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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,014 prompts matching "A singular matrix, and why it has no inverse"

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

Test me under exam conditions on sequences and series

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on se

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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Show that command word: quadratic factorisation

I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 + 4x - 12 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Find sum and product of roots of x^2 - 8x + 15 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

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Teach me collecting like terms across two polynomials

You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Give me practice identifying compound propositions

Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as

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Quiz me on the why p implies q is true when p is false

Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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