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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "finding the middle term of a binomial expansion"

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Final revision: my three hardest Further Maths topics

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

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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: Solving an index equation by writing both sides to the same base

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Practice: The condition for a quadratic equation to have equal roots

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WAEC Prep: Forming an equation whose roots are each two more than the original

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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: Solving a quadratic inequality by sketching the parabola

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Practice: Solving an inequality with the unknown in the denominator

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

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

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Spot My Mistake: The double angle formula for sine

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Quiz: The tangent curve and its asymptotes

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