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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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343 prompts matching "Sentences that are not propositions"

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

Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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WAEC exam question: polynomial division real-world framing

I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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WAEC past-question practice: matrices #3

I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat

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WAEC past-question practice: matrices #4

I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix

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WAEC past-question practice: matrices #6

I am in SS 3. Give me a WAEC past-question on matrices that awards marks for method as wel

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WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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