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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on basic differentiation"

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

Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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

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Practice: Testing a binary operation for associativity

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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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Final Revision: Deciding whether a set under an operation forms a group

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Practice: Rationalising a denominator of the form root a

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Spot My Mistake: Squaring a bracket that contains a surd

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

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Final Revision: Proving that root 2 is irrational

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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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Practice: Converting between index form and logarithm form

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

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Common Mistakes: Solving an exponential equation using logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Worked Example: The discriminant, and what each of its three cases means

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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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