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Quarter 3 Test 3

XLIII. Ratios and Rates

XLIV. Proportions

XLV. Customary Units of Measure

XLVI. Similar Figures

Oscar gets 2 hits out of his every 5 times he comes up to bat. How many hits would you expect him to have in 60 at bats?

2 x =

5 60

2(60)=5(x)120=5x 5 5x = 24 hits

Jason averages 4 earned runs for every 9 innings he pitches. How many earned runs would he have if he pitched 45 innings?

4 = x 9 45

4(45)=9(x)180=9x 9 9 x = 20 earned runs

In 1 hour Arthur hikes 3 miles. At the same rate, how long will it take him to hike 12 miles?

1 = x 3 12

1(12)=3(x)12=3x 3 3

x = 4 hours

4cm

6cm

6cm

n

4 = 6

6 n

6(6)=4(n)36=4n 4 4n = 9

The rectangles are similar. What is the length of n?

RST is similar to XYZ. What is the length of XY?

Y

ZXT

S

R 10m

14m10m

x

4m

4m

10 = 414 x

10(x)=14(4)10x= 5610 10 x = 5.6m

Find the length of h.

h

72cm

18cm

6cm

h = 672 18

18(h)=6(72)18h=432 18 18 h = 24cm

Compare. Write <,> or =.

1) 52ft_______18yd2) 5gal 2qt_______ 24qt3) 72in_______6ft4) 256oz______15lb 4oz5) 36lb________524oz6) 12T 850lb______25,000lb7) 100qt______25gal

1) <2) <3) =4) >5) >6) <7) =

Which is the Better Buy?Give the rate and the unit rate.

3 apples for $.75 or 9 apples for $2.10

$.75 = $.25

3 1$2.10 = $.23

9 1

The 9 apples for $2.10 is a better buy.

Customary Units of Measure

1) 3ft=_____ in.2) 24yd=_____ft3) 10,560ft=______m

i4) 4lb 15oz=______oz5) 7pt=________c6) 4.5T=_______lb7) 4 3/4lb=_______oz

1) 36in2) 72ft3) 2mi4) 79oz5) 14c6) 9000lb7) 76

If 2 ½ inches on a map represents 750 miles, how many miles are represented

by 4 inches?

2.5 = 4

750 x

x = 1200 miles

A mother giraffe is 18.7 feet tall. Her baby is 5.25 feet tall. The baby giraffe casts a shadow that is 35.7 feet long. How long is the mother giraffe’s

shadow?

height 18.7 = 5.25

shadow x 35.7

18.7(35.7) = 5.25 x

667.59 = 5.25 x

5.25 5.25

x = 127.16 ft

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