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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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707 prompts matching "Practice: Polynomial notation such as P of x"

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

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Final Revision: Surds that cannot be combined at all

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Show All Working: Simplifying a surd expression that contains brackets

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Show All Working: Checking a rationalised answer by decimal approximation

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

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

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Final Revision: Checking a conjugate answer by multiplying back

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Final Revision: A word problem that leads to an equation in surd form

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

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Final Revision: Deciding whether a given rule really is a binary operation

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Show All Working: Showing a set is not closed by a single counter-example

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Final Revision: Why closure is checked before any other property

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Show All Working: Using distributivity to simplify an expression

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Final Revision: Why distributivity links two operations rather than one

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Show All Working: An element with no inverse under a given operation

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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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Show All Working: Simplifying an expression with letters and indices

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