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M.S. Problems
Middle School
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Middle School: Measurement
Students in grades 6-8 are expected to understand both metric and
customary systems of measurement; understand relations among units
and be able to convert from one unit to another within the same
system; and understand, select, and use units of appropriate size and
type to measure angles, perimeter, area, surface area, and volume.
They should be able to select appropriate measurement tools, apply
appropriate techniques, tools, and formulas, and choose appropriate
levels of precision.
Problems that allow middle-school students to practice measurement,
including dates and time, temperature, and terms and units of measure,
are listed below. They address the
NCTM
Measurement Standard for Grades 6-8: understanding measurable
attributes of objects and the units, systems, and processes of
measurement, and applying appropriate techniques, tools, and formulas
to determine measurements.
For background information elsewhere on our site, explore the
Middle School Terms and
Units of Measurement area of the Ask Dr. Math archives.
To find relevant sites on the Web, browse and search
Measurement in our Internet
Mathematics Library; to find middle-school sites, go to the bottom of
the page, set the searcher for middle school (6-8), and press the
Search button.
Access to these problems requires a Membership.
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The Big Picture!
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A picture is enlarged to four times its area.
... more>>
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Building Fences
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36-yard fence.
... more>>
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Buying Cola
- Leon Roland & class
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Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
... more>>
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Canadian Soccer
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps.
... more>>
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Dividing Daffodils
- Suzanne Alejandre
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Pre-Algebra, difficulty level 4. Help us plant our garden of daffodils.
... more>>
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Downhill All the Way
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Starting at 10,000 feet above sea level, descending a 6% grade followed by a 4% grade will put a car how many feet above sea level?
... more>>
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Ducky Promenade
- Leon Roland & class (poetry by Annie Fetter)
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Pre-Algebra, difficulty level 3. Find the weight of a duckling and two ducks after reading this poem.
... more>>
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He Ate It All!
- Mr. Marthinsen's Geometry Class
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Pre-Algebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
... more>>
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How Big?
- Judy Ann Brown
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Middle School, difficulty level 1. The dimensions of my classroom are consecutive multiples of ten. Find the dimensions of the room.
... more>>
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How Large is the Patio?
- Judy Ann Brown
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Middle School, difficulty level 2. The Smiths are putting new flagstone on their patio. How many square feet will the patio cover?
... more>>
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How Wide Is My Garden?
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
... more>>
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I Get A Kick Out Of Soccer!
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile?
... more>>
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Inching Along Down the Football Field
- Terrel Trotter
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Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch?
... more>>
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Luscious Lemonade
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade?
... more>>
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Mirror Musing
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is.
... more>>
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New Home for Fibonacci and Fractal
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15-gallon aquarium.
... more>>
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The Nutty Squirrel
- Alice Miller
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Pre-Algebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel?
... more>>
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Palindrome Day
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. How many Palindrome Days are there in a year?
... more>>
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Peanut's Back Yard
- Jonathan Bauer
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Pre-Algebra, difficulty level 3. Peanut, the overexcited dog, makes 40 laps around a stake and travels a total distance of 1 mile. If his bowl of water is 20 feet away from the stake, can he get a drink?
... more>>
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Pouring the Punch
- Neil Bress
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Pre-Algebra, difficulty level 3. The Refreshments Committee needs to pour exactly four liters of eggnog using only three-liter and five-liter measures.
... more>>
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Power Outage
- Jackson Geometry Class
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Pre-Algebra, difficulty level 3. The power went out. Use the current reading on the clocks to determine when the power went out, and for how long.
... more>>
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Price Fluidity
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Compare the per-gallon cost of eleven different liquids, and put them in order from least to most expensive.
... more>>
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Quilting Squares
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Help with some quick calculations of the amount of fabric needed for this quilt design.
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Sailing Around the World
- Leon Roland & class
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Pre-Algebra, difficulty level 2. Determine the amounts of the supplies that Giuseppi Linguini will need to sail around the world.
... more>>
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Seesaw
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. How did the four friends balance on the seesaw?
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The Silver Mile
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Determine the total value of the coins in a silver mile.
... more>>
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Spring Garden Planning
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
... more>>
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Temperature Change
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Use the given information to find the temperature.
... more>>
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Three-dimensional Television
- Mr. Marthinsen's Geometry Class
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Pre-Algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
... more>>
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Tiling Triangles
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
... more>>
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Valley Springs Snow Cream
- Kelly Crisp
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Pre-Algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
... more>>
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Wilda's Swamp Water
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Measure 8 quibits of swamp water using only 6-quibit and 10-quibit containers.
... more>>
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