Translation Note: In this unit please retain metric units throughout

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PISA 2012 items for release ENGLISH

“La superficie (l’aire) totale de l’appartement”. Living room Terrace Bedroom Bathroom Kitchen
APARTMENT PURCHASE SCORING 1
Full Credit

Translation Note: In this unit please retain metric units throughout.
Translation Note: Translate the term “real estate agency” into local terminology for
businesses that sell houses.
Question 1: APARTMENT PURCHASE
PM00FQ01 – 0 1 9

To estimate the total floor area of the apartment (including the terrace and the walls),
you can measure the size of each room, calculate the area of each one and add all
the areas together.
However, there is a more efficient method to estimate the total floor area where you
only need to measure 4 lengths. Mark on the plan above the
four
lengths that are
needed to estimate the total floor area of the apartment.
Translation Note: In some languages the term used for “area” varies according to the
context. As this unit focuses on the areas of rooms, you may choose to use in the first
instance here both terms with one between parentheses as in the FRE source version:
“La superficie (l’aire) totale de l’appartement”.
Living room
Terrace
Bedroom
Bathroom
Kitchen
Scale:
1 cm represents 1 m

PISA 2012 Released Items
APARTMENT PURCHASE SCORING 1
QUESTION INTENT:
Description: Use spatial reasoning to show on a plan (or by some other
method) the minimum number of side lengths needed to determine floor area
Mathematical content area: Space and shape
Context: Personal
Process: Formulate
Full Credit
Code 1: Has indicated the four dimensions needed to estimate the floor area of the
apartment on the plan. There are 9 possible solutions as shown in the
diagrams below.
•
A = (9.7m x 8.8m) – (2m x 4.4m), A = 76.56m
2
[Clearly used only 4 lengths to
measure and calculate required area.]
No Credit
Code 0: Other responses.
Code 9: Missing.

PISA 2012 Released Items
ICE-CREAM SHOP
This is the floor plan for Mari’s Ice-cream Shop. She is renovating the shop.
The service area is surrounded by the serving counter.
Note: Each square on the grid represents 0.5 metres
×
0.5 metres.

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