CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
UNTUK LEBIH JELASNYA BISA DOWNLOAD FILE PDF DISINI
PISA-BASED TEST FOR SCHOOLS SAMPLE TEST ITEMS
The OECD released a selection of sample test items from the assessment in an interactive, online
format. The sample test items include questions at each proficiency level for each testing domain
(reading, mathematics and science). These items were not used in the actual assessment, but they
were used in the pilot of the assessment. This document contains the items used to populate the
sample test items website, which allows users to answer these PISA-based Test for Schools questions,
discover their level of difficulty, and the concepts being tested.
READING
2
QUESTION LEVEL 1: FREE
FREE! BUT AT WHAT PRICE?
Imagine you are in a shop and you are offered a choice of two gift vouchers. Which one
would you go for? Try to decide quickly!
A £10 gift voucher for FREE!
A £20 gift voucher for £7
If your first instinct is the same as absolutely everyone in a study carried out by Shampan'er
and Ariely in 2006, you'll take the first option, the free option. Economically, though, this
doesn't make any sense. When you look at it you can see that the £20 gift voucher is
actually better value: you really get a £13 gift voucher for free. However, this is camouflaged
by the way the offers are worded. The word “free” just shakes all rationality out of us.
Now compare these two offers and decide which you'd prefer:
A £10 gift voucher for £1
A £20 gift voucher for £8
Now if you're like the majority of people (64%) in Shampan'er and Ariely's study you'll go for
the £20 gift voucher.
Notice that this time the price of each gift certificate has only been increased by £1. The £10
gift voucher has gone from £0 to £1 and the £20 gift voucher has gone from £7 to £8. Yet
without the word 'free', most people suddenly realise that the £20 deal is superior, and
decide to pay out for a better return.
So be aware of the seductive power that 'free' holds over your mind and you might decide
you’d rather pay the price
QUESTION
According to the text, what effect does the word “free” have on consumers’ ability to make
decisions?
A It prevents them from making decisions.
B It slows down their decision-making.
C It makes their decisions more thoughtful.
D It makes their decisions less thoughtful.
READING
3
PRINT READING QUESTION (LEVEL 1)
THE CORRECT ANSWER IS:
(D) – IT MAKES THEIR DECISIONS LESS THOUGHTFUL.
QUESTION LEVEL
Students at Proficiency Level 1 are capable of locating pieces of explicitly stated information that
are rather prominent in the text, recognising a main idea in a text about a familiar topic, and
recognising the connection between information in such a text and their everyday experience.
Typically the required information in texts at this level is prominent and there is little, if any,
competing information. The reader is explicitly directed to consider relevant factors in the task
and in the text.
NATURE OF THE TASK
Draw inferences to identify the main idea in an exposition
The situation is personal. The question belongs to the exposition text type category because it is
the type of text in which the information is presented as composite concepts or mental
constructs, or those elements into which concepts or mental constructs can be analysed.
READING ASPECT
The aspect is integrate and interpret – form a broad understanding because the individual has
to focus on relationships within the whole text.
SCORING
Full credit: D. It makes their decisions less thoughtful.
No credit: Other or missing.
READING
4
QUESTION LEVEL 2: INDIAN MYSTIC
Indian Mystic Claims Not to Eat for 70 Years
By Benamin Radford, LiveScience
An 82-year-old man in India is claiming to have not had anything to eat or drink since 1940 — and
doctors from the Indian military are allegedly studying him to learn his secret.
The man, Prahlad Jani, is being observed in a Gujarat hospital. Jani claims to be a breatharian —
someone who does not need to eat or drink, because he draws nourishment from the air and from
meditation.
As remarkable as his story is, Jani is not the first, nor the only, person to claim such a supernatural
power. The claim that people can live without food or water is called inedia, and is actually somewhat
of a common claim among religious fakirs of India. Unfortunately, none of the cases have withstood
scientific scrutiny. The human body needs both food and water to function; it's as simple as that.
It's easy for anyone to claim that he or she has not had anything to eat or drink for the past few weeks
or months (or years). But unless the person has been carefully and continuously watched during that
time, it's impossible to prove the assertion.
Several people who have claimed to survive without food or water were later caught eating and
drinking. It can take only a few seconds to eat something, and other than in specific areas such as
prisons, conducting a close around-the-clock surveillance on a person is not easy. Often the person
will ask for privacy to sleep or go to the bathroom (which is suspicious in its own right) — and then
snack surreptitiously. One well-known breatharian advocate in the 1980s, a man named Wiley
Brooks, claimed he did not eat yet was caught consuming junk food.
This is not the first time that Jani has made this claim. He was examined in 2003 for about a week,
during which time, he apparently did not eat or exercise — but he did lose weight. If Jani's abilities are
real, it seems odd that he would lose weight during the time that his food intake was being monitored.
If he truly gets all the sustenance he needs from air and meditation, there's no reason he would lose
weight when he doesn't eat.
Reports claim that Prahlad Jani "has now spent six days without food or water under strict
observation and doctors say his body has not yet shown any adverse effects from hunger or
dehydration." Assuming the claim is true — and it's not clear just how strict the observation is —
Jani's inedia so far remains unproven. If he really doesn't need food or water, he should be under
close observation for months or years to prove it. Given that he claims not to have consumed
anything since World War II, this shouldn't be a problem.
QUESTION
What is the author’s attitude towards the idea that people can survive without food and
water? Give a reason for your answer by using information from the article.
