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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 "A factor theorem question set in the WAEC style"

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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Worked Example: Testing the even numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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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 whether star distributes over plus

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

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

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

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Common Mistakes: Why the index laws need the bases to match

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Show All Working: Simplifying an expression that mixes the index types

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Show All Working: The common logarithm, to base ten

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Worked Example: Writing out the terms of a sequence from its nth term

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Show All Working: Deciding whether a given number is a term of a sequence

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: Finding the common difference of an arithmetic progression

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Show All Working: The sum of the terms lying between two given positions

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