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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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552 prompts matching "Differentiating one over x from first principles"

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

Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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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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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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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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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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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Worked Example: Substituting a, b and c into the quadratic formula correctly

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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Final Revision: A word problem solved with the quadratic formula

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id

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