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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Combining several index laws in one simplification"

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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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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

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

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Worked Example: The units of mass, and the SI unit

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Quiz: Why mass stays the same wherever the body is taken

Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th

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

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

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Worked Example: The direction of the resultant of two forces

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

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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Spot My Mistake: The greatest and the least resultant of two given forces

Act as my SS3 Further Mathematics tutor. Work a question on the greatest and the least res

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Learn: A space diagram and a force diagram drawn side by side

You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di

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Learn: What an unclosed polygon of forces tells you

You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo

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Quiz: The coefficient of friction between two surfaces

Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between

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Spot My Mistake: Why friction does not depend on the area of contact

Act as my SS3 Further Mathematics tutor. Work a question on why friction does not depend o

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Learn: The algebraic sum of moments when the senses differ

You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w

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Spot My Mistake: When Lami's theorem may be used, and when it may not

Act as my SS3 Further Mathematics tutor. Work a question on when Lami's theorem may be use

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Learn: The expectation of a discrete random variable

You are my personal SS3 Further Mathematics tutor. Teach me the expectation of a discrete

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