Mock Exam Paper A P1 (Old format) Ordinary Level
PRE-LEAVING CERTIFICATE EXAMINATION, 2011
MATHEMATICS – ORDINARY LEVEL
PAPER I (300 marks)
Attempt SIX QUESTIONS. (50 marks each)
Warning: Marks will be lost if all necessary work is not clearly shown.
Answers should include the appropriate units of measurement,
Q.1 (a) The speedometer of a bus shows a speed 5% greater than the actual speed the bus is
travelling. At what speed is the bus travelling if the speedometer shows 52km/hr.
(b) A tanker delivered heating oil to a hotel. Before the delivery the tanker had 11360 litres of oil and after the delivery it had 7160 litres.
Calculate the cost of the oil delivered if 1 liter costs 20.5 cent.
When VAT was added to the cost of the oil, the bill amounted to €1041.81.
Calculate the rate of VAT added.
(c) (i) The length and width of a rectangular playing field are in the ratio 9:5, respectively.
If the length of the field is 22.5m, find its width.
(ii) A sum of money was invested for 7 years at compound interest. If it amounted to €5000
at the end how much was invested? Give your answer correct to the nearest euro.
Q.2 (a) Find the solution set of
(b) Solve for x and y,
(c) Solve each of the following for p,
Q.3 (a) Given that
calculate the value of y when .
(b) If is a root of the equation , where .
(i) Write down the second root.
(ii) Find the value of b and c.
(iii) Hence, or otherwise, find the point p. Where p is the point of intersection
between the equation and the y-axis.
(c) (i) Write as a single fraction, where .
(ii) Hence, or otherwise, find the two solutions for x,
, where, .
Give your answers correct to two decimal places.
Q.4 (a) Let , where .
Plot z and on an Argand diagram.
(b) Given .
(i) Calculate .
(ii) Express in the form , where .
(c) a and b are real numbers such that:
- Find the value of a and b.
- Verify that is a root of the equation...