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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 "Writing a three-dimensional vector in i, j and k form"

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

Real-life application of the condition for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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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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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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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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WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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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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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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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: 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 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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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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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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