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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "Equation of a line given gradient and one point"

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

Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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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

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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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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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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WAEC exam question: forming a quadratic equation from a word problem

I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Show All Working: Finding a coefficient given a stated relation between the roots

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on finding a

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Final Revision: Checking a symmetric-function answer by solving the equation outright

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Show All Working: Solving a cubic equation by factorisation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Final Revision: Checking that the roots found satisfy the original equation

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Show All Working: The time at which two bodies are nearest one another

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the time a

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Final Revision: Showing that a given motion is simple harmonic

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Show All Working: The work done in stretching an elastic string

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the work d

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Evaluating a function at a given value

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

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Range of a simple function from its graph or values

I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si

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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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