Mock exam paper D Paper 2
Pre-Junior Certificate Examination, 2014
Mathematics – Higher Level
(Project Maths – Phase 2)
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 15 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)
- Find the area of the upwards facing arrow in the figure below.
(b)The diagram below shows a pearl necklace. As you can see, each pearl touches the next.
- A piece of string holds the individual pearls in place. There is an extra 2cm of string at each end to allow for the clasp.
- A total of 51 pearls are used for the necklace and the radius of each pearl is 3mm.
- Calculate the volume of one pearl correct to 2 decimal places.
(ii)Calculate the length of the piece of string holding the pearls together.
(iii)A larger necklace was made using the same size pearls. Calculate the number of pearls used if the total volume is 678.84cm3.
Question 2 ...