20 Dec 2018

Leaving Cert Applied Maths Higher Level 1973

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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...
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10 Dec 2018

Leaving Cert Applied Maths Higher Level 1972

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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...
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6 Dec 2018

Project Maths: Hacking our way to a better PISA placing

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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...
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1 Dec 2018

Leaving Cert Applied Maths Higher Level 1971

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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...
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29 Nov 2018

Leaving Certificate Examination 1969 Honours Applied Mathematics

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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...
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28 Nov 2018

General Derivative Test Flow Chart

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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...
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28 Nov 2018

Leaving Certificate Examination 1968 Honours Applied Mathematics

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Question 1 Show how to find the centre of gravity of a non-rectangular parallelogram. A thin uniform square sheet of metal of area square inches weighs ounces. At the corners , , , weights of oz., oz., oz., and oz., respectively are placed. Locate the centre of gravity of the system. Question 2   Establish...
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27 Nov 2018

Leaving Certificate Examination 1967 Honours Applied Mathematics

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Question 1 A body is projected under gravity with initial velocity at an angle to the horizontal. Find in terms of , , (a) the maximum height attained, (b) the time required to reach that height, and (c) the distance it has travelled in a horizontal direction on reaching the maximum height. A man strikes...
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26 Nov 2018

Leaving Certificate Examination 1966 Honours Applied Mathematics

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Question 1 (a) Represent any two velocities and by a vector diagram, and illustrate the vectors and . (b) When the sun, S, is above the horizon, an aeroplane glides in for landing with the sun behind, moving with a speed of m.p.h. along a path sloping down from the horizontal, as in the diagram....
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