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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "The factor theorem applied to a quartic"

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

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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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: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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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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Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

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Build me a two-week countdown revision schedule

I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further

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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: 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: 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: 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: 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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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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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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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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WAEC exam question: polynomial division real-world framing

I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi

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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 recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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