PremiumSioned D. 13 Plus  English tutor, 11 Plus English tutor, 13 Plus  Mat...

Sioned D.

£36 /hr

Law (Bachelors) - University College London University

4.9
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80 reviews

Trusted by schools

This tutor is also part of our Schools Programme. They are trusted by teachers to deliver high-quality 1:1 tuition that complements the school curriculum.

189 completed lessons

About me

Hi! My name is Sioned, a UCL Law Graduate and Cambridge University Masters student. 

I have a great deal of experience in teaching students for the 11+ / 13+, English, Maths, Sciences and History at KS3 and GCSE. I can also help with Personal Statements and the Law National Admissions Test (LNAT).  

I love tutoring and teach regularly on the Schools programme. Having taught approx.100 students, I have come across so many problems that students face with their studies and am always happy to help!

Hi! My name is Sioned, a UCL Law Graduate and Cambridge University Masters student. 

I have a great deal of experience in teaching students for the 11+ / 13+, English, Maths, Sciences and History at KS3 and GCSE. I can also help with Personal Statements and the Law National Admissions Test (LNAT).  

I love tutoring and teach regularly on the Schools programme. Having taught approx.100 students, I have come across so many problems that students face with their studies and am always happy to help!

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About my sessions

The sessions are structured around you. After our initial 15 minutes free chat about what you need from me, I structure a plan to help you achieve what you set out to achieve....

This includes 

 - Using diagrams, sketches, videos, textbooks and good examples to help you understand a topic

 - Past exam papers and questions that will help you understand what is expected of you 

 -Repetition and revision of things that you don't understand 

 - Marked papers and clear constructive criticism for improvement 

 - I also use worksheets and past exams as homework if you want to consolidate what you learned

The sessions are structured around you. After our initial 15 minutes free chat about what you need from me, I structure a plan to help you achieve what you set out to achieve....

This includes 

 - Using diagrams, sketches, videos, textbooks and good examples to help you understand a topic

 - Past exam papers and questions that will help you understand what is expected of you 

 -Repetition and revision of things that you don't understand 

 - Marked papers and clear constructive criticism for improvement 

 - I also use worksheets and past exams as homework if you want to consolidate what you learned

Show more

Personally interviewed by MyTutor

We only take tutor applications from candidates who are studying at the UK’s leading universities. Candidates who fulfil our grade criteria then pass to the interview stage, where a member of the MyTutor team will personally assess them for subject knowledge, communication skills and general tutoring approach. About 1 in 7 becomes a tutor on our site.

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Enhanced DBS Check

18/01/2017

Ratings & Reviews

4.9from 80 customer reviews
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Sienna (Student)

June 18 2018

Very clear, helpful and teaches in depth and furthers understanding immensely!

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Sienna (Student)

June 12 2018

very helpful

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Clare (Parent from Southsea)

June 4 2018

Math GCSE - Sioned has been fantastic tutor for my daughter, Eleanor; not only have the sessions been very productive academically but Sioned has been supportive, inspirational and motivational. Sioned is very friendly and approachable and Eleanor has enjoyed each session.

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Clare (Parent from Southsea)

May 18 2018

very helpful

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Qualifications

SubjectQualificationGrade
EnglishA-level (A2)A*
HistoryA-level (A2)A*
BiologyA-level (A2)A
MusicA-level (A2)A
Mathematics (AS)A-level (A2)A
Welsh Baccalaureate A-level (A2)A

General Availability

Pre 12pm12-5pmAfter 5pm
mondays
tuesdays
wednesdays
thursdays
fridays
saturdays
sundays

Subjects offered

SubjectQualificationPrices
BiologyGCSE£36 /hr
EnglishGCSE£36 /hr
HistoryGCSE£36 /hr
MathsGCSE£36 /hr
English13 Plus£36 /hr
Maths13 Plus£36 /hr
English11 Plus£36 /hr
Maths11 Plus£36 /hr
-Personal Statements-Mentoring£36 /hr
.LNAT.Uni Admissions Test£36 /hr

Questions Sioned has answered

Prove that (2n+3)^2-(2n-3)^2 is a multiple of 8 for positive integer values of n

To prove that (2n+3)2-(2n-3)is a multiple of 8 we are going to deal with the first bracket and then the second bracket. 

