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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Adding two surds that simplify to the same root"

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: 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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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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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: 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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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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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: forming a quadratic equation from a word problem

I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe

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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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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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WAEC past-question practice: matrices #4

I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix

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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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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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