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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "A sign error in the formula, and how to catch it"

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Show All Working: Solving an equation written in terms of a binary operation

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Final Revision: Deciding whether a set under an operation forms a group

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Learn: Simplifying a surd by extracting the largest perfect square

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Common Mistakes: Solving an equation in which the unknown sits under a root

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

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Final Revision: Sketching the graph of a logarithmic function

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Learn: The sum and the product of the roots read from the coefficients

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

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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

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Final Revision: Checking that the roots found satisfy the original equation

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Show All Working: Solving a pair of simultaneous linear inequalities

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Final Revision: Counting the number plates or codes that can be formed under a rule

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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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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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