Applied Maths (H): No tricks and no novel complications

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Reaction to Leaving Certificate 2022 Applied Maths (Higher Level) by Aidan Roantree, Applied Maths teacher at The Institute of Education.

This was an extremely accessible paper. There were no cross over questions, no tricks and no novel complications.

Any students familiar with past paper questions, would recognise every part of every question.

No matter which five or six questions students had in mind to do, they would not have been disappointed.

Clearly, in this, the last year of the current style exam, they decided to go out with a whimper rather than a bang.

Like last year, students only had to answer five out of ten questions. Normally they must answer six out of ten.

Question 1 was on linear motion. The (a) part was a standard speed time graph and the (b) part concerned two moving particles. It was similar in style to previous years.

Question 2 was on relative velocity. The (a) part was an intercept question: better done by relative velocity, rather than by the t method. The (b) part involved crossing the river, a question type that has been very common of late. This one was a little more abstract than usual but was very doable.

Question 3 was on projectiles. The (a) part was a standard question about projection from the top of a cliff. The (b) part concerned the motion of a particle up an inclined plane. The final part about finding the greatest range could be tricky. However, it has been asked before so hopefully students should have been prepared.

Question 4 was probably the easiest dynamics question ever, The (a) part was a straight forward connected particles question, and then the (b) part was a completely standard wedge question.

Question 5 was on collisions. The (a) part was a standard single direct collision question. The (b) part was a standard oblique collisions question, and as so often recently, it focused on the angle of deflection.

Question 6 was on circular motion and simple harmonic motion. The (a) part was a slightly more abstract question on SHM than usual, but it was still very doable. The (b) part concerned vertical circular motion, and was similar to a number of other questions from past papers.

Question 7 was one of the nicest statistics questions in years. The (a) part was a standard horizontal rod against a vertical wall question, and the (b) part concerned jointed rods on the point of slipping, a question type that has been asked on numerous previous occasions.

Question 8 was on rigid body motion or moments of inertia. This year, the disc proof was examined in the (a) part. The (b) part was the standard question about angular velocity using the principle of the conservation of energy.

Question 9 was on hydro statics. The (a) part was a standard buoyancy question, while the (b) part once again involved using statistics on a floating suspended object.

Question 10 was on differential equations. The (a) part involved using integration to find velocity from acceleration and distance from velocity, like many times previously. The potential danger in part (b) was right at the beginning, in writing down the differential equation. However, the solution being given in the question should have provided a safety net. After this, the question was very standard.