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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Converting an answer back out of index form"

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Compare WAEC and Cambridge phrasing for the same topic

I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question

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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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WAEC exam question: sequences applied to loan repayment

I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Worked Example: A singular matrix, and why it has no inverse

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing

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Learn: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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Learn: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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Learn: A space diagram and a force diagram drawn side by side

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Practice: Finding an unknown force from a closed polygon

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding an unk

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Practice: Limiting friction, and the greatest value it can reach

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Practice: Using a binomial expansion to approximate a number

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Learn: Finding lambda from a stated mean

You are my personal SS3 Further Mathematics tutor. Teach me finding lambda from a stated m

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Worked Example: The distance between two points in three dimensions

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Learn: The unit vectors i, j and k

You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w

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