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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 "The sum of a geometric progression with a negative common ratio"

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

Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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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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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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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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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 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: 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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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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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: 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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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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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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WAEC Prep: A pair that gives no real solution at all

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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WAEC Prep: Expressions that are not polynomials, and why not

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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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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Quiz: Dividing a quartic by a quadratic

Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.

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