Numberphile

Root 2 - Numberphile Paper size and irrational numbers

Beautiful Card Trick - Numberphile 

Numbery Card Trick - Numberphile

 Pythagoras and Irrational Numbers from Vi Hart (also drawing snakes and stuff)

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Sample Answer Using Chomp

2013 Paper 2 Sample Paper Click on each image to see the question, read it carefully then close it and watch the solution, don't forget to make the video larger so that you can see the writing.

Q.1 (a)

Video of Solution

(b) 

Video of Solution

(c)

Video of Solution

(d)

Video of Solution

(e)

Video of Solution

3rd Year Junior Cert

Probably the most important advice is to really read the question carefully - there can be a lot of writing and students often misinterpret the question. Make sure that you clearly identify what the question is asking you to do.

Read (and heed!) the advice on pages (iii) to (v) of your exam papers. Also see the instructions for students e.g. on p.2 of your exam papers.

Below is an outline of topics on Paper 1 and 2 and how they relate to the chapters in your book.

The Maths course is divided into 5 Sections or Strands and the content is divided between the two papers as shown in the table. However, a question may require knowledge or skills from more than one strand. See below table for examples.

  

Paper 1	Topic	Chapter in book
	Number	1 Sets 2 Number Systems 9 Indices 10 Applied Arithmetic 11 Speed and Time
	Algebra	4 Patterns 5 Expressions 6 Factorising 13 Algebraic Fractions 14 Changing Formulae 15 Linear Equations 16 Inequalities 17 Quadratic Equations
	Functions	22 Graphing functions See also Chapters 30, 31 and 32 in Book 1
Paper 2	Topic	Chapter in book
	Probability	3 Counting and Probability
	Statistics	8 Statistics
	Applied Measure	12 Area and volume
	Geometry	7 Constructions 18 Geometry 19 Formal Proofs 20 Co-ordinate Geometry
	Trigonometry	21 Trigonometry

Probability on Paper 2 may require you to draw a Venn diagram. Algebra may be used in lots of questions for example Area or Trigonometry on Paper 2. These are just some examples – prepare to be flexible in your approach.

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Manipulating Formulae

In a formula like that for speed we can say that speed is the subject of the equation because the formula tells us what speed is. We can rearrange or manipulate the formula so that either distance or time is the subject of the equation. See image below.

Instead of asking you to make distance the subject of the equation you may be asked to express distance in terms of speed and time. In the Khan Academy videos they say solve for distance. These all mean the same thing.

These videos and exercises are quite short and are worth working your way through them. 

Remember:

1. Anything you do to one side of an equation you must do to the other.
2. Be able to identify how many terms an equation has.
3. When multiplying or dividing an equation each term must be multiplied or divided.
4. If the letter that you are looking for is in more than one term then you need to bring these terms together and then factorise.
5. In the video Sal says "cancelling" - What he means is "divides into once".

There are some more examples done as a pencast below.

Subject of Equation 1
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