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 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 ~ P A ~ T E ~ S
200
What is the distance on the map? Scale 1 in : 3 kilo .9 km
.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 ~ PT AE ~ TS CE ~ PS
300
What is the actual distance? Scale 1 mm : 24 inches 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

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

400

Find the missing length (x). 

20

400
Find the distance on the map. Scale 1 cm : 14 miles 112 miles
8 cm
400
What is the distance on the map? Scale 1 ft : 16 miles 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

Solve the proportion. 36/54 = 18/x + 5

x=22

500

Find the missing side lenghts. 

x=16, y = 10

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?

68 feet

500

Find the missing length. 

21

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