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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Quiz: The value of one over alpha squared plus one over beta squared"

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

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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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: 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: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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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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Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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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: 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: 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: 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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Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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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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WAEC Prep: Adding two 2 by 2 matrices entry by entry

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: Checking a matrix subtraction by adding back

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking a matrix

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