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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 "Complete the square for x^2 + 6x + 5 = 0"

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

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Learn: What makes two surds similar

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Worked Example: What makes two surds equal

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Practice: Collecting similar surds in an expression

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Practice: Multiplying a whole number by a surd

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Worked Example: Rationalising a denominator that is a single surd

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

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Practice: Solving an equation with a surd on each side

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

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Learn: What a binary operation actually is

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Quiz: Evaluating a*b from a given rule

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Practice: A binary operation set out as a table

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

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Spot My Mistake: Reading closure off an operation table

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Quiz: Reading commutativity off a symmetrical operation table

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

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Quiz: Left distributivity and right distributivity

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Practice: Multiplication distributing over addition in ordinary arithmetic

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