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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Checking that the roots found satisfy the original equation"

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Show All Working: Deciding whether two given surds are equal without a calculator

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe

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Final Revision: Surds that cannot be combined at all

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of s

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Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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Show All Working: Simplifying a surd expression that contains brackets

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s

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Common Mistakes: Expanding the product of two surd brackets

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

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Worked Example: Rationalising a denominator that is a single surd

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

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Show All Working: A conjugate where the surd term comes first

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a conjugate whe

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Final Revision: Checking a conjugate answer by multiplying back

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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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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Practice: Solving an equation with a surd on each side

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ

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Common Mistakes: A binary operation that is ordinary addition in disguise

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b

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Practice: An operation that is not commutative, with a counter-example

Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t

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WAEC Prep: An operation that is commutative but not associative

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Show All Working: An operation that is associative but not commutative

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an operation th

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