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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "WAEC-style multi-mark question on completing the square"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: The union of two sets written in set-builder notation

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Worked Example: The intersection of two overlapping sets

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

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

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Explain Back: Finding the identity element of a binary operation

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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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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Spot My Mistake: Showing the solution of an inequality on a number line

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Worked Example: The difference between a permutation and a combination

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

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

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Learn: The equation of a circle with its centre at the origin

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Worked Example: The equation of a circle with a given centre and radius

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Quiz: Finding the centre and the radius from the general equation

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