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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 "Find all values command word: the values of k for which x minus 2 is a factor"

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

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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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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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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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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Spot My Mistake: A pair with equal roots, meaning one solution only

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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Final Revision: Checking both solutions in both equations

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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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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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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Spot My Mistake: A division that leaves a linear remainder

Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea

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Worked Example: Factorising a cubic into a linear and a quadratic factor

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Quiz: Factorising a polynomial by grouping terms

Act as my SS2 Further Mathematics tutor and quiz me on factorising a polynomial by groupin

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Common Mistakes: Factorising fully, and knowing when to stop

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

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Final Revision: Checking a factorisation by expanding it again

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Worked Example: How many roots a cubic equation has

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on how ma

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Quiz: A cubic with three distinct real roots

Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro

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Common Mistakes: A cubic equation arising from a volume problem

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

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Worked Example: Sentences that are not propositions

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Common Mistakes: Translating a symbolic statement back into English

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Final Revision: A compound proposition built from three simple ones

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Worked Example: Conjunction in a three-variable truth table

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