DICNHS PISA 2025 PRE-TEST SET A

Quiz by DiCNHS Math Dept.

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Q 1/15
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The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12 m.
Calculate the area of the attic floor ABCD.
The area of the attic floor ABCD = ______________ m²
29
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15 questions

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Q1
The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12 m.
Calculate the area of the attic floor ABCD.
The area of the attic floor ABCD = ______________ m²
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120s
Q2
Calculate the length of EF, one of the horizontal edges of the block.
The length of EF = ____________ m
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120s
Q3
Alex drew the following pattern of red and blue triangles.
The first four rows of the pattern are shown below.
What percentage of the triangles in the first four rows of Alex's pattern are blue?
37.5%
50.0%
62.5%
60.0%
120s
Q4
Alex drew the following pattern of red and blue triangles.
The first four rows of the pattern are shown below.
If Alex were to extend the pattern to a fifth row, what would be the percentage of blue triangles in all five rows of the pattern?
40.0%
66.7%
50.0%
60.0%
120s
Q5
Complete the table:
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120s
Q6
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120s
Q7
Since 1980 the average height of 20-year-old females has increased by 2.3 cm, to 170.6 cm. What was the average height of a 20-year-old female in 1980? Express your answer in cm.
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120s
Q8
According to this graph, on average, during which period in their life are females taller than males of the same age?
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Sorting
120s
Q9
What is the approximate distance from the starting line to the beginning of the longest straight section of the track?
2.3 km
2.6 km
1.5 km
0.5 km
120s
Q10
Where was the lowest speed recorded during the second lap?
at the starting line
at about 1.3 km
halfway around the track
at about 0.8 km
120s
Q11
What can you say about the speed of the car between the 2.6 km and 2.8 km marks?
The speed of the car is decreasing.
The speed of the car is increasing.
The speed of the car cannot be determined from the graph.
The speed of the car remains constant.
120s
Q12
Circle the one figure below that fits the following description.
Triangle PQR is a right triangle with right angle at R. The line RQ is less than the line PR. M is the midpoint of the line PQ and N is the midpoint of the line QR. S is a point inside the triangle. The line MN is greater than the line MS.
120s
Q13
In Mei Lin’s school, her science teacher gives tests that are marked out of 100. Mei Lin has an average of 60 marks on her first four Science tests. On the fifth test she got 80 marks. What is the average of Mei Lin’s marks in Science after all five tests?
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120s
Q14
How likely is it that Sue will win a prize?
Not very likely
Certain
Very likely
Impossible
About 50% likely
120s
Q15
A documentary was broadcast about earthquakes and how often earthquakes occur. It included a discussion about the predictability of earthquakes. A geologist stated: “In the next twenty years, the chance that an earthquake will occur in Zed City is two out of three”. Which of the following best reflects the meaning of the geologist’s statement?
$\frac{2}{3}$ is more than $\frac{1}{2}$ , so you can be sure there will be an earthquake in Zed City at some time during the next 20 years.
You cannot tell what will happen, because nobody can be sure when an earthquake will occur.
The likelihood that there will be an earthquake in Zed City at some time during the next 20 years is higher than the likelihood of no earthquake.
$\frac{2}{3}\times20=13.3$ , so between 13 and 14 years from now there will be an earthquake in Zed City.
120s