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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Solving an equation with a fractional exponent on x"

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

Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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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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Diagnose my weak topics using a short quiz

I am in SS 3. Give me one short question from each major topic covered so far in Further M

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Help me interpret my own WAEC Further Maths past mistakes

I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math

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Worked Example: Adding two 3 by 3 matrices

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

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Practice: A 2 by 2 matrix multiplied by a column vector

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Worked Example: The associative law for the product of three matrices

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Practice: Evaluating AB minus BA

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

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Worked Example: The weight of a body as mass times g

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Practice: The parallelogram law of forces

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

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Worked Example: Finding a value from a given probability by working backwards

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

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Practice: Using the normal tables when the z-score is negative

Act as my SS3 Further Mathematics tutor. Give me five practice questions on using the norm

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Practice: The magnitude of the sum of two vectors

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

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Worked Example: Testing two vectors for perpendicularity

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Worked Example: Squaring a complex number

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Practice: Differentiating x squared from first principles

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Worked Example: Differentiating a bracket raised to a power

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