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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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754 prompts matching "Structured question: arrangements with a restriction"

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

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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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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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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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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Show All Working: A quadratic whose two roots are both negative

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

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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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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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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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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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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: 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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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Show All Working: Choosing between factorising and the formula

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

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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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Worked Example: The product of the roots as c over a

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

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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Show All Working: Roots equal in magnitude but opposite in sign

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

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