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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 "Using concurrence to find the direction of an unknown third force"

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Quiz: Finding the identity element from an operation table

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Final Revision: Identity and inverse together, and what they give the set

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

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

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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Final Revision: The characteristic and the mantissa of a logarithm

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Learn: The change of base formula

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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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Quiz: The formula for the nth term of an arithmetic progression

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Learn: The formula for the sum of the first n terms of an arithmetic progression

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Explain Back: Finding the first term from the sum and the common difference

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Spot My Mistake: The sum of an arithmetic progression with a negative common difference

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Explain Back: Finding the first term from two given terms of a geometric progression

I have just studied finding the first term from two given terms of a geometric progression

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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