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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Find the value of k for a line to be tangent to a curve"

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Worked Example: Testing whether a binary operation is closed on a given set

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Quiz: Testing a binary operation for commutativity

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Learn: Simplifying a surd by extracting the largest perfect square

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Quiz: Multiplying two surds and simplifying the result

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Quiz: Forming a quadratic equation whose roots are given

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Show All Working: Solving a cubic equation by factorisation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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

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Quiz: The semi-interquartile range

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Show All Working: Replacing two parallel forces by a single resultant

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

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Quiz: The tension in the string joining two connected particles

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Practice: A car rounding a bend on a level road

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Show All Working: A mass on a spring performing simple harmonic motion

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Worked Example: The tension in a stretched elastic string

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Spot my mistake: Assuming AB and BA give the same matrix

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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