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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 "The dot product of a vector with itself"

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

Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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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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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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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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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: A binary operation set out as a table

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Practice: Testing a set for closure under multiplication

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

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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Practice: Why an identity element must work from both sides

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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Worked Example: Rewriting a negative index as a fraction

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

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Worked Example: Writing an index statement as a logarithm

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Practice: Combining two logarithms into one

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