turkey-yks

Papers (30)
2025
yks-ayt 36 yks-tyt 7
2024
yks-ayt 34 yks-tyt 7
2023
yks-ayt 24 yks-tyt 38
2021
yks-ayt 36 yks-tyt 13
2020
yks-ayt 35 yks-tyt 36
2019
yks-ayt 39 yks-tyt 9
2018
yks-ayt 39 yks-tyt 8
2017
lys1-math 56 ygs 18
2016
lys1-math 49 ygs 13
2015
lys1-math 50 ygs 13
2014
lys1-math 50 ygs 17
2013
lys1-math 50 ygs 25
2012
lys1-math 46 ygs 17
2011
lys1-math 49 ygs 19
2010
lys1-math 50 ygs 28
2018 yks-tyt

8 maths questions

Q8 Inequalities Absolute Value Inequality View
A weather forecaster made the following statement during a live broadcast on Sunday evening.
"In our city where the temperature has been 5 degrees throughout this week, the weather will suddenly warm up starting tomorrow and winter will give way to spring-like weather. On Monday afternoon, the air temperature throughout the city will have increased by 6 to 10 degrees compared to the previous day."
Based on this information, which of the following inequalities expresses the range of values that the temperature in the city could take on Monday afternoon?
A) $|x - 13| \leq 2$
B) $|x - 10| \leq 6$
C) $|x - 6| \leq 5$
D) $|x - 1| \leq 6$
E) $|x - 11| \leq 2$
Q13 Principle of Inclusion/Exclusion View
In the Venn diagram below
  • Set A of names starting with the letter A,
  • Set N of names ending with the letter N,
  • Set B of 5-letter names

are shown.
Accordingly, $$\mathrm{K} = \{\mathrm{AÇELYA}, \mathrm{AHMET}, \mathrm{AYSUN}, \mathrm{BEREN}, \mathrm{KENAN}, \mathrm{NERMIN}\}$$
how many elements of the set are elements of the set represented by the shaded regions in the figure?
A) 1
B) 2
C) 3
D) 4
E) 5
Q14 Curve Sketching Limit Reading from Graph View
In the rectangular coordinate plane, the graphs of functions $f$, $g$, and $h$ are given in the figure.
Accordingly, for a real number $a$ satisfying the condition $0 < a < 2$
I. When $f(a) < g(a)$, then $g(a) < h(a)$ holds. II. When $g(a) < h(a)$, then $h(a) < f(a)$ holds. III. When $h(a) < f(a)$, then $f(a) < g(a)$ holds.
Which of the following statements are true?
A) Only I
B) Only II
C) Only III
D) I and II
E) I and III
Q15 Factor & Remainder Theorem Remainder Theorem with Composed or Shifted Arguments View
Let $P(x)$ be a polynomial. A number $a$ satisfying the equation $P(a) = 0$ is called a root of this polynomial. For polynomials $P(x)$ and $R(x)$
$$\begin{aligned} &\mathrm{P}(\mathrm{x}) = \mathrm{x}^{2} - 1 \\ &\mathrm{R}(\mathrm{x}) = \mathrm{P}(\mathrm{P}(\mathrm{x})) \end{aligned}$$
the following equations are given.
Accordingly,
I. $-1$ II. $0$ III. $1$
which of these numbers are roots of the polynomial $\mathbf{R}(\mathbf{x})$?
A) Only I
B) Only II
C) Only III
D) I and III
E) II and III
Q17 Measures of Location and Spread View
In a data group, when the numbers are arranged from smallest to largest, if the number of data is odd, the number in the middle is called the median of the data group, if the number of data is even, the arithmetic mean of the two middle numbers is called the median, and the number that appears most frequently in the data group is called the mode (peak value).
Consisting of integers and arranged from smallest to largest
$$6, x, 10, y, 14, z, 23$$
in the data group, only two values are equal to each other.
Given that the mode, median, and arithmetic mean values of this data group are equal to each other, what is the value of $\mathbf{z}$?
A) 22
B) 21
C) 18
D) 16
E) 15
Q25 Arithmetic Sequences and Series Compute Partial Sum of an Arithmetic Sequence View
Filiz creates cup towers by placing identical cardboard cups inside each other. The distance between the bases of every two consecutive cups is equal in all the cup towers she creates. Then, she places these towers on a table and measures their heights.
Filiz observes that the sum of the heights of two towers with 6 and 9 cups equals the height of the tower with 18 cups.
Accordingly, to what height of a cup tower is the sum of the heights of two towers with 8 and 12 cups equal?
A) 23
B) 24
C) 26
D) 27
E) 29
Q26 Principle of Inclusion/Exclusion View
For each of the 25 guests attending an opening, one glass each of mandarin juice, pomegranate juice, and orange juice was prepared and served to the guests. The following are known about these beverages served.
  • All guests took at least one type of beverage.
  • No guest took more than one glass of the same type of beverage.
  • No guest took exactly two types of beverages.

At the end of the opening, it was determined that 7 glasses of mandarin juice, 8 glasses of pomegranate juice, and 9 glasses of orange juice were not taken.
Accordingly, how many guests at this opening took all three types of beverages?
A) 7
B) 9
C) 11
D) 13
E) 15
Q40 Indefinite & Definite Integrals Definite Integral Evaluation (Computational) View
The volume of a right circular cylinder with radius $r$ and height $h$ is calculated using the formula $\mathrm{V} = \pi r^{2} \mathrm{~h}$.
Two right circular cylinders with equal heights, empty interiors, and parallel bases are nested inside each other, with two faucets on top. One of these faucets fills the inner cylinder, while the other fills the region between the cylinders, with the same amount of water per unit time.
The faucets are opened simultaneously and closed when the inner cylinder is completely filled. In the final state, the height of the water in the inner cylinder is 4 times the height of the water in the region between the cylinders.
Accordingly, what is the ratio of the radius of the outer cylinder to the radius of the inner cylinder?
A) $\sqrt{3}$
B) $\sqrt{5}$
C) $\sqrt{7}$
D) 2
E) 3