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Further Mathematics

AI prompts for senior secondary learners.

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1,067 prompts matching "Approximating a surd to three decimal places"

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

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

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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One-to-one versus many-to-one functions

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

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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

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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

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Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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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

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Non-calculator paper: simplify an index expression

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

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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: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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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

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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

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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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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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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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

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