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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,315 prompts matching "Rationalising and then simplifying fully"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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WAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: The identity matrix, and what it does in a product

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Worked Example: A singular matrix, and why it has no inverse

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing

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WAEC Prep: A matrix expression with brackets to expand

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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WAEC Prep: Expanding a 3 by 3 determinant down a column

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through expanding a 3 by 3

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WAEC Prep: Expanding a 3 by 3 determinant along the first row

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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WAEC Prep: How long the inverse of a 3 by 3 matrix takes, and how to shorten it

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through how long the inver

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WAEC Prep: The inverse of a 3 by 3 matrix from its adjoint and its determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: Reading the solution off the product of the inverse and the constants

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through reading the soluti

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WAEC Prep: A particle, and what the word assumes

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a particle, and wh

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WAEC Prep: A rigid body, and what the word assumes

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a rigid body, and

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