Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,179 prompts matching "Practice: A binary operation set out as a table"
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Final revision: my three hardest Further Maths topics
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Subscribe to unlock allCommon Mistakes: Showing that intersection distributes over union
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Subscribe to unlock allWorked Example: Collecting like surds in a single sum
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Subscribe to unlock allExplain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Subscribe to unlock allShow All Working: Expressing a number in the form a root b
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Subscribe to unlock allCommon Mistakes: Solving an equation in which the unknown sits under a root
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Subscribe to unlock allWorked Example: Simplifying an expression carrying both a negative and a fractional index
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Subscribe to unlock allExplain Back: The laws of logarithms for a product and for a quotient
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Subscribe to unlock allCommon Mistakes: Solving an exponential equation using logarithms
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Subscribe to unlock allExplain Back: The range of values of k for which the roots are real
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Subscribe to unlock allShow All Working: Solving a quadratic by completing the square
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Subscribe to unlock allCommon Mistakes: Proving that a quadratic expression is positive for every real x
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Subscribe to unlock allWorked Example: Finding one over alpha plus one over beta
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Subscribe to unlock allExplain Back: Finding alpha squared beta plus alpha beta squared
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Subscribe to unlock allShow All Working: Finding a coefficient given a stated relation between the roots
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Subscribe to unlock allCommon Mistakes: Symmetric functions when the three roots of a cubic are involved
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Subscribe to unlock allWorked Example: Evaluating a polynomial by substitution
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Subscribe to unlock allExplain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Subscribe to unlock allShow All Working: Solving a cubic equation by factorisation
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