Download CCSS Weekly problems # 2: measurement/ratio/proportion Name

CCSS Weekly problems # 2: measurement/ratio/proportion
Choose 10
Issued: ________
Due: __________
Name ___________________________
D ate _____
Hour _____
1) When working on a report for class, Catrina read that a woman over the age of 40 can lose approximately 0.06
centimeters of height per year.
Catrina's aunt Nancy is 40 years old and is 5 feet 7 inches tall. Assuming her height decreases at this rate after the age of
40, about how tall will she be at age 65? (Remember that 1 inch = 2.54 centimeters.)
2) The students in Mr. Sanchez's Geography class are converting distances measured in miles to kilometers. To
estimate the number of km, Abby takes the number of miles, doubles it, then subtracts 20% of the result. Renato
first divides the number of miles by 5, then multiplies the result by 8.
a. Write an algebraic expression for each method.
Are they the same ?
3) Malia found a "short cut" to find the decimal representation of the fraction
137
. Rather than use long division
250
she noticed that because , 4 x 250 = 1000. She could multiply 137 x 4 also to get 548. This results in the fraction
548
 0.548 as a decimal.
1000
For which of the following fractions does Malia's strategy work to find a decimal representation? Circle them.
3
4
2
33
7
8
13
200
7
15
4) Aaron, Ben, Chris and Donna all live on the same street as their school, which runs from east to west. Aaron
lives 3
2
1
1
3
blocks to the west. Ben lives 5 blocks to the east. Chris lives 4 blocks to the west. Donna lives
2
2
4
1
blocks to the east.
4
a. Represent the relative position of the houses on a number line, with the school at zero, points to the west represented by
negative numbers, and points to the east represented by positive numbers.
0
b. Find how far is each house from every other house?
5) The three seventh grade classes at Sunview Middle School collected the most boxtops for a school fundraiser,
and so they won a $600 prize to share among them. Mr. Aceves’ class collected 3,760 box tops, Mrs. Baca’s class
collected 2,301, and Mr. Canyon’s class collected 1,855. How should they divide the money so that each class gets
the same fraction of the prize money as the fraction of the box tops that they collected?
Mr. A =
Mr. B =
Mr. C. =
6) Molly ran ⅝ of a mile in 8 minutes. If she runs at that speed, how long will it take her to run 2 miles?
7) Juan wants to know the cross-sectional area of a 100 cm circular plastic pipe. He measures the diameter which
he finds to be 5 centimeters.
a) To find the volume of the cylinder, Juan uses the formula V = πr2h where V is the volume of the cylinder, h is its height
and r is its radius. He uses 3.14 for π. What is the volume of the pipe?
b) If the plastic of the pipe is .5 cm thick, how much volume is in the open part of the pipe?
8) Angel and Jayden were at track practice. The track is
Angel ran 1 lap in 2 minutes.
2
kilometers around.
5
Jayden ran 3 laps in 5 minutes.
a. How many minutes does it take Angel to run one kilometer?
b. How far does Angel run in one minute?
What about Jayden?
What about Jayden?
c. Who is running faster?
9) Jamaican sprinter Usain (Lightning) Bolt won the 100 meter sprint gold medal in the 2012 Summer Olympics.
He ran the 100 meter race in 9.63 seconds. There are about 3.28 feet in a meter and 5280 feet in a mile. What was
Usain Bolt's average speed for the 100 meter race in miles per hour?
10) Dylan ran a 400 meter race with the following interval times and distances: 100 m in 14 seconds, 200 m in 28
seconds, 300 m in 43 seconds, 400 m in 56 seconds.
a) Is the relationship proportional?
b) What was his average speed in miles per hour?
11) In order for a relationship to be proportional, what two criteria must be met?
a) _____________________________________ b) ___________________________________________
12) Noel can rent bicycles for her family from two different companies. Smooth ride will rent her bikes for $20 per
day with no additional cost. Pump It Up will rent bikes for $15 per day, but charges a one-time user fee of $30.
a) Which company uses a proportional relationship?
b) Which company should she choose to rent bikes?
13) Which is the best deal on soda? 12 – 12 oz. cans for $2.49
8 – 20 oz. bottles for $2.99
1 – 67.6 oz. bottle for $1.09
6 – 8 oz. mini-cans for $0.89