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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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611 prompts matching "A pair with equal roots, meaning one solution only"

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Practice: An operation that is not commutative, with a counter-example

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

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Show All Working: Simplifying an expression with letters and indices

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Common Mistakes: Writing a root as a fractional index before simplifying

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

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Practice: Solving 2 to the power x equals 32

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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Practice: Combining two logarithms into one

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: An arithmetic progression with a negative common difference

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Common Mistakes: Proving the sum formula by pairing the terms

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WAEC Prep: A geometric progression with a negative common ratio

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Show All Working: A geometric progression with a fractional common ratio

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Worked Example: Which form of the sum formula to use when r is less than one

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Practice: Using a table of signs to solve a quadratic inequality

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Show All Working: Writing a quadratic solution set in interval form

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Show All Working: The region satisfying two linear inequalities together

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Common Mistakes: Reading a solution set off a graph

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