Overview of the Junior Cert Honours Maths Paper

Overview of the Junior Cert Honours Maths Paper Mr. Roche

Paper 1 Question 1: Arithmetic; Percentages, Profit and Loss, possible currency calculations and Income Tax/Tax Credits calculations. Speed, distance, time. Approximation/rounding off. Question 2: Sets and a test as to how much you know about your calculator. BEMDAS. More arithmetic. Question 3: Algebra. A bit of everything. (i) Solve an equation, (ii) write one thing in terms of another (iii) solve a quadratic equation (with formula). Indices. Word problem involving simultaneous equations. Question 4: More Algebra The emphasis here may be on factors and a word problem involving a quadratic equation. Question 5: More algebra, and the graph of a quadratic function and some questions based on the graph. Question 6: Inequalities and simultaneous equations. They also ask some questions on a given graph of a quadratic function. Other algebra as above.

Key skills on paper 1 • • Use Calculator/BEMDAS Percentages/interest Income tax Speed, distance, time Factors (4 types) Long division Solve equations (3 types) Word problems • • Sets Graph quadratic Questions on graph Changing formula subject Use quadratic formula Indices Approximation

Paper 2 Question 1: Area and Volume. They will definitely ask a question about the perimeter. The rest of the question will be based on Cones, cylinders and spheres. Question 2: Coordinate Geometry of the Line. You will be tested on you knowledge of and ability to use the (four) Coordinate Geometry Formula. 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. Question 4: Geometry. It is likely that in this question the will ask you to prove one of the last 5 theorems. Question 5: Trigonometry 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 ie Bar Charts, Pie Charts, Histograms, Mean, Median of a frequency table.

Key skills on paper 2 • • Use Area/volume formula (pg. 7) Co-ordinate geometry (5 formulae) Use Geometry rules, congruence Constructions Prove 10 theorems Trigonometry right angled (SOH CAH TOA, Pythagoras) Trigonometry non-right angled (Sine Rule, Area of triangle) Statistics (charts, mean, histogram, cumulative frequency)