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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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362 prompts matching "Hence solve command word: cubic equations"

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: three linked function sub-questions

I am in SS 3. Give me a structured question with three parts on the same pair of functions

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Structured question: circle centre (3,-2) radius 5

I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius

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Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Give me an exam formula sheet for solving quadratics by factorisation

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

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Give me a past-paper style question bank for solving quadratics by factorisation

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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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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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: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Structured question: curve sketching using stationary points

I am in SS 3. Give me a structured question where I find the stationary points of a cubic

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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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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