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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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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

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

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

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

Explain equal complex numbers

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

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

Quiz: Finding alpha cubed plus beta cubed

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

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

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

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

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

Mapping diagrams and function types

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

Composite functions fg(x)

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

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

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

Self-inverse functions

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

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)

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

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

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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