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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,157 prompts matching "Cambridge-style question: quadratic formula derivation"

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Explain Back: Choosing a committee with a stated number from each of two groups

I have just studied choosing a committee with a stated number from each of two groups in m

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Spot My Mistake: The identity that n choose r equals n choose n minus r

Act as my SS3 Further Mathematics tutor. Work a question on the identity that n choose r e

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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Common Mistakes: Selections in which at least one of a kind must appear

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Final Revision: Combinations used with the addition and multiplication principles

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Final Revision: Proving an identity by working on one side only

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Learn: Solving sin x equals a given value between 0 and 360 degrees

You are my personal SS3 Further Mathematics tutor. Teach me solving sin x equals a given v

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Practice: Solving an equation of the form sin of 2x equals a given value

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Giving the general solution of a trigonometric equation

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Final Revision: Losing solutions by dividing through by cos x

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Learn: The shape, period and range of the sine curve

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Worked Example: The shape, period and range of the cosine curve

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