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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "the determinant of a three by three matrix"

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

Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

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Complete the square for 3x^2 + 6x - 2 = 0

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Derive the quadratic formula

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Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Divide a polynomial by a quadratic

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Worked example: standard deviation of a small data set

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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 the binomial theorem

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Test me under exam conditions on measures of dispersion

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

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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)

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

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

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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