A rectangular piece of paper with a pink front and black back has side lengths in direct proportion to the numbers 3 and 5.
When this paper is folded along the dashed line passing through vertex B as shown in the figure, vertex C comes onto side AD.
Accordingly, what is the ratio of the area of the black triangle formed in Figure 2 to the area of the pink rectangle in Figure 1?
A) $\frac{1}{18}$
B) $\frac{5}{18}$
C) $\frac{5}{9}$
D) $\frac{3}{8}$
E) $\frac{5}{8}$

An 8-program washing machine has 8 lines fixed around its circular button, numbered 1 to 8 as shown in the figure. The distance between any two lines with consecutive numbers is equal, and when the button is turned, whichever line the arrow on it points to, the program corresponding to that line is selected.
When program 7 is selected and the button is turned clockwise by $150^{\circ}$, program 1 is selected.
Accordingly, when program 1 is selected and the button is turned clockwise by $140^{\circ}$, which program is selected?
A) 3
B) 4
C) 5
D) 6
E) 7

The circumference of a circle with radius r is $\text{C} = 2\pi r$, and the area of a circle with radius r is calculated with the formula $A = \pi r^{2}$.
In the figure; a rope that completely wraps around a semicircle with radius R once is unwound and divided into three equal parts. One of these equal parts completely wraps around a semicircle with radius r once.
Accordingly, what is the ratio of the area of the semicircle with radius $R$ to the area of the semicircle with radius $\mathbf{r}$?
A) 3
B) 4
C) 6
D) 8
E) 9

The measure of an interior angle of a regular n-sided polygon is calculated as $\frac{(n-2) \cdot 180^{\circ}}{n}$.
A hexagonal piece of paper with red-colored side lengths of 1 unit and black-colored side lengths of x units is cut along two lines parallel to the red-colored sides as shown in the figure to obtain a regular hexagon with a side length of 3 units.
According to this, what is x?
A) 3.5
B) 4
C) 4.5
D) 5
E) 5.5

The total surface area of a rectangular prism with edge lengths $a$, $b$ and $c$ is
$$\mathrm{A} = 2(\mathrm{a} \cdot \mathrm{b} + \mathrm{a} \cdot \mathrm{c} + \mathrm{b} \cdot \mathrm{c})$$
calculated with the formula.
Hakan glues together five identical wooden blocks in the shape of a rectangular prism with edge lengths 2 units, 2 units, and 4 units as shown in the figure to create the letter H.
Accordingly, what is the surface area of the resulting shape in square units?
A) 160
B) 168
C) 176
D) 184
E) 192

The volume of a rectangular prism equals the product of its base area and height.
Nihat wants to place tea boxes in the shape of a rectangular prism with dimensions 2 units, 3 units, and 4 units, which are on a shelf, into an empty cubic box in such a way that there is no space left on the bottom of the box and the boxes do not overlap.
Nihat calculates that if he places these boxes with heights of 2 units, 8 boxes will remain on the shelf, and if he places them with heights of 3 units, 2 boxes will remain on the shelf.
Accordingly, what is the total volume of the boxes initially on the shelf in cubic units?
A) 360
B) 432
C) 480
D) 576
E) 600

The red needle on the equally spaced radio frequency adjustment indicator of a radio shows the frequency of the radio being tuned.
Accordingly, which of the following is the radio frequency shown by the red needle of the radio in the figure?
A) 94.2
B) 94.8
C) 95.2
D) 95.4

When the numbers $-4, -1, 2$ and $8$ are placed in the boxes above, with each box containing a different number, which of the following cannot be the result of the operation formed?
A) $-10$
B) $-4$
C) $-1$
D) $2$
E) $8$

An ATM machine provides the requested amount of money using the minimum number of 5 TL, 10 TL, 20 TL, 50 TL, and 100 TL banknotes. With sufficient quantities of each banknote available, Ahmet withdraws 495 TL, Buse withdraws 265 TL, and Cansu withdraws 550 TL from this ATM.
If the number of banknotes given by the ATM to Ahmet, Buse, and Cansu are $\mathbf{P}_{\mathbf{A}}, \mathbf{P}_{\mathbf{B}}$ and $\mathbf{P}_{\mathbf{C}}$ respectively, which of the following rankings is correct?
A) $\mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{C}}$
B) $\mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{B}}$
C) $\mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{C}}$
D) $\mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{A}}$
E) $\mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{A}}$

Beyza weighs a water glass using a kitchen scale first when empty, then completely filled with water, and finally with some water in it. The results of these weighing operations in grams are shown below.
Accordingly, what fraction of the glass is full in the last weighing operation?
A) $\frac{1}{2}$ B) $\frac{2}{3}$ C) $\frac{3}{5}$ D) $\frac{4}{7}$ E) $\frac{5}{8}$

A customer going to the checkout to purchase selected items at a store sees the following display on the cashier's screen showing the quantity and unit price information of all products.
A customer who gave 10 TL to the cashier for these products will receive how much change in TL?
A) 0.2 B) 0.4 C) 0.8 D) 1 E) 1.2

