Junior Cert
Higher Maths
Junior Cert Maths 2003:
The Exam consists of two papers with 6 questions on each paper. Students
must attempt all 6 questions. There are a total of 300 marks per paper.
Each question will be worth 50 marks and will be divided into 3 sections
(a), (b), (c). The sections will be marked as follows (a) 10 marks,
(b) 20marks (c) 20 marks.
The structure of the exam is similar to the Leaving Cert but unfortunately
for Junior Cert students there is no choice you must attempt all questions.
Junior Cert Higher MathsPaper 1:
According to the only official sample paper the layout is as follows.
Question 1: Arithmetic;
Percentages, Profit and Loss, possible currency calculations and Income
Tax and Tax Credits calculations. (Definitely) as they are on the course
for the first time in 2003.
Question 2: This question seems to involve Sets and
a test as to how much you know about your calculator. The will definitely
try to catch you out by mixing addition/subtraction and multiplication/division
in the same question.
Example . Try this using your calculator .Did you
get 15 as an answer? You will, if you do the following . The correct
answer is 3.
So why does the calculator give the wrong answer? The calculator is
programmed to always multiply and divide before it adds or subtracts
(Bomdas). So the calculator did exactly what you told it to do .You
should have done the following
. You will also be asked to give answers to a given number of decimal
places and to work with indices.
The calculator keys needed for this question are
Question 3:
Algebra. This question should be very similar to question 3 of the Pre
2003 Junior Cert Higher maths exam. A bit of everything. (i) Solve an
equation, (ii) write one thing in terms of another (iii) solve a quadratic
equation you will probably have to use the formula so solve the equation,
in the past they have included a change of variable problem as well.
Question 4:
More Algebra The emphasis here may be on factors and a word problem
involving a quadratic equation.
Question 5:
More algebra, may also include the graph of a quadratic function and
some questions based on the graph.
Question 6: Even More Algebra!
The sample paper seems to concentrate on inequalities and simultaneous
equations. They also ask some questions on a given graph of a quadratic
function (very similar questions were asked on the past leaving cert
in the mid 1990's)
Not on the Course: Sum or difference of two cubes or quadratic inequalities
or logs.
Junior Cert Higher Maths 2003  Paper 2.
Question 1: Area and Volume.
They will definitely ask a question about the perimeter (perimeter was
technically not on the old course) .The rest of the question will be
based on Cones, cylinders and spheres. It should be very similar to
what was asked on the old course (practice using pre 2003 exam papers).
Question 2: Coordinate Geometry of the Line.
You will be tested on you knowledge of and ability to use the (four)
Coordinate Geometry Formula. The syllabus for 2003 is slightly shorter
than the previous years not on the course for this year are (i) The
Coordinate Geometry formula for the area of a triangle ( ). (ii) To
find the image of a line by a translation. These should be kept in mind
if you are using pre 2003 papers for practice.
Question 3: Geometry.
This will be the main geometry Question
They will ask you to prove a theorem more than likely using congruent
triangles. You may also be asked to construct a triangle or a parallelogram.
The sample paper is a bit all over the place with regards to Geometry
but I have a feeling they may stick to a format similar to the old course.
Question 4: Geometry.
The sample paper did not indicate that two theorems would be examined
but it is likely that in this question the will ask you to prove one
of the last 5 theorems.
Question 5: Trigonometry
This is the first year that calculators will be allowed in the Junior
Cert .If the examiners take the same route as they did when calculators
were introduced for the Leaving Cert you can expect a lot of the question
to be based on a right angled triangle. Use of the Sine rule will also
be examined.
Question 6: Statistics.
This should be the easiest question on the paper .It should be very
similar to what was asked on the old course ie Bar Charts, Pie Charts,
Histograms, Mean, Median of a frequency table.
A Note on Geometry.
According to the syllabus you can be asked to prove any one of 9 specified
theorems. They also seem to require that the theorems be proved using
only material (and no other material) that is on the new Junior Cert
Syllabus.This is strange and most suspect from a pure maths point of
view.
You can also be asked to know what 16 theorems say and be able to answer
questions based on what the theorems say.
Paper 1
Essentials: Questions Asked
Higher
This section contains 10 questions, which usually follow the following
format:
(a) 3/4 questions on Algebra,
Rules for Algebra
