Fibonacci Contest - Level 9&10 - FINAL ROUND

The diagram shows a grid made of vertical and horizontal lines. Which part was cut from the grid?

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Which of the following shapes cannot be cut into two trapeziums with one single straight line?

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A dark disc with two holes is placed on top of a dial of a watch as shown. The dark disc is now rotated so that the number 8 can be seen through one of the holes. Which of the numbers could one see through the other hole now?

• 4 and 12

• 1 and 5

• 1 and 4

• 7 and 11

• 5 and 12

John has 150 coins. 60 of them are showing heads and the rest are showing tails. He wants an equal number of coins showing heads and tails. How many coins showing heads does he need to turn over?

• 10

• 15

• 20

• 25

• 30

Kristina has a piece of see-through foil on which some points and lines are drawn. She folds the foil along the dotted line. What can she see now?

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. A grid should be cut along the black lines into several identical shapes. No piece is to be left over. Into which of the following shapes is it not possible to cut this grid in this way?

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The diagram shows the starting position, the direction and the distance covered within 5 seconds by four bumper cars. Which two cars will first crash into each other?

• A and B

• A and C

• A and D

• B and C

• C and D

Werner wants to label each side and each corner point of the rhombus shown with exactly one number. He wants the number on each side to be equal to the sum of the numbers on the corner points of that sides. Which number is he going to write in the place of the question mark?

• 11

• 12

• 13

• 14

• 15

Anna has five circular discs that are all of different sizes. She wants to build a tower using three discs where a smaller disc always has to lie on top of a bigger disc. How many ways are there for Anna to build the tower?

• 5

• 6

• 8

• 10

• 15

Evita wants to write the numbers from 1 to 8 with one number in each field. The sum of the numbers in each row should be equal. The sum of the numbers in the four columns should also be the same. She has already written in the numbers 3, 4 and 8 (see diagram). Which number does she have to write in the dark field?

• 1

• 2

• 5

• 6

• 7