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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Halving the coefficient of x and squaring it"

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

Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Worked Example: Squaring both sides safely when solving a surd equation

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Practice: The law for a power raised to another power

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the law for a

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Worked Example: Rewriting a negative index as a fraction

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on rewrit

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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Practice: Solving 2 to the power x equals 32

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t

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Worked Example: Writing an index statement as a logarithm

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin

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Explain Back: Splitting a single logarithm into several

I have just studied splitting a single logarithm into several in my SS1 Further Mathematic

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Worked Example: Converting a logarithm to base ten so that tables can be used

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on conver

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