Mock Exam Paper D P1 (Project Maths) Foundation Level Marking Scheme

Leaving Cert Examination 2014

Mathematics

(Projects Maths – Phase 3)

Paper I

Foundation Level

Time hours

300 marks

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 two sections in this examination paper:

Section A Concept and skills 200 marks 8 questions

Section B Contexts and Applications 100 marks 2 questions

Answer all ten 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 2000 marks

Answer all eight questions from this section.

Question 1 25 marks

From the numbers 1, 3, 8, 9, 10 write down

(a) (i) a prime number 3

(ii) a multiple of 5 10

(iii) two square numbers 1, 9

(iv) two factors of 32 1, 8

(b) If and , which one of the following has the greatest value?

, , , , or

Explain your answer.

(c) If the number is written out in full, how many zeros follow the 4?

13 zeros

Question 2 25 marks

(a) Over a six month period a colony of rabbits increases in number by 25% and then by a further 30%. If there were originally 200 rabbits in the colony how many were there at the end?

rabbits

(b) A man borrowed €40,000 at 4% per annum compound interest. He agreed to repay €8,000 at the end of the first year, €9,000 at the end of the second year and to ...

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