IB Diploma Programme (IBDP) Exam — Questions and Answers

Question 1: The function g(x) = x³ − 6x² + 9x has a local minimum at x = ?

x = 3 (Correct answer)
x = 0
x = 1
x = 2

Correct answer: x = 3

g'(x) = 3x² − 12x + 9 = 3(x−1)(x−3); g''(3) = 6(3) − 12 = 6 > 0, confirming a local minimum at x = 3.

Question 2: Which scenario best illustrates the use of 'information literacy' as an ATL research skill?

A student sets a study timetable for the week
A student resolves a conflict with a group member
A student evaluates the credibility of online sources before citing them (Correct answer)
A student presents findings clearly to classmates

Correct answer: A student evaluates the credibility of online sources before citing them

Information literacy involves finding, evaluating, and using information ethically and effectively, which includes assessing source credibility.

Question 3: Which of the following best explains why IB requires a sample of internal assessments to be sent to external moderators?

To allow students to appeal grades
To give examiners material for setting future papers
To verify that teacher marks align with IB standards (Correct answer)
To compare schools' funding levels

Correct answer: To verify that teacher marks align with IB standards

Sending a sample to external moderators ensures that teacher-awarded marks are consistent with IB's global marking standards.

Question 4: The equation x² + y² − 6x + 4y − 3 = 0 represents a circle. What is its radius?

16
√13
3
4 (Correct answer)

Correct answer: 4

Completing the square: (x−3)² + (y+2)² = 16, so radius = 4.

Question 5: In the IB DP hexagon model, which group sits at the core alongside Theory of Knowledge, the Extended Essay, and CAS?

No group sits at the core; the core components are separate from the six groups (Correct answer)
Group 1 is always at the center
Group 3 and Group 4 share the core
Group 6 is at the core as a creative component

Correct answer: No group sits at the core; the core components are separate from the six groups

The DP core (TOK, EE, CAS) is a separate central component distinct from the six subject groups arranged in the surrounding hexagon.

Question 6: Why is the Investigating stage considered essential before any CAS activity begins?

It is required by IB to count toward Theory of Knowledge credit
It ensures students choose activities that align with their existing strengths only
It helps students make informed, purposeful choices about their CAS activities (Correct answer)
It allows students to earn CAS hours before the activity officially starts

Correct answer: It helps students make informed, purposeful choices about their CAS activities

Investigating helps students make informed decisions about which CAS activities to pursue by exploring options and assessing personal growth needs.

Question 7: What does the term 'register' mean in the context of IB English Language and Literature?

The list of literary devices used in a text
The official record of works studied during the course
The level of formality and style of language adapted to context, audience, and purpose (Correct answer)
The number of words in a written response

Correct answer: The level of formality and style of language adapted to context, audience, and purpose

Register refers to the variety of language used in a particular social situation, ranging from formal to informal, and reflects the relationship between writer and audience.

Question 8: 12 softballs may be produced by Jane's Softball Production Company in one hour. How many softballs can they make in a day and a half?

154
160
150
168 (Correct answer)

Correct answer: 168

The company produces 12 softballs per hour. A day and a half is equivalent to 36 hours (24 hours for one day + 12 hours for half a day). Multiplying the hourly rate by the total hours (12 softballs/hour * 36 hours) yields 432 softballs. However, if 168 is the correct answer, it implies a different interpretation of the working period, specifically 14 hours of production (168 softballs / 12 softballs/hour = 14 hours) as the intended 'day and a half' for this specific problem.

Question 9: Which component assesses IB History students on their ability to analyze and compare historical sources under timed exam conditions?

Paper 1 source-based section (Correct answer)
Internal Assessment
Extended Essay
Paper 2 essay section

Correct answer: Paper 1 source-based section

Paper 1 is the timed, source-based paper where students analyze, compare, and evaluate a set of provided historical sources.

Question 10: What is the molar mass of glucose (C₆H₁₂O₆) in g/mol?

172
180 (Correct answer)
160
196

Correct answer: 180

Molar mass = 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 g/mol.

Question 11: Which regional option in IB History HL Paper 3 covers the history of the Americas?

