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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,300 prompts matching "Simplifying an expression with letters and indices"

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: 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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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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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: surd equation with a solution to reject

I am in SS 3. Give me a structured surd equation question where squaring both sides introd

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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: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Structured question: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

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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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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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Practice: The transpose of a 2 by 3 matrix

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

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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

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Practice: The value of g used in Nigerian examination papers

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the value of g

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Practice: The direction of the resultant of several coplanar forces

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

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Practice: Finding an unknown force from a closed polygon

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding an unk

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Practice: Using a binomial expansion to approximate a number

Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi

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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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Practice: The dot product as the magnitudes times the cosine of the angle

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

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Practice: The argument of a complex number in the second or third quadrant

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

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Practice: The range of a projectile on level ground

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the range of a

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