Computational Thinking And Algorithmic Foundations Mastery Exam Practice Tests

Question 1

A parking system charges a flat fee of €2.00 for the first hour and €1.50 for every subsequent hour or fraction thereof. If a vehicle enters at 08:00 and exits at 11:15, calculate the total fee $F$ using the formula $F = 2.00 + 1.50 	imes \lceil t - 1 ceil$ where $t$ is the total duration in hours. What is the total fee?

Accepted Answer

€6.50

Answer

€5.00

Answer

€8.00

Answer

€4.75

Question 2

A vending machine accepts coins and dispenses items. If the input $I$ is the cost of the item and the amount inserted, and the process $P$ is $Change = Inserted - Cost$, identify the output $O$ if $Inserted = 2.00$ and $Cost = 1.25$.

Accepted Answer

0.75

Question 3

When clarifying requirements for a Student Attendance System, which of the following questions are essential to define the 'Process' component of the IPO model?

Answer

How is the attendance status calculated based on entry and exit timestamps?

Answer

What is the logic to determine if a student is 'present' or 'late' based on a threshold time $T$?

Answer

What color should the user interface be?

Answer

Which brand of server hardware will be used?

Question 4

In the IPO model for a system calculating the average score of $n$ students where $S = \sum_{i=1}^{n} x_i$, the sum $S$ is considered an Input.

Accepted Answer

False

Answer

True

Question 5

A system processes a sequence of integers $x_1, x_2, ..., x_n$. The process is defined as $y = \frac{1}{n} \sum_{i=1}^{n} x_i$. If the inputs are $10, 20, 30$, what is the output $y$?

Accepted Answer

Option A

Answer

Option B

Answer

Option C

Answer

Option D

Question 6

In a parking system, if the entry time is $T_{in}$ and exit time is $T_{out}$, the duration is $D = T_{out} - T_{in}$. If $T_{in} = 9.5$ and $T_{out} = 14.25$, calculate $D$.

Accepted Answer

4.75

Question 7

A cinema ticket system calculates price $P$ as $P = B 	imes (1 - D)$, where $B$ is the base price and $D$ is the discount rate. A library system calculates late fees $L$ as $L = F 	imes T$, where $F$ is the daily fine and $T$ is the number of days overdue. If both systems are modeled as a function $f(x, y) = x \cdot y$, which logical pattern is shared between them?

Accepted Answer

Both systems utilize a multiplicative transformation of two input variables to determine a final output value.

Answer

Both systems rely on recursive conditional branching to determine the final cost.

Answer

Both systems require a logarithmic scale to handle the input variables.

Answer

Both systems are independent of the input variables $x$ and $y$.

Question 8

Consider a system that checks eligibility for a discount: $E = 1$ if $Age < 18$ or $Age > 65$, else $E = 0$. A second system checks if a book is overdue: $O = 1$ if $CurrentDate - DueDate > 0$, else $O = 0$. What is the common algorithmic pattern?

Accepted Answer

Both systems implement a binary classification based on a single boolean comparison.

Answer

Both systems require a matrix inversion to calculate the output.

Answer

Both systems utilize an exponential growth function to determine the state.

Answer

Both systems rely on a summation of infinite series.

Question 9

In a system managing $N$ users, the logic for processing a transaction depends on the user's status $S \in \{0, 1\}$. If $S=1$, the system applies a tax $T = 0.05 	imes V$. If $S=0$, $T = 0$. If a new system for parking fees uses the same logic where $S$ is the vehicle type, what is the shared pattern?

Accepted Answer

Conditional execution based on a discrete state variable.

Answer

Linear regression of the input variables.

Answer

Integration of the cost function over time.

Answer

Randomized selection of the tax rate.

Question 10

A database stores the following 10 fields for a student library system: [Student ID, Student Name, Student Address, Book ID, Borrow Date, Due Date, Student GPA, Student Major, Book Genre, Return Date]. Which 5 fields are essential for calculating the fine $F = \max(0, CurrentDate - DueDate) 	imes Rate$?

Answer

Student ID

Answer

Student Name

Answer

Student Address

Answer

Book ID

Answer

Borrow Date

Answer

Due Date

Answer

Student GPA

Answer

Student Major

Answer

Book Genre

Answer

Return Date

Question 11

In a database containing [Transaction ID, Amount, Timestamp, User ID, User IP Address, User Browser Version], removing 'User IP Address' and 'User Browser Version' is an example of data abstraction that preserves the essential information for calculating the total revenue $\sum Amount$.

Accepted Answer

True

Answer

False

Question 12

Given a set of data points for a flight booking system: [Passenger Name, Passport Number, Seat Number, Flight Number, Ticket Price, Meal Preference, Frequent Flyer Number]. If the goal is to calculate the total revenue of a flight, identify the single most essential data point from this list.

Accepted Answer

Ticket Price

Question 13

A sensor network records [Temperature, Humidity, Pressure, Battery Level, Signal Strength, Timestamp]. If the goal is to determine the average temperature $\bar{T} = \frac{1}{n} \sum_{i=1}^{n} T_i$, which fields are redundant?

Accepted Answer

Humidity, Pressure, Battery Level, Signal Strength

Answer

Temperature, Timestamp

Answer

Temperature, Humidity, Pressure

Answer

Battery Level, Signal Strength, Timestamp

Question 14

An algorithm calculates the area of a circle using $A = \pi r^2$. Which sequence of steps is logically correct?

Accepted Answer

C. Input radius $r$, Calculate $A = \pi r^2$, Output $A$

Answer

A. Output $A$, Input radius $r$, Calculate $A = \pi r^2$

Answer

B. Calculate $A = \pi r^2$, Input radius $r$, Output $A$

Answer

D. Input radius $r$, Output $A$, Calculate $A = \pi r^2$

Question 15

Given the sequence: 1. Set $x = 5$, 2. Set $y = x + 3$, 3. Set $x = y * 2$, 4. Output $x$. What is the final output?

Accepted Answer

16

Question 16

In an algorithm designed to calculate the sum of integers from $1$ to $n$, a loop structure is more efficient than writing $n$ individual addition statements.

Accepted Answer

True

Answer

False

Question 17

A system requires a PIN entry. If the variable $attempts$ starts at $3$ and the user enters an incorrect PIN, the algorithm performs $attempts = attempts - 1$. Which condition should terminate the loop?

Accepted Answer

B. $attempts = 0$ OR $PIN$ is correct

Answer

A. $attempts > 0$

Answer

C. $attempts = 3$

Answer

D. $PIN$ is incorrect

Question 18

Which of the following are considered 'Control Structures' in algorithm design?

Answer

If-Else statements

Answer

Constants

Answer

While loops

Answer

Variables

Answer

For loops

Question 19

An algorithm processes a list of $n$ items. If the algorithm performs $2$ operations for every item, express the total operations $T$ as a function of $n$.

Accepted Answer

T = 2n

Question 20

Consider an algorithm: 1. $x = 10$, 2. If $x > 5$ then $x = x + 2$ else $x = x - 2$, 3. Output $x$. What is the output?

Accepted Answer

C. 12

Answer

A. 8

Answer

B. 10

Answer

D. 5

Computational Thinking And Algorithmic Foundations Mastery Exam Practice Tests

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Computational Thinking and Algorithmic Foundations Mastery Exam

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