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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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990 prompts matching "Learn: What a sequence is, and what a term means"

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

Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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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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Worked example: find the unit vector in the direction of (6,8)

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Worked example: how many ways can 5 books be arranged on a shelf

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Worked example: in how many ways can 6 people be seated around a circular table

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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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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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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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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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WAEC Prep: A quadratic with a repeated root

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