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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Help me plan my WAEC Further Mathematics exam preparation"

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Worked Example: Evaluating a polynomial by substitution

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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: The number of arrangements of r objects chosen from n

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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

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Worked Example: The difference between a permutation and a combination

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

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The equation of a circle with a given centre and radius

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Worked Example: The interquartile range of a set of ordered data

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Quiz: The principle of moments for a body in equilibrium

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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