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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
1
4
1
3
1
2
1
1
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
9
4
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
2
2

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Soal Olimpiade

  • 1. 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. 2. Given : x – y = xy = 1- x - y Then x + y = .... a.½ b.¾ c.5/6 d.7/8
  • 3. 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. 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. 5. The exact value of ... a. c. b. d. 5 1 4 1 3 1 2 1 1 12 17 24 35 30 43 157 225
  • 6. 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. 7. The last digit of is .... a. 3 b. 6 c. 7 d. 9 151201 32
  • 8. 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 9 4 9 4 9
  • 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 2 2