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
2014 ygs

17 maths questions

Q3 Indices and Surds Evaluating Expressions Using Index Laws View
$6 ^ { - 3 } \left( 8 ^ { 3 } - 6 ^ { 3 } + 4 ^ { 3 } \right)$ What is the result of this operation?
A) $\frac { 1 } { 2 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 5 } { 3 }$
D) $\frac { 9 } { 4 }$
E) $\frac { 5 } { 6 }$
Q4 Laws of Logarithms Solve a Logarithmic Equation View
$\mathbf { x }$ is a real number and
$$\left( \frac { 1 } { 6 } \right) ^ { x } = \left( \frac { 4 } { 3 } \right) ^ { x + 1 }$$
Given this, what is $8 ^ { \mathbf { X } }$?
A) $\frac { 2 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 1 } { 8 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 2 } { 9 }$
Q5 Inequalities Ordering and Sign Analysis from Inequality Constraints View
For positive real numbers $x$ and $y$
$$\frac { x } { 8 } = \frac { y } { 12 } = \frac { 9 } { y - x }$$
Given this, what is the sum $x + y$?
A) 10
B) 15
C) 20
D) 25
E) 30
Q6 Solving quadratics and applications Simplifying a rational or algebraic expression and solving View
$a$ is a real number and
$$\left( 1 - a + a ^ { 2 } \right) \left( \frac { 1 } { a ^ { 2 } } + \frac { 1 } { a ^ { 3 } } \right) = 9$$
Given this, what is $a$?
A) $\frac { 1 } { 2 }$
B) $\frac { 3 } { 2 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 2 } { 3 }$
E) $\frac { 1 } { 4 }$
Q8 Solving quadratics and applications Evaluating an algebraic expression given a constraint View
Given that $a ^ { 2 } + a = 1$,
$$a ^ { 4 } - 2$$
Which of the following is the equivalent of this expression in terms of $a$?
A) $- a$
B) $- a + 2$
C) $- 2 a$
D) $- 2 a + 1$
E) $- 3 a$
Q9 Inequalities Ordering and Sign Analysis from Inequality Constraints View
Given that $| a | = 2 , | b | = 5$ and $| c | = 6$,
$$\begin{aligned} & \mathrm { c } < \mathrm { a } < \mathrm { b } \\ & \mathrm { a } \cdot \mathrm {~b} \cdot \mathrm { c } > 0 \end{aligned}$$
What is the sum $a + b + c$?
A) - 9
B) - 3
C) - 1
D) 1
E) 3
Q10 Indices and Surds Solving Equations Involving Surds View
Given that $x \neq - 1$ and
$$( x + 1 ) \sqrt { x - 1 } = \sqrt { 2 x + 2 }$$
What is $x$?
A) $\frac { 3 \sqrt { 3 } } { 2 }$
B) $\frac { 2 \sqrt { 3 } } { 3 }$
C) $\frac { 4 \sqrt { 2 } } { 3 }$
D) $\sqrt { 2 }$
E) $\sqrt { 3 }$
Q11 Solving quadratics and applications Geometric or real-world application leading to a quadratic equation View
$\frac { \mathrm { a } } { 5 } , \frac { \mathrm {~b} } { \mathrm { a } }$ and $\frac { \mathrm { a } } { 3 }$ are three consecutive integers arranged from smallest to largest.
Given this, what is the sum $\mathrm { a } + \mathrm { b }$?
A) 60
B) 70
C) 75
D) 80
E) 90
Q24 Arithmetic Sequences and Series Find Specific Term from Given Conditions View
The following information is known about the athletes participating in a race.
  • The jersey numbers of male athletes are consecutive odd numbers starting from 1.
  • The jersey numbers of female athletes are consecutive even numbers starting from 2.
  • The number of male athletes is 3 times the number of female athletes.
  • The largest jersey number given to male athletes is 83.

Given this, what is the largest jersey number given to female athletes?
A) 28
B) 30
C) 32
D) 34
E) 36
Q25 Arithmetic Sequences and Series Find Specific Term from Given Conditions View
The following information is known about the monthly salaries of Ahmet and Beyza, who started work on the same day at a workplace.
  • Ahmet's initial salary is 2500 TL.
  • Ahmet's salary increases by 50 TL every 4 months.
  • Beyza's salary increases by 100 TL every 6 months.

Given that their salaries are equal 6 years after they receive their first salaries, what is Beyza's initial salary in TL?
A) 2000
B) 2100
C) 2200
D) 2300
E) 2400
Q31 Permutations & Arrangements Linear Arrangement with Constraints View
Three domestic automobiles of brands A, B, and C and three foreign automobiles of brands X, Y, and Z will be displayed in a single row at an exhibition according to the following conditions.
  • Domestic and foreign automobiles will be arranged consecutively within their own groups.
  • Brand A automobile will be in the first or last position among all automobiles.
  • Brand X automobile will be in the first or last position among foreign automobiles.

Given this, in how many different ways can the automobiles be displayed?
A) 10
B) 12
C) 14
D) 16
E) 18
Q32 Probability Definitions Conditional Probability and Bayes' Theorem View
A fair cubic die is rolled and it is known that one of its faces is in contact with the ground.
Given this, what is the probability that only one of the corners A and B is in contact with the ground?
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 5 } { 6 }$
Q33 Circles Area and Geometric Measurement Involving Circles View
The following information is known about points A, B, C, D, and E in the plane.
$$\begin{aligned} & { [ A B ] \perp [ B C ] } \\ & { [ A B ] \cap [ C D ] = E } \\ & | A E | = | B C | = 4 \text { units } \\ & | A B | = | C D | = 7 \text { units } \end{aligned}$$
Given this, what is the length |DE| in units?
A) $\sqrt { 3 }$
B) $\sqrt { 5 }$
C) $\sqrt { 7 }$
D) 2
E) 3
Q34 Trig Proofs Triangle Trigonometric Relation View
In the regular pentagon ABCDE shown, K and L are the midpoints of line segments AB and DA, respectively.
Given this, what is the measure of angle LKB in degrees?
A) 105
B) 108
C) $\mathbf { 1 2 0 }$
D) 126
E) 135
Q35 Circles Area and Geometric Measurement Involving Circles View
ABCD is a square $\mathrm { AF } \perp \mathrm { FB }$ $\mathrm { DE } \perp \mathrm { AF }$ $| E F | = 4 \mathrm {~cm}$
Given that the area of triangle AFB in the figure is $30 \mathrm {~cm} ^ { 2 }$, what is the area of square ABCD in $\mathrm { cm } ^ { 2 }$?
A) 81
B) 100
C) 120
D) 136
E) 144
Q37 Straight Lines & Coordinate Geometry Geometric Figure on Coordinate Plane View
What is the perimeter of rectangle ABCD given in the coordinate plane in the figure?
A) 18
B) 21
C) 24
D) 27
E) 30
Q40 Vectors Introduction & 2D Magnitude of Vector Expression View
In the coordinate plane, points $A ( 1,0 ) , B ( 2,1 )$ and $C ( 3 , - 2 )$ are given.
Given this, which of the following is the vector $\overrightarrow { A B } + \overrightarrow { A C }$?
A) $( 3 , - 1 )$
B) $( 3 , - 2 )$
C) $( 1 , - 1 )$
D) $( 1,2 )$
E) $( 2,1 )$