ValuesBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Expansion And SurdsBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Expansion With Negative PowersMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial Expansions And SurdsMixed Sequences And Series · 1 questionPractise in MathLab →
- Challenge
Equations, parameters and mixed synthesis
Step 6 · 4 worksheets · 5 questions
- Binomial Expansions And EquationMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial Expansion And ParameterBinomial Expansion · 2 questionsPractise in MathLab →
- Find ParametersBinomial Expansion · 1 questionPractise in MathLab →
- Binomial Expansion With ParametersMixed Sequences And Series · 1 questionPractise in MathLab →
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