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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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1,045 prompts matching "A particle in equilibrium on a smooth inclined plane"

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

Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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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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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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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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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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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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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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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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Quiz: Factorising a difference of two squares in order to solve it

Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ

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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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Show All Working: A quadratic whose two roots are both negative

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who

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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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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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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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