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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 "The vector from A to B as the difference of two position vectors"

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

Give me common mistakes students make in surds

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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

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

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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 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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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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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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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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Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

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Spot My Mistake: A pair with equal roots, meaning one solution only

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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Spot My Mistake: A division that leaves a linear remainder

Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea

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Explain Back: A cubic with a repeated root

I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let

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Show All Working: Solving a cubic that must first be rearranged

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

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Worked Example: Sentences that are not propositions

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Worked Example: Conjunction in a three-variable truth table

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

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