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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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720 prompts matching "Create a revision plan for differentiation"

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

Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: AP and GP sharing the same first three terms

I am in SS 3. Give me a structured question describing a sequence whose first three given

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Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: stationary point on a curve with an unknown constant

I am in SS 3. Give me a structured differentiation question where a curve contains an unkn

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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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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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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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Structured question: solving a trig equation involving a double angle

I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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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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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Practice: The transpose of a 2 by 3 matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose

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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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Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

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