Q1

Alice’s one step has a length of √8 dm (decimeter). The distance between Alice and Mark is 120 steps with Alice’s steps and 80 steps with Mark’s.

When Alice and Mark walk towards each other by taking equal number of steps, how many dm away do they meet from the midpoint of the road between them?

A) 16√2 B) 20√2 C) 24√2 D) 28√2

Alice Mark

Length of step: √8 dm

Q2

Edward cuts three rectangular pieces from the corners of a square cardboard. (Figure 1)

The perimeter of the shape remaining after the pieces are cut is 20√2 centimeters. (Figure 2) Since the total area of one side of the three cut pieces is 15 cm2 (square centimeters), how many cm2 (square centimeters) is the area of one side of the remaining piece?

A) 15 B) 20 C) 25 D) 35

Figure 1 Figure 2

20√2 cm

Q3

The figures on Erdal’s calculator look like the following.

When Erdal writes the number 37 into this calculator next to the mirror, its reflection is as follows.

Accordingly, which of the numbers given below is written into the calculator, the number in its mirror image will have only one prime factor?

A) B) C) D)

Ayna

Q4

On the coordinate plane, point A(- 4, - 1) and point B are symmetric respect to the line y=2. Point A (-4, -1) and point C are symmetric respect to the line x=-2.

So what is the area of triangle ABC?

A) 6 B) 12 C) 18 D) 24

Q5

Which of the following is symmetric with the line 2x + 3y = 6 respect to the y-axis on the coor-dinate plane?

A) 2x – 3y = 6 B) 3x – 2y = 6 C) 2y – 3x = 6 D) 3y – 2x = 6

Q6

Of a shape or an object; It is called translation that only the position of a shape or an object changes its position without changing its stance, shape and form. On the following isometric ground, the positions of a truck before it arrives at the loading door (Case I) and after it arrives (Case II) are given.

Some of the directions in which the vehicle can move are also given in the image. Accordingly, which of the following is the translation of the truck from its first location to its position at the loading door? A) 2 units left, 13 units forward and 2 units up. B) 3 units left, 12 units forward and 2 units up

C) 3 units left, 13 units forward and 2 units up D) 2 units left, 12 units forward and 3 units up

Case I

Case II

to Forwardto Left

Down

16 , 9 , 7 , A , B , C , D , E , F , G , H , I , J , K , 1 , 8 , 17

Q8

Kevin writes down each natural number from 1 to 17 once on his notebook as follows. (Some of them are replaced by letters.)

The sum of any two numbers Kevin writes side by side is a square number. For example; Since the first two numbers are 16 and 9, 16 + 9 = 25 = 52, as the second and third numbers are 9 and 7, 9 + 7 = 16 = 42. Accordingly, which of the following is the number to be written instead of G on the notebook?

A) 3 B) 5 C) 12 D) 13

Q7

A part of Brentnall Grove Street is closed to traffic for a book fair to be held.

Square-shaped stands with 9 m2, 16 m2 and 25 m2 on one side of the street and 16 m2, 25 m2 and 36 m2 on the other side are prepared for publishers to exhibit their books in the determined order as seen without any space between them.

Accordingly, which of the following can be the number of stands prepared for publishers?

A) 81 B) 90 C) 100 D) 120

. . .

. . .

9m² 9m²16 m²

16 m²

25 m²

25 m²

16 m²25 m²

36 m²

Brentnall Grove Street

Q9

There’s a 100 piece puzzle that needs to be solved by a student. The first 30 pieces of the puzzle require 8 minutes for each puzzle piece for the puzzle to be completed. Then the next 30 pieces of the puzzle require 5 minutes for each puzzle piece for the puzzle to be completed. The last 40 pieces of the puzzle requires only 3 minutes for each puzzle piece for the puzzle to be completed.

How much time does the student need to complete 75% of the entire puzzle?

A) 435 minutes B) 510 minutes C) 429 minutes D) 520 minutes