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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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959 prompts matching "Finding a and b when a plus b root 2 equals a given surd"

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

Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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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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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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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Show all your working command word: simultaneous equations

I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh

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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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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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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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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

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Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

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Common Mistakes: A sign error in the formula, and how to catch it

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

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

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

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Common Mistakes: A symmetric function needing the sum and product twice over

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

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Worked Example: Substituting into the quadratic and tidying up

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

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Common Mistakes: A word problem giving one linear and one quadratic equation

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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Common Mistakes: A line and a curve meeting once without the line being a tangent

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a l

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