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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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380 prompts matching "Create a revision plan for matrices"

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Practice: An operation that is not commutative, with a counter-example

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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Worked Example: Testing whether star distributes over plus

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Spot My Mistake: Checking distributivity from two operation tables

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Learn: What an identity element is

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Practice: Why an identity element must work from both sides

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Spot My Mistake: Finding the inverse of a given element

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Learn: Reading index notation, the base and the exponent

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Learn: Why any non-zero number to the power nought is one

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Worked Example: Rewriting a negative index as a fraction

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Practice: A fractional index with numerator one, read as a root

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Spot My Mistake: A negative fractional index

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

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Worked Example: Solving an indicial equation where one side must be factorised first

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Practice: Solving 2 to the power x equals 32

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Spot My Mistake: An indicial equation involving fractional bases

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Learn: The definition of a logarithm as the index

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Worked Example: Writing an index statement as a logarithm

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