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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Finding f(x) given a description of the function rule"

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

Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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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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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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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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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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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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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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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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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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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Common Mistakes: A word problem giving one linear and one quadratic equation

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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Learn: What makes an expression a polynomial

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol

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Show All Working: Adding and subtracting two polynomials

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt

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Learn: Factorising a cubic into three linear factors

You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three

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