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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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991 prompts matching "Verifying an index law with numbers"

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

WAEC-style multi-mark question on completing the square

I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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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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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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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: Factorising a quadratic whose leading coefficient is not one

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

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Show All Working: A quadratic whose two roots are both negative

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

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Common Mistakes: Writing down the roots once the brackets are found

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

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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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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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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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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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Practice: Finding the matching value of the second unknown

Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma

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Show All Working: The point of contact when a line touches a curve

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co

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Worked Example: The degree of a polynomial in one variable

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

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Practice: Polynomial notation such as P of x

Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not

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