27Jan2019

### Leaving Cert Applied Maths Higher Level 1975

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Question 1 A particle falls freely under gravity from rest at a point . After it has fallen for one second another particle is projected vertically downwards from with speed m/s. By considering the relative motion of the particles, or otherwise, find the time and distance from at which they collide. Show the motion of... Read More

7Jan2019

### What Does “This is a hard course” Really Mean.

I have given many grinds to third level students over the years and there is a particular warning given to students in certain courses, that is, “This is a hard course”. Now, I do not doubt that that may be true but I have observed some interesting data around when this is said. Namely: This... Read More

7Jan2019

### Leaving Cert Applied Maths Higher Level 1974

Special Thanks: A copy of this Leaving Cert Applied Maths Higher Level 1974 exam was kindly provided by Noel Cunningham. Question 1 A sprinter runs a race with constant acceleration throughout. During the race he passes four posts , , , in a straight line such that m. If the sprinter takes seconds to run... Read More

20Dec2018

### Leaving Cert Applied Maths Higher Level 1973

Question 1 A cyclist has a maximum acceleration of m/s, a maximum speed of m/s and a maximum deceleration of m/s. The cyclsit wishes to travel a distance from rest to rest in the shorest time. Find the time taken in the two cases (i) m and (ii) m. Draw a rough velocity-time graph for... Read More

10Dec2018

### Leaving Cert Applied Maths Higher Level 1972

Question 1 A racing car covers a journey of km from rest to rest. It accelerates uniformly in the first minute to reach its maximum speed of m/s, it holds this speed for a certain time and then slows uniformly to rest with a retardation of magnitude three times that of the acceleration. i) Draw... Read More

6Dec2018

### Project Maths: Hacking our way to a better PISA placing

I’ll put my cards on the table from the start, I’m not a fan of the Project Maths Syllabus (the new Mathematics Syllabus in Ireland). There have been many voices discussing the advantages and disadvantages of the new Syllabus. And I don’t intend to add my voice to that chorus as what I have to... Read More

1Dec2018

### Leaving Cert Applied Maths Higher Level 1971

Special Thanks: A copy of this Leaving Cert Applied Maths Higher Level 1971 exam was kindly provided by Noel Cunningham. Question 1 a) Explain how a graph of velocity plotted against time can be used to calculate acceleration and distance travelled, with particular reference to motion with constant acceleration. [Video Solution] b) A pigeon in... Read More

30Nov2018

### Leaving Certificate Examination 1970 Honours Applied Mathematics

Question 1 A bullet of mass is fired with speed into a fixed block of wood and is brought to rest in a distance . Find the resistance to motion assuming it to be constant. Another bullet also of mass is then fired with speed into another fixed block of thickness , which offers the... Read More

29Nov2018

### Leaving Certificate Examination 1969 Honours Applied Mathematics

Question 1 State the principle of the conservation of momentum. A car weighing tons and moving at m.p.h. along a main road collides with a lorry of weight tons which emerges at m.p.h. from a crossroad at right angles to the main road. If the two vehicles lock, what will be their velocity after the... Read More

28Nov2018

### General Derivative Test Flow Chart

I was teaching my students today how one could use higher derivates to determine the shape of a curve at a particular point. The problem that really can be confusing is the case when I felt that a flow chart with pictures would be the best way to represent the process for deciding... Read More