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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Real-life application of the condition for a line to be tangent to a curve"

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Common Mistakes: Expressing root 50 as a multiple of root 2

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

Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Practice: Rationalising a denominator with a whole number multiplying the surd

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

Explain Back: Simplifying the answer once the denominator is rational

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Spot My Mistake: Rationalising and then cancelling a common factor

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

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Quiz: Checking a surd equation for extraneous roots

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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

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

Practice: Testing a set for closure under multiplication

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Common Mistakes: Closure on a set of three elements under a stated rule

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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Quiz: Finding the identity element from an operation table

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Common Mistakes: Checking an inverse by working the operation both ways

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Final Revision: Identity and inverse together, and what they give the set

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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Practice: Solving 2 to the power x equals 32

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