13 14 mathcounts-students version
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Transcript of 13 14 mathcounts-students version
94
34
13
1 cm 2 3 4 5 6 7
21:36
0:002:244:487:129:36
12:0014:2416:4819:12
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Hours of Daylight(Sunrise to Sunset)
12
12
Favorite Ride Male FemaleFerris Wheel 15 20
Roller Coaster 24 14Carousel
Flume6 105 6
A
B
C
D
E4 cm
5 cm
9 cm
16
2 �
2 �
cd
dc
12
12
73
12
14
14
23
A B C
SOUP SOUP
cx
ma
yx
x−16y −8 −4 −2
−2 −4−1− 12
4
4
4
4
5
5
5
6
6
7
3
3
32
1 2
47
13
ac
12
34
34
xy
34
xz
18
yz
112
161
2
A B C D E F G
books5
books2
25
Year20012002200320042005200620072008
% Change+10−5
−10+4+4+4+4+4
D
A
C
E
B
14
(1.4 × 10 )(2.4 × 10 )1.2 × 10
-7 8
9
32
O
N
P
80°
50°
x
m
n
23
Melbourne
Miami
MEGA
LOTTERY$234,000,000Two hundred thirty-four million dollars
20LLL
00
17
19
34 36
36
120
x + 12
3x 2x
X
W Z Y
12
14
Figure 1 Figure 2
18
A B
C
x
y
Figure 1 Figure 2
12
14
32
π3x
A
B
C
( (( (
2 3 2 1 3 3 3
1 3 2 2 4 3 4
) )) )
a b c a b ca b c a bc
A B
CDG
6432
8
3
⎧⎪⎪⎨⎪⎪⎩
≥
< <
≤ ≤
<2
if 16
+ 1 if 10 16
if 0 10
if 0
x x
x x
x
x x2x − 10
A
B C D E
F G
H
I J
ACB� ADB�
30°
A B
CD
P
Q
R
117
60° 60°
A B
CD
1 3DEF
5JKL
6MNO
8TUV
9WXYZ
4GHI
7PQRS
0* #
2ABC
124 2
0
1
2
3
4
1 32 4 5 76 8 9 1110 120
1
2
3
4
1 32 4 5 76 8 9 1110 12
Girls in Class Boys in Class
Num
ber o
f Stu
dent
s
Num
ber o
f Stu
dent
s
Name Length (Le�ers) Name Length (Le�ers)
A
B
OP
d
Subtract →↓
17 10 7
8 5 3
9 5 4
Figure 1
2
1
01234
1 32 4 5 76 8 9 1110 12
Freq
uenc
y
Sum of Two Dice
567
Sum of Two Standard Dice
Subtract →↓
263 m
n 34
104
Figure 2
34 in.
30 in.
32 in.
9 cm
12 cm9 m
5 m
10 cm
5 cm4 cm
6 �.
h l
base
hl
r
base
r
h
base
base
r
h
base
base
frustumfrustum
12 cm
18 in.
24 in.
18 m
10 cm
10 cm
xx x
x
x x
x
x
xx x xx
x
xx
1 2 3 4 5
xxxx
Num
ber o
f Pet
Ow
ners
Number of Pets
Total Number of Pets per Owner
9 0 2 3 510 0 0 7
6
11 6 912 0 813 0 5 6 914 1 3 8
Stem
15 0
Leaf
Maximum Speed of 20 Roller Coasters (mi/h)
Spee
d (m
i/h)
60
55
50
45
40
35
Time of Day
8:00 8:30 9:00 9:30 10:00 10:30 11:00 11:30 12:00
Driver’s Speed8:00 a.m. to 12:00 noon
AB
C
D
E
F
Number of Words Spoken(Person A)
x
y
Num
ber o
f Wor
ds S
poke
n(P
erso
n B)
Conversa�on QualityConversa�ons A, B, C, D, E and F
34
20 m
30 m
10 in.
12
