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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 "Learn: The union of two sets written in set-builder notation"

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

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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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)

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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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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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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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Show all your working command word: simultaneous equations

I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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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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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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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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