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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "The condition for the line never to meet the curve"

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

Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon

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Quiz: Checking a 3 by 3 inverse by multiplication

Act as my SS3 Further Mathematics tutor and quiz me on checking a 3 by 3 inverse by multip

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Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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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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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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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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Quiz: Finding alpha cubed plus beta cubed

Act as my SS3 Further Mathematics tutor and quiz me on finding alpha cubed plus beta cubed

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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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Inequality word problem with a real-life constraint

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

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Evaluating a function at a given value

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

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Domain and range of an inverse function

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

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Self-inverse functions

I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct

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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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WAEC exam question: solving an equation involving surds

I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai

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Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

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Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

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