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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,034 prompts matching "Showing a set is not closed by a single counter-example"

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

Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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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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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Worked Example: Adding two 3 by 3 matrices

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

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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WAEC Prep: When Cramer's rule is quicker than elimination

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through when Cramer's rule

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WAEC Prep: Setting out the coefficient determinant for two simultaneous equations

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Worked Example: Forming the determinant Dy by replacing the second column

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

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through what Cramer's rule

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WAEC Prep: Setting out Cramer's rule for three simultaneous equations

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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