turkey-yks

Papers (30)
2025
yks-ayt 24 yks-tyt 4
2024
yks-ayt 31 yks-tyt 7
2023
yks-ayt 22 yks-tyt 10
2021
yks-ayt 31 yks-tyt 9
2020
yks-ayt 28 yks-tyt 11
2019
yks-ayt 35 yks-tyt 7
2018
yks-ayt 32 yks-tyt 6
2017
lys1-math 44 ygs 10
2016
lys1-math 47 ygs 13
2015
lys1-math 48 ygs 13
2014
lys1-math 48 ygs 17
2013
lys1-math 45 ygs 21
2012
lys1-math 44 ygs 16
2011
lys1-math 47 ygs 17
2010
lys1-math 50 ygs 18
2023 yks-tyt

10 maths questions

Q3 Arithmetic Sequences and Series Applied Geometric Model with Contextual Interpretation View
In a census conducted on January 1, 2015, a city with a population of 810,000 had population counts on January 1 each year from 2016 to 2023. In each of the first four years after 2015, the population increased by a ratio of $\frac{1}{10}$ compared to the previous year, and in each of the following four years, the population increased by a ratio of $\frac{1}{11}$ compared to the previous year.
Accordingly, what was the population of this city in the census conducted on January 1, 2023?
A) $2^{20}$ B) $3^{13}$ C) $5^{9}$ D) $6^{8}$ E) $10^{6}$
Q4 Indices and Surds Number-Theoretic Reasoning with Indices View
Let $A$ and $B$ be natural numbers. A square with side length $A\sqrt{B}$ units has an area of 720 square units.
Accordingly, which of the following cannot be the sum $A + B$?
A) 26 B) 49 C) 83 D) 127 E) 182
Q6 Inequalities Ordering and Sign Analysis from Inequality Constraints View
For real numbers $a, b$ and $c$,
$$a > a \cdot b > 2 \cdot a > a \cdot c$$
is known to hold.
Accordingly, which of the following could be the representation of the numbers $\mathbf{a, b}$ and $\mathbf{c}$ on the number line?
A) [number line A] B) [number line B] C) [number line C] D) [number line D] E) [number line E]
Q12 Composite & Inverse Functions Evaluate Composition from Algebraic Definitions View
Let $a$ be a positive real number. The functions f and g are defined on the set of real numbers as
$$\begin{aligned} & f(x) = x + a \\ & g(x) = ax + 1 \end{aligned}$$
Given that $(\mathbf{f} \cdot \mathbf{g})(\mathbf{1}) = (\mathbf{f} + \mathbf{g})(\mathbf{2})$, what is $\mathbf{g}(\mathbf{7})$?
A) 8 B) 15 C) 22 D) 29 E) 36
Q23 Arithmetic Sequences and Series Combinatorial Counting (Non-Probability) View
A painter displayed all of his paintings at his first exhibition and sold some of them. In all subsequent exhibitions, this painter displayed the paintings that were not sold at the previous exhibition together with new paintings he created.
The painter sold $\frac{3}{5}$ of the paintings he displayed at each exhibition. Also, for each exhibition after the first, he created as many new paintings as the number of paintings remaining from the previous exhibition.
Given that the painter sold 96 paintings at his 3rd exhibition, how many paintings did he display at his first exhibition?
A) 100 B) 150 C) 200 D) 250 E) 300
Q24 Probability Definitions Combinatorial Counting (Non-Probability) View
Aras divides all of his marbles into groups of 3 and obtains a two-digit natural number AB, and divides them into groups of 8 and obtains a two-digit natural number BA.
According to this, if Aras divides all the marbles he has into groups such that each group has an equal number of marbles, which of the following could be the number of groups he obtains?
A) 40 B) 48 C) 54 D) 56 E) 60
Q25 Data representation Combinatorial Counting (Non-Probability) View
Serkan's wardrobe contains three types of clothing: shirt ($G$), pants ($P$), and jacket (C). The numerical distribution of these clothes initially in the wardrobe is shown in the pie chart below.
Serkan takes a certain number of clothes from his wardrobe to dry cleaning. In the final situation, the numerical distribution of the clothes remaining in Serkan's wardrobe shown in the pie chart is the same as the initial one.
Given that Serkan initially had 5 jackets in his wardrobe and he took 1 of these jackets to dry cleaning, how many shirts are left in Serkan's wardrobe?
A) 8 B) 10 C) 15 D) 18 E) 20
Q29 Combinations & Selection Selection with Arithmetic or Divisibility Conditions View
In a course, the weekly lesson durations of 7 lessons, each with different lesson times, are given in the table below.
LessonDuration (hours)
Lesson 15
Lesson 24
Lesson 34
Lesson 45
Lesson 53
Lesson 65
Lesson 75

Aslı, who enrolled in this course, wants to take four different lessons such that the total weekly lesson duration is 17 hours.
Accordingly, in how many different ways can Aslı select the lessons she will take?
A) 8 B) 10 C) 12 D) 16 E) 18
Q30 Probability Definitions Finite Equally-Likely Probability Computation View
A stove consisting of 1 large, 2 medium, and 1 small compartment with 4 ignition buttons, each of which activates a different compartment, is shown in the figure below.
Since the directions next to the buttons have been erased, it is not known which button activates which compartment.
Accordingly, when all compartments are closed and two buttons are randomly pressed, what is the probability that one of the medium compartments and the small compartment will activate?
A) $\frac{1}{2}$ B) $\frac{1}{3}$ C) $\frac{2}{3}$ D) $\frac{1}{4}$ E) $\frac{1}{5}$
Q33 Sine and Cosine Rules Find a side length using the cosine rule View
In a triangle, one interior angle measure equals the average of the measures of the other two interior angles. The shortest and longest sides of this triangle are 10 and 16 units long, respectively.
Accordingly, what is the length of the third side of this triangle in units?
A) 11 B) 12 C) 13 D) 14 E) 15