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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "IGCSE Additional Maths Y11: What a stationary point is — Teach Me"

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

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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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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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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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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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: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Structured question: circle and line with an unknown intercept

I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno

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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: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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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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Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

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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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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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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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Worked Example: Adding two 3 by 3 matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding

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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

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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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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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