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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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291 prompts matching "Surds arising from Pythagoras' theorem"

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

Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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

Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

Finding f(x) given a description of the function rule

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

Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

Structured question: solve a trig equation for all solutions in range

I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an

Non-calculator paper: exact trigonometric values

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

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

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

WAEC exam question: testing an argument with a truth table

I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and

Structured question: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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