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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1"

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

Verifying an inverse function is correct

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

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Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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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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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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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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WAEC-style past question on functions

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

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Structured question: solve an exponential equation using indices

I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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WAEC exam question: circular permutation with a condition

I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t

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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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Solve x^2 + 13x + 40 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question

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Solve 5x^2 + 13x - 6 = 0 with full exam working

I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question

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Solve 3x^2 + x - 14 = 0 with full exam working

I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question

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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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