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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,153 prompts matching "IGCSE Additional Maths Y10: Finding k so that a quadratic has equal roots — Expl"

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

Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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Worked Example: Adding two 3 by 3 matrices

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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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Worked Example: Taking a common factor out of a matrix

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

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

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Learn: Deciding whether a stated matrix calculation is possible at all

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Learn: The effect on a determinant of swapping two rows

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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Worked Example: Forming the determinant Dy by replacing the second column

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Learn: The order of the steps in inverting a 3 by 3 matrix

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

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Learn: Inertia, and what mass actually measures

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

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Learn: Converting a weight given in kilogram-force into newtons

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Worked Example: The direction of the resultant of two forces

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Learn: The resultant of two perpendicular forces

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Learn: The component of a force along a stated direction

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