A quarter circle shaped piece of paper with radius r units is cut along the line shown in Figure 1 that divides this quarter circle into two equal parts, and one piece is discarded. Then, the remaining piece is cut along the line shown in Figure 2 to obtain two pieces as shown in Figure 3. The upper surface of the larger piece obtained is painted blue, and the upper surface of the smaller piece is painted yellow.
Accordingly, what is the ratio of the blue painted area to the yellow painted area?
A) $\pi$ B) $\pi - 1$ C) $\pi - 2$ D) $\frac{\pi}{2}$

Three square-shaped tables with perimeters of 12, 16, and 28 units are given in Figure 1. These three tables are combined as shown in Figure 2 with no gaps between them to create a new table.
Accordingly, what is the perimeter length of the new table created in units?
A) 42 B) 46 C) 48 D) 52 E) 54

In the circle in Figure 1 with points A, B, C and D marked on it, chords BC and CD are perpendicular. By cutting this circle along chords AB, BC, CD and DA to obtain the pieces in Figure 2, the lengths of the red colored line segments connecting the midpoints of chords and arcs are sequentially 1, 5, 10 and x units.
Accordingly, what is x?
A) 14 B) 15 C) 16 D) 17 E) 18

An isosceles trapezoid-shaped cardboard with a height of 30 units has an upper base length of 20 units. When this cardboard is cut along a line parallel to the lower base, reducing the height by 12 units, it is observed that the lower base length decreases by 6 units.
Accordingly, what is the area of the new cardboard obtained in square units?
A) 363 B) 385 C) 441 D) 450 E) 464

Six points indicating the locations of a school, municipality, hospital, market, park and library are shown below on a map consisting of unit squares of a neighborhood. The following are known regarding the marked points on this map.

• The two points with the maximum distance between them belong to the hospital and library.
• The point indicating the municipality is equidistant from the points indicating the school and park.
• The point indicating the park is equidistant from the points indicating the market and library.

Accordingly, what is the ratio of the distance between the points indicating the municipality and school to the distance between the points indicating the market and library?
A) $\frac{1}{2}$ B) $\frac{3}{2}$ C) $\frac{5}{2}$ D) $\frac{2}{3}$ E) $\frac{4}{3}$

The interior angle measure of a regular n-sided polygon is calculated as $\frac{(n-2) \cdot 180^{\circ}}{n}$.
Six identical isosceles trapezoid-shaped mirrors, each with a perimeter of 28 units and shown in Figure 1, are combined as shown in Figure 2 with no gaps between them and all mirrors visible. In the resulting figure, the sum of the perimeter lengths of the red regular hexagon and the blue regular hexagon is 96 units.
Accordingly, what is the area of one of the mirrors used in square units?
A) $18\sqrt{3}$ B) $24\sqrt{3}$ C) $28\sqrt{3}$ D) $30\sqrt{3}$ E) $36\sqrt{3}$

A cubic piece of wood is cut parallel to one of its surfaces, obtaining two pieces of wood. The surface area of the larger piece is 2 times the surface area of the smaller piece.
Accordingly, the volume of the larger piece is how many times the volume of the smaller piece?
A) 2 B) 3 C) 4 D) 5 E) 6

An isosceles triangle shaped "Beware of Dog!" sign with equal length blue and red edges is hung on a rectangular garden wall with a nail at one corner as shown in the figure.
This sign, which can rotate around the nail, from the position shown in the figure

• if rotated $75^{\circ}$ clockwise, the black edge,
• if rotated $40^{\circ}$ counterclockwise, the blue edge,
• if rotated $x^{\circ}$ clockwise, the red edge

becomes parallel to the top edge of the wall for the first time.
Accordingly, what is x?
A) 5 B) 10 C) 15 D) 20 E) 25

Three cube-shaped boxes in red, blue, and yellow colors are stacked on top of each other and against a wall as shown in Figure 1.
The yellow area seen in Figure 2, which shows the top view of these boxes, is 16 square units, the blue area is 20 square units, and the red area is 45 square units.
Accordingly; by how many cubic units does the volume of the red box exceed the volume of the blue box?
A) 296 B) 386 C) 488 D) 513 E) 657

Zeynep, who wants to prepare a cargo package, takes a right prism shaped cardboard box with a square base and a lid on its top surface as shown in Figure 1.
After placing what she wants to send in the box, Zeynep uses two blue colored bands, each with a width of 1 unit, to close the box. These two bands are parallel to the edges of the prism as shown in Figure 2, and each completely wraps around two side faces and the top face, excluding the bottom face. The total area covered by the bands on the surfaces of the prism is 25 square units.
Given that the total area of the outer surface of this box is 182 square units, what is the volume of the box in cubic units?
A) 100 B) 108 C) 147 D) 192 E) 196

For the digits $A, D, T$ and $Y$
$$\begin{array}{r} \text{TYT} \\ \text{AYT} \\ + \quad \text{YDT} \\ \hline 2024 \end{array}$$
an addition operation is given.
$\text{TYT} < \text{AYT}$
According to this, what is the product $Y \cdot D \cdot T$?
A) 48 B) 64 C) 80 D) 96 E) 112

