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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Factorising a quadratic with a coefficient in front of x squared"

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

Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Give me a past-paper style question bank for the remainder theorem

I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin

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Give me a past-paper style question bank for indices

I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe

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Give me a past-paper style question bank for coordinate geometry

I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina

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Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Give me a past-paper style question bank for permutations and combinations

I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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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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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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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: 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: 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: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

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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: 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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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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