13 14 mathcounts-students version

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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