Ratios
Convert this
4oz to 2 pounds
What is 1/8
Turn this into a unit rate $120 for 5 days of work
$24
Two similar triangles have a scale factor of 2 from Triangle A to Triangle B.
If a side of Triangle A measures 7 cm, what is the measure of the side of Triangle B?
14 cm
A rectangle has a length of 12 cm. The rectangle is dilated by a scale factor of 1/2.
What is the length of the dilated rectangle?
6 cm
A statue casts a 43.5 inch shadow as a tourist casts a 32 inch shadow. If the tourist is 64 inches tall, how tall is the statue?
87 in
compare these with greater than less than or equal to
6 case for $48. 14 case for $88
What is less than
A car travels 180 miles in 3 hours. What is the unit rate in miles per hour?
What is 60 mph
Square A has a perimeter of 16 cm. Square B is similar to it with a scale factor of 2. What is the perimeter of Square B?
32 cm
A square has a perimeter of 20 cm. It is dilated by a scale factor of 2.5.
What is the perimeter of the new square?
50 cm
A lamppost casts a shadow of 8 meters. A 1.6-meter-tall person standing nearby casts a shadow of 2 meters.
What is the lampposts height?
6.4 m
What’s the better buy 4 shirts for 20 dollars or 6 shirts for 24 dollars
What is 6 shirts for 24 dollars
A runner runs 5 miles in 40 minutes. What is the runner’s speed in miles per minute?
5 miles ÷ 40 minutes = 0.125 miles per minute
(1/8 mile per minute)
Triangle A and Triangle B are similar.
A side of Triangle A is 10 cm and the side of Triangle B is 15 cm.
Another side of Triangle A is 8 cm.
What is the length of the side of Triangle B?
12 cm
A triangle has a side length of 8 cm, and after dilation, the corresponding side is 20 cm.
Find the scale factor
20/8 or 2.5 or 2 1/2
A 1.75-meter-tall person casts a shadow of 2.4 meters. At the same time, a tree casts a shadow of 9.6 meters.
What is the height of the tree?
7 m
express the fraction in simplest form
2lbs. To. 6oz
16/3
A plane travels 1,500 miles in 2.5 hours. What is its speed in miles per hour?
1,500 miles ÷ 2.5 hours = 600 miles per hour
Two triangles are similar.
One angle in a triangle measures 42°.
What is the angle in the second triangle?
42° (They are congruent)
Triangle ABC has the coordinates:
A (2, 1) B. (4, 3) C. (3, 5)
The scale factor is 0.5
Find the new coordinates
A (1, 0.5) B. (2, 1.5) C. (1.5, 2.5)
A stick is 1 1/4 meters tall and casts a shadow of 0.75 meters. A tower casts a shadow of 11.25 meters.
What is the height of the tower?
18.75 m
Express each ratio as a fraction in simplest form
6ft to 14 inches
36/7
Two students read at different paces:
Student A reads 45 pages in 90 minutes.
Student B reads 60 pages in 120 minutes.
Who reads the fastest, or do they read at the same pace?
They read at the same pace
Student A: 45 ÷ 90 = 0.5 pages per minute
Student B: 60 ÷ 120 = 0.5 pages per minute
Two similar pentagons have a scale factor of 3/2 from the smaller to the larger pentagon. If the smaller one perimeter is 24 cm, what is the larger pentagon's perimeter?
36 cm
A square has a side of 4 cm. It's dilated by a scale factor of 3.
a. Find the side length of the dilated square.
b. Find the perimeter of the dilated square.
a. 12
b. 48 cm
A 1.6 meter tall building casts a shadow of 2.3 meters. Another building casts a shadow of 18.4 meters.
What is the height of the building?
12.8 m