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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,088 prompts matching "IGCSE Additional Maths Y10: Sketching a quadratic from its vertex form — Spot My"

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Common Mistakes: Arrangements restricted at the first or the last place

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Final Revision: Counting the number plates or codes that can be formed under a rule

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Learn: The meaning of n choose r, and how to evaluate it

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Worked Example: The difference between a permutation and a combination

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

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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

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

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Explain Back: The compound angle formula for tan of A plus B

I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe

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Spot My Mistake: The double angle formula for sine

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Show All Working: The half angle formulae and the t-substitution

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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

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

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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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