Type your answer here:
READING
5
PRINT READING QUESTION (LEVEL 2)
THE CORRECT ANSWER:
REFERS TO THE IDEA THAT THE AUTHOR DOES NOT
BELIEVE IN INEDIA AND PROVIDES EVIDENCE TO
SUPPORT THIS.
QUESTION LEVEL
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
Students at Proficiency Level 2 are capable of tasks that require the reader to locate one or more
pieces of information, which might need to be inferred and might need to meet several
conditions. Other tasks at this level require recognising the main idea in a text, understanding
relationships, or construing meaning within a limited part of the text when the information is not
prominent and the reader must make low-level inferences. Tasks at this level may involve
comparisons or contrasts based on a single feature in the text. Typical reflective tasks require
readers to make a comparison or several connections between the text and outside knowledge,
by drawing on personal experience and attitudes. PISA considers Level 2 a baseline level of
proficiency at which students begin to demonstrate the reading skills and competencies that will
allow them to participate effectively and productively in life as they continue their studies, and as
they enter into the labour force and become members of society.
NATURE OF THE TASK
Identify an author’s attitude in a persuasive text
The situation is personal. The question belongs to the argumentation text type category because
it is the type of text that presents the relationship among concepts or propositions. Argument
texts often answer why questions.
READING ASPECT
The aspect is integrate and interpret – develop an interpretation because the individual has to
focus on relationships between parts of the text.
SCORING
Full credit: Refers to the idea that the author does not believe in inedia and provides evidence to
support this. May quote directly from the text.
No credit: Gives an insufficient or vague response; shows inaccurate comprehension of the
material or gives an implausible or irrelevant response; or missing.
READING
6
QUESTION LEVEL 3: WRITING A TRAVEL ARTICLE
Let’s say I want to write an article expressing my conviction that Croatia is the next big
destination for travellers. First, I’d ask myself why I feel this way. Well, let’s see: it’s beautiful,
it has a rich history, the people are warm and it’s great value. I’ve isolated four salient points
to support my theme, so the next question is order of importance.
To organise my story in terms of accelerating emotional connection, I’ll lead with the point
about value for money as it’s the least emotional and most practical or logical consideration.
History begins to involve the heart but is still fundamentally intellectual, so that would be
second. Beauty is a more emotional consideration, drawing readers into the story via their
soul. The people connection represents what I think is the climax of my trip, and the climax
of travel itself, so that would come last. My final point is the top of the pyramid, but every
step along the way contributes to my story’s overall resonance and effectiveness.
Next, I’ll search through my notes and draw out the experiences that brought these points to
life. The hostel in Dubrovnik that cost just £15 a night, or that extraordinary meal under the
stars that was £5. That’s where I learned how inexpensive the place was, relatively
speaking. The historical richness of the country came to life in Dubrovnik, when I walked
along the walls of the old city and saw old roof tiles shattered during the war lying side by
side with new roof tiles built to replace them – a poignant reminder of the constant presence
of the past, but also an inspiring example of how tourism can help rebuild a place.
Croatia’s beauty was obvious: the rocky coast and the shadowing cypresses, the wildflowers
in bloom and not a person in sight.
And then it all came together for me on my last night in Dubrovnik, when I went out to dinner
with a local tour guide and she told me about how her family had suffered during the war,
how the entire country had suffered, but there was now new hope blooming in the land.
On reviewing these experiences, I realise that the historic part of the piece has more
emotional resonance for me than the beautiful landscape. And so, I rearrange the segments.
I start with the process, then move on to the beauty and the history, and end with my meal
with the tour guide. I’ll have to make sure I pay attention to the transitions between the
sections, but the piece is already taking shape in my mind. I’ve figured out how to structure
the middle, and now it’s just a question of bringing the individual examples to vivid life.
QUESTION
Which of these factors does the writer consider most important when writing a travel piece
about Croatia?
A The amount of detail that is provided for each personal story.
B The extent to which each experience described was personally moving.
C The way that the story moves between history and the present day.
D The way that the story links the distressing and rewarding experiences.
READING
7
PRINT READING QUESTION (LEVEL 3)
THE CORRECT ANSWER:
(B) THE EXTENT TO WHICH EACH EXPERIENCE
DESCRIBED WAS PERSONALLY MOVING.
QUESTION LEVEL
Students at Proficiency Level 3 are capable of reading tasks of moderate complexity, such as
locating multiple pieces of information, making links between different parts of a text, and relating
it to familiar everyday knowledge. Tasks at this level require the reader to locate, and in some
cases recognise the relationship between, several pieces of information that must meet multiple
conditions. Interpretative tasks at this level require the reader to integrate several parts of a text
in order to identify a main idea, understand a relationship, or construe the meaning of a word or
phrase. They need to take into account many features in comparing, contrasting or categorising.
The required information might not be prominent or there may be too much competing
information, or there might be other obstacles in the text, such as ideas that are contrary to
expectation or that are negatively worded. Reflective tasks at this level might require
connections, comparisons, and explanations, or they might require the reader to evaluate a
feature of the text. Some reflective tasks require readers to demonstrate a fine understanding of
the text in relation to everyday knowledge. Other tasks do not require detailed text
comprehension but require the reader to draw upon less common knowledge.
NATURE OF THE TASK
Interpret the main factor involved in organising an article
The situation is educational. The question belongs to the instruction text type category because it
is the type of text that provides directions on what to do. The text presents directions for
certain behaviours in order to complete a task (e.g. a recipe, a series of diagrams showing a
procedure for giving first aid, and guidelines for operating digital software).
