<p>With such a variety of questions, GCSE Maths can be a real headache for students. In individual sessions with a GCSE Maths tutor you can focus on exactly the topics you need help with. In our online classroom, tutors use diagrams, graphs and illustrations to enhance their lessons.</p>
<p>From algebra to indices, <strong>they will explain concepts at your own pace and in new ways so that you fully understand them.</strong> So when your GCSE exams come round, you'll be able to tackle even the most difficult questions on the paper.</p>

- Recent experience
- Proven exam success
- Strong communication skills
- Personally interviewed
- A or A* in their subjects
- Up-to-date syllabus knowledge

Joseph has been the most fantastic help with GCSE revision this Easter. He's given up a huge amount of time, is encouraging, flexible, easy to deal with, focussed, targeted - the all round perfect tutor. His greatest achievement is to have taught my son how to enjoy maths. A lifetime's terror of the subject has turned into enjoyment. My son said he'll miss maths and he thinks he has a good chance of getting a high grade. Unthinkable before Joseph started helping him a few months ago.

Alison, Parent from Hertfordshire

This was my son's final Math's Tutorial with Jonny - GCSE today! Jonny has been a huge help over the past months, and with his patient and supportive teaching style has, I'm certain, contributed to the potential for a much better grade pass for my son. Totally and utterly recommended. Thank you Jonny.

Emma, Parent from Cornwall

I cannot praise this tutor enough. Highly skilled in mathematics, teaches at the student's pace, patient and super efficient. A conscientious person who responds immediately to messages. The lesson was tailor made to suit my own needs. Mayur is excellent at pin pointing math problems quickly - taking things back to basic principals where needed. A most enjoyable tutorial - I would highly recommend this very gifted tutor to students of every ability.

Elizabeth, Student

Parent review - it's a relief to see my son start to understand GCSE maths topics that he has struggled with. His confidence is growing with Chris's help. Chris isn't phased by any questions or topics thrown at him, and is able to clearly explain the methods needed to answer maths questions.

Kelly, Parent from Kent

Why limit yourself to someone who lives nearby, when you can choose from tutors across the UK?

By removing time spent travelling, you make tuition more convenient, flexible and affordable

We've combined live video with a shared whiteboard, so you can work through problems together

All your Online Lessons are recorded. Make the most out of your live session, then play it back after

Usually we cover both subject knowledge and exam technique, although that can change depending on each individual student. Then we go through diagrams, and they ask questions, and we go from there.

Lots of students say that the classes are too big in school, or that they don't have time to ask teachers after Online Lessons. In my Online Lessons, we take time to explore things in a little in a bit more detail.

I always look up the board my students are taking so the Online Lessons are really relevant. Then we go through past papers or set texts, whatever the student finds helpful.

I use the shared whiteboard. We make diagrams together and label them, and often the student prints it off because they know it's right and they completely understand it.

After tutoring one girl went and told all her friends the new explanation I gave her. And she was so excited about what she wrote in the exam she emailed me immediately afterwards.

There was one girl who had her exam on Monday. She wanted tuition on Friday, Saturday and Sunday beforehand. It was very intense, but she said the exam went well.

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2.
2 is a prime number so we don't need to break the 2's down any more.
Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3
Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.
Now we collect the factors, so our final answer is 60 = 5 x 3 x 2^{2}.

Answered by Aidan H.

Studies Mathematics MMath at Durham

Before we begin lets quickly do some reviewing. What are fractions and how can we write them? Fractions are often used when we don't want to write down numbers that are really long. A **fraction**, simply put is a **division**. The number on the top of the fraction is called the *numerator*,** **whilst the number on the bottom is called the **denominator**. These terms might be a bit tricky to remember so I'll quickly show you a method to remember these words. Drawing wierd pictures with them actually help me to remember what term means what, for example, whenever I hear the word numerator I might think of the moon because the first bit of the word 'numerator' sounds a little bit like the word 'moon', which is very high up, like the numerator in a fraction. Similarly, 'denominator' begins with the letter 'd', as does the word 'down' so we can think of denominators as being on the bottom of the fraction. You may remember these words slightly differently, but silly images can actually help these words stick in your head and can be very funny too! You can also **simplify fractions. **This means that we can write the fraction with smaller numbers on the top and bottom, but the fraction gives exactly the same value. Let's see which of the above fractions can be simplified: 3/10 : Let's quickly count our 3 times tables, since 3 is the numerator, and stop once we get on or above the denominator 10: 3, 6, 9, 12. Unfortunately, we did not hit 10 so this fraction can't be simplified further, so we can now ask whether this equals 1/4. The answer is no since 3 is not equal to 1 and 10 is not equal to 4. So let's move onto the next one. 2/8: As 2 is the numerator, we count our 2 times tables until we reach or go over the denominator 8: 2, 4, 6, 8. This time the fraction can be simplified! We've landed on the denominator 8 and we added 2 each time so we can divide the top and the bottom of the fraction by 2. If we do this we get 1/4, since 2 divided by 2 is 1 and 8 divided by 2 is 4. Now we can see that this answer is equal to 1/4! I should let you know that there are other fractions in the list that equal 1/4! I'll leave the rest of this question up to you but now you should have all the skills neccessary to simplify fractions with ease! Best of luck!

Any example give would work
x = 1.5 and x = -0.33

Answered by Dean S.

Studies BEng Civil and Structural Engineering at Sheffield

For this question the FOIL method can be used. FOIL stands for first, outside, inside, and last, and is used to make sure each term is multiplied by each other term. Firstly, multiply the first terms of each bracket:
2x x 4x = 8x^{2}
Next multiply the outside terms of the brackets:
2x x 6 = 12x
Next multiply the inside terms of the brackets:
-2 x 4x = -8x
Next muliply the last terms of the two brackets:
-2 x 6 = -12
The result of each calculation should then put together:
8x^{2 }+ 12x - 8x - 12
Finally, the x terms can be simplified to get the final answer:
8x^{2} + 4x - 12

There should be at least as many simultaneous equations as there are unknown variables - or else you cannot get a numerical answer! Start by trying to eliminate one of the variables. You can multiply the equation by an integer to eliminate variables but remember to multiply both sides! Then subsitiute the value you have found back into one of the original equations. This will give you your answer.
Example:
4x+2y+z=11 (1)
3x+2y+2z=13 (2)
x+y+z=6 (3)
First, do (2)-(1), giving -x+z=2, and hence z=x+2
Then subsitute this into (3). This gives x+y+x+2=6, 2x+y=4 (4). If you double (4), you get 4x+2y=8 (5). Then do (1)-(5) to get z=3. We know z=x+2, so x=1. If we substitute both of these into (3), we find y=2. Thus this set of equations is solved.

So seeing as you are given the values for P, R and t, the first thing you need to do is substitute the letters for their given numbers into the equation: Q = (36) / ((3)*(4 - (-2)) Now expand out the brackets. Remember that a negative multiplied by a negative equals a positive. Picture an imaginary 1 before the -2. So, -1(-2) = -1*-2 = 2, Q = 36 / (3 * 2), Q = 36 / 6, Q = 6

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