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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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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

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,

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

Common command word mistakes SS2 students make

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

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

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

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

Give me practice on the binomial theorem

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

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

Quiz me on vector operations

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

Teach me composite functions

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

Factorise x^2 + 5x + 6

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

Factorise x^2 - 7x + 12

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

Factorise x^2 + 2x - 15

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

Factorise 2x^2 + 7x + 3

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

Factorise 3x^2 - 5x - 2

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

Factorise 6x^2 + x - 12

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

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

Factorise 4x^2 - 25

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

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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