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
2025 yks-tyt

7 maths questions

Q1 Indices and Surds Numerical Arithmetic with Fractions and Decimals View
A tablet screen; when "large icons" is selected in the display settings is divided into 3 rows and 4 columns into identical compartments, and when "small icons" is selected, it is divided into 5 rows and 6 columns into identical compartments as shown in Figure 2. In both cases, at most one application icon is placed in each compartment.
When "large icons" is selected in the display settings, it is observed that the icons of all applications on the tablet are located in $\frac{2}{3}$ of the compartments on the screen.
If the display settings are changed to "small icons", in what fraction of the compartments on the screen will the icons of all applications on the tablet be located?
A) $\frac{1}{5}$ B) $\frac{1}{6}$ C) $\frac{3}{10}$ D) $\frac{4}{15}$ E) $\frac{7}{30}$
Q2 Indices and Surds Evaluating Expressions Using Index Laws View
While teaching the topic of exponents, Teacher Kerem stated that the expression $a^{b^{c}}$ cannot be written without parentheses in this way, because the expressions $a^{\left(b^{c}\right)}$ and $\left(a^{b}\right)^{c}$ can have different values, and explained this situation with an example.
Accordingly, which of the following could be the example given by Teacher Kerem?
A) $a = 1, b = 2, c = 3$ B) $a = 2, \quad b = 1, \quad c = 3$ C) $a = 2, \quad b = 2, \quad c = 2$ D) $a = 3, \quad b = 0, \quad c = 3$ E) $a = 3, \quad b = 2, \quad c = 1$
Q3 Indices and Surds Simplifying Surd Expressions View
In a page of a mathematics textbook shown partially below, the result of the 1st operation is 12 more than the result of the 2nd operation.
$a = 2 \quad b = $
For the real numbers $a$ and $b$ given above, find the result of the following operations.
1. operation: $a\sqrt{b} + \sqrt{b} = $ 2. operation: $a\sqrt{b} - \sqrt{b} = $ 3. operation: $a\sqrt{b} \times \sqrt{b} = $ 4. operation: $a\sqrt{b} \div \sqrt{b} = $
Accordingly, the result of the 3rd operation is equal to how many times the result of the 4th operation?
A) 9 B) 16 C) 24 D) 30 E) 36
Q4 Indices and Surds Numerical Arithmetic with Fractions and Decimals View
A mathematics teacher asked students to find the decimal representation of the number $\frac{13}{20}$. Sude, who found this representation correctly, accidentally swapped the tenths and hundredths digits when writing the number she found on the board.
Accordingly, the number Sude wrote on the board is equal to which of the following?
A) $\frac{5}{8}$ B) $\frac{9}{20}$ C) $\frac{14}{25}$ D) $\frac{23}{40}$ E) $\frac{27}{50}$
Q13 Curve Sketching Limit Reading from Graph View
In the rectangular coordinate plane, the graphs of $f$, $g$, and $h$ linear functions defined on the closed interval $[0,1]$ are given in the figure.
Let $a$ and $b$ be real numbers in the open interval $(0,1)$ and
$$f(1) = g(1)$$
$$f(a) = g(b) = h(b)$$
equalities are satisfied.
Accordingly, which of the following orderings is correct?
A) $f(a) < h(a) < g(a)$ B) $g(a) < f(a) < h(a)$ C) $g(a) < h(a) < f(a)$ D) $h(a) < f(a) < g(a)$ E) $h(a) < g(a) < f(a)$
Q29 Probability Definitions Combinatorial Counting (Non-Probability) View
Aras will complete all of the following activities on a Sunday: exercising, watching a movie, doing homework, doing household chores, and taking a bath. Aras does not start one activity before completing another. Aras must take a bath after exercising, and must complete his homework and household chores before watching a movie.
According to this, in how many different ways can Aras arrange these five activities?
A) 10 B) 15 C) 20 D) 25 E) 30
Q30 Probability Definitions Finite Equally-Likely Probability Computation View
Six friends, including Doğa and Duru, came to visit Defne's house. Defne randomly gave gifts to two of these friends.
According to this, what is the probability that Defne gave a gift to at least one of Doğa and Duru?
A) $\frac{2}{3}$ B) $\frac{3}{5}$ C) $\frac{4}{5}$ D) $\frac{8}{15}$ E) $\frac{11}{15}$