DDR / Lehrbuch / Von Wirbeltieren und Samenpflanzen
DDR / Lehrbuch / Pilze, Bakterien und Blaualgen, Moos und Farnpflanzen
Diktate (Uebungen mit Loesungen)
DDR / Lehrbuch / Von Wirbeltieren und Samenpflanzen
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Lehrbücher / DDR
Has revisado que, a lo largo de su evolución, nuestro planeta ha estado sometido a un proceso de cambio lento pero constante. Los procesos planetarios pueden llegar a tomar millones de años …Descripción completa
3 points-problems
1. Find one third of 9 9 . A)
9
3
B)
3
9
C)
3
D) 317
3
E) the result is not a natural number
2. The following term is divided by 5:
1 1 2 1 2 3 1 2 3 4 ... 1 2 3 4 ... 97 98 99 What will be the rest? A) 0
B) 1
C) 2
D) 3
E) 4
4 points-problems
3. The surface of a cube is red-colored and the cube has a volume of of 1000 cm³. The cube is divided into many small cubes with volume 8 cm³ by sections parallel to the side faces of the cube. All small cubes were put into a bag and mixed. Without looking one small cube is randomly selected. What is the probability that this cube has exactly two red sided faces? A)
8 1000
B) 0
C)
48
D)
125
60 125
E)
36 125
4. A coin with with radius r = 1 is rotated by a regular regular hexagon with side length 2 (as shown). Which distance has the center point M of the coin covered when he arrived the first time again at the starting point? B) 12
A) 12
C) 12 2
D) 14
E) 14 2
5. The natural numbers are written in seven columns as described: 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
…
…
…
…
…
…
…
…
…
…
…
The indicated square contains contains 4 numbers whose sum is 36. The number in the first row on the left is 5. Is it possible that there occurs lower down once again such a square of 4 numbers such that the sum adds up to 288? If yes, what is the number in the first row on the left? A) 36
B) 68
C) 69
D) 76
E) it is not possible
5 points-problems
6. In front of you are two bags. In the left bag are 14 hats: 2 white, 8 black and 4 red hats. In the right bag are 14 scarves: 5 white and 9 black scarves. You start with the left bag and select without looking alternately a hat, a scarf, a hat, a scarf etc. Without looking at their colour the hats and scarves were put aside. They will not be put back in the bags. How many times you have to select at least to be completely sure to have a hat and a scarf of the same colour? A) 7
B) 8
C) 10
D) 12
E) 13
7. Here you see three different views of the same cube:
On its 6 faces you see the following symbols
Which symbol is on the side opposite to the white circle? A)
B)
C)
8. Find a natural number (1
1 4
) (1 2
A) there is no n
,
n n
1 5
) (1 2
D)
6 with
1 6
B) 7
E)
) ... (1 2
1
) 2
n
n 1 20
C) 8
D) 10
E) 15
9. The figure on the right is given with the following assumptions: (1) angle BAD = 36o
(2) angle DBA = 72o
(3) angle ACB = 36o
(4) |AB| = x
(5) |BD| = y
(6) |BC| = z.
(The figure is not drawn to scale)
Which of the following statements is true? A) z = x + y
B) z = 2x
C) z = 2y
–
x
D) z =
1 2
(2x+y)
E) z =
1 2
(x+2y)
10. Six playing cards were numbered with the face values 1, 2, 3, 4, 5, 6 and placed in a bag. Without looking three cards were randomly selected without returning. They form in the drawn sequence a three-digit number. What is the probability that this three-digit number can be divided by 9? A)
