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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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: 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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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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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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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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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Composite functions gf(x)

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Quiz me on nPr versus nCr notation

I am in SS 3. Quiz me on when to use nPr and when to use nCr, giving me short scenarios an

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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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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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