Soal Olimpiade
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Transcript of Soal Olimpiade
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