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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 "Give me practice with the quadratic formula"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: What makes two surds equal

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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

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Explain Back: Multiplying root a by root b

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Common Mistakes: A surd equation that has no real solution

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

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

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

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Show All Working: An operation that is associative but not commutative

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Explain Back: Showing distributivity fails by a counter-example

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Show All Working: Using distributivity to simplify an expression

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Worked Example: Rewriting a negative index as a fraction

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Common Mistakes: Writing a root as a fractional index before simplifying

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Worked Example: Solving an indicial equation where one side must be factorised first

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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