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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Learn: The parabola y squared equals 4ax, with its focus and directrix"

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

Real-life application of the condition for a line to be tangent to a curve

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

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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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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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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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Practice: Factorising a quadratic with a common factor taken out first

Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Quiz: A negative value of b in the quadratic formula

Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra

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Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Final Revision: One root twice the other, and what that gives

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o

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Spot My Mistake: The value of alpha over beta plus beta over alpha

Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p

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Quiz: Solving the quadratic that results from the substitution

Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results

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Quiz: The condition for two points of intersection

Act as my SS2 Further Mathematics tutor and quiz me on the condition for two points of int

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Spot My Mistake: Finding the values of c for which a line is a tangent

Act as my SS2 Further Mathematics tutor. Work a question on finding the values of c for wh

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Learn: What makes an expression a polynomial

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol

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Quiz: The leading term and the constant term

Act as my SS2 Further Mathematics tutor and quiz me on the leading term and the constant t

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Final Revision: The degree of the product of two polynomials

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t

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