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Further Mathematics

AI prompts for senior secondary learners.

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1,332 prompts matching "Explain sum and product of roots back to me"

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

Give me a past-paper style question bank for the remainder theorem

I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin

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Give me a past-paper style question bank for cubic equations

I am in SS 3. Give me a bank of four exam-style questions on solving cubic equations, rang

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Give me a past-paper style question bank for functions

I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio

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Give me a past-paper style question bank for indices

I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe

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Give me a past-paper style question bank for surds

I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising

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Give me a past-paper style question bank for logarithms

I am in SS 3. Give me a bank of four exam-style questions on the laws of logarithms, rangi

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Give me a past-paper style question bank for coordinate geometry

I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Give me a past-paper style question bank for propositional logic

I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an

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Give me a past-paper style question bank for differentiation basics

I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar

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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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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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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Spot my mistake in a matrix transpose

I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

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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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Testing whether a relation is a function

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

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The vertical line test

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

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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

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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^

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