turkey-yks

Q4 Indices and Surds Simplifying Surd Expressions View

Mert, who performs operations with radical numbers, instead of multiplying the number $\sqrt{10} + \sqrt{6}$ by its conjugate $\sqrt{10} - \sqrt{6}$, mistakenly divided it.
Accordingly, how much greater is the number Mert found than the number he should have found?
A) $\sqrt{12}$ B) $\sqrt{15}$ C) $\sqrt{18}$ D) $\sqrt{20}$ E) $\sqrt{30}$

Q6 Inequalities Ordering and Sign Analysis from Inequality Constraints View

Bilge will choose two of the soup, salad, and fruit options given as one portion each at lunch based on the required calorie amount. Regarding the choices she can make, Bilge has calculated that the required calorie amount is
- exceeded when she chooses soup and fruit, - not exceeded when she chooses fruit and salad, - exactly met when she chooses salad and soup.
If the calories of one portion of soup, fruit, and salad are Ç, M, and S respectively, which of the following is the correct ordering of these values?
A) Ç $<$ M $\leq$ S B) Ç $\leq$ S $<$ M C) S $\leq$ Ç $<$ M D) S $<$ M $\leq$ Ç E) M $\leq$ S $<$ Ç

Q8 Inequalities Absolute Value Inequality View

An instructor at a parachute jumping course gives the following explanation to the trainees:
"When jumping from an airplane at a height of 800 meters from the ground, you need to open your parachute 400 to 500 meters after jumping from the airplane in order to land safely on the ground."
Accordingly, which of the following inequalities expresses the values that the height from the ground when the parachute opens can take in order to land safely?
A) $|x - 350| \leq 50$ B) $|x - 300| \leq 100$ C) $|x - 250| \leq 150$ D) $|x - 200| \leq 200$ E) $|x - 150| \leq 250$

Q9 Curve Sketching Identifying the Correct Graph of a Function View

Let $a, b, c$ and $d$ be real numbers such that
$$x + ay \leq b$$ $$x + cy \geq d$$
The solution set of the system of inequalities is shown in green on the coordinate plane below.
Accordingly, what are the signs of the numbers $a, b, c$ and $d$ in order?
A) $+, -, -, -$ B) $+, +, +, -$ C) $+, -, +, -$

Q12 Function Transformations View

In the rectangular coordinate plane, the graphs of the functions $f + g$ and $f - g$ are given in the figure.
Given this, what is b?
A) 3 B) 4 C) 5 D) 6 E) 7

Q14 Measures of Location and Spread View

In a data group, when the numbers are arranged from smallest to largest, if the number of terms in the group is odd, the median (middle value) is the middle number; if it is even, the median is the arithmetic mean of the two middle numbers.
The ages and heights of the 9 players on a volleyball team, with the first component representing their ages and the second component representing their heights, are given as the sorted data group by height: $(18; 1.76), (17; 1.79), (18; 1.82), (19; 1.84), (20; 1.84)$, $(21; 1.88), (17; 1.90), (20; 1.92), (19; 1.96)$.
One player left this 9-person team, but the median of both the ages and heights of the remaining players did not change.
Accordingly, which of the following correctly gives the age and height of the player who left the team?
A) $(17; 1.79)$ B) $(17; 1.90)$ C) $(19; 1.84)$ D) $(19; 1.96)$ E) $(21; 1.88)$

Q16 Factor & Remainder Theorem Divisibility and Factor Determination View

Let $a, b, c \in \mathbb{R}$ and $a \neq 0$. To factor the polynomial $ax^2 + bx + c$, we search for $m, n, r, s \in \mathbb{R}$ such that $a = m \cdot r$, $c = n \cdot s$, and $b = m \cdot s + n \cdot r$. If numbers satisfying these conditions can be found, the polynomial is factored as $ax^2 + bx + c = (mx + n)(rx + s)$.
Using the method described above, Sude wants to factor the polynomial $2x^2 + bx - 21$ where $b \in \mathbb{R}$. After finding the real numbers $m, n, r$, and $s$ that satisfy the given conditions, she notices that these numbers are each integers. Later, she confuses the places where she should write the numbers $n$ and $s$, and mistakenly factors the polynomial as $(mx + s)(rx + n)$ instead of $(mx + n)(rx + s)$, and finds the factors of the polynomial $2x^2 + x - 21$.
Accordingly, what is b?
A) 11 B) 12 C) 13 D) 14 E) 15

