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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,130 prompts matching "Deciding whether a number belongs to a given arithmetic progression"

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

Structured question: identify a tautology using a truth table

I am in SS 3. Set me a structured question where I build a truth table for a compound stat

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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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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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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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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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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Quiz: The zero matrix, and how it differs from nought in arithmetic

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

Act as my SS3 Further Mathematics tutor. Work a question on drawing the triangle of forces

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Explain Back: Why the total moment about any point must be nought

I have just studied why the total moment about any point must be nought in my SS3 Further

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Explain Back: The units of a moment, and why they are newton metres

I have just studied the units of a moment, and why they are newton metres in my SS3 Furthe

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

Act as my SS3 Further Mathematics tutor. Work a question on using concurrence to find the

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Spot My Mistake: Why the probabilities in a distribution must sum to one

Act as my SS3 Further Mathematics tutor. Work a question on why the probabilities in a dis

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WAEC Prep: The most likely number of successes in n trials

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the most likely nu

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WAEC Prep: The expected number of successes in a practical problem

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the expected numbe

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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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Explain Back: Converting a value to a z-score

I have just studied converting a value to a z-score in my SS3 Further Mathematics class. L

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Worked Example: Finding a value from a given probability by working backwards

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WAEC Prep: Finding the mean or the standard deviation from a given probability

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through finding the mean o

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