Microscopes working with two lenses show the image of objects magnified by the product of the magnification ratios of the lenses.
For example, a microscope with two lenses, one with a magnification ratio of 5 times and the other with a magnification ratio of 20 times, shows the image of the object being examined 100 times larger.
An object with size $12.5 \times 10^{-3}$ mm appears how many mm in a microscope with two lenses with magnification ratios of 4 times and 40 times?
A) 0.1 B) 0.2 C) 1 D) 2 E) 10

A project has been organized in 11 cities to increase the number of schools in cities. Each of these 11 cities has 12 districts included in the project. In each district, 13 schools with 2 floors, each floor having 7 classrooms, have been built.
Accordingly, what is the total number of classrooms built under this project?
A) $\frac{13!}{10!}$ B) $\frac{14!}{9!}$ C) $\frac{14!}{10!}$ D) $\frac{15!}{9!}$ E) $\frac{15!}{10!}$

Between each pair of consecutive floors in an apartment building, there is an equal number of staircase steps. Arif, Berk, and Can, who live on different floors of this apartment building, have the following information about the floors they live on.
- The total number of steps between the floor where Arif lives and the floor where Berk lives is odd. - The total number of steps between the floor where Berk lives and the floor where Can lives is even.
Accordingly, which of the following could be the floor numbers where Arif, Berk, and Can live?

At a coffee shop, the prices of 400 milliliter beverages created using coffee, hot water, and milk components are calculated by adding the prices of each 100 milliliter component separately. The prices and components of three beverages from this coffee shop are shown in the figure above.
Given that the components of the beverage ordered by a customer are as shown in the figure, how much did this customer pay in TL for this beverage?
A) 11 B) 11.5 C) 12 D) 12.5 E) 13

Using the elements of sets $A$ and $B$, each with 9 elements and consisting of letters,
- soldier, - painter, - academic
two of these words can be written with the elements of the $A \cap B$ set, and the other can be written with the elements of the $A \cup B$ set.
Accordingly, which of the following cannot definitely be written with the letters in set $A$?
A) poet B) doctor C) clerk D) artist E) secretary

A painter writes the year in which he completed each painting in the lower right corner of that painting. A painter who wants to exhibit three paintings he made in 2021 is given the following propositions regarding how these paintings are hung on the walls in the exhibition area:
p: Every painting on the wall is hung upside down. q: Every painting has at least one person in it. r: Every painting is rectangular in shape.
Given that the proposition $(p \vee q)' \wedge r$ is true, which of the following could be the appearance of these three paintings by the painter when hung on the wall in the exhibition area?

$AAB$ and $ABA$ are three-digit natural numbers that are completely divisible by 9, and one of these numbers is completely divisible by 5 while the other is completely divisible by 12.
Accordingly, what is the sum $A + B$?
A) 7 B) 8 C) 9 D) 10 E) 11

Let $n$ be a natural number such that
$$\frac{10^n - 22}{3}$$
is a natural number whose digit sum is 44.
Accordingly, what is n?
A) 13 B) 14 C) 15 D) 16 E) 17

Ahmet organizes the achievement comprehension test files prepared for his mathematics class by topic and files them on his computer. According to Ahmet's filing method, inside the main folder named Mathematics there are 5 folders, inside each folder there are $n$ subfolders, inside each subfolder there are $p$ test files, and each test contains 12 questions.
Ahmet deleted one of the subfolders inside the Probability folder along with its contents because he solved all the tests in that subfolder.
How many questions are in the Mathematics main folder in the final state?
A) $48 \cdot n \cdot p$ B) $n \cdot (60 \cdot p - 1)$ C) $60 \cdot p \cdot (n - 1)$ D) $12 \cdot p \cdot (5 \cdot n - 1)$ E) $12 \cdot p \cdot (5 \cdot n - 1)$

While reading information about a vase he saw in a museum he visited in 2020, Faruk learned that the year the vase was found was the same as the year he was born, and that the vase was 300 years old when it was found. He also calculated that 39 times his own age equals the year the vase was made.
Accordingly, how old is Faruk in 2020?
A) 41 B) 42 C) 43 D) 44 E) 45

In a computer program, after the graphs of functions $f ( x )$ and $f ^ { -1 } ( x )$ are drawn, the coordinate axes are deleted and a grid consisting of equal squares is placed in the background, obtaining the following image.
(Figure given in the original paper.)
Accordingly, what is the sum $a + b$? (Referring to the related question context.)

A two-digit natural number written using the digits 1, 4, or 7 is called a straight-straight number if the number obtained from the sum of its digits also consists of the digits 1, 4, or 7.
Accordingly, how many straight-straight numbers are there?
A) 1 B) 2 C) 3 D) 4 E) 5

A vehicle moving at constant speed in the same direction on a circular track passes point B
- for the 3rd time 3 minutes after starting from point A, - for the 7th time 8 minutes after starting from point A.
Accordingly, how many seconds after starting from point A does this vehicle pass point B for the first time?
A) 30 B) 35 C) 40 D) 45 E) 50

A customer who wants to order pizzas selected from a pizza shop's website encounters a message on the payment screen. After this message, the same customer orders through the mobile application and pays 15\% less than the total amount he would have paid if he had ordered from the website.
Accordingly, what is the total amount the customer paid for the pizzas in the final state in TL?
A) 47 B) 48 C) 49 D) 50 E) 51