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Mathematics 5.

Table of contents
Orientation in the world around you
Temporary traffic lights are controlling
traffic on the A47 due to roadworks.
Two sources of information help us find a given building in a city: the street name and the house number.
When you are travelling by car, the road numbers and the \latex{ kilometre } markers by the road help you to navigate.
On a chess board, columns are marked with letters and rows are marked with numbers. In this picture, the black rook is on square B\latex{ 3 } and the white king is on square G\latex{ 7 }.
46043
\latex{ G }
\latex{ A }
\latex{ B }
\latex{ C }
\latex{ D }
\latex{ E }
\latex{ H }
\latex{ F }
\latex{ H }
\latex{ 1 }
\latex{ B }
\latex{ C }
\latex{ D }
\latex{ E }
\latex{ F }
\latex{ G }
\latex{ A }
\latex{ 8 }
\latex{ 7 }
\latex{ 6 }
\latex{ 5 }
\latex{ 4 }
\latex{ 3 }
\latex{ 2 }
\latex{ 8 }
\latex{ 7 }
\latex{ 6 }
\latex{ 5 }
\latex{ 4 }
\latex{ 3 }
\latex{ 2 }
\latex{ 1 }
In a classroom, seats are identified by a two-digit number. The number \latex{ 43 } means that the seat is in the \latex{ 4 th} column and the \latex{ 3rd} row.
Orienteers use a map and a compass to navigate. To find their way, they need to be aware of directions and distances.
Staff table
\latex{ 15 }
\latex{ 25 }
\latex{ 35 }
\latex{ 45 }
\latex{ 55 }
\latex{ 65 }
\latex{ 64 }
\latex{ 54 }
\latex{ 44 }
\latex{ 34 }
\latex{ 24 }
\latex{ 14 }
\latex{ 13 }
\latex{ 23 }
\latex{ 33 }
\latex{ 43 }
\latex{ 53 }
\latex{ 63 }
\latex{ 62 }
\latex{ 52 }
\latex{ 42 }
\latex{ 32 }
\latex{ 22 }
\latex{ 12 }
\latex{ 11 }
\latex{ 21 }
\latex{ 31 }
\latex{ 41 }
\latex{ 51 }
\latex{ 61 }
To navigate the world with ease, you need clear points of reference for your positioning and accurate orientation.
Exercises
{{exercise_number}}. Make a seating plan for your own classroom based on the plan above.
a) What is the position of the following students in the class: students with glasses; the tallest student in the class; students who are absent from today's class?
b) Who sits in the following positions: \latex{ 13, 31, 24 } and \latex{ 42 }?
{{exercise_number}}. Identify the most important pieces of information on this ticket. ()
Section
Row
Seat
Palace of Arts
1 Komor Marcell St, Budapest, H-1095
\latex{ 1 }st floor
\latex{B}
\latex{ 5 }
\latex{ 10}
121
{{exercise_number}}. Find the following towns on the map below.
a) Lviv
b) Munich
c) Prague
{{exercise_number}}. In which square are the following towns located?
a) Stuttgart
b) Vienna
c) Kraków
1
A
B
C
D
E
F
G
H
1
2
2
{{exercise_number}}. List the towns that start with a consonant and are in column B.
{{exercise_number}}. Which squares in the map above have bodies of water?
{{exercise_number}}. Which squares do the following pieces stand on?
a) dark bishop
b) light king
c) dark king
d) dark rook
e) light knight
f) dark queen ()
\latex{ H }
\latex{ A }
\latex{ B }
\latex{ C }
\latex{ D }
\latex{ E }
\latex{ F }
\latex{ G }
\latex{ H }
\latex{ G }
\latex{ F }
\latex{ E }
\latex{ D }
\latex{ C }
\latex{ B }
\latex{ 1 }
\latex{ A }
\latex{ 8 }
\latex{ 7 }
\latex{ 6 }
\latex{ 5 }
\latex{ 4 }
\latex{ 3 }
\latex{ 2 }
\latex{ 1 }
\latex{ 2 }
\latex{ 3 }
\latex{ 4 }
\latex{ 5 }
\latex{ 6 }
\latex{ 5 }
\latex{ 7 }
\latex{ 8 }
{{exercise_number}}. Which chess pieces stand on the following squares?
a) a\latex{ 5 }
b) h\latex{ 2 }​​​​​​​
c) b\latex{ 4 }​​​​​​​
d) e\latex{ 7 }​​​​​​​
e) a\latex{ 8 }​​​​​​​
f) a\latex{ 2 }​​​​​​​
g) e\latex{ 3 }​​​​​​​
h) c\latex{ 2 } ()
king
pawn
knight
bishop
rook
queen
Quiz
A traveller saw a huge bear \latex{ 500 } \latex{m} to the east. He started running north and ran \latex{ 500 } \latex{m}. He stopped, exhausted, and saw that the bear was standing in the same place, but now it was south of him. What colour was the bear?
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