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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 "An element with no inverse under a given operation"

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

Learn: The kinetic energy of a moving body

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

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Scalar multiplication of a matrix #4

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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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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Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Quiz me on equilibrium conditions

I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Learn: The sum of the roots of a cubic read from its coefficients

You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi

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Learn: Two particles joined by a light inextensible string over a smooth pulley

You are my personal SS3 Further Mathematics tutor. Teach me two particles joined by a ligh

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Learn: The defining equation of simple harmonic motion

You are my personal SS3 Further Mathematics tutor. Teach me the defining equation of simpl

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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Domain of a simple algebraic function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Testing whether a relation is a function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test

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Composite functions gf(x)

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

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Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

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Quiz me rapid-fire on evaluating functions

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Give me a full Additional Maths style Paper 1 question set

I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques

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