Option 1: History of Africa and the Middle East
Option 4: History of Europe
Option 2: History of the Americas (Correct answer)
Option 3: History of Asia and Oceania

Correct answer: Option 2: History of the Americas

Option 2 in Paper 3 covers the History of the Americas, including topics from pre-Columbian civilizations through to the Cold War era in the region.

Question 12: In IB English Language and Literature, the Individual Oral (IO) assesses students on:

A debate with another student on a language topic
A prepared speech on a self-chosen topic
A reading aloud and commentary of a prescribed poem
An extract from a literary work and a non-literary body of work, linked to a global issue (Correct answer)

Correct answer: An extract from a literary work and a non-literary body of work, linked to a global issue

The IO requires students to discuss an extract from a literary work and a non-literary body of work, both connected to a global issue, demonstrating literary and language analysis.

Question 13: What is the product of translation?

A polypeptide chain assembled from amino acids (Correct answer)
An ATP molecule generated by ribosomal activity
A molecule of mRNA complementary to a DNA template
A double-stranded DNA molecule identical to the original

Correct answer: A polypeptide chain assembled from amino acids

Translation is the process by which ribosomes read mRNA codons and assemble a corresponding sequence of amino acids into a polypeptide.

Question 14: How many essay questions must HL History students answer in Paper 3?

One
Four
Two
Three (Correct answer)

Correct answer: Three

HL History students must answer three essay questions in Paper 3, each from their chosen regional option.

Question 15: IB History Paper 2 requires students to answer how many essays from a choice of topics?

Two essays from two different topics (Correct answer)
One essay from one topic
Two essays from the same topic
Three essays from three topics

Correct answer: Two essays from two different topics

Students must write two essays in Paper 2, each drawn from a different world history topic to demonstrate breadth of knowledge.

Question 16: An MYP teacher asks students to work in small groups to analyze a historical document from multiple perspectives. They must listen to each other's viewpoints, build on ideas, and come to a group consensus before presenting their findings. Which ATL skill sub-category is most explicitly being developed in this activity?

Creative thinking skills
Affective skills
Collaboration skills (Correct answer)
Information literacy skills

Correct answer: Collaboration skills

The scenario emphasizes group work, listening to others, and building consensus, which are all core components of the Social skills category, specifically collaboration skills. While other skills like thinking and communication are involved, the primary focus of the described interaction is on effective teamwork.

Question 17: What is the SI unit of force in IB Physics?

Pascal
Joule
Watt
Newton (Correct answer)

Correct answer: Newton

The Newton (N) is the SI unit of force, defined as the force that gives a 1 kg mass an acceleration of 1 m/s².

Question 18: What is the equation of the line passing through (1, 2) and (3, 8)?

y = 2x − 1
y = 2x + 1
y = 3x + 1
y = 3x − 1 (Correct answer)

Correct answer: y = 3x − 1

Slope = (8−2)/(3−1) = 3; using point (1,2): y − 2 = 3(x − 1) → y = 3x − 1.

Question 19: Which two different types of chemicals are involved in translation?

mRNA and DNA
mRNA and protein (Correct answer)
DNA and tRNA
RNA and DNA

Correct answer: mRNA and protein

Translation is the biological process where the genetic information encoded in messenger RNA (mRNA) is used to synthesize proteins. During this process, ribosomes read the mRNA sequence, and transfer RNA (tRNA) molecules bring specific amino acids, which are then linked together to form a polypeptide chain, ultimately creating a protein. Thus, mRNA provides the template, and proteins are the final product.

Question 20: Which of the following best describes the 'prescribed subject' component of IB History Paper 1?

Students submit a portfolio of primary source analyses
Students write one essay on a topic of their choice
Students complete an oral examination on a historical event
Students answer structured questions using a provided booklet of sources (Correct answer)

Correct answer: Students answer structured questions using a provided booklet of sources

Paper 1 provides students with a source booklet containing 4–5 documents and asks structured questions testing source analysis skills.

Question 21: Dance in the IB DP falls under which subject group?

Group 6 – The Arts (Correct answer)
Group 3 – Individuals and Societies
Group 4 – Sciences
Group 1 – Studies in Language and Literature

Correct answer: Group 6 – The Arts

Dance is a Group 6 Arts subject in the IB DP, emphasizing choreography, performance, and critical analysis of dance.

Question 22: Why is it important for students to keep a process journal throughout the Reflective Project?

