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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,064 prompts matching "Show that command word: negation of a compound statement"

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: 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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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

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Evaluate a 2x2 determinant #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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WAEC Further Mathematics: matrices in a real-world context

I am in SS 3. Give me a WAEC Further Mathematics style word problem that applies matrix op

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Common Mistakes: A binary operation defined by arithmetic modulo n

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Common Mistakes: Solving an exponential equation using logarithms

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Common Mistakes: Three roots in geometric progression in a cubic

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Common Mistakes: Arrangements restricted at the first or the last place

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Common Mistakes: The angle between two lines found from their gradients

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Common Mistakes: The condition for a line to be a tangent to a circle

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Common Mistakes: Identifying a conic from a general second-degree equation

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