READING ASPECT
The aspect is integrate and interpret – form a broad understanding because the individual has
to focus on relationships within the whole text.
SCORING
Full credit: B. The extent to which each experience described was personally moving.
No credit: Other responses or missing.
READING
8
QUESTION LEVEL 4: LOST AT SEA
LOST AT SEA
Dawn did not break slowly, as it does on land. The sky turned pale, the first stars
disappeared, and I went on looking, first at my watch and then at the horizon. The contours
of the sea began to appear. Twelve hours had passed, but it didn’t seem possible. Night
couldn’t be as long as day. You have to have spent the night at sea, sitting in a life raft and
looking at your watch, to know that the night is immeasurably longer than the day. But soon
dawn begins to break, and then it’s wearying to know it’s another day.
That occurred to me on my first night in the raft. When dawn came, nothing else mattered. I
thought neither of water nor of food. I didn’t think of anything at all, until the wind turned
warmer and the sea’s surface grew smooth and golden. I hadn’t slept a second all night, but
at that moment it seemed as if I’d just awakened. When I stretched out in the raft my bones
ached and my skin burned. But the day was brilliant and warm, and the murmur of the wind
picking up gave me a new strength to continue waiting. And I felt profoundly composed in
the life raft. For the first time in my twenty years of life, I was perfectly happy.
The raft continued to drift forward – how far it had gone during the night I couldn’t calculate –
but the horizon still looked exactly the same, as if I hadn’t moved a centimetre. At seven
o’clock I thought of the destroyer. It was breakfast time. I imagined my shipmates seated
around the table eating apples. Then we would have eggs. Then meat. Then bread and
coffee. My mouth filled with saliva and I could feel a slight twisting in my stomach. To take
my mind off the idea of food, I submerged myself up to my neck in the bottom of the raft. The
cool water on my sunburned back was soothing and made me feel stronger. I stayed
submerged like that for a long time, asking myself why I had gone with Ramón Herrera to
the stern deck instead of returning to my bunk to lie down. I reconstructed the tragedy
minute by minute and I decided I had been stupid. There was really no reason I should have
been one of the victims: I wasn’t on watch, I wasn’t required on deck. When I concluded that
everything that had happened was due to bad luck, I felt anxious again. But looking at my
watch calmed me down. The day was moving along quickly: it was eleven-thirty
QUESTION
How does the sailor try to cope with his experiences throughout the passage?
A By staying alert.
B By avoiding worry.
C By remembering what happened.
D By trying to forget the past.
READING
9
PRINT READING QUESTION (LEVEL 4)
THE CORRECT ANSWER IS:
(B) BY AVOIDING WORRY.
QUESTION LEVEL
Students at Proficiency Level 4 are capable of difficult reading tasks such as locating embedded
information, construing meaning from linguistic nuances and critically evaluating a text. Tasks at
this level that involve retrieving information require the reader to locate and organise several
pieces of embedded information. Some tasks at this level require interpreting the meaning of
nuances in a section of text by taking into account the text as a whole. Other interpretative tasks
require understanding and applying categories in an unfamiliar context. Reflective tasks at this
level require readers to use formal or public knowledge to hypothesise about or critically evaluate
a text. Readers must demonstrate an accurate understanding of long or complex texts whose
content or form might be unfamiliar.
NATURE OF THE TASK
Identify a character’s overall response to a situation
The situation is personal. The question belongs to the narration text type category because it is
the type of text where the information refers to properties of objects in time. Narration
typically answers questions relating to when, or in what sequence.
READING ASPECT
The aspect is integrate and interpret – form a broad understanding because the individual has
to focus on relationships within the whole text.
SCORING
Full credit: B. By avoiding worry.
No credit: Other responses or missing.
READING
10
QUESTION LEVEL 5: WELL-BEING IN THE UNITED STATES
In 2008, a survey investigated the well-being of people in the United States in relation to
their age. The telephone survey involved more than 340,000 people, aged from 18 to 85.
The figures below show some of the results.
READING
11
WB Ladder
7.6 7.4 7.2 7 6.8 6.6 6.4 6.2 6
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
Figure 1: Global Well-being
(overall life satisfaction)
Enjoyment
10 9 8 7 6
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
Figure 2: Results for Enjoyment
(a component of hedonic well-being)
Stress
5 4 3 2 1
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
Figure 3: Results for Stress
(a component of hedonic well-being)
GLOBAL WELL-BEING
Survey participants were asked to rank their
overall life satisfaction on a 10-point scale.
This became their “global well-being” score.
HEDONIC WELL-BEING
Survey participants were also asked six yesor-no questions aimed at establishing their
“hedonic wellbeing”, which is a person’s
immediate experience of a psychological
state. These questions asked whether
participants had experienced particular
feelings for a long period of time the previous
day (enjoyment, happiness, stress, worry,
anger, sadness). According to researchers,
such answers are free from the revised
memories or subjective judgements that the
question about overall life satisfaction may
encourage.
Information was also collected about
participants’ gender, personal finances,
health and other matters.
QUESTION
READING
12
In order to get the information shown in Figure 3, which of these questions might the
researchers have asked the participants during the telephone survey?
A On a scale of 1 to 10, how much stress did you experience yesterday?
B At what time of the day yesterday did you experience stress?
C Did you experience stress for a large part of the day yesterday?
D At what age did you experience most stress?
