Ratios and Rates
Proportions
Sim. and Cong.
Scale Drawing
Everything
100
Write the ratio as a fraction in simplest form. 18 to 66
3 / 11
100
Do the ratios form a proportion? 12/30 , 18/45
Yes; both reduce to 2/5
100

What is the difference between similar and congruent?

Similar has the same shape, but not the same size. Congruent is the same shape and same size.

100

What is the actual distance? Scale 1 cm : 5 kilometers Map Length:37 cm

185 kilometers

100
Find the unit rate. 27 points per 3 quarters
9 points / 1 quarter
200
Find the unit rate. $320 per 4 people
$80 / 1 person
200
Solve the proportion. t/12 = 20/8
t = 30
200

Label the corresponding angles.



C and P, A and T,  E and S

200

What is the distance on the map? Scale 1 in : 3 km Actual Length 0.9 km

0.3 inches

200
Solve the proportion. 8/w = 1.2/3
w = 20
300

Find the unit rate. $161 shares per 7 shares

$23 per 1 share

300
Solve the proportion. 0.8/a = 3.2/8
a = 2
300

Label the corresponding sides.

CA and PT, AE and TS, CE and PS

300

What is the actual distance? Scale 1 mm : 24 inches Drawing Length: 32 mm

768 inches

300
Order the ratios least to greatest. 64/25, 9 to 40, 59 : 20, 53/25, 37 : 20
9 to 40, 37 : 20, 53/25, 64/25, 59 : 20
400
Order the ratios least to greatest. 7 : 11, 8 : 12, 6 to 10, 1/2, 7 to 4
1/2, 6 to 10, 7 : 11, 8 : 12, 7 to 4
400
Solve the proportion. 36/54 = 18/x + 5
x = 22
400

Solve for x and y. 

x = 16 and y = 10

400

Find the distance on the map. Scale 1 cm : 14 miles Actual Distance: 112 miles

8 cm

400

What is the distance on the map? Scale 1 ft : 16 miles Actual Distance: 192 miles

12 ft

500
Marsh sells 12 apples for $3.03. Kroger sells 17 apples for $4.03. Which store has the better unit rate (price per apple).
Kroger = $.24 / 1 apple
500
You travel 24 miles in 2 hours while biking. How far can you bike in 5 hours? Write and solve the proportion.
24 miles/ 2 hours = x miles / 5 hours 60 miles
500

Solve for x. 

x=20

500

A carpenter is building a house from an architect's blueprint. The blueprint has a scale of 1 in : 4 ft. What is the actual length of the house is the length on the map is 17 inches?

119 feet

500

Find the missing length. Round to the nearest tenth if needed. 

h=20.7

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