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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Explaining why a^1/n means the nth root of a"

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Worked Example: The powers of i, and the cycle they follow

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Learn: The real and the imaginary parts of a complex number

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Learn: Connected rates of change through the chain rule

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Worked Example: Power as the rate of doing work

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Learn: The kinetic energy of a moving body

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Learn: The median of a set of ordered data

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Explain the properties of the normal distribution curve

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Worked example: finding the matrix of cofactors and the adjugate

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

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Worked Example: The intersection of two overlapping sets

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Show All Working: Expressing a number in the form a root b

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

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Learn: The multiplication and division laws of indices used together

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Show All Working: Finding a coefficient given a stated relation between the roots

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Learn: The degree of a polynomial and its leading coefficient

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Final Revision: Checking that the roots found satisfy the original equation

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

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