TOPICS
This page:
measurement
About Levels
of Difficulty
Algebraic
Reasoning
distanceratetime
Arithmetic
estimation
exponents & roots
factors, factoring, &
prime numbers
fractions, decimals &
percents
measurement
pi
ratio & proportion
Discrete Math
combinations &
permutations
graph theory
Geometry
area
circumference &
perimeter
Pythagorean...
volume
Logic
Patterns
Probability
Statistics
Browse all
M.S. Problems
Middle School
Home
About the
PoW Library

Middle School: Measurement
Students in grades 68 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 middleschool 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 68: 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 middleschool sites, go to the bottom of
the page, set the searcher for middle school (68), and press the
Search button.
Access to these problems requires a Membership.

The Big Picture!
 Judy Ann Brown

PreAlgebra, difficulty level 3. A picture is enlarged to four times its area.
... more>>

Building Fences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36yard fence.
... more>>

Buying Cola
 Leon Roland & class

PreAlgebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
... more>>

Canadian Soccer
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps.
... more>>

Dividing Daffodils
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help us plant our garden of daffodils.
... more>>

Downhill All the Way
 Judy Ann Brown

PreAlgebra, 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>>

Ducky Promenade
 Leon Roland & class (poetry by Annie Fetter)

PreAlgebra, difficulty level 3. Find the weight of a duckling and two ducks after reading this poem.
... more>>

He Ate It All!
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
... more>>

How Big?
 Judy Ann Brown

Middle School, difficulty level 1. The dimensions of my classroom are consecutive multiples of ten. Find the dimensions of the room.
... more>>

How Large is the Patio?
 Judy Ann Brown

Middle School, difficulty level 2. The Smiths are putting new flagstone on their patio. How many square feet will the patio cover?
... more>>

How Wide Is My Garden?
 Judy Ann Brown

PreAlgebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
... more>>

I Get A Kick Out Of Soccer!
 Judy Ann Brown

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>>

Inching Along Down the Football Field
 Terrel Trotter

Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100yard 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>>

Luscious Lemonade
 Judy Ann Brown

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>>

Mirror Musing
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is.
... more>>

New Home for Fibonacci and Fractal
 Judy Ann Brown

PreAlgebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15gallon aquarium.
... more>>

The Nutty Squirrel
 Alice Miller

PreAlgebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel?
... more>>

Palindrome Day
 Judy Ann Brown

PreAlgebra, difficulty level 2. How many Palindrome Days are there in a year?
... more>>

Peanut's Back Yard
 Jonathan Bauer

PreAlgebra, 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>>

Pouring the Punch
 Neil Bress

PreAlgebra, difficulty level 3. The Refreshments Committee needs to pour exactly four liters of eggnog using only threeliter and fiveliter measures.
... more>>

Power Outage
 Jackson Geometry Class

PreAlgebra, 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>>

Price Fluidity
 Judy Ann Brown

PreAlgebra, difficulty level 2. Compare the pergallon cost of eleven different liquids, and put them in order from least to most expensive.
... more>>

Quilting Squares
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Help with some quick calculations of the amount of fabric needed for this quilt design.
... more>>

Sailing Around the World
 Leon Roland & class

PreAlgebra, difficulty level 2. Determine the amounts of the supplies that Giuseppi Linguini will need to sail around the world.
... more>>

Seesaw
 Suzanne Alejandre

PreAlgebra, difficulty level 3. How did the four friends balance on the seesaw?
... more>>

The Silver Mile
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the total value of the coins in a silver mile.
... more>>

Spring Garden Planning
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
... more>>

Temperature Change
 Judy Ann Brown

PreAlgebra, difficulty level 2. Use the given information to find the temperature.
... more>>

Threedimensional Television
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
... more>>

Tiling Triangles
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
... more>>

Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
... more>>

Wilda's Swamp Water
 Judy Ann Brown

PreAlgebra, difficulty level 3. Measure 8 quibits of swamp water using only 6quibit and 10quibit containers.
... more>>
Page: 1
