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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Testing the integers for closure under division"

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Show All Working: Arrangements of the letters of a given word

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Common Mistakes: Arrangements restricted at the first or the last place

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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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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Show All Working: Reading the solutions of a trigonometric equation off a graph

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

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WAEC Prep: Proving two given lines parallel from their gradients

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Show All Working: Proving two given lines perpendicular from their gradients

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

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

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WAEC Prep: The length of the tangent from an external point

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Show All Working: The intersection of a circle and a straight line

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Show All Working: The rectangular hyperbola xy equals c squared

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