24
Jun
2019
Leaving Cert Applied Maths Higher Level 1977 By Maths Grinds
//
Comments0
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 By Maths Grinds
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 By Maths Grinds
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 By Maths Grinds
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 By Maths Grinds
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. By Maths Grinds
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 By Maths Grinds
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 By Maths Grinds
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 By Maths Grinds
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 By Maths Grinds
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