# Mock exam paper A P2 Ordinary Level

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**PRE-JUNIOR CERTIFICATE EXAMINATION, 2011**

**MATHEMATICS – ORDINARY LEVEL**

**Paper II (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) Subtract 540*m* from 5360*m* and give your answer in *km*.

(b) A car leaves Wexford at 10:15 and arrives in Dublin at 12:45.

(i) How many hours and minutes did the journey take?

(ii) If she travelled at an average speed of 60 *km/hr* how far did she travel?

(iii) The return journey takes 25 minutes longer than the earlier journey.

If the car returns back in Wexford at 21:35 at what time did it leave?

(c) A rectangular lawn is surrounded by a path.

40*m*

20*m*

1*m*

The lawn is 40 *m* long and 20 *m* wide.

The path is 1 *m* wide.

(i) Calculate the area of the lawn.

(ii) Calculate the area of the path.

(iii) The path is covered with square paving slabs with sides of length 50 *cm*.

How many paving slabs are required to cover the path.

Q.2 (a) A disc has a diameter of 5 *cm*

5*cm*

Taking , calculate, in , the area of the disc.

(b) A Childs toy box has dimensions by by .

(i) Find the internal volume of the box, in .

(ii) The box is filled with wooden cubes of side 4*cm*. How many cubes will fit exactly into the toy box?

(iii) Calculate the surface area of the toy, in , box if it does not have a lid.

(c) Three tennis balls fit exactly into a cylindrical tube, as shown.

6*cm*

Each tennis ball has a diameter of 6*cm*. Taking to be .

(i) Find the volume of each tennis ball.

(ii) Find the height of the cylindrical tube.

(iii) Find the volume of the cylindrical tube.

Q.3 (a) Find the mean and mode of the numbers 4, 3, 2, 3...