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.

_

Indices for 2nd Year

Make sure you understand the three rules for indices or powers. The Poweroint and a Summary can be downloaded below. The summary includes reciprocals and scientific notation. For the summer exam you should be able to do these when the base number is represented by a letter.

Be careful with powers of negative numbers. Learn these two examples - this is the way your calculator works.

Orders of Magnitude

There is a famous video which shows very large and very small objects called "Powers of 10", you can see a short version here or the original here.

To find the order of magnitude between two numbers follow these steps

• Both numbers must be written in scientific notation.
• Round off the first part to either 1 or 10, whichever it is closer to.
• Tidy up to just powers of 10.
• Subtract the smaller power from the bigger power - this is your answer (subtract the powers not the numbers).

If there is a very big difference between two numbers then normal rounding off is not very useful. The order of magnitude gives us a rough comparison. For example if the order of magnitude is 2 then one number is about 10² or 100 times bigger than the other. If the order of magnitude is 6 then one number is about 10⁶ or a million times bigger than the other.

Click the link for the PowerPoint used in class, you can view it on-line without any animations or download it to see the animations (it looks better!). Summary for Second Year.

_

Integers Revision

Don't worry if you don't get these all right the first time - with practise you will! However they are important. If you make any mistakes try to figure out where you are going wrong. Don't worry too much about Q.1.

A copy of the worksheet is here and the solutions are here. Correction second last one in Q.6 should be -22.


_

Geometry Word Search Solution

Percentages Revision Notes and Questions

There are some notes on percentages here they cover:-
1. Finding a Percentage of a number.
2. Find one number as a percentage of another number.
3. Solving problems when you are not given 100%.

Revision questions. Click here to see the solutions to the revision worksheet on percentages.

_

Constructions - Introduction

When you see the word "construction" in a question this means that 

• you should draw an accurate and neat diagram
• use a compass, ruler etc
• use a sharp pencil (a normal pencil e.g. HB)
• show "construction marks" e.g. if you drew arcs with a compass you should not rub these out when you are finished.

You will find step by step instructions for all the first year constructions here.


Second years need to be able to construct the triangles given - SSS, SAS, ASA or RHS
See chapter 25

Doing lots of constructions helps you when you move onto tackling problems in geometry.

_

Statistics Solutions

The answers to the stem and leaf worksheet is here and the answers to the pie chart worksheet is here.



_

1st Year Constructions

Below are excellent demonstrations on most of the constructions - well worth a look. Just concentrate on being able to do each construction. Each pagealso has a lot of extra information explaining why the constructions work but it is probably a bit advanced for first year.

The links to individual pages are listed below.

• Bisect an Angle Active Maths 1 p.184
• Perpendicular Bisector a Line Segment Active Maths 1 p.186
• Perpendicular to a line through a point on the line using a compass. Active Maths 1 p.188
• Parallel to a line through a given point using a compass. Active Maths 1 p.191
• Line segment of a given length. This construction is mainly used to copy a line segment without measuring it. Active Maths 1 p.195-6
• Construct a given angle - this is just using your protractor!
• Divide a Line Segment into Three or More Equal Segments there is an animation here. The video below shows you how to do this construction. The original PowerPoint is much clearer and can be downloaded here (requires PowerPoint 2010 or later). Active Maths 1 p.194

• This video shows you a quick way to draw parallel lines using a set square. 

Parallel Line and Set Square by Green Maths

The first five animations come from this website

_