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Further Mathematics

AI prompts for senior secondary learners.

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1,111 prompts matching "Factorising a quadratic whose leading coefficient is not one"

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

Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

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Composite function with three functions applied in order

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Reviewing all function skills before a test

I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Quiz me on logic symbols and their meanings

I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct

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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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Structured question: three-part algebra question mixing methods

I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati

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Give me an exam formula sheet for completing the square

I am in SS 3. Build me a short formula sheet covering every formula I need for completing

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Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

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Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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Give me an exam formula sheet for polynomial operations

I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub

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Give me an exam formula sheet for the remainder theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the remaind

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