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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,199 prompts matching "Adding and subtracting like surds"

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

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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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WAEC Prep: The number of elements in the union of two sets

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

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Common Mistakes: Showing that intersection distributes over union

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

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Quiz: Testing a binary operation for commutativity

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Practice: Testing a binary operation for associativity

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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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Common Mistakes: A binary operation defined by arithmetic modulo n

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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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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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Final Revision: Proving that root 2 is irrational

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

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