Junior Certificate Examination 2011 Sample Paper Mathematics Page 13

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Question 8
(Suggested maximum time: 10 minutes)
Monica has a set of nine coloured plastic strips (long red, middle red, short red, etc.) as shown
below. The strips can be joined together by pins through small holes at their ends.
31 cm
25cm
Yellow
Red
13·5 cm
15·5 cm
7 cm
24cm
20cm
Blue
White
11 cm
17·25 cm
(a)
Is it possible to make an isosceles triangle using any three of the nine strips? ________
Explain your answer.
(b)
Monica would like to join four strips together to form a parallelogram. Explain why it is not
possible to do this.
(c)
The long yellow, long blue and short red strips are used to form a triangle. Monica thinks that
this might be a right angled triangle. Investigate if she is correct.
(d)
Monica uses the long blue and the long white strips to form the arms of a right angle. Find
the length of a strip that would be needed to complete this triangle. Give your answer correct
to two places of decimals.
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Junior Certificate 2011 – sample paper
Page 13 of 23
Project Maths, phase 1
Paper 2 – Higher Level

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