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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The condition for a body to complete a vertical circle"

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

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Quiz: Finding the identity element from an operation table

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

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Common Mistakes: Writing a root as a fractional index before simplifying

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Final Revision: Converting an answer back out of index form

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

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Learn: The definition of a logarithm as the index

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Practice: Evaluating log to base 2 of 8

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Spot My Mistake: The logarithm of the base itself

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Practice: Combining two logarithms into one

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Quiz: Evaluating log to base 3 of 7 by change of base

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Practice: The relation between log a of b and log b of a

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Worked Example: Writing out the terms of a sequence from its nth term

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Quiz: Finding the nth term of a linear sequence

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Practice: Finding the nth term of a quadratic sequence

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Worked Example: Finding the common difference of an arithmetic progression

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