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Senior Secondary

Further Mathematics

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1,045 prompts matching "Structured question: surd equation with a solution to reject"

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Summarise quadratic equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

Summarise trigonometric identities and equations for quick revision

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Summarise surds for quick revision

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Test me under exam conditions on polynomials and the remainder/factor theorems

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Test me under exam conditions on vectors

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Give me common mistakes students make in polynomials and the remainder/factor theorems

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Give me common mistakes students make in vectors

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Explain why Further Maths topics connect to each other

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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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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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