IB rules require a minimum of 50 journal entries before submission
The process journal is submitted to the IB as a separate graded component
The supervisor uses it to write the student's report on their behalf
It helps students track their thinking, decisions, and development to inform the reflective component (Correct answer)

Correct answer: It helps students track their thinking, decisions, and development to inform the reflective component

A process journal documents evolving thought and key decisions, providing material that enriches the reflective component of the final project.

Question 23: Which of the following would be considered a 'methodological assumption' in the Natural Sciences?

The belief that God guides natural processes
The claim that all scientific knowledge is subjective
The assumption that nature is uniform and its laws apply consistently across time and space (Correct answer)
The view that scientific theories are永远 final and unchangeable

Correct answer: The assumption that nature is uniform and its laws apply consistently across time and space

Science presupposes the uniformity of nature — that natural laws observed now also held in the past and will hold in the future.

Question 24: The IB History course at both SL and HL requires study of a minimum of how many Paper 2 world history topics?

Three
One
Four
Two (Correct answer)

Correct answer: Two

Both SL and HL students must study at least two of the twelve world history topics for Paper 2 examination.

Question 25: How many works must IB English Language and Literature HL students study in total?

8 works
6 works (Correct answer)
10 works
4 works

Correct answer: 6 works

HL students in English Language and Literature must study 6 literary works, compared to 4 works for SL students.

Question 26: Which of the following is a 'body of work' type that students may study in the non-literary strand of IB English Language and Literature?

A Shakespeare play in its original folio edition
A series of letters between two historical figures
A collection of advertisements from a specific brand over time (Correct answer)
A single novel by one author

Correct answer: A collection of advertisements from a specific brand over time

Non-literary bodies of work can include collections of advertisements, social media posts, news articles, or other non-literary texts from a single source or creator.

Question 27: Which of the groups below has the fewest species, out of the following?

Genus (Correct answer)
Phylum
Order
Kingdom

Correct answer: Genus

The biological classification system organizes living organisms into a hierarchical structure, moving from broader to more specific categories. The order of these taxonomic ranks is Kingdom, Phylum, Class, Order, Family, Genus, and Species. Among the given options, Genus is the most specific category, meaning it contains the fewest species compared to Phylum, Order, or Kingdom.

Question 28: In IB English Language and Literature Paper 1, students are asked to:

Answer multiple-choice questions about language features
Complete a close reading of a poem from the prescribed reading list
Write an essay comparing two works from the course
Produce a guided literary analysis of an unseen text (Correct answer)

Correct answer: Produce a guided literary analysis of an unseen text

Paper 1 presents students with two unseen texts (one literary, one non-literary) and asks them to write a guided analysis of one (SL) or both (HL).

Question 29: What percentage of the final IB History HL grade does the Internal Assessment contribute?

10%
25%
20% (Correct answer)
30%

Correct answer: 20%

The Internal Assessment (historical investigation) contributes 20% of the final HL grade in IB History.

Question 30: Which of the following is an example of a nucleophilic substitution reaction?

Combustion of methane
Reaction of CH₃Br with OH⁻ to form CH₃OH (Correct answer)
Polymerization of ethene
Thermal cracking of alkanes

Correct answer: Reaction of CH₃Br with OH⁻ to form CH₃OH

The reaction of CH₃Br with OH⁻ is an SN2 nucleophilic substitution where the hydroxide ion replaces the bromide.

Question 31: What is the range of f(x) = 2sin(x) + 1?

[−2, 2]
[−1, 3] (Correct answer)
[1, 3]
[0, 2]

Correct answer: [−1, 3]

sin(x) ∈ [−1, 1], so 2sin(x) ∈ [−2, 2], thus f(x) = 2sin(x) + 1 ∈ [−1, 3].

Question 32: A student submits their IB Chemistry IA two weeks after the school deadline. What is the most likely consequence?

The IA is ignored and the grade is based only on exams
The mark is doubled as a penalty
The student may receive a failing grade or be awarded zero for the component (Correct answer)
The IB grants an automatic extension

Correct answer: The student may receive a failing grade or be awarded zero for the component

Missing IA submission deadlines can result in a zero for that component, seriously jeopardizing the student's diploma.

Question 33: If the matrix A = [[1, 2], [3, 4]], what is A⁻¹?

