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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 "Test me under exam conditions on polynomials and the remainder/factor theorems"

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Practice: Solving an equation of the form sin of 2x equals a given value

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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Learn: The shape, period and range of the sine curve

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Quiz: The tangent curve and its asymptotes

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Practice: The equation of a line through a point with a given gradient

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Common Mistakes: The angle between two lines found from their gradients

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Learn: The equation of a circle with its centre at the origin

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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

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Quiz: The equation of the tangent to a parabola

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

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Common Mistakes: Identifying a conic from a general second-degree equation

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

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Common Mistakes: The coefficient of variation, for comparing two sets

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Quiz: The principle of moments for a body in equilibrium

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Practice: A uniform beam resting on two supports

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Common Mistakes: The centre of gravity of a uniform lamina

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Learn: The velocity of one body relative to another

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Quiz: Relative velocity when the two motions are at right angles

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

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