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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Structured question: complete the square then find the minimum"

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

Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: 3x3 matrix multiplication

I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Quiz: Testing a binary operation for commutativity

Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm

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Quiz: Forming a quadratic equation whose roots are given

Act as my SS3 Further Mathematics tutor and quiz me on forming a quadratic equation whose

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Quiz: Solving a quadratic inequality using a sign table

Act as my SS3 Further Mathematics tutor and quiz me on solving a quadratic inequality usin

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Quiz: Choosing a committee of r people from n

Act as my SS3 Further Mathematics tutor and quiz me on choosing a committee of r people fr

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Learn: Solving sin x equals a given value between 0 and 360 degrees

You are my personal SS3 Further Mathematics tutor. Teach me solving sin x equals a given v

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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: Angular velocity, and how it relates to linear speed

You are my personal SS3 Further Mathematics tutor. Teach me angular velocity, and how it r

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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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Show that command word: surd simplification

I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp

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