READING
13
PRINT READING QUESTION (LEVEL 5)
THE CORRECT ANSWER IS:
(C) DID YOU EXPERIENCE STRESS FOR A LARGE PART
OF THE DAY YESTERDAY?
QUESTION LEVEL
Students at Proficiency Level 5 can handle texts that are unfamiliar in either form or content.
They can find information in such texts, demonstrate detailed understanding, and infer which
information is relevant to the task. They are also able to critically evaluate such texts and build
hypotheses about them, drawing on specialised knowledge and accommodating concepts that
might be contrary to expectations. An inspection of the kinds of tasks students at Level 5 are
capable of suggests that those who get to this level and Level 6 can be regarded as potential
“world class” knowledge workers of tomorrow.
NATURE OF THE TASK
Identify explicitly stated information reworked in a question format
The situation is public. The question belongs to the exposition text type category because it is
the type of text in which the information is presented as composite concepts or mental
constructs, or those elements into which concepts or mental constructs can be analysed.
READING ASPECT
The aspect is integrate and interpret – develop an interpretation because the individual has to
focus on relationships between parts of the text.
SCORING
Full credit: C. Did you experience stress for a large part of the day yesterday?
No credit: Other responses or missing.
READING
14
QUESTION LEVEL 6: WELL-BEING IN THE UNITED STATES
In 2008, a survey investigated the well-being of people in the United States in relation to
their age. The telephone survey involved more than 340,000 people, aged from 18 to 85.
The figures below show some of the results.
READING
15
WB Ladder
7.6 7.4 7.2 7 6.8 6.6 6.4 6.2 6
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
Figure 1: Global Well-being
(overall life satisfaction)
Enjoyment
10 9 8 7 6
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
Figure 2: Results for Enjoyment
(a component of hedonic well-being)
Stress
5 4 3 2 1
18-21
22-25
26-29
30-33
34-37
38-41
42-45
46-49
50-53
54-57
58-61
62-65
66-69
70-73
74-77
78-81
82-85
Age
Figure 3: Results for Stress
(a component of hedonic well-being)
GLOBAL WELL-BEING
Survey participants were asked to rank their
overall life satisfaction on a 10-point scale.
This became their “global well-being” score.
HEDONIC WELL-BEING
Survey participants were also asked six yesor-no questions aimed at establishing their
“hedonic wellbeing”, which is a person’s
immediate experience of a psychological
state. These questions asked whether
participants had experienced particular
feelings for a long period of time the previous
day (enjoyment, happiness, stress, worry,
anger, sadness). According to researchers,
such answers are free from the revised
memories or subjective judgements that the
question about overall life satisfaction may
encourage.
Information was also collected about
participants’ gender, personal finances,
health and other matters.
QUESTION
READING
16
Is this a fair comment?
Click “Yes” or “No” and explain your answer.
Yes No
Type your answer here:
..................................................................
This research shows how satisfied
different age groups are, but it can’t
say anything about why this is the
case.
READING
17
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
PRINT READING QUESTION (LEVEL 6)
THE CORRECT ANSWER:
ANSWERS OR IMPLIES NO, AND REFERS TO THE
PURPOSE OF COLLECTING ADDITIONAL PERSONAL
INFORMATION FROM THE PARTICIPANTS.
QUESTION LEVEL
Students at Proficiency Level 6 are highly skilled readers. They can conduct fine-grained
analyses of texts, which require detailed comprehension of both explicit information and unstated
implications, and they can reflect on and evaluate what they read at a more general level.
Students at this level have successfully completed most of the tasks presented to them in the
reading assessment, demonstrating that they are capable of dealing with many different types of
reading material. Hence, they are diversified readers who can assimilate information from
unfamiliar content areas presented in atypical formats, as well as being able to engage with more
familiar content with typical structures and text features. Another characteristic of the most highly
developed readers is that they can overcome preconceptions in the face of new information,
even when that information is contrary to expectations. Students at this level are capable of
recognising what is provided in a text, both conspicuous and more subtle information, while
being able to apply a critical perspective to it, drawing on sophisticated understanding beyond
the text.
NATURE OF THE TASK
Use information from a report to evaluate a criticism of the report
The situation is public. The question belongs to the exposition text type category because it is
the type of text in which the information is presented as composite concepts or mental
constructs, or those elements into which concepts or mental constructs can be analysed.
READING ASPECT
The aspect is integrate and interpret – develop an interpretation because the individual has to
focus on relationships between parts of the text.
SCORING
Full credit: Answers or implies No, and refers to the purpose of collecting additional personal
information from the participants.
No credit: Answers or implies No without any explanation or with an implausible, irrelevant or
vague explanation; Answers or implies Yes; Shows inaccurate comprehension of the material or
gives an implausible or irrelevant answer; or missing.
MATHEMATICS
18
QUESTION LEVEL 1: IRON-ON IMAGE
Josh designs images for t-shirts on his computer. He prints the images using special paper.
The image is then ironed onto the t-shirt.
The final image on the t-shirt is a mirror image of the design on the computer.
QUESTION
This picture shows a new design Josh printed onto paper.
How will the design appear on the t-shirt?
A B
C D
Designed on computer
Printed on paper
Ironed onto t-shirt
MATHEMATICS
19
MATHEMATICS QUESTION (LEVEL 1)
THE CORRECT ANSWER IS:
(B)
QUESTION LEVEL
Students at Proficiency Level 1 can answer questions involving familiar contexts where all
relevant information is present and the questions are clearly defined. They are able to identify
information and to carry out routine procedures according to direct instructions in explicit
situations. They can perform actions that are obvious and follow immediately from the given
stimuli.
