GARAGE SCORING 2 QUESTION INTENT:
Description: Interpret a plan and calculate the area of a rectangle using the
Pythagorean theorem or measurement
Mathematical content area: Space and shape
Context: Occupational
Process: Employ
Full Credit Code 21: Any value from 31 to 33, either showing no working at all or supported by
working that shows the use of the Pythagorean theorem (or including
elements indicating that this method was used).
[Units (m 2 ) not required]. •
12
√
7.25 m
2
•
12 × 2.69 = 32.28 m
2
•
32.4 m
2
Partial Credit Code 11: Working shows correct use of the Pythagorean theorem but makes a
calculation error or uses incorrect length or does not double roof area.
•
2.5
2
+ 1
2
= 6, 12 × √6 = 29.39
[correct use of Pythagoras theorem with calculation error] •
2
2
+ 1
2
= 5, 2 x 6 x √5 = 26.8 m
2
[incorrect length used] •
6 × 2.6 = 15.6
[Did not double roof area.] Code 12: Working does not show use of Pythagorean theorem but uses reasonable
value for width of roof (for example, any value from 2.6 to 3) and completes
rest of calculation correctly.
•
2.75 × 12 = 33
•
3 × 6 × 2 = 36
•
12 × 2.6 = 31.2
No Credit Code 00: Other responses.
•
2.5 × 12 = 30
[Estimate of width of roof lies outside the acceptable range which is from 2.6 to 3.] •
3.5 × 6 × 2 = 42
[Estimate of width of roof lies outside the acceptable range which is from 2.6 to 3.] Code 99: Missing.
PISA 2012 Released Items
SELLING NEWSPAPERS
In Zedland there are two newspapers that try to recruit sellers. The posters below
show how they pay their sellers.
