Hi! I'm Sam and I'm a second year mathematics student at Durham University.
In terms of my academic background, I achieved an A* at GCSE maths, before going on to study maths and further maths at A level and obtaining a high A* in both. In my first year of university I achieved marks equivalent to a first class degree.
I am interested in all areas of my subject, particularly the applied side; I am planning on a future career in financial services having spent several years working for the Royal Bank of Canada in the City of London.
Whilst I am new to mytutor, I have has a lot of experience tutoring in the past. One of my proudest achievements was having a tutee moved up from 3rd set to top set in maths after 6 months of tutoring him. I have also held other positions of responsibility including being president of my secondary school's council and head boy at my sixth form.
Outside of my studies, I love to travel - I recently journeyed through Europe and took part in an expedition to Tanzania a few years ago. I'm involved in long-distance walking, and had a brilliant time trekking the 192 mile coast to coast path across Britain. I'm also a massive sports fan and love watching football and cycling when I get the chance.
My approach to teaching
I'm very willing to tailor what I teach to each individual's needs. Whether you already know the topics you're struggling on and need some in depth sessions, or you're looking for more general guidance across the board, I'm here to help. I will take time to identify your personal needs, strengths and weaknesses so sessions can be planned to suit you.
I believe in mentoring people to think for themselves. I am happy to answer as many questions as needed and to explain how I would go about solving problems myself, in order to give you the skills you need to be confident. I understand what it's like to be completely lost and have plenty of patience for anyone who is struggling.
I aim to make all my sessions thought-provoking and fun - I guarantee you will come away feeling you have gained a lot from them.
If you have any questions, feel free to get in touch. Send me a 'WebMail' or book a 'Meet the Tutor Session'! (both accessible through this website).
Hoping to see you in the classroom soon :)
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The question requires you to work out the area of the two shapes individually and then compare your answers to see which is greater.
Firstly, to calculate the area of the parallelogram you must recall the formula 'area = base x perpendicular height'. The perpendicular height is the maximum length of a line drawn at a right angle (90 degrees) from the base. This formula makes sense because you can imagine cutting off one 'overhanging' end of the parallelogram and attaching it to the other side to form a rectangle. This is why the formula is similar to the area of a rectangle (base x height).
Using this formula the area of the parallelogram = 10 x 6 = 60cm2.
For the area of a circle, you need to remember the formula ' area = pi x radius2 '. There are many ways of remembering this very important formula including rhymes and songs. Pi is a fixed number and can be found on a calculator so there is no need to work this out. However to get the radius of the circle, you need to remember that radius = diameter divided by 2. This is because the diameter is the distance from one side of the circle to the other opposite side, while radius is the distance from the centre to the edge.
Using this, we can work out the radius of the circle = 8 / 2 = 4. Putting this into the formula for area we get, area of circle = pi x 42 = pi x 16 = 50.27cm2 (to two decimal places).
We can now see that the area of the parallelogram (60cm2) is greater than the area of the circle (50.27cm2) so the answer is the parallelogram.see more