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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 "Selections in which at least one of a kind must appear"

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

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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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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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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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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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Common Mistakes: Writing down the roots once the brackets are found

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

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Quiz: Completing the square on x squared plus 6x

Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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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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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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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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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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Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

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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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Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

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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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