PISA 2012 Released Items
No Credit Code 0: Other responses.
Code 9: Missing.
Question 2: DVD RENTAL PM977Q02 – 00 11 12 21 22 23 24 99 What is the minimum number of DVDs a member needs to rent so as to cover the
cost of the membership fee? Show your work.
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Number of DVDs: ..................................
DVD RENTAL SCORING 2 QUESTION INTENT:
Description: Calculate and compare numbers in an everyday situation
Mathematical content area: Quantity
Context: Personal
Process: Formulate
Full Credit Code 21: 15.
[Algebraic solution with correct reasoning]. •
3.20
x = 2.50
x + 10
0.70
x =10
x =10 / 0.70 = 14.2 approximately
but whole number solution is required: 15 DVDs
•
3.20
x > 2.50
x + 10
[Same steps as previous solution but worked as an inequality]. Code 22: 15.
[Arithmetical solution with correct reasoning] .
•
For a single DVD, a member saves 0.70 zeds. Because a member has already
paid 10 zeds at the beginning, they should at least save this amount for the
membership to be worthwhile. 10 / 0.70 = 14.2... So 15 DVDs.
Code 23: 15.
[Solve correctly using systematic trial and error, where student chooses a number and finds the fee for members and non-members, and uses this to locate the correct number (15) for which a member pays less than a non-member]. •
10 DVDs = 32 zeds non-members and 25 zeds + 10 zeds = 35 zeds for
members.
Therefore try a higher number than 10. 15 DVDs is 54 zeds for non-members
and 37.50 + 10 = 47.50 zeds for members.
Therefore try a smaller value: 14 DVDs = 44.80 zeds for non-members and 35
PISA 2012 Released Items
+10 = 45 zeds for members.
Therefore 15 DVDs is the answer.
Code 24: 15. With other correct reasoning.
Partial Credit Code 11: 15. No reasoning or working.
Code 12: Correct calculation but with incorrect rounding or no rounding to take into
account context.
•
14
•
14.2
•
14.3
•
14.28 …
No Credit Code 00: Other responses.
Code 99: Missing.
PISA 2012 Released Items
CABLE TELEVISION
The table below shows data about household ownership of
televisions (TVs) for five countries.
It also shows the percentage of those households that own
TVs and also subscribe to cable TV.
