PISA 2012 Released Items
Question 2: PENGUINS
PM921Q02 – 0 1 9
Jean wonders how the size of a penguin colony will change over the next few years.
In
order to determine this, he makes the following assumptions:
•
At the beginning of the year, the colony consists of 10 000 penguins (5 000
couples).
•
Each penguin couple raises one chick in the spring of each year.
•
By the end of the year 20% of all the penguins (adults and chicks) will die.
At the end of the first year, how many penguins (adults and chicks) are there in the
colony?
Number of penguins: .............................
UNIT PENGUINS SCORING 2
QUESTION INTENT:
Description: Understand a real situation to calculate
a concrete number based
on change including percentage increase/decrease
Mathematical content area: Quantity
Context: Scientific
Process: Formulate
Full Credit
Code 1: 12 000
No Credit
Code 0: Other responses.
Code 9: Missing.
PISA 2012 Released Items
Question 3: PENGUINS
PM921Q03
Jean assumes the colony will continue to grow in the following manner:
•
At the beginning
of each year, the colony consists of equal numbers of male and
female penguins who form couples.
•
Each penguin couple raises one chick in the spring of each year.
•
By the end of each year 20% of all the penguins (adults and chicks) will die.
•
One year old penguins will also raise chicks.
Based on the above assumptions, which of the following formulae
describes the total
number of penguins,
P
, after 7 years?
A.
P
= 10 000 x (1.5 x 0.2)
7
B.
P
= 10 000 x (1.5 x 0.8)
7
C.
P
= 10 000 x (1.2 x 0.2)
7
D.
P
= 10 000 x (1.2 x 0.8)
7