NATURE OF THE TASK
Identify the reflection of an abstract image
The context is occupational. The question belongs to the space and shape content category,
which encompasses a wide range of phenomena that are encountered everywhere in our
visual and physical world: patterns, properties of objects, positions and orientations,
representations of objects, decoding and encoding of visual information, navigation and
dynamic interaction with real shapes as well as with representations.
MATHEMATICAL PROCESS
The process is employing mathematical concepts, facts, procedures and reasoning because
the individual has to apply mathematical concepts, facts, procedures, and reasoning to solve
mathematically-formulated problems to obtain mathematical conclusions.
SCORING
Full credit: B. (graphic)
No credit: Other responses or missing.
MATHEMATICS
20
QUESTION LEVEL 2: FREE TICKETS
A radio station has 10 free tickets to a concert to give away.
Each listener may send in one email requesting a ticket.
Emails are received from 1200 listeners.
Emails are then selected at random one at a time until all tickets are given away.
QUESTION
The first 9 tickets have been given away.
John’s email has not been selected.
What is John’s chance of winning the last ticket?
John’s chance = 1 in .............................
MATHEMATICS
21
MATHEMATICS QUESTION (LEVEL 2)
THE CORRECT ANSWER IS:
1191 OR WORKING THAT SHOWS 1 ÷ 1191
QUESTION LEVEL
Students at Proficiency Level 2 can interpret and recognise situations in contexts that require no
more than direct inference. They can extract relevant information from a single source and make
use of a single representational mode. Students at this level can employ basic algorithms,
formulae, procedures, or conventions. They are capable of direct reasoning and literal
interpretations of the results. PISA considers Level 2 a baseline level of mathematics proficiency
at which students begin to demonstrate the kind of skills that enable them to use mathematics in
ways that are considered fundamental for their future development.
NATURE OF THE TASK
Calculate conditional probability of an event
The context is societal. The question belongs to the uncertainty and data content category, which
includes recognising the place of variation in processes, having a sense of the quantification
of that variation, acknowledging uncertainty and error in measurement, and knowing about
chance.
MATHEMATICAL PROCESS
The process is formulating situations mathematically because the individual has to recognise
and identify opportunities to use mathematics and then provide mathematical structure to a
problem presented in some contextualised form.
SCORING
Full credit: 1191 or working that shows 1 ÷ 1191
No credit: Other responses or missing.
MATHEMATICS
22
QUESTION LEVEL 3: WHICH FORMULA?
Steph and Jawad run their own businesses.
Steph makes greeting cards and sells them at a market each
Sunday.
Jawad is a gardener.
QUESTION
Jawad’s total charge for a gardening job is:
a fixed charge of 20 zeds plus
an hourly charge of 30 zeds per hour.
Write a formula that shows how Jawad’s total charge, C, relates to, h, the number of hours
he spends on a job?
Type your response here:
……………………………………………………………………
NOTE: PISA questions often refer to situations that take place in the fictional country of
Zedland, where the Zed is the unit of currency.
MATHEMATICS
23
MATHEMATICS QUESTION (LEVEL 3)
THE CORRECT ANSWER IS:
AN EXPRESSION THAT SHOWS AN UNDERSTANDING
OF THE RELATIONSHIP BETWEEN TOTAL CHARGE,
FIXED CHARGE, HOURLY CHARGE AND HOURS
(E.G., C = 30H +20; C = 20 + H x 30)
QUESTION LEVEL
Students at Proficiency Level 3 can execute clearly described procedures, including those that
require sequential decisions. They can select and apply simple problem-solving strategies.
Students at this level can interpret and use representations based on different information
sources and reason directly from them. They can develop short communications reporting their
interpretations, results and reasoning.
NATURE OF THE TASK
Create a correct formula in a context based on a linear relationship between fixed and variable
costs
The context is occupational. The question belongs to the change and relationships content area,
which involves understanding fundamental types of change and recognising when they occur
in order to use suitable mathematical models to describe and predict change.
MATHEMATICAL PROCESS
The process is formulating situations mathematically because the individual has to recognise
and identify opportunities to use mathematics and then provide mathematical structure to a
problem presented in some contextualised form.
SCORING
Full credit: An expression that shows an understanding of the relationship between total charge,
fixed charge, hourly charge and hours
Partial credit: An expression that shows an understanding of the relationship between total
charge, hourly charge and hours [omits fixed charge]
No credit: Other responses or missing.
MATHEMATICS
24
QUESTION LEVEL 4: AGE OF MOTHERS
This graph shows the percentage of births in Zedland for two years (1960 and 2000),
according to the mother’s age at the time of birth.
For example, in 1960, 16% of the births were to mothers in the 30-34 age group.
QUESTION
Is each of the following statements about the graph true or false?
Click “True” or “False” for each statement.
Statement True or False?
Approximately one quarter of the births
in 1960 were to mothers aged 25-29.
True / False
There were fewer mothers who gave
birth aged 15-19 in 2000 than in 1960.
True / False
In 1960, the median age of mothers who
gave birth was in the 20-24 age group.
True / False
Age of Mother at Birth of Child
1960
2000
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
Percentage
of annual
births
Age group (years)
40
35
30
25
20
15
10
5
0
15-19 20-24 25-29 30-34 35-39 40-44
NOTE: PISA questions often refer to situations that take place in the fictional country of
Zedland.
