Core 1 and 2 – Differentiation to find stationary points

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.

Core 1

June 2011 Question 3 – answer here

June 2012 Question 4 (much harder type) – answer here

Core 2

January 2008 Question 5a – answer here

Core 1 and 2 – Differentiation to find tangents and normals

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.

Core 1

January 2012 Question 4 – answer here

Core 2

January 2013 Question 5a and b – answer here

Why wait for me…?

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.

AQA Website

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

Core 1

Core 2

Statistics 1

MathedUp

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.

Jack Brown

Hegarty Maths

 

 

Core 1 – discriminant

Yesterday we looked at solving inequalities. This topic is often combined with use of the discriminant. The discriminant (D = b2 – 4ac) tells you how many roots a quadratic of the form ax2 + bx + c = 0 has.

if

D > 0, there are two distinct and real roots

D = 0, there is one repeated root

D < 0, there are no real roots

 

Watch the video below and then try the exam questions

January 2006 question 4 – answers here

June 2013 question 7 – answer here

Most question though are harder than this, take a look through some of these videos and then try the exam question below.

January 2013 Question 8 – answer here

Core 1 – Quadratic Inequalities

This topic is something that students often get wrong. The main thing to note is that it is really helpful to draw a graph. If the question is an inequality then it is likely that the answer will be an inequality.

These kind of questions almost always come up with the discriminant, which will be tomorrow’s lesson. For the moment just try the part questions below and we’ll look at whole questions next time.

January 2006 Question 8d – answer here

January 2008 Question 7c – answer here

Core 1 – Straight lines 2

Today we will look at more complex straight line questions. Have a go at the two questions below, watching the videos where you need to. The questions involve a knowledge of parallel and perpendicular lines as well as how to find intersections using simultaneous equations. New College students can get more help at our Facebook Support Group.

June 11 Question 1 – answer here

June 12 Question 2 – answer here

Core 1 – simultaneous equtions

 

Today we will look at solving simultaneous equations. There are two methods you should be familiar with. Have a go at the questions below and watch the video if needed.

New College students can get more help at our Facebook Support Group.

June 2007 Question 3 – Answer here

June 2008 Question 1 – answer here

This second video looks at a more complex example