Questions
Asked
Higher
This section contains 10 questions, which
usually follow the following format:
(a) 3/4 questions on Algebra,
Rules
for Algebra
(Q1 is always an inequality)
(b) 2 questions on Arithmetic.
(c) 1question on each of the following
(i) Logs indices,
(ii) volumes/area/
(iii) functions and relations,
(iv) Binary perations
(v) square roots, squares, reciprocals.
Must
know file
Section B
Q2 will be a question based on Volumes and
area it is usually divided into two parts
(a) 20 marks
(b) 30 marks.Much of this question
involves filling in formulae.
Q3 a question on Algebra expect factors,
quadratic equations, and use of the roots formula.
Q4 Statistics: Expect all of the following
mean, mode, histogram, Ogive, Inter-quartile range, Median.
Q5(i) Graph of a quadratic function(ii)
Composition of functions
Q6 Algebra ,Logs, Sets, This question
has varied in composition but nearly always includes solving
a quadratic equation.
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Higher
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 Maths
Paper 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.
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Questions
Asked
Higher
This consists of 10 questions, which follow
the following pattern.
(3-4) Questions on Geometry,
2 questions on coordinate geometry, 1 question
on trigonometry (Always 1x)
And one on each of the following,
Area, Indices, percentages and modern geometry.
It is essential that you attempt every question
in Section A,
Note an attempt in a geometry question can
be as little as marking in a new bit of information on the
given diagram, like for example adding an extra angle or
marking in equal sides.
Must
know file
Section
B
Q2 will be divided into two parts
(i) a question on money, %, compound interest,
(ii) manipulation of a formula.
Q3 (i) Proof of a theorem (30 marks)(usually
one which involves congruence)
(ii) (20) marks, Two "cuts " based on the theorem
in part (i)
Q4 (i) Theorem (30 marks). The most
likely theorem is one of the last 6 theorems (9 -14).
(ii) (20 marks) Two "cuts" based on the theorem
in part (i)
Q5 Coordinate Geometry. Normally 5
parts, know your formulae.
Q6 Trigonometry; usually divided into
3 parts marked 10,20,20, the right-angled triangle and the
sine Rule are most important.
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