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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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740 prompts matching "How many terms of an arithmetic progression lie between two values"

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

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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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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Final Revision: Checking a conjugate answer by multiplying back

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

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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

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

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Practice: Multiplication distributing over addition in ordinary arithmetic

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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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WAEC Prep: The inverse of the identity element itself

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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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