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

Leaving Cert Examination 2013

**Mathematics**

**(Projects Maths – Phase 2)**

Paper I

Higher 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 125 marks 4 questions

Section B Contexts and Applications 125 marks 2 questions

Section C Functions and Graphs (old syllabus) 50 marks 2 questions

Answer all 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 125 marks **

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

**Question 1 25 marks**

(a) The specification for a new rectangular car park states the length *x* metres is to be 5 *m* more than the breadth. The perimeter of the car park is to be greater than 32*m*.

Form a linear inequality in *x* to represent this information.

Perimeter

(b) The area of the car park is to be less than 104 . Form a quadratic inequality in terms of *x* to represent this.

Area

(c) By solving the inequalities, determine the set of possible values of *x*.

** ** AND

and

** ** and

Therefore,

**Question 2 25 marks**

(a) Use De Moivre’s theorem to find the three roots of the equation

...