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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 "Practice: Solving an inequality with the unknown in the denominator"

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Show All Working: A conjugate where the surd term comes first

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

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

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Worked Example: Reading the symbol used for a binary operation

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Worked Example: Testing the even numbers for closure under addition

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

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Show All Working: An operation that is associative but not commutative

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Common Mistakes: Subtraction as an example of neither law

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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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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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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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Explain Back: A fractional index with a numerator above one

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Worked Example: Writing an index statement as a logarithm

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Show All Working: The common logarithm, to base ten

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Worked Example: Converting a logarithm to base ten so that tables can be used

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