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Senior Secondary

Further Mathematics

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1,334 prompts matching "Teach me converse and inverse propositions"

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

Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

Spot my mistake in a Pascal's row truth table

I am in SS 3. I will show you my attempt at a truth table for a compound proposition with

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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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

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

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

Learn: The resultant of two perpendicular forces

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

Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

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

Learn: Finding two unknown forces by Lami's theorem

You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by

Learn: Finding the coefficient of a stated power in an expansion

You are my personal SS3 Further Mathematics tutor. Teach me finding the coefficient of a s

Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

Learn: Subtracting one vector from another

You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an

Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

Learn: Differentiating sin of a multiple of x

You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi

Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

Learn: Connected rates of change through the chain rule

You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro

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