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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. - PowerPoint PPT Presentation
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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) =