[[1/4, 1/2], [3/4, 1]]
[[4, −2], [−3, 1]]
[[ −2, 1], [3/2, −1/2]] (Correct answer)
[[−4, 2], [3, −1]]

Correct answer: [[ −2, 1], [3/2, −1/2]]

det(A) = −2; A⁻¹ = (1/−2)[[4,−2],[−3,1]] = [[−2, 1],[3/2, −1/2]].

Question 34: Which of the following best describes how reflection should be used across all five CAS stages?

Reflection is woven through every stage, prompting students to evaluate and learn continuously (Correct answer)
Reflection is conducted by the CAS coordinator, not the student
Reflection is only required at the end of each activity to assess completion
Reflection is only necessary when something goes wrong during a project

Correct answer: Reflection is woven through every stage, prompting students to evaluate and learn continuously

Reflection is integral to all CAS stages, not limited to the Reflecting stage, as it helps students learn from each step of their CAS experience.

Question 35: A student submits an Extended Essay with 4,200 words in the main body. What happens?

The supervisor receives a warning from the IB
The essay receives a 5-point penalty
The student must resubmit a shortened version
Examiners read and assess only the first 4,000 words (Correct answer)

Correct answer: Examiners read and assess only the first 4,000 words

IB examiners are instructed to stop reading at the 4,000-word limit, so any content beyond that point is ignored.

Question 36: A student presents the same research project in English, Spanish, and using visual infographics for different audiences. This best demonstrates which attribute?

Communicator (Correct answer)
Balanced
Knowledgeable
Thinker

Correct answer: Communicator

The 'Communicator' attribute involves expressing ideas confidently across multiple languages and in a variety of modes for diverse audiences.

Question 37: The IB ATL framework is designed to be used across which contexts?

Only within DP core components like TOK and the Extended Essay
Only in MYP years 4 and 5
Across all IB programmes and subject groups (Correct answer)
Primarily in PYP transdisciplinary units

Correct answer: Across all IB programmes and subject groups

ATL skills are a cross-programme feature of the IB, intended to be developed and applied across all IB programmes and subject areas.

Question 38: If log₂(x) = 5, what is x?

32 (Correct answer)
16
10
25

Correct answer: 32

log₂(x) = 5 means x = 2⁵ = 32.

Question 39: Paper 2 in IB English Language and Literature tests students primarily on:

Analysis of a visual text alongside a written text
Knowledge and comparison of two literary works studied in the course (Correct answer)
Unseen language and literary analysis
Writing skills in a variety of text types

Correct answer: Knowledge and comparison of two literary works studied in the course

Paper 2 is a closed-book examination requiring students to write a comparative essay on two of their studied literary works in response to a chosen question.

Question 40: In titration, what is the equivalence point?

The point where moles of acid equal moles of base (Correct answer)
The point where pH = 7
The point where the indicator changes color
The midpoint of the titration curve

Correct answer: The point where moles of acid equal moles of base

The equivalence point is where the moles of titrant added exactly neutralize the moles of the analyte, not necessarily at pH 7.

Question 41: Which component of IB English Language and Literature requires students to write a formal literary essay under exam conditions?

Individual Oral (IO)
Paper 1: Guided literary analysis
Paper 2: Comparative essay (Correct answer)
Higher Level Essay (HLE)

Correct answer: Paper 2: Comparative essay

Paper 2 requires students to write a comparative essay on two of the works studied in Part 3, responding to one of four essay questions.

Question 42: What is the function of myelin sheaths around axons?

To anchor the neuron to surrounding tissue
To insulate the axon and increase the speed of nerve impulse conduction (Correct answer)
To produce neurotransmitters for synaptic transmission
To supply glucose directly to the axon terminal

Correct answer: To insulate the axon and increase the speed of nerve impulse conduction

Myelin sheaths electrically insulate the axon and force action potentials to jump between Nodes of Ranvier (saltatory conduction), greatly increasing transmission speed.

Question 43: What does 'academic honesty' require of a student when they paraphrase a source in the Reflective Project?

No citation is needed because the student rephrased the idea
The source must be quoted directly instead of paraphrased
Only a footnote, not an in-text citation, is necessary
A citation is required because the idea originated with someone else (Correct answer)

Correct answer: A citation is required because the idea originated with someone else

IB academic integrity standards require citation whenever a student uses another person's ideas, whether quoted or paraphrased.

