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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,035 prompts matching "A binary operation defined on a set of three elements"

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

Teach me what a complex number is

Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Explain complex numbers back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a

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Teach me adding and subtracting matrices

Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o

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Give me memory tricks for Further Maths formulas

Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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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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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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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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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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WAEC Prep: A quadratic with a repeated root

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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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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WAEC Prep: What the formula gives when the discriminant is negative

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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

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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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