When a bracket has next to it, this means that you multiplying the bracket, by the bracket itself. 

So, we are going to put them side by side, like this:

(2n  +3) (2n + 3) 

To multiply everything in the first bracket, by everything in the second bracket, we can use a multiplication square, or, we can use this easy way to remember how to multiply out the bracket. 

F O I L 

This stands for: 

First 

Outside 

Inside 

Last 

This means that you are going to multiply the first two terms in the brackets by each other

2n x 2n =4n2

Then you are going to multiply the outside terms in the brackets by each other. 

2n x 3 = 6n

Then you multiply the inside terms by each other, 

2n x 3 = 6n

Then you multiply the last two terms in each bracket by each other. 

3 x 3 = 9 (be careful of the negatives here)

Putting all of this together, we get:

4n2 + 6n + 6n +9

Well done, first bit complete!

*****************************************

Then you deal with the second bit 

- (2n-3)2

So, be very careful here. There is a negative sign in front of the bracket. To avoid confusion later on, let's put a big bracket around it. 

- [(2n-3)2]

everything we do in this section is going to be inside that big square bracket...

-[(2n-3)(2n-3)]

following FOIL again and keeping that big bracket in place...

-[4n-6n -6n +9]

make sure you watch out for that (-3 x -3) which makes a +9

and then, because we have that big bracket around this equation, we are going to multiply it out. 

so, 

-4n2 + 12n -9

********************************************************

So putting the first bit and the second bit together (and watching out for those negatives!), we get...

4n+12n +9 - 4n2 + 12n -9

now we are going to tidy that up a little bit, collecting the like terms....

4n2 -4n=0

and +9 -9 =0

So, we are just left with 24n 

If you didn't know what an integer was... it means WHOLE NUMBER. So to show that the integer is a multiple of 8, we are going to show that 

to get 24n you can take out a factor of 8...

and this leaves you with 8(3n). 

this shows that if you take out a factor of 8 you still get a whole number in front of n, which answers the question!

To prove that (2n+3)2-(2n-3)is a multiple of 8 we are going to deal with the first bracket and then the second bracket. 

When a bracket has next to it, this means that you multiplying the bracket, by the bracket itself. 

So, we are going to put them side by side, like this:

(2n  +3) (2n + 3) 

To multiply everything in the first bracket, by everything in the second bracket, we can use a multiplication square, or, we can use this easy way to remember how to multiply out the bracket. 

F O I L 

This stands for: 

First 

Outside 

Inside 

Last 

This means that you are going to multiply the first two terms in the brackets by each other

2n x 2n =4n2

Then you are going to multiply the outside terms in the brackets by each other. 

2n x 3 = 6n

Then you multiply the inside terms by each other, 

2n x 3 = 6n

Then you multiply the last two terms in each bracket by each other. 

3 x 3 = 9 (be careful of the negatives here)

Putting all of this together, we get:

4n2 + 6n + 6n +9

Well done, first bit complete!

*****************************************

Then you deal with the second bit 

- (2n-3)2

So, be very careful here. There is a negative sign in front of the bracket. To avoid confusion later on, let's put a big bracket around it. 

- [(2n-3)2]

everything we do in this section is going to be inside that big square bracket...

-[(2n-3)(2n-3)]

following FOIL again and keeping that big bracket in place...

-[4n-6n -6n +9]

make sure you watch out for that (-3 x -3) which makes a +9

and then, because we have that big bracket around this equation, we are going to multiply it out. 

so, 

-4n2 + 12n -9

********************************************************

So putting the first bit and the second bit together (and watching out for those negatives!), we get...

4n+12n +9 - 4n2 + 12n -9

now we are going to tidy that up a little bit, collecting the like terms....

4n2 -4n=0

and +9 -9 =0

So, we are just left with 24n 

If you didn't know what an integer was... it means WHOLE NUMBER. So to show that the integer is a multiple of 8, we are going to show that 

to get 24n you can take out a factor of 8...

and this leaves you with 8(3n). 

this shows that if you take out a factor of 8 you still get a whole number in front of n, which answers the question!

Show more

2 years ago

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