ĐỀ THI TOÁN APMO (CHÂU Á THÁI BÌNH DƯƠNG)_ĐỀ 16 pot
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BMC Elementary, Spring 2011
The sum of the hidden numbers
Different numbers are written in the cells of the table below. Cut out
the strip of paper at the bottom of this page (the 4 squares) and
hide 4 neighboring numbers (vertically or horizontally) with it. I will
tell you the sum of these 4 hidden numbers.
0
2
9
6
3
0
2
9
6
3
0
2
4
3
8
5
0
4
3
8
5
0
4
3
7
6
0
2
5
7
6
0
2
5
7
6
3
9
1
0
7
3
9
1
0
7
3
9
6
0
2
7
5
6
0
2
7
5
6
0
0
2
9
6
3
0
2
9
6
3
0
2
4
3
8
5
0
4
3
8
5
0
4
3
7
6
0
2
5
7
6
0
2
5
7
6
3
9
1
0
7
3
9
1
0
7
3
9
6
0
2
7
5
6
0
2
7
5
6
0
0
2
9
6
3
0
2
9
6
3
0
2
4
3
8
5
0
4
3
8
5
0
4
3
BMC Elementary, Spring 2011
There are 4 houses on the Baker Street, each numbered 1, 2, 3 and
4. The following people live on the Baker Street, one in each house:
Ted, Alice, Sam and Emma.
Use the following clues to find out who lives in which house using
the logic table below.
Clue 1: The number of Ted’s house is an even number.
Clue 2: The number of Sam’s house is an odd number.
Clue 3: The number of Alice’s house is greater than the number of
Ted’s house.
Clue 4: The number of Emma’s house is less than the number of
Sam’s house.
1.
2.
3.
4.
Ted
Sam
Alice
Emma
BMC Elementary, Spring 2011
BMC Elementary, Spring 2011
1. How many pets live in my house if:
a) all but two of them are dogs;
b) all but two of them are cats;
c) all but two of them are parrots?
2. Three dogs eat 9 treats over three days. How
many dogs would eat 14 treats over seven days?
