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
2012 ygs

17 maths questions

Q2 Indices and Surds Evaluating Expressions Using Index Laws View
$$\frac { 6 ^ { -2 } - 4 \cdot 6 ^ { -3 } } { 3 ^ { -2 } - 2 \cdot 3 ^ { -3 } }$$
What is the result of this operation?
A) $\frac { 1 } { 3 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 4 }$
Q3 Indices and Surds Simplifying Surd Expressions View
$$\begin{aligned} & a = \sqrt { 12 } - \sqrt { 8 } \\ & b = \sqrt { 27 } + \sqrt { 18 } \end{aligned}$$
Given that, what is the product a.b?
A) $4 \sqrt { 2 }$
B) $3 \sqrt { 3 }$
C) 4
D) 5
E) 6
Q4 Laws of Logarithms Simplify or Evaluate a Logarithmic Expression View
Let $\mathbf { x }$ and $\mathbf { y }$ be real numbers.
$$2 ^ { x } - 2 ^ { -y } \left( 2 ^ { x+y } - 2 \right)$$
Which of the following is this expression equal to?
A) $2 ^ { x+1 }$
B) $2 ^ { y-x }$
C) $2 ^ { -y+1 }$
D) $\frac { 2 } { 9 }$
E) $\frac { 4 } { 9 }$
Q6 Simultaneous equations View
$$\frac { a - 1 } { a - 3 } = \frac { a - 5 } { a - 4 }$$
Given that, what is a?
A) $\frac { 8 } { 5 }$
B) $\frac { 13 } { 4 }$
C) $\frac { 9 } { 4 }$
Q8 Inequalities Integer Solutions of an Inequality View
$$-2 < x < 4$$
Given that, what is the greatest integer value that the expression $1 - x$ can take?
A) $-3$
B) $-2$
C) $-1$
D) 2
E) 3
Q9 Solving quadratics and applications Solving an equation via substitution to reduce to quadratic form View
$$x \cdot \left( \sqrt { \frac { 1 } { x } - \frac { 1 } { x ^ { 2 } } } \right) = \frac { 1 } { 2 }$$
Given that, what is x?
A) $\frac { 3 } { 2 }$
B) $\frac { 5 } { 4 }$
C) $\frac { 9 } { 4 }$
D) $\frac { 6 } { 5 }$
E) $\frac { 7 } { 5 }$
Q10 Simultaneous equations View
For real numbers $x , y$ and $z$
$$\begin{aligned} & x \cdot y = 14 \\ & x \cdot z = 20 \\ & 3x + 2y + z = 24 \end{aligned}$$
Given that, what is x?
A) $\frac { 8 } { 3 }$
B) $\frac { 14 } { 5 }$
C) 3
Q13 Partial Fractions View
$$\begin{aligned} & x = \frac { a - b } { a + b } \\ & y = \frac { b - c } { b + c } \end{aligned}$$
Given that, which of the following is the equivalent of the expression $\frac { 1 + y } { 1 - x }$ in terms of $a , b$ and $c$?
A) $\frac { b - c } { a - b }$
B) $\frac { b + c } { a - b }$
C) $\frac { a - b } { a + c }$
D) $\frac { a - c } { b - c }$
E) $\frac { a + b } { b + c }$
Q14 Modulus function Solving equations involving modulus View
Let a be a real number. The distance of a from 1 on the number line is $a + 4$ units.
Accordingly, what is $|a|$?
A) $\frac { 3 } { 2 }$
B) $\frac { 5 } { 2 }$
C) $\frac { 7 } { 2 }$
D) $\frac { 7 } { 3 }$
E) $\frac { 8 } { 3 }$
Q19 Function Transformations View
A function f defined on the set R of real numbers
  • For every $x \in [ -10,10 ]$, $f ( x ) = | x |$
  • For every $x \in R$, $f ( x ) = f ( x + 20 )$
satisfies these properties. Accordingly, what is the value of $f ( 117 )$?
A) 3
B) 4
C) 6
D) 7
E) 9
Q25 Measures of Location and Spread View
In a foreign language course, the average age of students in classes $A , B$ and $C$ is 20, 26 and 29 respectively. The average age of students in classes A and B together is 23, and the average age of students in classes B and C together is 28.
According to this, what is the average age of all students in these three classes?
A) 25,5
B) 26
C) 26,5
D) 27
E) 27,5
Q27 Probability Definitions Finite Equally-Likely Probability Computation View
Four students of different heights line up randomly in a row.
According to this, what is the probability that the shortest and tallest students are at the ends?
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 1 } { 12 }$
Q30 Curve Sketching Limit Reading from Graph View
When 130 liters of milk in a dairy is used to make cheese, the graph of the linear relationship between the remaining milk and the amount of cheese produced is given.
According to this, when 10 kg of cheese is produced in this dairy, how many liters of milk remain?
A) 50
B) 60
C) 65
D) 75
E) 80
Q33 Sine and Cosine Rules Find a side or angle using the sine rule View
ABC and DEC are triangles
$$\begin{aligned} & \mathrm { m } ( \widehat { \mathrm { CAB } } ) = \mathrm { m } ( \widehat { \mathrm { DEC } } ) \\ & | \mathrm { AD } | = 5 \mathrm {~cm} \\ & | \mathrm { DC } | = 3 \mathrm {~cm} \\ & | \mathrm {~EB} | = 2 \mathrm {~cm} \\ & | \mathrm { BC } | = x \end{aligned}$$
According to the given information, what is x in cm?
A) 4
B) 5
C) $\frac { 9 } { 2 }$
D) $\frac { 10 } { 3 }$
E) $\frac { 13 } { 3 }$
Q34 Circles Area and Geometric Measurement Involving Circles View
The figure below shows the construction used to obtain a square with an area equal to that of a given rectangle.
ABCD is a rectangle, HDFG is a square, semicircle with center O
$$A ( ABCD ) = A ( HDFG )$$
The F vertex of the square HDFG in the figure lies on the semicircle with center O.
Given that the perimeter of rectangle ABCD is 36 cm, what is the diameter of the circle in cm?
A) 12
B) 15
C) 18
D) 21
E) 24
Q35 Proof Computation of a Limit, Value, or Explicit Formula View
Teacher Cemal conducted the following activity step by step with his students in a geometry lesson and asked them a question at the end of the activity.
  • Let us draw a line segment AB of length 8 cm.
  • Let us open our compass to 5 cm.
  • By placing the sharp point of the compass first at point A and then at point B, let us draw two circles.
  • Let us name the intersection points of these two circles as C and D.
  • Let us form the quadrilateral ACBD with vertices at points A, B, C, and D.
  • What is the area of the quadrilateral region ACBD in $\mathrm { cm } ^ { 2 }$?

According to this, what is the answer to the question asked by Teacher Cemal?
A) 20
B) 24
C) 25
D) 26
E) 32
Q38 Vectors 3D & Lines MCQ: Cross-Section or Surface Area of a Solid View
Below is shown a structure made with two identical rectangular prisms with edge lengths of 2, 3, and 4 units. These prisms are placed adjacent to each other as shown in the figure.
According to this, what is the length of the line segment AB connecting vertices A and B in units?
A) $6 \sqrt { 2 }$
B) $8 \sqrt { 3 }$
C) $5 \sqrt { 5 }$
D) 7
E) 9