Question 44: How many minutes does it take a car traveling at 200 km/h to cover 60 km?

22 minutes
20 minutes
18 minutes (Correct answer)
3 1/3 hours

Correct answer: 18 minutes

To calculate the time taken, use the formula Time = Distance / Speed. Here, the distance is 60 km and the speed is 200 km/h, so Time = 60 km / 200 km/h = 0.3 hours. To convert this to minutes, multiply by 60 minutes/hour: 0.3 hours * 60 minutes/hour = 18 minutes.

Question 45: In IB English Language and Literature, a 'text type' refers to:

The font style used in a literary work
The language in which a text was originally written
The era in which a text was produced
A category of text defined by its purpose, audience, and conventions (e.g., speech, essay, advertisement) (Correct answer)

Correct answer: A category of text defined by its purpose, audience, and conventions (e.g., speech, essay, advertisement)

Text type classifies texts by their communicative purpose and formal conventions, such as a political speech, a blog post, or a newspaper editorial.

Question 46: A key objective of the Theory of Knowledge course is to prompt students to consider the ethical dimensions of knowledge. Which scenario best reflects an exploration of the TOK concept of 'Responsibility'?

A mathematician proving a new theorem based purely on logical deduction.
A historian carefully citing all sources to ensure academic honesty.
A computer scientist developing an AI algorithm without considering its potential for biased outcomes. (Correct answer)
A student memorizing a timeline of historical events to pass an exam.

Correct answer: A computer scientist developing an AI algorithm without considering its potential for biased outcomes.

The concept of 'Responsibility' in TOK involves the ethical implications of producing and using knowledge. Developing an AI without considering its societal impact is a failure of this responsibility. The other options relate more to accuracy, justification, or academic integrity, but this option directly addresses the consequences of knowledge creation.

Question 47: The angle between vectors a = (1, 0, 1) and b = (1, 1, 0) is:

90°
30°
45°
60° (Correct answer)

Correct answer: 60°

cos θ = (a·b)/(|a||b|) = 1/(√2·√2) = 1/2, so θ = 60°.

Question 48: Which of the following is a vector quantity?

Temperature
Mass
Speed
Displacement (Correct answer)

Correct answer: Displacement

Displacement is a vector quantity because it has both magnitude and direction, unlike speed, mass, and temperature which are scalars.

Question 49: What is the word limit for the IB History Extended Essay?

2,200 words
6,000 words
4,000 words (Correct answer)
3,500 words

Correct answer: 4,000 words

The IB Extended Essay in History has a maximum word limit of 4,000 words.

Question 50: In IB HL History, Paper 3 covers which regional option?

The 20th century world history topics
Source-based prescribed subjects
A regional option in depth (Correct answer)
A global thematic topic

Correct answer: A regional option in depth

Paper 3 is exclusively for HL students and covers a chosen regional option in greater depth, requiring three essay responses.

Question 51: A researcher is looking into how the qualities of eye color and hair color, which are encoded by two distinct genes, are inherited. Green eyes are subordinate to brown eyes, while brunette hair is preferred to blond hair. What is the odds that a child will be born with green eyes and blond hair if parent A is homozygous for both brown eyes and brunette hair and parent B is heterozygous for both brown eye color and brunette hair?

20%
0% (Correct answer)
25%
15%

Correct answer: 0%

Let brown eyes (B) be dominant to green eyes (b), and brunette hair (H) be dominant to blond hair (h). Parent A is homozygous for both dominant traits (BBHH), meaning they can only pass on 'B' and 'H' alleles. For a child to have green eyes (bb) and blond hair (hh), they must inherit 'b' and 'h' alleles from both parents. Since Parent A cannot contribute 'b' or 'h' alleles, the probability of having a child with green eyes and blond hair is 0%.

Question 52: A researcher deliberately keeps her national background hidden when publishing findings in a cross-cultural psychology study. This addresses which TOK concern?

Potential bias arising from the knower's perspective influencing the interpretation of data (Correct answer)
The role of peer review in validating knowledge claims
The distinction between analytic and synthetic statements
The problem of induction affecting generalizability

Correct answer: Potential bias arising from the knower's perspective influencing the interpretation of data

By hiding national background, the researcher tries to reduce the influence of her personal perspective on how readers evaluate the findings.

