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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 "Restricting the domain so an inverse exists"

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: 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 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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Worked Example: Halving the coefficient of x and squaring it

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

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

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Common Mistakes: A sign error in the formula, and how to catch it

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

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Final Revision: A word problem solved with the quadratic formula

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

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Common Mistakes: Roots that are reciprocals of one another

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

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Learn: What makes an expression in the roots symmetric

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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

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Common Mistakes: A symmetric function needing the sum and product twice over

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

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Worked Example: Substituting into the quadratic and tidying up

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

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Quiz: Solving the quadratic that results from the substitution

Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results

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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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Worked Example: The discriminant used as the test for intersection

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

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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

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Common Mistakes: Multiplying one polynomial by another

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

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Common Mistakes: The degree of the quotient and of the remainder

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

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Show All Working: Solving a cubic that must first be rearranged

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

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Learn: The biconditional, p if and only if q

You are my personal SS2 Further Mathematics tutor. Teach me the biconditional, p if and on

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