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Lesson 65 - Application Using Similar Triangles

Total questions: 16

Worksheet time: 20mins

Name
Class
Date
1.

Twelve of the 28 students are boys. If the teacher called a student at random, what is the probability that a girl will be called?

a)

3/7

b)

4/7

c)

12%

d)

16%

2.

The ratio of cars to trucks in the lot was 5 to 2. If there were 70 cars and trucks altogether, how many were trucks?

a)

10

b)

50

c)

20

d)

None of the options were correct

3.

Look at the triangle. AB = 3.5 cm, BD = 7 cm and AC = 2.4 cm.

What is the length of AE?

a)

7.2 cm

b)

4.8 cm

c)

1.2 cm

d)

None of the options were correct

4.

Look at the triangle. AB = 3.5 cm, BD = 7 cm, and AC = 2.4 cm.

What is the scale factor of triangle ABC to the triangle ADE?

a)

3

b)

2

c)

1/2

d)

1/3

5.

The palm tree's shadow is about 84 m long, while the shadow of the girl is about 12 m long. If the height of the woman is 2 m, what is the height of the palm tree?

a)

3.5 m

b)

7 m

c)

9 m

d)

14 m

6.

A recipe calls for 5 cans of stew and 2 cans of chili. To feed the group it

will take 210 cans total. How many of the 210 cans should be chili?

a)

60 cans

b)

150 cans

c)

84 cans

d)

525 cans

7.

The beagle buried 5 big bones and 3 small ones. For how long must the

beagle search for the bones if it takes 4 minutes to find each big bone

and 10 minutes to find each small one?

a)

22 minutes

b)

1 hour 2 minutes

c)

50 minutes

d)

1 hour

8.

Lines a and b are parallel. Find m∠x.

a)

60-degree

b)

120-degree

c)

180-degree

d)

None of the options were correct

9.

A rectangular prism has a 10 mm square base and a height of 20 mm.

What is its surface area?

a)

2000-cubic milimeters

b)

1000-cubic milimeters

c)

1000-cubic meters

d)

2000-cubic meters

10.

A rectangular prism has a 10 mm square base and a height of 20 mm.
A rectangular pyramid has a 10 mm square base and a height of 20 mm.

Which has the greater volume?

a)

The rectangular prism

b)

The rectangular pyramid

c)

Both of them have the same volume.

11.

Find the value of x.

0.8 + 0.3x = 5

(a)  

12.

Graph the solutions to this inequality on a number line.

x + 5 > 1

(a)  

13.

Graph the solutions to this inequality on a number line.

2x + 1 ≤ −1

(a)  

14.

Convert 90 meters per minute to meters per second.

(a)  

15.

5 workers could finish 5 foundations in 5 hours.

How much time would a worker need to finish one foundation?

(a)  

16.

Challenge question! Use logic to answer this.

Two people were born at the same moment, but they don't have the same birthdays. How could this be?

(a)