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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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318 prompts matching "Explain-back: what a matrix inverse actually does"

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Worked example: how many ways can 5 books be arranged on a shelf

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: how many ways can a president and secretary be chosen from 8 people

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: in how many ways can 6 people be seated around a circular table

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Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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

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

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