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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"

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WAEC Prep: Why the sum to infinity fails when the ratio reaches one

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the sum to inf

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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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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Worked example: finding the matrix of cofactors and the adjugate

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Worked Example: Collecting like surds in a single sum

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Practice: Rationalising a denominator of the form root a

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

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Spot My Mistake: Squaring a bracket that contains a surd

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Show All Working: Expressing a number in the form a root b

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

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Final Revision: Proving that root 2 is irrational

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Finding a coefficient given a stated relation between the roots

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on finding a

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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