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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,245 prompts matching "Testing a list of candidates to find a factor"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Quiz: Forming a quadratic equation whose roots are given

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Show All Working: Solving a quadratic by completing the square

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Worked Example: Evaluating a polynomial by substitution

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Explain Back: Forming a cubic equation whose three roots are given

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Show All Working: Three roots in arithmetic progression in a cubic

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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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Quiz: Solving a quadratic inequality using a sign table

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Explain Back: Solving an inequality that involves a modulus

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

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Worked Example: The difference between a permutation and a combination

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Practice: Choosing a committee that must contain one particular person

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

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

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

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