MATHEMATICS
25
MATHEMATICS QUESTION (LEVEL 4)
THE CORRECT ANSWER IS:
TRUE, TRUE, FALSE IN THAT ORDER
QUESTION LEVEL
Students at Proficiency Level 4 can work effectively with explicit models for complex, concrete
situations that might involve constraints or call for making assumptions. They can select and
integrate different representations, including symbolic ones, linking them directly to aspects of
real-world situations. Students at this level can use well-developed skills and reason flexibly, with
some insight, in these contexts. They can construct and communicate explanations and
arguments based on their interpretations, arguments and actions.
NATURE OF THE TASK
Determine accuracy of statements about grouped data represented by comparative bar graph
The context is societal. The question belongs to the uncertainty and data content category, which
includes recognising the place of variation in processes, having a sense of the quantification
of that variation, acknowledging uncertainty and error in measurement, and knowing about
chance.
MATHEMATICAL PROCESS
The process is employing mathematical concepts, facts, procedures and reasoning because
the reader has to recognise and identify opportunities to use mathematics and then provide
mathematical structure to a problem presented in some contextualised form.
SCORING
Full credit: Three correct responses: True, True, False in that order
No credit: Fewer than three correct responses or missing.
MATHEMATICS
26
QUESTION LEVEL 5: SUN ROOM
The diagrams show the plans for a sun room. It will be built onto the wall of a house.
The four walls of the sunroom are square clear glass panels.
The roof is made using
four clear glass panels, trapezium in shape, all the same size
one tinted glass panel, half a regular octagon in shape.
QUESTION
The edge AB of one of the roof panels is shown on the diagrams.
What is the actual length of AB?
…………………….. metres
A
B
A B
A
B
Top view
Front view
Not to scale
Scale 1 cm = 1 m
1 cm
MATHEMATICS
27
MATHEMATICS QUESTION (LEVEL 5)
THE CORRECT ANSWER IS:
2.236 OR 2.24 OR 2.2 OR √5.
QUESTION LEVEL
Students at Proficiency Level 5 can develop and work with models for complex situations,
identifying constraints and specifying assumptions. They can select, compare, and evaluate
appropriate problem solving strategies for dealing with complex problems related to these
models. Students at this level can work strategically using broad, well-developed thinking and
reasoning skills, appropriate linked representations, symbolic and formal characterisations, and
insight pertaining to these situations. They can reflect on their actions and formulate and
communicate their interpretations and reasoning.
NATURE OF THE TASK
Use information from scale drawings and Pythagoras’ Theorem to show how an actual length is
found
The context is societal. The question belongs to the space and shape content area, which
encompasses a wide range of phenomena that are encountered everywhere in our visual
and physical world: patterns, properties of objects, positions and orientations,
representations of objects, decoding and encoding of visual information, navigation and
dynamic interaction with real shapes as well as with representations.
MATHEMATICAL PROCESS
The process is employing mathematical concepts, facts, procedures and reasoning because
the reader has to recognise and identify opportunities to use mathematics and then provide
mathematical structure to a problem presented in some contextualised form.
SCORING
Full credit: 2.236 or 2.24 or 2.2 or √5
Partial credit: 2 [Uses scale correctly but not Pythagoras]
No credit: Other responses or missing.
MATHEMATICS
28
QUESTION LEVEL 6: FILL A ROOM COMPETITION
To raise money for a school fete, a competition is held.
Students must guess the number of bags of plastic beads that would be needed to fill a
classroom.
Each bag holds 100 litres of beads.
QUESTION
One kilolitre of beads fills one cubic metre.
Show by your working that the volume of one bag of beads is 0.1 cubic metres.
Type your answer here:
…………………………………………….
PLASTIC
BEADS
100 litres
MATHEMATICS
29
MATHEMATICS QUESTION (LEVEL 6)
THE CORRECT ANSWER:
SHOWS THAT 100 LITRES IS EQUIVALENT TO 0.1 M3.
QUESTION LEVEL
Students at Proficiency Level 6 can conceptualise, generalise and utilise information based on
their investigations and modelling of complex problems. They can link different information
sources and representations and flexibly translate between them. Students at this level are
capable of advanced mathematical thinking and reasoning. They can apply this insight and
understanding along with a mastery of symbolic and formal mathematical operations and
relationships to develop new approaches and strategies for attacking novel situations. Students
at this level can formulate and precisely communicate their actions and reflections regarding their
findings, interpretations, arguments, and the appropriateness of these to the original situations.
NATURE OF THE TASK
Use metric information about volume and capacity to show that a quantity of litres is equivalent to
a fraction of a cubic metre
The context is personal. The question belongs to the quantity content area, which involves
understanding measurements, counts, magnitudes, units, indicators, relative size, and
numerical trends and patterns. Aspects of quantitative reasoning – such as number sense,
multiple representations of numbers, elegance in computation, mental calculation, estimation
and assessment of reasonableness of results – are the essence of mathematical literacy
relative to quantity.
MATHEMATICAL PROCESS
The process is employing mathematical concepts, facts, procedures and reasoning because
the individual has to apply mathematical concepts, facts, procedures, and reasoning to solve
mathematically-formulated problems to obtain mathematical conclusions.
SCORING
Full credit: Working shows that 100 litres is equivalent to 0.1 m3.
No credit: Other responses or missing.
SCIENCE
30
QUESTION LEVEL 1: REVERSE OSMOSIS
One way of producing drinking water from seawater is by reverse osmosis.
