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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 "work, energy and power"

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

Practice: The difference of two sets, A minus B

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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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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Practice: Testing a binary operation for associativity

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

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Learn: Simplifying a surd by extracting the largest perfect square

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Practice: Rationalising a denominator of the form root a

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Spot My Mistake: Squaring a bracket that contains a surd

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

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

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Practice: Factorising a cubic completely once one factor is known

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Learn: The sum of the roots of a cubic read from its coefficients

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Practice: Finding the third root of a cubic when two are known

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Practice: Solving an inequality with the unknown in the denominator

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

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Practice: Arrangements when some of the objects are identical

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

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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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