1. In planar rectangular system, coordinates of ABC triangles vertices are A(1,3) ; B(5,9) ; C(11,3). Point D is in circle so that its distance to the three ABC triangle vertices is the same. What is the line equation AD ?

a.5x – y -14 = 0

b.x – 5y + 14 = 0

c.x – 5y – 14 = 0

d.5x – y + 14 = 0

2. Given :

x – y = xy = 1- x - y

Then x + y = ....

a.½

b.¾

c.5/6

d.7/8

3. Given a beam ABCD.EFGH, with AB = 2n ; BC = n ; and AE = 1. Its surface is 54. If n is integer, the length of diagonal space is ...

a. c.

b. d.

46

64

213

71

4. Average of a group of number is 40. There is a number which actually is 60 but misread as 30. After re-counting, the exact average is 41. How many numbers within this group?

a.20

b.25

c.30

d.42

5. The exact value of ...

a. c.

b. d.

5

14

13

12

11

12

17

24

35

30

43

157

225

6. ABC triangle is an equilateral triangle.

PE BC ; PD AB ; PF AC ;

PF + PD = 2 .

If H is midpoint of AB and AH = 9 cm, then PE length = ....

a.2

b.3

c.4

d.5

3

3

3

3

3

7. The last digit of is ....

a.3

b.6

c.7

d.9

151201 32

8. Suppose that OB and OA are diameter of a half-circle. OA = 3

cm , angle BOA ia a right angle. If A and B are two points on circle perimeter and the distance equal to OA, then the value of

drawn area is ...a. 9 c. b. d.

2

94

9

4

9

9. Look at this picture below.

The ratio between area of equilateral triangle and area of square is ...

a. : 1

b. :

c. 3 : 2

d. 3 :

3

33 2

2