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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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885 prompts matching "Survey word problem using a three-set Venn diagram"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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Worked Example: The difference between a permutation and a combination

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

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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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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

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

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Explain Back: Solving a quadratic in sin x

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WAEC Prep: Solving an equation by first applying a double angle formula

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

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Explain Back: The effect of b in y equals sin bx on the period

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