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Senior Secondary

Further Mathematics

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1,038 prompts matching "Structured question: find f^-1(x) and verify it"

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

Difference of two squares practice

Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of

Solve x^2 + 5x + 6 = 0 by factorisation

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Solve x^2 - 7x + 12 = 0 by factorisation

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Solve 2x^2 + 7x + 3 = 0 by factorisation

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Solve x^2 - 3x - 10 = 0 by factorisation

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Solve 3x^2 - 5x - 2 = 0 by factorisation

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Solve x^2 - 6x + 9 = 0 by factorisation

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Solve 2x^2 - 11x + 5 = 0 by factorisation

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Solve x^2 + x - 12 = 0 by factorisation

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Explain the factorisation method back to me

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Explain completing the square back to me

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Spot my mistake completing the square

Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi

Why does completing the square work

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Use the quadratic formula on 2x^2 - 3x - 5 = 0

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Use the quadratic formula on x^2 + 4x - 7 = 0

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Use the quadratic formula on 3x^2 + 5x + 1 = 0

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Use the quadratic formula on x^2 - 2x - 2 = 0

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Use the quadratic formula on 4x^2 - 4x - 3 = 0

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Use the quadratic formula on x^2 + x - 1 = 0

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Worked example: reading the solutions as points of intersection

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