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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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976 prompts matching "Common surd mistakes to watch out for"

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

Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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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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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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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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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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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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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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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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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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Final Revision: A word problem solved by factorising a quadratic

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

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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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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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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Quiz: A negative value of b in the quadratic formula

Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra

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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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WAEC Prep: What the formula gives when the discriminant is negative

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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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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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

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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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