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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 "expand (1-x)^4 fully and use it to estimate (0.98)^4"

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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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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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Show All Working: Three roots in arithmetic progression in a cubic

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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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WAEC Prep: Writing a solution set in interval notation

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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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Explain Back: Arrangements in which two particular objects must stay together

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

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

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Explain Back: The eccentricity of an ellipse

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Common Mistakes: The centre of gravity of a uniform lamina

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Worked Example: Relative velocity when two bodies move along the same line

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