Again as yesterday Core 1 and Core 2 are the same except the Core 2 questions have more complicated powers of x. It’s worth noting again that we can’t cover everything in these posts. There are some questions on increasing and decreasing functions and some applications of stationary points that I’ve not covered here. You will need to look through past papers yourself to ensure you can do all the questions.
June 2011 Question 3 – answer here
June 2012 Question 4 (much harder type) – answer here
January 2008 Question 5a – answer here
Core 1 and Core 2 differentiation are very similar. The only real difference is that in Core 2, x can have negative and fractional powers. There are two videos and two questions below. One of each is a Core 1 questions and one of each is a Core 2 question.
January 2012 Question 4 – answer here
January 2013 Question 5a and b – answer here
This topic is fairly easy to start. The main thing you need to do is plug numbers into the formula. There may be some tricky algebraic manipulation that you will need to practise.
Below is a video answer to June 2013 Question 3. Take a look at it and then try another one yourself
Now try January 2013 Question 8 – answer here
In this blog are a lot of links to revision pages written by other people. That way you can revise any topic you like without waiting for me to write the next blog. I’m going to take a break tomorrow so the next blog will by Monday morning.
All the past papers are available on the AQA website. Just select
mathematics, A level, mathematics (6360), all available series
You can then find any paper from any year with the markschemes.
Exam Solutions Website
This is a great website that has revision videos for almost every topic. Links to the AS pages are below
This website has videos and practice questions for most topics of AS Maths. A good place to start is on his A level takeaway page.
FMSP Revision Videos
This page just has videos for Further Maths. Included in this is some Statistics 1 videos towards the bottom of the page.
Good YouTube channels
You can search these channels for any topics you are stuck on.
This final post on this topic will look at geometrical sequences. Again you need to know how to use the formulae in the formula book. One difference to arithmetic sequences is that you also have an infinite sum formula. This can be used when the common ratio r is between but not including -1 and 1.
Geometric questions can be combined with logs so come back to this topic again when you’ve had time to look at logs. As always if you need more help then just ask at our Facebook Support Group (link on the right)
June 2007 Question 2 – answer here
June 2010 Question 5 – answer here
If you are stuck then try this video for help
Sequences can also be written as recurrence relationships. Some of these are arithmetic and geometric but some are neither. The video below explains recurrence relationships and how they work. Once you are happy with it then try the exam questions.
January 2006 Question 5 – answer here
June 2013 Question 7 – answer here
Yesterday you looked at the basics of arithmetic sequences. Today we look at how these sequences can be written using sigma notation. The video below shows what sigma notation is and the exam questions below will be good practice.
Now try these exam questions. Any questions then just ask on our Facebook support group.
January 2010 Question 4 – answer here
June 2014 Question 8 – answer here
For arithmetic sequences and series you need to know how to use the formulae in the formula book.
A lot of questions will involve forming and solving simultaneous equations as shown in the video and the second exam question below.
January 2008 Question 2 – answer here
June 2006 Question 3 – answer here
In this second post on Trig we will look at sector area and arc length. You will need to be familiar with radians to fully understand this. As always try the questions, look at the videos if needed and ask at our Facebook Support Group if needed.
January 2013 Question 1 – answer here
June 2012 Question 5 – answer here
Today we will look at the sine and cosine rule and triangle area. These should be familiar to you from GCSE but you may find the questions aren’t asked so nicely. Don’t forget to have your calculator correctly in radians or degrees.
Try the questions below. If you are stuck then take a look at the video or if you are a New College Student you can also ask in our Facebook Support Group.
June 2006 Question 2 – answer here
January 2008 Question 3 – answer here