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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "Practice: Deciding whether root 16 is rational or irrational"

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

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

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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: 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: 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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Explain Back: Showing that a system of concurrent forces is in equilibrium

I have just studied showing that a system of concurrent forces is in equilibrium in my SS3

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Spot My Mistake: The moment of a force whose line of action is not perpendicular

Act as my SS3 Further Mathematics tutor. Work a question on the moment of a force whose li

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Explain Back: A probability distribution table for a discrete random variable

I have just studied a probability distribution table for a discrete random variable in my

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Practice: The probability of exactly r events in a Poisson distribution

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit

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Practice: The variance of a binomial distribution as npq

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the variance o

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Explain Back: Testing whether data are Poisson by comparing mean and variance

I have just studied testing whether data are Poisson by comparing mean and variance in my

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

Act as my SS3 Further Mathematics tutor. Work a question on the proportion of a normal dis

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Spot My Mistake: When the normal distribution may approximate the binomial

Act as my SS3 Further Mathematics tutor. Work a question on when the normal distribution m

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Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

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Practice: Why complex roots of a real quadratic come in conjugate pairs

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Practice: The conservation of momentum in a collision

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati

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Practice: The middle term when the power is odd

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter

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