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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 "Equating the rational and the irrational parts of an equation"

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Practice: Finding alpha minus beta from the sum and the product

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Worked Example: The number of arrangements of n different objects in a row

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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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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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Quiz: The tangent curve and its asymptotes

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Quiz: Finding the centre and the radius from the general equation

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Learn: The parabola y squared equals 4ax, with its focus and directrix

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Practice: The ellipse in standard form, and its two axes

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Explain Back: The eccentricity of an ellipse

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

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Explain Back: The variance of an ungrouped set of data

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Learn: Resolving the weight along and perpendicular to an inclined plane

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Quiz: The centripetal force, and what supplies it in a given situation

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