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Further Mathematics

AI prompts for senior secondary learners.

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590 prompts matching "Deciding whether two given surds are equal without a calculator"

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

Common Mistakes: The relative displacement of two bodies after a given time

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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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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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Show that command word: surd simplification

I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp

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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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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

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Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

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Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

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Express 2x^2 - 8x + 3 in completed-square form

I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for

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Express x^2 - 9x + 4 in completed-square form

I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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