Quarter 3 Test 3

XLII. Ratios and Rates

XLIII. Proportions

XLIV. Percents, Fractions & Decimals

XLV. Problem Solving with Percents

XLVI. Sales Tax, Discounts & Tipping

XLVII. Similar Figures

XLVIII. Customary Units of Measure

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

Find the discount and the sale price.

List Price: $24

Rate of discount 10%

Discount=________

Sale Price=_________

$24 x.10$2.40

$24 - 2.40 = $21.60original price discount sale price

In a high school survey, it was found that 240 of 600 students walk to school. What percent of the students walk to school?

240 = .40=40%

600 OR

240 = 2

600 5

2 = p5 100

2(100)=5p200 = 5p 5 5 p = 40%

There are 650 muscles in the human body. It takes 17 muscles to smile. To the nearest percent, what percent of all your muscles are needed to smile?

17 = .026 (100) = 2.6% 3%650

fraction decimal percent rounded to nearest percent

Between 1924 and 1998, the United States won a total of 161 medals in the Winter Olympic Games. If the United States won 59 silver and 42 bronze medals rounded to the nearest percent, what percent of its medals were gold medals?

59+42=101 (silver + bronze)160-101= 59 (total – silver + bronze = gold) 59=.368 160 decimal fraction

.368(100) = 36.8% 37%

In a School election, 48% of the 200 voters voted for Tara. How many people did not vote for Tara?

200(.48) = 96 people voted Tara therefore200 – 96 = 104 did not vote for Tara

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) =

A Pair of sneakers, regularly priced at $84, is on sale for 20% off. Find the sale price.

84(.20)=16.80

84-16.80=$67.20

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.

If the dinner bill was $82.12 and you wanted to leave a 20% tip for the waiter, what would the cost of the

dinner and the tip be?

.2(82.12) =16.40 (round to the nearest dollar) = $16

$82.12 + $16 = $98.12cost of dinner tip dinner including tip

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

Compare Use <, > or =.

1) 75%_____ 3/5

2) 324%_____31/4

3) 27%_____ .027

4) .375_______ 6/16

5) .4000______40%

1) >

2) <

3) >

4) =

5) =