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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 "Surds that cannot be combined at all"

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Final Revision: Why completing the square always works

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Worked Example: The product of the roots as c over a

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WAEC Prep: Checking the sum and product against the solved roots

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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked Example: The discriminant used as the test for intersection

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Final Revision: A word problem about a line and a parabola

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Worked Example: The degree of a polynomial in one variable

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Final Revision: The degree of the product of two polynomials

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Worked Example: The division algorithm for polynomials

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WAEC Prep: Dividing by a factor of the form ax plus b

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Final Revision: Writing the result of a polynomial division out in full

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Worked Example: The remainder on dividing by x minus 3

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