# Mock Exam Paper D P2 (Project Maths) Ordinary Level

Leaving Cert Examination 2014

Mathematics

(Projects Maths – Phase 3)

Paper II

Ordinary Level

Time hours

300 marks

 For Examiners use only Question Mark 1 2 3 4 5 6 7 8 Total

Instructions

There are two sections in this examination paper:

Section A Concept and skills 150 marks 6 questions

Section B Contexts and Applications 150 marks 2 questions

Answer all eight questions as follows:

Questions 1 to 5 and

either Question 6A or Question 6B

In section B, answer Question 7 and Question 8.

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 paper clearly with the question number and part.

The superintendent will give you a copy of the booklet of Formulae and Tables. You must return is at the end of the examination. You are not allowed to bring your won 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.

Answers should be given in simplest form, where relevant.

Write the mark and model of your calculator(s) here:

Section A Concepts and Skills 150 marks

Answer all six questions from this section.

Question 1 25 marks

A coin is tossed and a die is thrown. Write out the sample space showing all possible outcomes. For example, 3 H is one outcome representing 3 on the die and Head on the coin.

(ii) Find the probability of getting a Head and an odd number.

(iii) Find the probability of getting a Tail and a multiple of 3.

(iv) If the standard die was replaced with one containing 12 sides how many possible outcomes are now possible?

(v) Now find the probability of getting a Tail and a multiple of 3.

Question 2 25 marks

In a class of 45 students Three poets A, B, and C were given to a set of pupils to study for an exam.

27 pupils studied poet A,

21 pupils studied poet B,

22 pupils studied p...