Review of Leaving Cert Revision Days

Hi folks,

Would you mind filling out this questionnaire please? It will only take you a minute or two!

CLICK HERE

Many thanks,

Mr.Sweeney.

Number Systems

Have a look at the video below to figure out Rational and Irrational numbers!




Best of luck.

Mr.Sweeney

Injective, Surjective & Bijective

This may be of use to leaving certs when you are revising the functions!


 

Good luck. 

Mr.Sweeney.

Induction - Sample Solutions

Exam - Induction

Marking Scheme - Induction

Good luck with the study. Mr.Sweeney

Induction

Please look at the following material when revising for induction.

Induction 1

Read more on induction here.

Good luck.

Mr.Sweeney

5th Year Activities - Differentiation

1. http://www.purplemath.com/modules/slopgrph.htm

2. http://www.purplemath.com/modules/slopgrph2.htm

3. http://www.mathsisfun.com/calculus/derivatives-introduction.html

4. http://www.mathopolis.com/questions/q.php?id=6790&site=1&ref=/calculus/derivatives-introduction.html&qs=6790_6791_6792_6793_6794_6795_6796_6797_6798_6799

5. http://www.algebra-class.com/calculating-slope.html

6. The example from class!

7. Have a go!

8. Matching slopes and functions!

9. Unreal madness here.

10. Happy Christmas

Sample Papers - Leaving Cert

Ordinary Level Paper 1

OLP1

Ordinary Level Paper 2

OLP2

Higher Level Paper 1

HLP1

Higher Level Paper 2

HLP2

Problem Solving - Riddle

1.
My life is often a volume of grief, your help is needed to turn a new leaf. Stiff is my spine and my body is pale, but I'm always ready to tell a tale. What am I?

2.Brothers and sisters, I have none but this man's father is my father's son. 
Who am I looking at?

3.You are shown two doors - one leading to hell and the second one to heaven and only the door guards know what is behind the doors. One guard is always lying and the other is always telling the truth (of course, you don't know who is lying). You can ask only one guard one question. 
What question can get you to heaven?



4.
If you had a 5-liter bowl and a 3-liter bowl, and an unlimited access to water, how would you measure exactly 4 liters?



5.
If someone says "I always lie", are they telling the truth? Or are they lying?

Tricky Geometry Problem

Differentiation using first principles

There  is another tutorial available by clicking here.




Mr.Sweeney

Constructions

Find all leaving cert constructions here.

Mr.Sweeney

Limits and Continuity

Have a think about limits by reading this article.

You will find a mathematical definition of limits by clicking here.

This webpage explains how to solve simple limits using algebra.

Here are some limits which tend to infinity.


Have a look at this short video.

Good luck.

Mr.Sweeney

UNBELIEVABLE!!!

CLICK HERE FAST!

Tables

MR.SWEENEY

Polygons

Please click here.

Mr.Sweeney

Geometry - Congruent Triangles

Explore the concept of a congruent triangle by clicking here.

There is a simpler version of this exercise available by clicking here.

Here is a simple lesson on introducing congruent triangles



See below for a worked out example on how to prove 2 triangles are congruent





Click here to do a quick test!

Best of luck.

Mr.Sweeney.

The Trapezoidal Rule

Please find below a worked out past examination question concerning the trapezoidal rule!








This is a very complicated example for leaving cert higher level only.



Please investigate this topic further by completing the following two activities provided by the Project Maths Development Team; 

 1. Activity 1 

2. Activity 2 

There are further worked out exam questions available here and here.

 Good luck. 

 Mr.Sweeney.

Geometry 1

The word ‘geometry’ comes from the Greek

words ‘geo’, meaning earth, and ‘metria’, 

meaning measure.

Get some practice on the definitions by taking the quiz.

There is a slightly more difficult quiz available here.



This one here is aimed more at leaving cert students.

Click here for further practice.

There is an interactive game available here!


Good luck.

Mr.Sweeney.

Logic

Have a go at these!

1. Simple logic

2.Even more fun

Mr.Sweeney

Quadrilaterals

Complex Numbers Exam and Solutions

Exam

Marking Scheme