Reverse osmosis is a type of filtration.
Seawater is pushed through a semi-permeable membrane. Pressure is applied to the
seawater. Semi-permeable means salt is trapped on one side of the membrane, but water
can pass through.
The trapped salts form a ‘seawater concentrate’ on one side of the membrane.
Seawater reverse osmosis desalination process
QUESTION
Where do the trapped salts go?
E ocean
Water
distribution
system
Ocean
Seawater
intake
Seawater
concentrate
outlet
Pumping
station
Storage
tank
Delivery
pump
Membrane
SCIENCE
31
F storage tank
G delivery pipeline
H water distribution system
SCIENCE
32
SCIENCE QUESTION (LEVEL 1)
THE CORRECT ANSWER IS:
(A) OCEAN.
QUESTION LEVEL
At Level 1, students have such a limited scientific knowledge that it can only be applied to a few,
familiar situations. They can present scientific explanations that are obvious and follow explicitly
from given evidence.
NATURE OF THE TASK
Access scientific information and produce a conclusion based on scientific evidence
The setting is social. The question belongs to the knowledge about science – scientific
explanations knowledge category.
SCIENCE COMPETENCY
The competency is using scientific evidence because the individual has to access scientific
information and produce arguments and conclusions based on scientific evidence. The
required response can involve knowledge about science or knowledge of science or both.
SCORING
Full credit: A. ocean
No credit: Other responses or missing.
SCIENCE
33
QUESTION LEVEL 2: REVERSE OSMOSIS
One way of producing drinking water from seawater is by reverse osmosis.
Reverse osmosis is a type of filtration.
Seawater is pushed through a semi-permeable membrane. Pressure is applied to the
seawater. Semi-permeable means salt is trapped on one side of the membrane, but water
can pass through.
The trapped salts form a ‘seawater concentrate’ on one side of the membrane.
Seawater reverse osmosis desalination process
QUESTION
What will determine whether a particle is able to pass through the membrane?
A particle size
B particle mass
C number of particles
D charge on the particle
Water
distribution
system
Ocean
Seawater
intake
Seawater
concentrate
outlet
Pumping
station
Storage
tank
Delivery
pump
Membrane
SCIENCE
34
SCIENCE QUESTION (LEVEL 2)
THE CORRECT ANSWER IS:
(A) PARTICLE SIZE.
QUESTION LEVEL
At Level 2, students have adequate scientific knowledge to provide possible explanations in
familiar contexts or draw conclusions based on simple investigations. They are capable of direct
reasoning and making literal interpretations of the results of scientific inquiry or technological
problem solving.
NATURE OF THE TASK
Use knowledge of science where a correct response requires an explanation of an observed
scientific phenomenon
The situation is social. The question belongs to the knowledge of science – physical systems
knowledge category.
SCIENCE COMPETENCY
The competency is explaining phenomena scientifically because it requires the reader to
apply appropriate knowledge of science in a given situation. The competency includes
describing or interpreting phenomena and predicting changes, and may involve recognising
or identifying appropriate descriptions, explanations, and predictions.
SCORING
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
Full credit: A. particle size
No credit: Other responses or missing.
SCIENCE
35
QUESTION LEVEL 3: CHOLERA
Cholera is a disease caused by bacteria. The symptoms are severe diarrhoea and vomiting.
In August of 1854, there was a cholera epidemic in London. At the time it was assumed that
cholera was airborne and caused by ‘bad air’. John Snow, a British doctor didn’t believe this
theory.
Snow studied the pattern of deaths from the disease. He plotted a map of the affected area,
marking the location of every person that died from cholera.
John Snow’s map of London 1854 showing water pumps and places where people died of
cholera.
KEY
Water Pump
Deceased person
QUESTION
1
2
3
4
1
2
3
4
SCIENCE
36
What further research could John Snow have done to help find out how cholera spread?
Click “Yes” or “No” for the statements about further research.
Would this research have helped John Snow find out how
cholera spread?
Yes or No?
Ask relatives of those that died which pump they collected their
water from.
Yes / No
Find out who the cholera victims came into contact with just
before they became ill.
Yes / No
Find out the direction the wind was blowing before the cholera
outbreak.
Yes / No
SCIENCE
37
SCIENCE QUESTION (LEVEL 3)
THE CORRECT ANSWER IS:
YES, YES, YES IN THAT ORDER.
QUESTION LEVEL
At Level 3, students can identify clearly described scientific issues in a range of contexts. They
can select facts and knowledge to explain phenomena and apply simple models or inquiry
strategies. Students at this level can interpret and use scientific concepts from different
disciplines and can apply them directly. They can develop short statements using facts and make
decisions based on scientific knowledge.
NATURE OF THE TASK
Recognise questions that it would be possible to investigate scientifically
The situation is personal. The question belongs to the knowledge about science – scientific
enquiry knowledge category.
SCIENCE COMPETENCY
The competency is identifying scientific issues because the reader has to recognise questions
that it would be possible to investigate scientifically in a given situation and identify keywords
to search for scientific information on a given topic.
SCORING
Full credit: All three correct: Yes, Yes, Yes in that order.
Partial credit: Any two of the three correct.
No credit: Other responses or missing.
SCIENCE
38
QUESTION LEVEL 4: HYDROPONICS
Hydroponics is a way of growing plants without soil. The plants grow in an insoluble porous
material, e.g. sand, which is regularly soaked with water.
A simple hydroponics system is shown below.
