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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 "Quiz me on the factorising a cubic with the factor theorem"

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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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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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

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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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Explain Back: The effect of b in y equals sin bx on the period

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: The equation of the line through two given points

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

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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

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Common Mistakes: The condition for a line to be a tangent to a circle

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Show All Working: The effect on the standard deviation of adding a constant to every value

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

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Explain Back: Finding the reaction at each support of a loaded beam

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Common Mistakes: The centre of gravity of a uniform lamina

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Worked Example: The common acceleration of two connected particles

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Show All Working: A lift, and the person standing in it

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Worked Example: The normal reaction on a body resting on a smooth incline

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