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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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756 prompts matching "Solving a cubic that must first be rearranged"

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

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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Composite function leading to solving an equation

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

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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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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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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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WAEC exam question: solving f(x) = c for an unknown x

I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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Give me an exam formula sheet for cubic equations

I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub

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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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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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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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Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

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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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Quiz: Solving AX equals B and XA equals B by different routes

Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B

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Spot My Mistake: Forming the determinant Dx by replacing the first column

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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