# Mock exam paper A P1 Ordinary Level

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**PRE-JUNIOR CERTIFICATE EXAMINATION, 2011**

**MATHEMATICS – ORDINARY LEVEL**

**Paper I (300 marks)**

**Time: 2 hours**

Attempt **ALL** questions.

Each question carries 50 marks.

*Answers and supporting work should be written in the boxes provided.*

*Extra paper and graph paper can be obtained from the Superintendent.*

*The symbol indicates that supporting work must be shown to obtain full marks.*

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**Make and model of calculator used **

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For Superintendent / Examiner use only:

Q.1 (a) and

Fill in the elements of *a* and *b* onto the following Venn diagram.

*A*

*B*

(b) *U* is the universal set.

*Q*

*P*

*5.*

*. 9*

*. 2*

*8.*

*.4*

*1.*

*6.*

*.3*

*R*

*.7*

(i) List the elements of

(iii) List the elements of *P **\** R.*

(ii) List the elements of *Q’*, the complement of the set *Q*.

(c) *A* is the set of natural numbers from 1 to 36, inclusive

(i) List the elements of *A* that are multiples of 6.

(ii) List the elements of *A* that are multiples of 4.

(iii) Write down the lowest common multiple of 4 and 6.

(iv) Express 39 as a product of its prime factors.

Q.2 (a) If 6 litres of oil cost €6.48, find the cost of 9 litres.

(b) (i) Simplify , giving your answer in the form

(ii) By rounding each of these numbers to the nearest whole number, estimate the value of

(iii) Using a calculator, or otherwise, find the exact value of

(c) (i) List the following numbers in order, starting with the smallest:

(ii) Using a calculator, or otherwise, multiply by 80 and express your answer in the form , where .

(ii) Using a calculator, or otherwise, evaluate

Give your answer correct to one decimal place

Q.3 (a) John buys two large pizzas. Each pizza costs €14.50 each. How much change did he get

from a €50 euro note?

(b) (i) Mary’s weekly wage is €680. She pays income tax at the rate of 20%.

Her weekly tax credit is €55.

What is Mary’s take home pay at the end of the week?

Gross Pay | €680 |

Tax @ 20% | |

Tax Credit | €55 |

Tax Due | |

Take-home pay |

(ii) ...