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Olympics: Event 2

Total questions: 45

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
A high school has 1500 students.  In a random sample of 50 students, 32 own one or more pets.  Predict the number of students at the high school who own one or more pets.
a)
480
b)
960
c)
48
d)
96
2.
A small town as 2,500 residents.  In a random sample of 125 residents, 2 have the flu.  Predict the number of residents of the town who have the flu.
a)
20
b)
40
c)
200
d)
400
3.

A manufacturer fills an order for 4,200 smart phones. The quality inspector selects a random sample of 60 phones and finds that 4 are defective. How many smart phones in the order are likely to be defective?

a)

70 smart phones

b)

900 smart phones

c)

1,050 smart phones

d)

280 smart phones

4.

There are 600 students at Hilda’s school. Out of 30 students she surveys, 8 of them ride their bikes to school. Estimate how many students ride their bikes to school from the population.

a)

160 students

b)

20 students

c)

74 students

d)

240 students

5.

A random sample of dogs at different animal shelters shows that 12 of 60 dogs are puppies. The cities shelters collectively house 1,200 dogs each year. Estimate how many are puppies.

a)

50 puppies

b)

240 puppies

c)

20 puppies

d)

600 puppies

6.

A bag contains:


• 5 red marbles

• 6 blue marbles

• 3 green marbles

• 4 black marbles

• 2 yellow marbles


A marble will be drawn from the bag and replaced 200 times. What is a reasonable prediction for the number of times a yellow or green marble will be drawn?

a)

20

b)

30

c)

50

d)

40

7.

A store manager selects 30 cartons of eggs and finds 4 cartons that have cracked eggs. If the store has 105 cartons of eggs, how many cartons can she expect to have cracked eggs in them?

a)

15 cartons

b)

7.5 cartons

c)

26 cartons

d)

14 cartons

8.

Part of the population of 4,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of them are infected. How many elk are likely to be infected?

a)

720 elk

b)

400 elk

c)

90 elk

d)

562.5 elk

9.

In a game, the probability of winning is 1 out of 5. How many times could Lisa expect to win if she plays the game 85 times?

a)

17

b)

34

c)

68

d)

80

10.

Jason has two number cubes, labeled 1 through 6. This gives him 36 total possibilities. He will roll the cubes 300 times and then add the results after each roll. About how many times should Jason roll a sum of 5?

Hint: A sum of 5 is (1,4) (2,3) (3,2) (1,4)

a)

25

b)

33

c)

48

d)

112

11.

A coin was tossed 80 times, out of which it landed on heads 60 times. What percent is this, out of 100?

a)

20%

b)

25%

c)

50%

d)

75%

12.

Susan has a number cube labeled 1 to 6. She will roll the cube 100 times. How many times could Susan expect to roll an even number?

a)

3

b)

25

c)

50

d)

60

13.

Kris has a bag that contains only red marbles, green marbles, and purple marbles. Kris pulls a marble from the bag, records the color of the marble and puts it back in the bag. She performs 25 pulls and draws 8 red marbles, 12 green marbles, and 5 purple marbles. Based on the data, about how many times would Kris pull a red marble if she performed 1,000 pulls?

a)

200

b)

320

c)

330

d)

470

14.

Robert will roll a number cube, labeled 1 through 6, a total of 200 times. About how many times could Robert expect to roll a number greater than 4?

a)

30

b)

50

c)

70

d)

100

15.

Kaitlyn has 7 white chips, 5 red chips, and 8 blue chips in a bag. Without looking, Kaitlyn pulls a chip out, records the color, and puts it back in the bag. She does this 200 times. About how many times could Kaitlyn expect to pull out a blue chip?

a)

25

b)

65

c)

80

d)

95

16.

Fred will spin the spinner below 150 times. About how many times could Fred expect the spinner to land on blue?

a)

30

b)

38

c)

50

d)

60

17.

Your scale is 1 inch to 5 miles. If the drawing shows a road that is 2 inches long, how many miles is the actual road?

a)

5 miles

b)

2.5 miles

c)

10 miles

d)

7 miles

18.
A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km 
19.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
20.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

21.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
22.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
23.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. How wide is the actual park?

a)

40 yd

b)

56 yd

c)

200 yd

d)

378 yd

24.
The scale model of a building is 6.5 inches tall. How tall is the actual building if the scale used for the model is 1 inch = 150 feet?
a)
650 feet
b)
840 feet
c)
900 feet
d)
975 feet
25.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
26.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
27.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
28.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
29.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
30.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
31.

what is the length of x?

a)

41

b)

60

c)

1

d)

20

32.

what is the length of x?

a)

5

b)

4

c)

20

d)

8

33.

Kolton can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Kolton mow per hour?

a)

2 acres/hour

b)

1/2 acres/hour

c)

9/24 acres/hour

d)

2 2/3 acres/hour

34.

Jashon's pet snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?

a)

1/40 m/h

b)

5/18 m/h

c)

1 1/2 m/h

d)

3 3/5 m/h

35.

Saniyah drank 1/4 of a milkshake in 1/10 of an hour. How long will it take her to drink a whole milk shake?

a)

5/2 hours per milkshake

b)

2/5 hours per milkshake

c)

3/4 hours per milkshake

d)

4/3 hours per milkshake

36.

Johan plays 1/3 of a song in 1/4 of a minute. How many minutes will he need to play a full song?

a)

3/4 minutes per song

b)

1/2 minutes per song

c)

1/3 minutes per song

d)

3 minutes per song

37.
a)

A

b)

B

c)

C

d)

D

38.
a)

A

b)

B

c)

C

d)

D

39.
a)

A

b)

B

c)

C

d)

D

40.
a)

A

b)

B

c)

C

d)

D

41.

Solve this proportion:

n10=4.75\frac{n}{10}=\frac{4.7}{5}  

a)

n=2

b)

n=9.4

c)

n=2.35

d)

n=0.5

42.

Solve this proportion:

z7=2428\frac{z}{7}=\frac{24}{28}  

a)

z=6

b)

z=11

c)

z=4

d)

z=168

43.

73=4t\frac{7}{3}=\frac{4}{t}  

a)

t=127t=\frac{12}{7}  

b)

t=283t=\frac{28}{3}  

c)

t=1.7t=1.7  

d)

t=9.3t=9.3  

44.
a)

x=9

b)

x=12

c)

x=18

d)

x=1

45.

125=5n\frac{12}{5}=\frac{5}{n}  

a)

n=12n=12  

b)

n=2512n=\frac{25}{12}