Using the rational numbers $\frac{1}{3}, \frac{1}{6}, \frac{6}{8}, \frac{8}{12}, \frac{9}{36}$, two groups with two elements each are formed such that the sum of the numbers in the same group equals 1.
According to this, which of these numbers is not included in the formed groups?
A) $\frac{1}{6}$
B) $\frac{1}{3}$
C) $\frac{6}{8}$
D) $\frac{8}{12}$
E) $\frac{9}{36}$

Let $a$ be a digit. If the remainder when $25!$ is divided by $23! - a$ is $60^{2}$, what is $a$?
A) 2 B) 3 C) 4 D) 5 E) 6

Let $x, y$ and $z$ be distinct prime numbers satisfying
$$x + y \cdot z = 21$$
What is the sum $x + y + z$?
A) 12 B) 14 C) 16 D) 18 E) 20

Which of the following is a real number that is not a rational number?
A) $\frac{1}{3}$
B) $-1$
C) $\sqrt{2}$
D) $\sqrt[3]{8}$
E) $i + 3$

Ali, Burcu, and Can estimated the number of pages of the school magazine to be published as 27, 35, and 39, respectively. Given that the absolute value of the difference between each estimate and the actual number of pages is different from one another, Burcu made the closest estimate to the actual number of pages, and Can made the farthest estimate.
Accordingly, what is the sum of the digits of the number of pages in the magazine?
A) 4
B) 5
C) 6
D) 7
E) 8

In the rectangular coordinate plane, the graphs of linear functions $f$, $g$ and $h$ are shown in the figure.
Regarding these functions, the following equalities are given:
$$\begin{aligned} & f(x-5) = g(x) \\ & h(x) = -f(x) \end{aligned}$$
Which of the following orderings is correct for the values $f(0)$, $g(0)$ and $h(0)$?
A) $g(0) < f(0) < h(0)$ B) $f(0) < h(0) < g(0)$ C) $f(0) < g(0) < h(0)$ D) $g(0) < h(0) < f(0)$ E) $h(0) < g(0) < f(0)$

There are two baskets, each containing an equal number of apples. When the apples from one basket are distributed to each student in classes A and B, 3 apples remain in that basket. When the apples from the other basket are distributed to each student in class B, there are not enough apples, so 2 students do not receive apples.
Accordingly
I. Each basket contains an odd number of apples.
II. The difference between the number of students in these two classes is an odd number.
III. The product of the number of students in these two classes is an even number.
Which of the following statements are definitely true?
A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III

Regarding sets $A$ and $B$
$$\begin{array}{ll} p & : s(B \backslash A) = 1 \\ q & : s(A) \geq s(B) \\ r & : s(A \cup B) = 8 \end{array}$$
For the propositions
$$\left(p \Rightarrow r^{\prime}\right) \vee (q \wedge p)$$
it is known that the proposition is false.
What is the number of elements in $A \cap B$?
A) 8 B) 7 C) 6 D) 5 E) 4

Which of the following thermometers, divided into equal sections with some values given in ${}^{\circ}\mathrm{C}$, shows a temperature of $15^{\circ}\mathrm{C}$?

Let $A$ and $B$ be two sets such that $A \cup B = \{1,2,3,4,5,6,7,8,9\}$ and
- the sum of two elements from the set $A \setminus B$ is 8, - the difference of two elements from the set $A \cap B$ is 8, - the product of two elements from the set $B \setminus A$ is 8.
If the sum of elements in set $A$ equals the sum of elements in set $B$, what is the sum of elements in $A \cap B$?
A) 10
B) 17
C) 18
D) 23
E) 25

Ayşe completed her booking for a flight trip by selecting the appropriate options from the following.
Seat Selection
a) Standard seat selection (free)
b) Preferred seat selection (paid)
Baggage Selection
a) Standard baggage allowance (free)
b) Extra baggage allowance (paid)
Meal Selection
a) I do not want a meal (free)
b) I want a meal (paid)
Regarding this information,
$p$: She paid for seat selection.
$q$: She did not pay for baggage selection.
$r$: She paid for meal selection.
propositions are given. Given that the proposition $(p' \wedge r) \wedge (p \vee q)$ is true, what are Ayşe's seat, baggage, and meal selections, respectively?
A) $a - a - a$
B) $b - b - b$
C) $a - b - a$
D) $b - b - a$
E) $a - a - b$

The appearance of a bingo card with two-digit numbers written on it is given in the figure.

$(11)$	$(42)$	$(23)$	$(A2)$
$(B4)$	$(3B)$	$(1A)$	$(51)$

The sum of the numbers in row 1 of this card equals the sum of the numbers in row 2.
Accordingly, what is the sum $AB + BA$?
A) 99
B) 110
C) 121
D) 132
E) 143

Let $A$, $B$ and $C$ be distinct digits such that digit $A$ is a whole number multiple of digit $B$, and digit $B$ is a whole number multiple of digit $C$.
If the three-digit natural number $ABC$ is divisible by 3, what is the product of its digits?
A) 8
B) 12
C) 18
D) 27
E) 32

If the square of the digit in the tens place of a three-digit natural number equals the number formed by writing the digits in the units and hundreds places side by side, then this natural number is called an adjacent number.
For example, 552 and 255 are adjacent numbers.
If $AB1$ and $BC4$ are adjacent numbers, what is the sum $A + B + C$?
A) 21
B) 22
C) 23
D) 24
E) 25