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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,008 prompts matching "Structured question: find fg(x) and gf(x)"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Give me a 5-minute recap of indices and surds

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co

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Give me a 5-minute recap of sequences and series

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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IGCSE Additional Maths Y11: How much working a 'show that' question needs — Worked Example

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Take me through one co

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

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Give me practice on the binomial theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria

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Give me practice on the equation of a circle

Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the

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Quiz me on vector operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 - 7x + 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise x^2 + 2x - 15

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 2x^2 + 7x + 3

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Factorise 3x^2 - 5x - 2

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^

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Factorise 6x^2 + x - 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^

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Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 4x^2 - 25

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^

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Factorise x^2 - x - 20

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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