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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 "IGCSE Additional Maths Y11: The exact ratios of 30, 45 and 60 degrees — IGCSE Ex"

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

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Learn: Why a surd is never left in the denominator

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

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Practice: A binary operation set out as a table

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WAEC Prep: Writing a binary operation rule from a description in words

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

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Final Revision: Why closure is checked before any other property

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

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

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WAEC Prep: An operation that is commutative but not associative

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Spot My Mistake: Checking distributivity from two operation tables

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Common Mistakes: Distributivity on a set of three elements

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

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Learn: Reading index notation, the base and the exponent

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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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Learn: Why any non-zero number to the power nought is one

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Show All Working: Simplifying an expression that mixes the index types

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