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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,332 prompts matching "The difference of two squares applied to surd conjugates"

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

Domain of a simple algebraic function

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

Testing whether a relation is a function

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

The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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

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^

Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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

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

Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

Non-calculator paper: exact trigonometric values

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

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

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

Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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