Fibonacci Contest (Grades 7 & 8) Round 2

A gray circle with 2 large holes in it is put on top of a clock face as shown. The gray circle is turned around its center. Which 2 numbers is it possible to see at the same time?

• 4,9

• 5,9

• 5,10

• 6,9

• 7,12

Alia has 4 puzzle pieces shown on the left of the figure. Which 2 pieces can she put together to form the square shown on the right of the figure?

• 1,2

• 1,3

• 1,4

• 2,3

• 2,4

A light engineer in the theatre turns the lights on and off. He uses the plan shown. How long in total are exactly 2 of the lights on at the same time?

• 2 minutes

• 6 minutes

• 8 minutes

• 9 minutes

• 10 minutes

Danah glued the 2 pieces of paper (gray and white) on top of the black circle shown above. What can she not obtain?

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The shape above is covered with the 5 pieces below. Which piece will cover the dot?

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There are six weights of 1, 2, 3, 4, 5, and 6 Kg. Mariam puts five of them on the scales and puts one weight aside. The scales balance. Which weight did she put aside?

• 1 Kg

• 2 Kg

• 3 Kg

• 4 Kg

• Can't be sure

There are 8 cars waiting in a queue for the ferry. Every car obtains either 2 or 3 people. There are 19 people in total waiting for the ferry. How many cars contain exactly 2 people?

• 2

• 3

• 4

• 5

• 6

The metro line has 6 stations, A, B, C, D, E, and F. The train stops at every station. When it reaches one of the two end stations, it changes its direction. The train driver started driving at station B and his first stop was station C. Which station will be his 96th stop?

• A

• B

• C

• D

• E

6 camels and 2 kangaroos are standing in a line. Amongst any 3 consecutively numbered animals, exactly 1 is a kangaroo. Which numbered animal is a kangaroo?

• 1

• 2

• 3

• 4

• 5

Bader, Hashem and Raed always walk into the common room one at a time. Bader is never first, Hashem is never second and Raed is never third. In how many different orders could they walk in?

• 1

• 2

• 3

• 4

• 5