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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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500 prompts matching "Prove command word: line does not intersect a curve"

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

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

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on evaluating a re

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Learn: What closure means for a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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Learn: What it means for an operation to be commutative

You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation

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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

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Worked Example: Testing whether star distributes over plus

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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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Learn: What an identity element is

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Explain Back: What an inverse element is

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Show All Working: An element with no inverse under a given operation

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Worked Example: The law for multiplying powers of the same base

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Show All Working: Simplifying an expression with letters and indices

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Learn: Why any non-zero number to the power nought is one

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Worked Example: Rewriting a negative index as a fraction

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Explain Back: A fractional index with a numerator above one

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