Q25 Exponential Equations & Modelling Percentage Change and Growth Rate Reasoning View

Temperature conversions between Fahrenheit (${}^{\circ}\mathrm{F}$) and Celsius (${}^{\circ}\mathrm{C}$) are calculated using the formula $\mathrm{F} = \frac{9}{5} \cdot \mathrm{C} + 32$.
Cem has been assigned to measure the classroom temperature in Celsius at the same time each day for five days they go to school and find the average temperature of these five days in Celsius. On one of these five days, Cem did not go to school, and his classmate Deniz took the measurement for that day. However, Deniz mistakenly recorded the F value instead of the C value for that day's temperature in the list. Based on the values in the list, Cem calculated the average temperature for these five days as $33.8^{\circ}\mathrm{C}$.

\cline{2-6} \multicolumn{1}{c\|}{}	Monday	Tuesday	Wednesday	Thursday	Friday
Temperature (${}^{\circ}\mathrm{C}$)	23	27	25	20	26

After Deniz's measured temperature value is converted to Celsius and the five-day measurement has the values in the list as shown above, on which day did Cem not go to school?
A) Monday B) Tuesday C) Wednesday D) Thursday E) Friday

Q28 Travel graphs View

In the graph below showing Fatih's time to reach work according to his departure time from home on a certain day, the graph representations between 07.00-08.00 and 08.00-09.00 are linear.
Fatih, who left home at some time between 08.00 and 09.00, would have arrived at work at the same time if he had left home exactly one hour earlier.
Accordingly, at what time did Fatih arrive at work?
A) 09.12 B) 09.15 C) 09.18 D) 09.21 E) 09.24

Q29 Combinations & Selection Basic Combination Computation View

In a mathematics class, the teacher asks Veli to calculate in how many different ways 3 students can be selected, Yasin to calculate in how many different ways 5 students can be selected, and Zeynep to calculate in how many different ways 11 students can be selected from the students in the class. All three students calculated the requested numbers correctly.
Given that the numbers found by Yasin and Zeynep are the same positive integer, what is the number found by Veli?
A) 364 B) 560 C) 688 D) 816 E) 960

Q30 Probability Definitions Finite Equally-Likely Probability Computation View

To access an internet site, users must select all unit squares containing car parts from the photograph divided into 9 unit squares below and click the confirm button.
Eda, who wants to access this site, randomly selected four different unit squares from this photograph and clicked the confirm button.
Accordingly, what is the probability that Eda can access this site?
A) $\frac{1}{15}$ B) $\frac{1}{36}$ C) $\frac{1}{56}$ D) $\frac{1}{84}$ E) $\frac{1}{126}$

Q39 Proof Computation of a Limit, Value, or Explicit Formula View

The surface area of a rectangular prism with edge lengths $a, b$ and $c$ is calculated with the formula
$$A = 2(a \cdot b + a \cdot c + b \cdot c)$$
Two identical rectangular prisms are placed in three different ways such that they share one face each. The surface areas of the resulting Figure 1, Figure 2, and Figure 3 are calculated as 18, 20, and 22 square units respectively.
Accordingly, what is the surface area of one of the identical prisms in square units?
A) 12 B) 13 C) 14 D) 15 E) 16

Q40 Proof Computation of a Limit, Value, or Explicit Formula View

Three faces of a square right prism-shaped board are painted white, and the other three faces are painted red. The sum of the areas of the white-painted faces is 76 square units, and the sum of the areas of the red-painted faces is 12 square units.
Accordingly, what is the volume of this board in cubic units?
A) 18 B) 24 C) 27 D) 32 E) 36

turkey-yks

Papers (30)

2021 yks-tyt