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Further Mathematics

AI prompts for senior secondary learners.

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1,043 prompts matching "Dividing surds using the quotient rule"

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Summarise surds for quick revision

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

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Test me under exam conditions on surds

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su

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Give me common mistakes students make in surds

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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Real-life application of probability using combinatorics

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab

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Real-life application of surds

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where surds

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Give me a 5-minute recap of indices and surds

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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