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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,303 prompts matching "Why brackets matter when an operation is not associative"

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

Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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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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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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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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Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

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Structured question: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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Learn: Converting a weight given in kilogram-force into newtons

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

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Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

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Learn: Choosing the point about which to take moments

You are my personal SS3 Further Mathematics tutor. Teach me choosing the point about which

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Learn: Finding two unknown forces by Lami's theorem

You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by

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Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

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Learn: The coordinates of a point in three dimensions

You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in

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Learn: The magnitude of a three-dimensional vector

You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen

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Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

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Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

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Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

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