Simple HYDROPONICS system
Water is pumped though the system four to six times a day depending on plant type. Once
the pumping stops, any excess water drains away and collects in the water storage tank.
QUESTION
Studies have shown that plants grown hydroponically use less water than plants grown in
soil.
A key reason for this lies in the design of hydroponics systems.
What feature of the hydroponics system saves water compared to plants grown in soil?
E The porous material holds the water in the growing trough.
F Because water is not present all the time there is less evaporation.
G Plants watered at regular intervals absorb less water.
H Water flow over the roots cools the plant, so the plant uses less water.
plants porous material growing trough
water storage tank water pump
SCIENCE
39
SCIENCE QUESTION (LEVEL 4)
THE CORRECT ANSWER IS:
(B) BECAUSE WATER IS NOT PRESENT ALL THE TIME
THERE IS LESS EVAPORATION.
QUESTION LEVEL
At Level 4, students can work effectively with situations and issues that may involve explicit
phenomena requiring them to make inferences about the role of science or technology. They can
select and integrate explanations from different disciplines of science or technology and link
those explanations directly to aspects of life situations. Students at this level can reflect on their
actions and they can communicate decisions using scientific knowledge and evidence.
NATURE OF THE TASK
Access scientific information and produce a conclusion based on scientific evidence
The situation is social. The question belongs to the knowledge about science – scientific
explanations knowledge category.
SCIENCE COMPETENCY
The competency is using scientific evidence because the individual has to access scientific
information and produce arguments and conclusions based on scientific evidence. The
required response can involve knowledge about science or knowledge of science or both.
SCORING
Full credit: B Because water is not present all the time there is less evaporation.
No credit: Other responses or missing.
SCIENCE
40
QUESTION LEVEL 5: FLOATING
QUESTION
Look at the pictures of the spider and the metal paper clip. What is the reason that both the
spider and the paper clip can stay on top of the water?
Type your answer here:
spider leg
water
Spider or insect walking on water Metal paperclip floating
on water in a glass
SCIENCE
41
SCIENCE QUESTION (LEVEL 5)
THE CORRECT ANSWER:
MENTIONS THE SURFACE TENSION OF THE WATER
AND/OR EXPRESSES THE IDEA OF THE WEIGHT OF
THE OBJECT BEING SPREAD OVER A LARGE AREA.
QUESTION LEVEL
At Level 5, students can identify the scientific components of many complex life situations, apply
both scientific concepts and knowledge about science to these situations, and can compare,
select and evaluate appropriate scientific evidence for responding to life situations. Students at
this level can use well-developed inquiry abilities, link knowledge appropriately and bring critical
insights to situations. They can construct explanations based on evidence and arguments based
on their critical analysis.
NATURE OF THE TASK
Use knowledge of science where a correct response requires an explanation of an observed
scientific phenomenon
The situation is personal. The question belongs to the knowledge of science – physical systems
knowledge category.
SCIENCE COMPETENCY
The competency is explaining phenomena scientifically because it requires the reader to
apply appropriate knowledge of science in a given situation. The competency includes
describing or interpreting phenomena and predicting changes, and may involve recognising
or identifying appropriate descriptions, explanations, and predictions.
SCORING
Full credit: Mentions the surface tension of the water and/or expresses the idea of the weight of
the object being spread over a large area.
No credit: Responses that do not meet the “full credit” criteria or missing.
SCIENCE
42
QUESTION LEVEL 6: UNDERGROUND COOLING
Most underground train systems have a problem of high temperatures within sections of
their tunnels. For example, the London underground has several sections of rail line where
the tunnel temperature can be above 40 °C.
The problem has become worse over the past 100 years as soil around the tunnels has
gradually warmed.
QUESTION
Which of these heat sources could have contributed to warming soil around the tunnels deep
underground?
Click “Yes” or “No” in each case.
Heat source Does this heat source warm soil around
the tunnels?
Heat from the sun. Yes / No
Heat released from the trains brakes. Yes / No
Heat from the train engines. Yes / No
Heat from passengers’ bodies. Yes / No
SCIENCE
43
SCIENCE QUESTION (LEVEL 6)
THE CORRECT ANSWER IS:
NO, YES, YES, YES IN THAT ORDER
QUESTION LEVEL
At Level 6, students can consistently identify, explain and apply scientific knowledge and
knowledge about science in a variety of complex life situations. They can link different
information sources and explanations and use evidence from those sources to justify decisions.
They clearly and consistently demonstrate advanced scientific thinking and reasoning, and they
use their scientific understanding in support of solutions to unfamiliar scientific and technological
situations. Students at this level can use scientific knowledge and develop arguments in support
of recommendations and decisions that centre on personal, social or global situations.
NATURE OF THE TASK
Use knowledge of science where a correct response requires an explanation of an observed
scientific phenomenon
CONTOH SOAL PISA LENGKAP, IPA/ SAINS, MATEMATIKA, LITERASI/ MEMBACA BESERTA JAWABANNYA TERBARU LEVEL 1-6
The situation is social. The question belongs to the knowledge of science – physical systems
knowledge category.
SCIENCE COMPETENCY
The competency is explaining phenomena scientifically because it requires the reader to
apply appropriate knowledge of science in a given situation. The competency includes
describing or interpreting phenomena and predicting changes, and may involve recognising
or identifying appropriate descriptions, explanations, and predictions.
SCORING
Full credit: All four correct: No, Yes, Yes, Yes in that order.
No credit: Other responses or missing.
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