Question 53: Which scenario BEST demonstrates that a student has successfully connected their Reflective Project to the IB CP service learning experience?

The student reflects on how service learning challenged their assumptions about the ethical issue (Correct answer)
The student writes about service learning in a separate appendix
The student counts service hours as a substitute for research hours
The student mentions community service in the introduction as a formality

Correct answer: The student reflects on how service learning challenged their assumptions about the ethical issue

Genuine integration means the service learning experience actively informed the student's ethical thinking, not just appearing as a passing mention.

Question 54: A university states it requires 'a minimum of 5 in HL Chemistry' for its pre-med program. What does this mean practically?

The student can substitute SL Chemistry with a higher grade
The student must take Chemistry at HL and score at least a 5 (Correct answer)
The student must also score 5 in SL Biology
The student needs a 5 in any Chemistry course

Correct answer: The student must take Chemistry at HL and score at least a 5

The requirement specifies both the level (HL) and the minimum grade (5), meaning SL Chemistry of any grade would not satisfy this prerequisite.

Question 55: What distinguishes a competitive inhibitor from a non-competitive inhibitor of an enzyme?

Competitive inhibitors permanently deactivate the enzyme; non-competitive inhibitors do not
Competitive inhibitors only act at high pH; non-competitive inhibitors act at low pH
Competitive inhibitors bind the active site; non-competitive inhibitors bind an allosteric site (Correct answer)
Competitive inhibitors lower Vmax; non-competitive inhibitors raise Km

Correct answer: Competitive inhibitors bind the active site; non-competitive inhibitors bind an allosteric site

A competitive inhibitor mimics the substrate and binds the active site, while a non-competitive inhibitor binds a separate allosteric site and changes the enzyme's shape.

Question 56: In the IB DP, which group satisfies the language requirement most directly concerned with acquiring a new language for communication?

Group 2 – Language Acquisition
Group 3 – Individuals and Societies
Group 5 – Mathematics
Group 1 – Studies in Language and Literature (Correct answer)

Correct answer: Group 1 – Studies in Language and Literature

Group 2, Language Acquisition, is specifically designed for students learning a language for communicative and intercultural purposes.

Question 57: When a student revises their Reflective Project after feedback from their supervisor, what IB CP core principle does this process best demonstrate?

Reflective (Correct answer)
Principled
Caring
Risk-taking

Correct answer: Reflective

Acting on feedback by reconsidering and improving work is a hallmark of the IB Learner Profile attribute 'Reflective'.

Question 58: In the Natural Sciences area of knowledge, the concept of 'falsifiability' is central because it:

Allows a hypothesis to be proven correct through observation
Guarantees that a theory is true once tested
Ensures experiments are repeatable without variation
Provides a criterion that distinguishes scientific claims from non-scientific ones (Correct answer)

Correct answer: Provides a criterion that distinguishes scientific claims from non-scientific ones

Karl Popper proposed falsifiability as the demarcation criterion: a claim is scientific only if it can in principle be shown false.

Question 59: Which literary concept is most central to the 'Intertextuality: connecting texts' area of exploration in IB English Language and Literature?

The way texts reference, echo, or respond to other texts (Correct answer)
The grammatical complexity of a text's language
The publishing history of a literary work
The biographical context of the author's life

Correct answer: The way texts reference, echo, or respond to other texts

Intertextuality explores how texts are shaped by and in conversation with other texts, through allusion, parody, adaptation, or shared themes.

Question 60: What value of gravitational field strength (g) is given in the IB Physics data booklet?

9.81 m/s² (Correct answer)
9.0 m/s²
10.0 m/s²
9.8 m/s²

Correct answer: 9.81 m/s²

The IB Physics data booklet specifies g = 9.81 m/s² as the standard acceleration due to gravity at Earth's surface.

IB Diploma Programme (IBDP) Exam

The IB Diploma Programme exam assesses students across six subject groups and the DP Core, covering languages, sciences, mathematics, humanities, arts, Theory of Knowledge, the Extended Essay, and Creativity, Activity, Service.

Questions

90 min

Time Limit

60%

To Pass

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