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Senior Secondary

Further Mathematics

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1,334 prompts matching "Teach me rationalising the denominator"

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

Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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

Give me an exam formula sheet for surds

I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying

Give me a past-paper style question bank for surds

I am in SS 3. Give me a bank of four exam-style questions on simplifying and rationalising

Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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

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Sample

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: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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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