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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 "IGCSE Additional Maths Y11: The area common to two overlapping circles — Show Al"

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

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

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Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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Common Mistakes: Closure on a set of three elements under a stated rule

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Final Revision: Why closure is checked before any other property

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Learn: What it means for an operation to be commutative

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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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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Final Revision: Why distributivity links two operations rather than one

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

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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Learn: Reading index notation, the base and the exponent

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

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Quiz: The law for dividing powers of the same base

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Final Revision: Evaluating a numerical expression using the index laws

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