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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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2,798 prompts matching "maxima and minima"

Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Cambridge-style layout check: polynomial long division

I will show you my full long division layout for dividing a polynomial by a linear express

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Structured question: find an unknown coefficient using the remainder theorem

Give me a structured Additional Maths question where a polynomial has an unknown coefficie

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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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Structured question: solve a cubic equation fully

Give me a structured question where I factorise a cubic using the factor theorem and then

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Teach me composite functions

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

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Structured question: composite function with a restricted domain

Set me a structured question where a function has a restricted domain to make it one-to-on

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Quiz me on function notation

Quiz me on reading and evaluating function notation such as f(3), fg(2), and f^-1(5) for g

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Spot my mistake finding an inverse function

I will show you my working for finding the inverse of a function. Check whether I correctl

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WAEC-style question on evaluating composite functions

I am in SS 3. Give me a WAEC Further Maths question involving evaluating a composite funct

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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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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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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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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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