A team is asked to improve its communication, but its members have not decided what would count as improvement. Which description best fits this problem?
1 Representing Problems Online Quiz Questions
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A group has been told to improve its communication but has not defined what improvement means. The problem is ill-defined even if the group can already imagine some possible actions.
- A
True
- B
False
In a problem representation, what term names the description of what is true at the start?
In a study plan, reading, making notes, and self-testing are available .
A student wants to finish three chapters by Friday and can use reading or self-testing to prepare. Class and sleep limit the hours available for studying. What role do class and sleep play in the problem representation?
- A
An operator
- B
The goal state
- C
A constraint
- D
The initial state
A student has three unread chapters and wants to be ready to answer questions on all three by Friday. Reading and self-testing are possible actions, while class and sleep limit study time. Select every statement that correctly classifies part of this problem representation.
- A
Three chapters remain unread: the initial state.
- B
Reading: the goal state.
- C
Be prepared to answer questions on all three chapters by Friday: the goal state.
- D
Reading and self-testing: available actions.
- E
A preference for studying in the morning: necessarily an externally imposed constraint.
- F
Class and sleep limit the available study hours: constraints.
The set of possible states and paths a solver can consider is called the .
A student wants to be prepared to answer questions on all three remaining chapters by Friday. What term names this desired outcome in the student's problem representation?
In the nine-dot problem, a solver realizes that the instructions do not require the lines to stay inside the square formed by the dots. Which description best explains this change?
- A
The solver has changed the goal from connecting the dots to drawing a square.
- B
The solver has revised the representation by questioning an assumed boundary.
- C
The solver has removed a genuine rule from the task.
- D
The solver has changed the initial state.
If a solver finds a new way to represent a problem, that change by itself guarantees that the solver will find and carry out a solution.
- A
True
- B
False
A solver's progress has stalled. Which actions could help the solver reconsider the problem representation without pretending that genuine constraints do not exist? Select all that apply.
- A
Restate what would count as reaching the goal.
- B
Treat every restriction the solver has assumed as a genuine rule.
- C
List the actual rules and check which other restrictions are only assumptions.
- D
Ignore genuine constraints so that more outcomes seem possible.
- E
Draw or describe the problem in another form.
A student has three chapters to prepare by Friday. Reading and self-testing are available actions, but class and sleep limit study time. Which plan is best described as a path toward the goal that respects the stated constraints?
- A
Read all three chapters in one uninterrupted session, even if that conflicts with class and sleep.
- B
Replace the Friday goal with the goal of studying whenever convenient.
- C
Schedule reading and self-testing in available study periods before Friday, while allowing for class and sleep.
- D
Assume the student can ignore the limited study hours because the goal is important.
A student has two unfinished project tasks and must submit the project by Friday. The student can complete tasks and make a schedule, but assumes the work must be done in one long session. Describe the initial state, goal state, available operators, and genuine constraint. Then explain how questioning the assumed restriction could affect the problem space and why this would not guarantee success.
A student wants to be ready for a quiz by Friday. They have two chapters left to read and can read, take notes, or self-test. Which detail describes the student's initial state?
- A
The student is ready to answer questions on both chapters.
- B
The student has two chapters left to read.
- C
The student must finish by Friday.
- D
The student can read, take notes, or self-test.
A student wants to prepare for an exam and can review notes, solve practice problems, or ask a study partner questions. Which part of the problem representation do these available actions illustrate?
- A
The current amount of unread material
- B
The level of preparation the student wants to achieve
- C
The actions the student can take to prepare
- D
The deadline for completing the preparation
What term describes the possible states and paths a solver can consider while working toward a solution?
Which situation is most clearly a well-defined problem?
- A
Choosing what it means for a team’s communication to improve
- B
Finding a route through a maze with a marked start and finish
- C
Deciding which of several personal goals matters most
- D
Determining how to make a workplace feel more welcoming
True or false: If a solver changes how a problem is represented, they are guaranteed to find and carry out a solution.
- A
True
- B
False
A student must submit work by Friday but believes studying has to happen in one uninterrupted block. How should these two limits be classified?
- A
Both the deadline and the long-block rule are necessarily external constraints.
- B
The deadline is an assumption, while the long-block rule is an external constraint.
- C
The deadline is an external constraint, while the long-block rule may be an assumed constraint.
- D
Neither detail can affect which study actions are considered.
What term describes revising how a problem is understood so that actions previously ruled out become thinkable?
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