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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Completing a Cayley table for an operation on a small set"

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

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Teach me what a vector is

Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,

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Explain vectors back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add vectors and fin

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Worked example: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find the magnitude of the vector (3,4)

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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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WAEC Prep: A quadratic with a repeated root

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

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

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Show All Working: What the factor theorem says about the roots

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WAEC Prep: Factorising the difference of two cubes

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Show All Working: The distributive laws in logic

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WAEC Prep: A tautology used to justify a rule of algebra

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Show All Working: The complement rule used in a counting problem

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Show All Working: The binomial coefficients written as n choose r

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WAEC Prep: The two middle terms when n is odd

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