# Mock Exam Paper C P1 (Project Maths) Ordinary Level Marking Scheme

Leaving Cert Examination 2013

**Mathematics**

**(Projects Maths – Phase 2)**

Paper I

Ordinary Level

Time hours

300 marks

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**Model Solutions – Paper 1**

Note the model solutions for each question are not intended to be exhaustive – there may be other correct solutions.

**Instructions**

There are **three** sections in this examination paper:

Section A Concept and skills 100 marks 4 questions

Section B Contexts and Applications 100 marks 2 questions

Section C Functions and Graphs (old syllabus) 100 marks 2 question

Answer questions as follows:

In section A, answer **all four** questions.

In section B, answer **both** Question 6 **and** Question 7

In section C, answer **any two** of the three questions

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 100 marks **

Answer **all four** questions from this section.

**Question 1 25 marks**

(a) Explain what a *rational number* is

A rational number is any number that can be made by dividing one number by another.

(b) Explain what an *irrational number* is

An irrational number is a real number that cannot be expressed as a rational number.

Or

A real number that cannot be made by dividing one number by another.

(c) For each of the numbers below say whether they are *rational* or *irrational*:

is Rational

is Irrational

is Rational

is Irrati...