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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Why does completing the square work"

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

Learn: The union of two sets written in set-builder notation

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Practice: The difference of two sets, A minus B

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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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Show All Working: A three-set Venn diagram drawn from a subject survey

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

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WAEC Prep: Completing a Cayley table for an operation on a small set

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Show All Working: Solving an equation written in terms of a binary operation

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Worked Example: Collecting like surds in a single sum

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Practice: Rationalising a denominator of the form root a

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Learn: The multiplication and division laws of indices used together

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

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Spot My Mistake: The power law of logarithms

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Learn: The sum and the product of the roots read from the coefficients

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

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Worked Example: Finding one over alpha plus one over beta

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

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Learn: The degree of a polynomial and its leading coefficient

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Worked Example: Evaluating a polynomial by substitution

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