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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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654 prompts matching "Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted"

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

Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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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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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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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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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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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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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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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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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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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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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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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: 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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Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

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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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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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