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
2020 yks-tyt

11 maths questions

Q3 Indices and Surds Simplifying Surd Expressions View
When the numbers $\sqrt{5}, \sqrt{8}, \sqrt{12}, \sqrt{18}, \sqrt{20}$ and $\sqrt{27}$ are placed in the boxes below, with each box containing a different number, A, B, and C become whole numbers.
Accordingly, what is the sum $\mathrm{A} + \mathrm{B} + \mathrm{C}$?
A) 40
B) 44
C) 48
D) 52
E) 56
Q13 Curve Sketching Graphical Interpretation of Inverse or Composition View
In the rectangular coordinate plane, parts of the graphs of functions $f$ and $g$ defined on the closed interval $[0, 7]$ are given in the figure.
On the closed interval $[0, 7]$:
  • For 4 different integers $a$, $f(a) < g(a)$,
  • For 3 different integers $b$, $f(b) > g(b)$
It is known that. Accordingly, which of the following could be the missing parts of the graphs of functions $f$ and $g$?
A) [Graph A]
B) [Graph B]
C) [Graph C]
Q14 Composite & Inverse Functions Recover a Function from a Composition or Functional Equation View
For functions $f$ and $g$ defined on the set of real numbers $$\begin{aligned} & (f \circ g)(x) = x^2 + 3x + 1 \\ & (g \circ f)(x) = x^2 - x + 1 \end{aligned}$$ the equalities are satisfied. Given that $f(2) = 1$, what is the value of $f(3)$?
A) 5
B) 6
C) 7
D) 8
E) 9
Q15 Measures of Location and Spread View
The number obtained by dividing the sum of the numbers in a data group by the number of terms in the group is called the arithmetic mean of that data group.
In a group consisting of people of different ages, the youngest person is 1 year old and the oldest person is 92 years old.
When the youngest person in the group is excluded, the arithmetic mean of the ages of the others is 45, and when the oldest person in the group is excluded, the arithmetic mean of the ages of the others is 38.
Accordingly, how many people are in the group?
A) 12
B) 14
C) 16
D) 18
E) 20
Q26 Simultaneous equations View
\c{C}\i{}nar has a total of 78 pens, some of which are blue. He distributed these pens among three pen holders as follows.
  • The number of pens in the pen holders is directly proportional to 3, 4, and 6.
  • The number of blue pens in each pen holder is equal to each other.
  • In one of the pen holders, the ratio of the number of blue pens to the total number of pens in that holder is $\frac{1}{2}$; in another pen holder, this ratio is $\frac{1}{3}$.

Accordingly, how many blue pens does \c{C}\i{}nar have in total?
A) 18
B) 24
C) 27
D) 30
E) 36
Q27 Solving quadratics and applications Geometric or real-world application leading to a quadratic equation View
A group of students, each 7 years old, visited a botanical garden in 2015; another group of students, each 10 years old, visited in 2020. The official who guided the groups through the garden said about the same historical tree in the garden to both groups: ``The age of this tree is equal to the sum of all of your ages.''
From these two groups, if the number of students in the first group is 10 more than the number of students in the second group, how old is this tree in 2020?
A) 220
B) 230
C) 240
D) 250
E) 260
Q28 Permutations & Arrangements Linear Arrangement with Constraints View
Two students from each of three different schools will participate in a chess tournament. In the first round of the tournament, each student will be paired with a student who is not from their own school.
Accordingly, in how many different ways can the pairing in the first round be done?
A) 6
B) 8
C) 9
D) 12
E) 15
Q29 Probability Definitions Combinatorial Probability View
Kerem randomly selects 3 numbers using the buttons shown in the figure to create the password for his locker, such that each is in a different row and different column.
Accordingly, what is the probability that all of the numbers Kerem selected are odd?
A) $\frac{1}{2}$
B) $\frac{1}{3}$
C) (from figure)
D) $\frac{5}{9}$
E) $\frac{4}{27}$
Q37 Proof Determine an angle or side from a trigonometric identity/equation View
One interior angle of an $n$-sided regular polygon is calculated as $\frac{(n-2) \cdot 180^{\circ}}{n}$.
A triangular piece of paper is cut along the dashed lines as shown in the figure, 3 triangular pieces are removed, and a regular hexagon is obtained.
Given that the sum of the perimeters of the removed triangles is 36 units, what is the perimeter of the hexagon?
A) 18
B) 24
C) 30
D) 36
E) 42
Q38 Proof Computation of a Limit, Value, or Explicit Formula View
A wooden piece in the shape of a square right prism with a square base has a base edge length equal to 2 times its height. When a cube with an edge length equal to the height of the wooden piece is removed from inside this wooden piece, the surface area of the resulting shape in the final state is 8 square units more than the surface area of the wooden piece in the initial state.
Accordingly, what is the volume of the wooden piece in the initial state in cubic units?
A) 32
B) 80
C) 108
D) 144
E) 256
Q39 Proof Computation of a Limit, Value, or Explicit Formula View
The volume of a rectangular prism is equal to the product of its base area and height.
A closed glass container in the shape of a rectangular prism contains 360 cubic units of water. When the container is placed on a flat surface with different faces completely touching the surface, the height of the water is 2 units, 4 units, and 5 units respectively.
Accordingly, what is the volume of the container in cubic units?
A) 540
B) 720
C) 840
D) 960
E) 4080