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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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243 prompts matching "A body dropped from rest under gravity"

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

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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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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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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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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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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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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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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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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Practice: Factorising a quadratic with a common factor taken out first

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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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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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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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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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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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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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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Learn: The sum of the roots as minus b over a

You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus

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Quiz: Finding the sum and the product without solving the equation

Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit

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