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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 "Teach me conditions for a line and a curve to intersect"

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

Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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

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Worked Example: Rationalising a denominator that is a single surd

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

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WAEC Prep: Rationalising a denominator inside a larger expression

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Final Revision: Expressing a rationalised answer in the form a root b over c

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

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WAEC Prep: Expressing the answer in the form a plus b root c

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Quiz: Checking a surd equation for extraneous roots

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Worked Example: Reading the symbol used for a binary operation

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Spot My Mistake: A binary operation defined on a set of three elements

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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Final Revision: Why closure is checked before any other property

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Worked Example: Testing a*b against b*a for a given rule

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Quiz: Reading commutativity off a symmetrical operation table

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Quiz: Left distributivity and right distributivity

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