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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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743 prompts matching "Structured question: circle with a diameter given by two endpoints"

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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Worked Example: Adding two surds that simplify to the same root

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Practice: Multiplying a whole number by a surd

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Common Mistakes: Expanding the product of two surd brackets

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Practice: Rationalising a denominator with a whole number multiplying the surd

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Show All Working: Checking a rationalised answer by decimal approximation

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Worked Example: Why multiplying by the conjugate clears the surd

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Learn: Solving an equation with a single square root term

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Practice: Solving an equation with a surd on each side

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

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Worked Example: Testing a*b against b*a for a given rule

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

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Explain Back: Showing distributivity fails by a counter-example

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Common Mistakes: Checking an inverse by working the operation both ways

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Practice: A fractional index with numerator one, read as a root

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Explain Back: A fractional index with a numerator above one

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Explain Back: An indicial equation with the unknown in the exponent on both sides

I have just studied an indicial equation with the unknown in the exponent on both sides in

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Common Mistakes: An indicial equation solved by substitution

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