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
2019 yks-tyt

9 maths questions

Q6 Straight Lines & Coordinate Geometry Point-to-Line Distance Computation View
In the figure below, three points indicating the positions of apple, pear, and walnut trees in a garden located between a main street and a side street that intersect perpendicularly with each other and have straight edges are shown.
Of the trees in this garden, the one closest to the main street is the apple tree, and the one farthest is the pear tree.
Accordingly, which of the following is the correct ordering from the tree closest to the side street to the one farthest?
A) Pear - Walnut - Apple
B) Pear - Apple - Walnut
C) Walnut - Pear - Apple
D) Apple - Pear - Walnut
E) Apple - Walnut - Pear
Q8 Inequalities Absolute Value Inequality View
A positive number A is shown on the number line as in the figure.
Then, on this number line; numbers whose distance from 0 is equal to half the distance of number A from 0 are marked.
If the distance from one of the marked numbers to number A is 6 units, what is the sum of the possible values of number A?
A) 15
B) 16
C) 18
D) 20
E) 21
Q13 Principle of Inclusion/Exclusion View
In the Venn diagram below
  • Set A represents integers divisible by 2 without remainder,
  • Set B represents integers divisible by 3 without remainder,
  • Set C represents integers divisible by 12 without remainder.

Accordingly,
I. 18
II. 24
III. 42
Which of these numbers is an element of the set represented by the shaded region?
A) Only I
B) Only II
C) I and II
Q14 Composite & Inverse Functions Evaluate Composition from Algebraic Definitions View
Let $a$ and $b$ be real numbers. The functions f and g are defined on the set of real numbers as
$$\begin{aligned} & f(x) = ax - b \\ & g(x) = bx - 2 \end{aligned}$$
Given that
$$\begin{aligned} & (f + g)(1) = f(1) \\ & (f + g)(2) = g(2) \end{aligned}$$
what is the product $\mathbf{a} \cdot \mathbf{b}$?
A) 2
B) 4
C) 6
D) 8
E) 10
Q15 Function Transformations View
In the rectangular coordinate plane, the graphs of functions $\mathrm{f}(\mathrm{x})$ and $\mathrm{g}(\mathrm{x})$ defined on the interval $[0,3]$ are given in the figure.
For a number $\mathrm{a} \in (0,1)$,
$$\begin{aligned} & \mathrm{b} = (f \circ g)(a) \\ & c = (g \circ f)(a) \end{aligned}$$
are determined.
Accordingly, which of the following is the correct ordering of the numbers a, b, and c?
A) a $<$ b $<$ c
B) a $<$ c $<$ b
C) b $<$ a $<$ c
D) b $<$ c $<$ a
E) c $<$ a $<$ b
Q16 Data representation View
In a data set where not all values repeat equally, each value that repeats most frequently is called the mode of this data set.
All 48 students in a class took a mathematics exam, and the numerical distribution of the scores these students received from this exam is given in the column graph below.
The modes of the data set formed by the scores from this exam were found, and the total number of students with scores equal to these values was 32. Additionally, the number of students in this class who scored above 70 on this exam was calculated as 38.
Accordingly, how many students in this class scored 65 on this exam?
A) 2
B) 3
C) 4
D) 5
E) 6
Q29 Permutations & Arrangements Distribution of Objects into Bins/Groups View
An airline has a total of 8 cabin crew members with different work experience for one morning and one evening flight to be performed.
Each of these employees will be on only one team, and two four-person flight teams will be formed from these employees such that the three most experienced employees are not on the same team.
Accordingly, in how many different ways can the morning and evening flight teams be formed?
A) 48
B) 54
C) 56
D) 60
E) 64
Q30 Probability Definitions Finite Equally-Likely Probability Computation View
Below are four cards with the numbers 6, 8, 10, and 12 written on them.
Seeing these cards, Yiğit makes the claim:
``If I randomly select two of the cards and add the numbers written on them, the probability that I find my age is $\frac{1}{3}$.''
Given that this claim is correct, what is Yiğit's age?
A) 14
B) 16
C) 18
D) 20
E) 22
Q38 Straight Lines & Coordinate Geometry Line Equation and Parametric Representation View
Emre marks a point on the x-axis of the Cartesian coordinate plane in a mathematics class activity. Then, by decreasing the x-coordinate of this marked point by 1 unit and increasing the y-coordinate by 3 units, he obtains a second point, and when he applies the same operation to the second point, he obtains a third point on the y-axis.
What is the sum of the coordinates of the fourth point that Emre will obtain by applying the same operation to the third point?
A) 4
B) 5
C) 6
D) 7
E) 8