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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,172 prompts matching "Structured question: solve a cubic equation fully"

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

Practice under WAEC exam conditions

I am in SS 3. Give me a WAEC Further Mathematics style question, tell me to solve it under

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

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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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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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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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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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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Show that command word: surd simplification

I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp

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Show that command word: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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