23Feb2020

Calculators, Help or Hindrance to Mathematical Education?

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When I was a JC student (Irish middle school) we were not allowed to use a calculator in class or the exam but then the calculator was introduced for LC students (senior high school). One thing that perplexed us students at the time was this, why were we allowed to use the calculator “next year”...
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15Feb2020

The “New Standard” in Science Education

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In 2019 the two tier exam system for JC  Science (Junior Cert “Middle School” Science Exam) in Ireland was replaced by a common level. So, instead of having students choose which level they want to take, i.e ordinary or higher level they now have one level to take, common level. A teacher I work with...
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30Aug2019

Leaving Cert Applied Maths Higher Level 1982

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[CLICK HERE FOR SOLUTIONS] Question 1 a) A car passes a point on a straight road at a constant speed of m/s. At the same time another car starts from rest at with uniform acceleration m/s. i) When and how far from with overtake ? ii) If ceases to accelerate on overtaking, what time elapses...
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29Aug2019

Leaving Cert Applied Maths Higher Level 1981

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[CLICK HERE FOR SOLUTIONS] Question 1 i) A body starts from rest at , travels in a straight line and then comes to rest at which is km from . The time taken is seconds. For the first seconds it has uniform acceleration . It then travels at constant speed and is finally brought to...
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2Aug2019

Leaving Cert Applied Maths Higher Level 1980

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[CLICK HERE FOR SOLUTIONS] Question 1 A boat has to travel by the shortest route to the point km and then return immediately to its starting point at the origin. The velocity of the water is km/hour and the boat has a speed of km/hour in still water. If is the velocity of the boat...
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31Jul2019

Leaving Cert Applied Maths Higher Level 1979

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[Click Here For Solutions] Question 1 i) How may a velocity-time graph be used to find the distance travelled in a given time? ii) An athlete runs m in seconds. Starting from rest, he accelerates uniformly to a speed of m/s. and then continues at that speed. Calculate the acceleration. iii) A body starting from...
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3Jul2019

Leaving Cert Applied Maths Higher Level 1978

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[Click Here For Solutions] Question 1 A driver starts from rest at and travels with a uniform acceleration of m/s for seconds. He continues with uniform velocity for seconds, and then decelerates uniformly to rest at   in a further seconds. Express the distance in terms of and . Another driver can accelerate at m/s...
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26Jun2019

Adventure Rooms Dublin

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So, myself and a bunch of teachers had a go of the Adventure Room in Dublin, the 5 of us attempted “The World Trip” room. We have heard of these escape rooms before and we thought it sounded rather interesting. Basically I would describe it a sort of Crystal Maze although much more interesting and...
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24Jun2019

Leaving Cert Applied Maths Higher Level 1977

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[Click Here For Solutions] Question 1 (i) A car starts from rest at and moves with constant acceleration metres/second. Three seconds later another car passes through travelling in the same direction with constant speed metres/second, where . Draw a velocity/time graph for the two cards, using the same axes and the same scales. (ii) Hence,...
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21Jun2019

Leaving Cert Applied Maths Higher Level 1976

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[Click Here For Solutions] Question 1 (a) Show that, if a particle is moving in a straight line with constant acceleration and initial speed , the distance travalled in time is given by . (b) Two points and are a distance apart. A particle starts from and moves towards in a straight line with initial...
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