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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Give me practice with predicate logic"

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

Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Worked Example: Evaluating a polynomial by substitution

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

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Show All Working: Solving a pair of simultaneous linear inequalities

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Common Mistakes: The range of values of x for which an expression stays positive

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Worked Example: The difference between a permutation and a combination

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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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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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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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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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