Solutions (Geometry A)
1.
There is a path with square tiles.
How many tiles fit in the area inside?
Answer:
9
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2.
How many meters does Julian walk if he starts from
point A, goes through point B, C, D, and ends at
point A?
Answer:
60 m
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3.
How far does Cristi live from Andra?
4.
The road sign shows the distance between villages. Several
villages are on a straight road and this sign can be seen on
that road. How far is Behaiesti from Mormaiesti?
5.
Which of the following lines is the longest?
Answer:
80 m
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Answer:
9 km
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Answer:
E
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6.
How many little squares were removed from the figure on
the right?
7.
A log that is 15 meters long needs to be cut into pieces that are 3 meters long. How many cuts
need to be made?
Answer:
4
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8.
In two days, Ben walked 33 kilometers. During the second day, he walked three times as far as
he did the first day, and then 5 kilometers more. How many kilometers did he walk the second
day?
Answer:
26 km
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Answer:
16
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Math Challenge 2013-2014
9.
Answer:
21
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We can make the picture of the vase shown to the right using small square
pieces of paper like this one
and by cutting some of them in half. What is
the smallest number of such small square pieces of paper we need to make
the picture?
10. When Pinocchio lies, his nose gets 6 cm longer. When he tells the truth, his nose gets 2 cm
shorter. When his nose was 9 cm long, he told three lies and made two true statements.
How long was Pinocchio's nose afterwards?
Answer:
23 cm
11. The picture shows the distance in miles
between certain towns A, B, C, D, E, and F.
What is the distance in miles between towns C
and D?
Answer:
10
12. In his garden Anthony made the path shown
in the figure, using 10 tiles of size 4 meters by
6 meters. Anthony painted a black line
between the midpoints of the tiles. How long
is this black line?
Answer:
46 m
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13. One side of a rectangle is 8 cm long, while the other is half as long. A square has the same
perimeter as the rectangle. What is the length of the side of the square?
Answer:
6 cm
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14. The diagram is a scale representation of the distance between Mara's house and the house of
her friend Bunica. One half, one quarter and one eighth of the distance are marked on the
diagram. What is the real distance between the two houses?
Answer:
15. An ant crawls along the edges of a cube, each of them 1 meter long, starting from the leftmost
bottom vertex. The ant wants to visit each of the other vertices at least once. It cannot crawl
across the faces of the cube. What is the shortest distance it must crawl?
Answer:
7m
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_______________
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800 m
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Math Challenge 2013-2014