6th Form Enrollment Algebra Test for Maths 2020

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StudentZee
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Hi. I have chosen Maths as one of my subjects for 6th form starting from September 2020. We are going to have an Algebra Test on enrolment day. Can someone please tell me the topics I should revise for this?
Need it urgently. Thanks
Last edited by StudentZee; 9 months ago
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Plücker
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(Original post by StudentZee)
Hi. I have chosen Maths as one of my subjects for 6th form starting from September 2020. We are going to have an Algebra Test on enrolment day. Can someone please tell me the topics I should revise for this?
Need it urgently. Thanks
Not only will these resources help you prepare for the test, they will also help to prepare you for the A level course.

https://www.mathsgenie.co.uk/resourc...ng-algebra.pdf
https://www.mathsgenie.co.uk/resourc...bstitution.pdf
https://www.mathsgenie.co.uk/resourc...-equations.pdf
https://www.mathsgenie.co.uk/resources/4-indices.pdf
https://www.mathsgenie.co.uk/resourc...equalities.pdf
https://www.mathsgenie.co.uk/resourc...-equations.pdf
https://www.mathsgenie.co.uk/resourc...-factorise.pdf
https://www.mathsgenie.co.uk/resourc...he-subject.pdf
https://www.mathsgenie.co.uk/resourc...quadratics.pdf
https://www.mathsgenie.co.uk/resourc...actorising.pdf
https://www.mathsgenie.co.uk/resourc...-equations.pdf
https://www.mathsgenie.co.uk/resourc...e-brackets.pdf
https://www.mathsgenie.co.uk/resourc...quadratics.pdf
https://www.mathsgenie.co.uk/resourc...-fractions.pdf
https://www.mathsgenie.co.uk/resourc...er-formula.pdf
https://www.mathsgenie.co.uk/resources/functions.pdf
https://www.mathsgenie.co.uk/resourc...-equations.pdf
https://www.mathsgenie.co.uk/resourc...the-square.pdf
https://www.mathsgenie.co.uk/resourc...equalities.pdf

I wouldn't worry, for now, about things that are not part of the GCSE syllabus.
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StudentZee
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(Original post by theJoyfulGeek)
A level further mathematician here (who's never done an enrolment test, so is not an expert), but my guess:
Making X the subject of the equation - something a lot of the people I tutor struggle with.
Factorising - an oldie, but a goodie.
Adding and subtracting algebraic expressions - basic stuff which is useful.
Simplifying algebraic fractions - always useful, and algebraic fractions show up a lot in the A level.
Dividing algebraic equations by other algebraic equations: ie x^3 + 2x^2 - x - 2 divided by (x-1).
Remainder theorem and factor theorem - if α is a root of the equation, f(α) = 0.
For instance:


$f(x) = x^3 + 2x^2 - x - 2 = 0$//

As $f(1) = 1 + 2 - 1 - 2 = 0$ then

$1$ is a root of $f(x)$ so that when $f(x)$ is divided by $(x-1)$ the remainder is 0.
That was a rubbish explanation - sorry.
Quadratic formula - always good to know, and useful:


$\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Edit: Anyway, this is just my guess of what could show up. Have you been given a revision list?
Also, maybe you could also do algebra in the context of volumes and surface areas, or basic differentiation, but I have no idea.
Thanks for trying to help. appreciate it
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StudentZee
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Thanks man. It's just because I really do want to show that I am suitable for this course. Pray4Me
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StudentZee
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(Original post by theJoyfulGeek)
A level further mathematician here (who's never done an enrolment test, so is not an expert), but my guess:
Making X the subject of the equation - something a lot of the people I tutor struggle with.
Factorising - an oldie, but a goodie.
Adding and subtracting algebraic expressions - basic stuff which is useful.
Simplifying algebraic fractions - always useful, and algebraic fractions show up a lot in the A level.
Dividing algebraic equations by other algebraic equations: ie x^3 + 2x^2 - x - 2 divided by (x-1).
Remainder theorem and factor theorem - if α is a root of the equation, f(α) = 0.
For instance:


$f(x) = x^3 + 2x^2 - x - 2 = 0$//

As $f(1) = 1 + 2 - 1 - 2 = 0$ then

$1$ is a root of $f(x)$ so that when $f(x)$ is divided by $(x-1)$ the remainder is 0.
That was a rubbish explanation - sorry.
Quadratic formula - always good to know, and useful:


$\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Edit: Anyway, this is just my guess of what could show up. Have you been given a revision list?
Also, maybe you could also do algebra in the context of volumes and surface areas, or basic differentiation, but I have no idea.
oh and btw I undertand your factor theorem explanation. 1 is root as 1 subbed in gives 0 but it's prob much harder
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