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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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916 prompts matching "De Morgan's laws for sets"

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

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

Self-inverse functions

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

Composite function leading to solving an equation

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

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)

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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

WAEC-style past question on functions

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

WAEC-style question on evaluating composite functions

I am in SS 3. Give me a WAEC Further Maths question involving evaluating a composite funct

Structured question: solve an exponential equation using indices

I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik

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

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

Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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

Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

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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