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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,307 prompts matching "Learn: Solving an equation by writing both sides to the same base"

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

What a function is and function notation

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

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Evaluating a function at an algebraic input

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

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Mapping diagrams and function types

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

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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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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)

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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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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

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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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Show that command word: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

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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

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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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Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

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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

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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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WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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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

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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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

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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

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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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