Andra-Lorena G. A Level Maths tutor, GCSE Maths tutor

Andra-Lorena G.

Currently unavailable: until 23/12/2015

Studying: BSc Mathematics with Finance (Bachelors) - Exeter University

MyTutor guarantee

Contact Andra-Lorena

About me

My passion for Mathematics has been easily noticeable since primary school. In the next few years it became familiar territory, so applying for Mathematics at university has been an obvious choice. I can think of no better way to spend my spare time than passing on my passion and understanding of this subject.

Being a student myself, I believe I can communicate with other students on the same level, eliminating the pressure of an older authority figure, thus making the student a lot more confortable in asking questions and not being afraid of making mistakes.

I have been a private tutor in the past, teaching both face-to-face and online. Additionally, during the last academic year I have worked in an adventure park on weekends and during summer I’ve been fundraising for charities. My part time work has highly increased my communication skills. However, these jobs did not prevent me from studying, as I have achieved a high 1st in my first year of university. I believe the practical skills acquired from work experience combined with my outstanding academic ability will set me up with the skills to make a success of every single lesson. 

My passion for Mathematics has been easily noticeable since primary school. In the next few years it became familiar territory, so applying for Mathematics at university has been an obvious choice. I can think of no better way to spend my spare time than passing on my passion and understanding of this subject.

Being a student myself, I believe I can communicate with other students on the same level, eliminating the pressure of an older authority figure, thus making the student a lot more confortable in asking questions and not being afraid of making mistakes.

I have been a private tutor in the past, teaching both face-to-face and online. Additionally, during the last academic year I have worked in an adventure park on weekends and during summer I’ve been fundraising for charities. My part time work has highly increased my communication skills. However, these jobs did not prevent me from studying, as I have achieved a high 1st in my first year of university. I believe the practical skills acquired from work experience combined with my outstanding academic ability will set me up with the skills to make a success of every single lesson. 

Show more

No DBS Icon

No DBS Check

Qualifications

SubjectQualificationGrade
MathematicsA-level (A2)A*
Further MathematicsA-level (A2)A
BiologyA-level (A2)A

Subjects offered

SubjectQualificationPrices
MathsA Level£20 /hr
MathsGCSE£18 /hr

Questions Andra-Lorena has answered

Prove that between every two rational numbers a/b and c/d, there is a rational number (where a,b,c,d are integers)

Attempting to find the average of a/b and c/d, we have: 

(a/b+c/d)/2 = [(ad+bc)/bd]/2 = (ad+bc)/2bd

As a,b,c,d are integers, we know that ad+bc and 2bd are also integers, as the addition and multiplication of integers will always lead to another integer. 

Therefore, we can write x=ad+bc and y=2bd, where x and y are integers.

It follows that the average between a/b and c/d is now equal to x/y

As x and y are integers, x/y will be a rational number situated between a/b and c/d. 

This proof applies to any integers a,b,c,d where b and d are non-zero integers

Attempting to find the average of a/b and c/d, we have: 

(a/b+c/d)/2 = [(ad+bc)/bd]/2 = (ad+bc)/2bd

As a,b,c,d are integers, we know that ad+bc and 2bd are also integers, as the addition and multiplication of integers will always lead to another integer. 

Therefore, we can write x=ad+bc and y=2bd, where x and y are integers.

It follows that the average between a/b and c/d is now equal to x/y

As x and y are integers, x/y will be a rational number situated between a/b and c/d. 

This proof applies to any integers a,b,c,d where b and d are non-zero integers

Show more

2 years ago

1423 views

Arrange a free video meeting


To give you a few options, we can ask three similar tutors to get in touch. More info.

Contact Andra-Lorena

How do we connect with a tutor?

Where are they based?

How much does tuition cost?

How do tutorials work?

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok