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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "Equation of a line given gradient and one point"

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

Quiz: The complement of a set within a stated universal set

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

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Worked Example: Testing whether a binary operation is closed on a given set

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Common Mistakes: Solving an equation in which the unknown sits under a root

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

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Quiz: Solving an index equation by writing both sides to the same base

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Spot My Mistake: The power law of logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Learn: The sum of the roots of a cubic read from its coefficients

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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Worked Example: The number of arrangements of n different objects in a row

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Quiz: The number of arrangements of r objects chosen from n

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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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Final Revision: Combinations used with the addition and multiplication principles

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Quiz: The compound angle formula for sine of A plus B

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Show All Working: The half angle formulae and the t-substitution

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