24
Jun
2019
Leaving Cert Applied Maths Higher Level 1977
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Question 1 (i) A car starts from rest at $p$ and moves with constant acceleration $k$ metres/second$^2$. Three seconds later another car passes through $P$ travelling in the same direction with constant speed $u$ metres/second, where $u>3k$. Draw a velocity/time graph for the two cards, using the same axes and the same scales. (ii) Hence,... Read More
21
Jun
2019
Leaving Cert Applied Maths Higher Level 1976
Question 1 (a) Show that, if a particle is moving in a straight line with constant acceleration $k$ and initial speed $u$, the distance travelled in time $t$ is given by $s=ut+\frac{1}{2}kt^2$. [Video Solution] (b) Two points $a$ and $b$ are a distance $l$ apart. A particle starts from $a$ and moves towards $b$ in... Read More
16
Jun
2019
Leaving Cert Applied Maths Higher Level 1980-1992 Solutions
Leaving Cert Applied Maths Higher Level 1980 Solution (i) $0\vec{i}+\left(14-8\sqrt{2}\right)\vec{j}$, $\frac{7+4\sqrt{2}}{8}}$ hours (ii) 1.45 hours $\frac{1}{20} – \frac{T_1}{10W}$ (ii) $\frac{\sqrt{5}u^2}{4g}$ (ii) $\frac{W \sin\left(\alpha+\lambda\right)}{\cos \lambda\right)}$ (iii) $W \tan \left(\alpha+\lambda\right)}$ (iv) $W\sin\left(\alpha+\lambda\right)$ (b) $ \mu \sin \left( \alpha \right) \left( 1+e \right) $ $ x = \frac{2f}{k} $ $\frac{3l \pm \sqrt{5}l}{6}$ $1.7$ m, $\frac{\pi}{2}$ s, $0.1477$ s... Read More
30
Mar
2019
Leaving Cert Applied Maths Higher Level 1993-2000 Marking Schemes
Below are some Marking Schemes for the Leaving Cert Applied Maths Higher Level. These Marking Schemes are not on the SEC website. I was able to get 1999 and 2000 from the SEC. The Marking Schemes from 1993 to 1998 were made available from I believe from Ciaran O’Sullivan scanning in hard copies, so many... Read More
27
Jan
2019
Leaving Cert Applied Maths Higher Level 1975
Question 1 A particle falls freely under gravity from rest at a point $p$. After it has fallen for one second another particle is projected vertically downwards from $p$ with speed $14.7$ m/s. By considering the relative motion of the particles, or otherwise, find the time and distance from $p$ at which they collide. Show... Read More
7
Jan
2019
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
7
Jan
2019
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 $k$ throughout. During the race he passes four posts $a$, $b$, $c$, $d$ in a straight line such that $|ab| = |bc| = |cd| =... Read More
20
Dec
2018
Leaving Cert Applied Maths Higher Level 1973
Question 1 A cyclist has a maximum acceleration of $2$ m/s$^2$, a maximum speed of $15$ m/s and a maximum deceleration of $4$ m/s$^2$. The cyclist wishes to travel a distance $s$ from rest to rest in the shortest time. Find the time taken in the two cases (i) $s=105$ m and (ii) $s=54$ m.... Read More
10
Dec
2018
Leaving Cert Applied Maths Higher Level 1972
Question 1 A racing car covers a journey of $8.8$ km from rest to rest. It accelerates uniformly in the first minute to reach its maximum speed of $40$ 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.... Read More
6
Dec
2018
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