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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "A logarithmic equation written in two different bases"

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

Teach me the suvat equations of motion

I am in SS 3. Teach me the five suvat equations of motion, when to use each one, and one w

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Last-minute WAEC Further Mathematics formula check

I am in SS 3. Quiz me rapid-fire on key Further Mathematics formulas I need to remember fo

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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Spot my mistake finding a resultant force

I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used

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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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Spot my mistake solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Show all working: calculus and stationary points multi-part

I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Practice: The condition for a quadratic equation to have equal roots

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

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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Worked Example: The equation of a circle with a given centre and radius

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

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Practice: The equation of a circle on a given diameter

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

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Quiz: The equation of the tangent to a parabola

Act as my SS3 Further Mathematics tutor and quiz me on the equation of the tangent to a pa

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Quiz: Relative velocity when the two motions are at right angles

Act as my SS3 Further Mathematics tutor and quiz me on relative velocity when the two moti

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