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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 "A simultaneous pair in which the second equation is a circle"

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Worked Example: Why the square root of a non-square whole number is irrational

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

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WAEC Prep: Ordering a list of surds by size

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

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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

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

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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Learn: What a binary operation actually is

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

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Common Mistakes: Subtraction as an example of neither law

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Final Revision: Why brackets matter when an operation is not associative

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Learn: What it means for one operation to distribute over another

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Explain Back: Showing distributivity fails by a counter-example

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Spot My Mistake: Checking distributivity from two operation tables

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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