Mock exam paper C P2 Higher Level
Pre-Junior Certificate Examination, 2013
Mathematics – Higher Level
(Project Maths – Phase I)
Paper II (300 marks)
Time: 2 hours
Attempt ALL questions.
There are fifteen questions on this examination paper.
Answer all questions.
Questions do not necessarily carry equal marks. To help you manage your time during this examination, a maximum time for each question is suggested. If you remain within these times, you should have about 10 minutes left to review your work.
Write your answers in the spaces provided in this booklet. There is space for extra work at the back of the booklet. You may also ask the superintendent for more paper. Label any extra work clearly with the question number and part.
The superintendent will give you a copy of the booklet of Formulae and Tables. You must return it at the end of the examination. You are not allowed to bring your own copy into the examination.
Marks will be lost if all necessary work is not clearly shown.
Answers should include the appropriate units of measurement, where relevant.
Write the make and model of your calculator(s) here:
Question 1 (10 minutes)
(a) Find the radius, to the nearest cm, of a sphere whose surface area is 314 , take
(b) (i) Water flows through a cylindrical pipe at a rate of 12cm per second. The diameter of the
pipe is 8cm. The water is poured into an empty rectangular tank at of length 60cm and width 15cm. What is the dept of the water after 1 minute? Give your answer to the nearest whole number and let
(ii) In a football ground, a semicircular tunnel leads from the dressing room to the football
pitch. If the space inside it is and the width of it is 12m, how far do the players have to walk to get to the pitch, give your answer to the nearest m?
Question 2 (10 Minutes)
A design for a new companies logo consists of a rectangle inscribed inside a circle which is in turn inside a circle. ...