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Further Mathematics

AI prompts for senior secondary learners.

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1,044 prompts matching "Checking a symmetric-function answer by solving the equation outright"

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Spot my mistake multiplying a two by two matrix by a two by one matrix

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Test me under exam conditions on quadratic equations

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Test me under exam conditions on trigonometric identities and equations

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Give me common mistakes students make in quadratic equations

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Give me common mistakes students make in trigonometric identities and equations

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Show All Working: Completing the square with a fractional coefficient of x

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Show All Working: Choosing between factorising and the formula

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

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Show All Working: The point of contact when a line touches a curve

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Quiz: Dividing a quartic by a quadratic

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Show All Working: Synthetic division as a shorter route

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Show All Working: What the factor theorem says about the roots

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