PISA 2012 Released Items
REVOLVING DOOR
A revolving door includes three wings which rotate within a circular-shaped space.
The inside diameter of this space is 2 metres (200 centimetres). The three door
wings divide the space into three equal sectors. The
plan below shows the door
wings in three different positions viewed from the top.
Translation Note: If the term for “wings” in the context of a revolving door is not
familiar to 15-year olds in your country, you may wish to introduce the term as for
example in the FRE source version: “Une porte à tambour est composée de trois
« ailes », appelées vantaux, qui tournent au sein d’un espace circulaire.”
Question 1: REVOLVING DOOR
PM995Q01 – 0 1 9
What is the size in degrees of the angle formed by two door wings?
Size of the angle: .................................. º
REVOLVING DOOR SCORING 1
QUESTION INTENT:
Description: Compute the central angle
of a sector of a circle
Mathematical content area: Space and
shape
Context: Scientific
Process: Employ
Full Credit
Code 1: 120
[accept the equivalent reflex angle: 240]
.
No Credit
Code 0: Other responses.
Exit
Entrance
200 cm
Wings
