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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Teach me what a proposition is"

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

Practice: Testing a binary operation for associativity

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Worked Example: Collecting like surds in a single sum

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Quiz: Multiplying two surds and simplifying the result

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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Practice: Finding alpha minus beta from the sum and the product

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Worked Example: Evaluating a polynomial by substitution

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Quiz: The product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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Worked Example: The difference between a permutation and a combination

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Quiz: Choosing a committee of r people from n

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Practice: Choosing a committee that must contain one particular person

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Worked Example: The identities for one plus tan squared and one plus cot squared

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