Grade 4 Practice Problems: Measurement
Examples from Standards Revision and GLEs
4M-21) Answer: 3,105 feet
A heavy weight attached to a cable was lowered from a ship in the Pacific Ocean. If the weight falls at a rate of 230 feet per minute, how deep will it be after 13 and a 1/2 minutes. Write to help explain your best thinking using words, numbers, or pictures.
4M-20) Answer: 239 feet
Heather went hiking in the mountains. On Tuesday she began at an elevation of 2,134 feet and hiked 7 miles to an elevation of 3,847 feet. On Wednesday she descended 5.5 miles and stopped at an elevation of 1,895 feet. What is the difference between her beginning and ending elevation? Write to help explain your best thinking using words, numbers, or pictures.
4M-19) Answer: 9:22 P.M.
Patty woke up at 7:42 A.M. to get ready for school. She had slept for 10 and 1/3 hours. What time did she do to bed? Write to help explain your best thinking using words, numbers, or pictures.
4M-18) Answer: 10:26 A.M.
It takes 47 minutes to get from George’s house to the ferry dock. If his boat leaves at 11:13 A.M. what is the latest possible time he can leave home? Write to help explain your best thinking using words, numbers, or pictures.
4M-17) Answer: 5 stacks and 2 left over
Pam has $5.50 all in quarters. She puts them into stacks of four. How many stacks will she have and how many quarters will be left over? Write to help explain your best thinking using words, numbers, or pictures.
4M-16) Answer: pennies
It's your birthday! You have a choice of three presents from your parents. Present #1 is the equivalent of your height in dollar bills, placed end to end. Present #2 is the equivalent of your height in nickels, placed end to end. Present #3 is the equivalent of your height in pennies, stacked on top of one another. Which present would you choose? Write to help explain your best thinking using words, numbers, or pictures.
4M-15) Answer: 204 feet
David is climbing Mt. Cauliflower, which is 287 feet above the ground. He is 83 feet from the top. How far above the ground is he? Write to help explain your best thinking using words, numbers, or pictures.
4M-14) Answer: 1 hour
If the doctor gave Jane 3 pills, with directions to take one pill every half hour, how long will the three pills last? Write to help explain your best thinking using words, numbers, or pictures.
4M-13) Answer: two coins each
Anita has 30 cents in nickels and dimes. She has the same number of nickels as dimes. How many of each does she have? Write to help explain your best thinking using words, numbers, or pictures.
4M-12) Answer: 18
Doug was daydreaming about his fishing trip when the bus-driver said, "Put 32 cents in the meter please!" Doug reached in his pocket, found the right coins and put them in the meter. How many different combinations of coins could Doug have put in the meter? Write to help explain your best thinking using words, numbers, or pictures.
4M-11) Answer: 3 nickels, 10 pennies
Mary Ellen and Sam were at the park, clapping for the monkey as it did tricks to the music. When the monkey passed the hat, Mary Ellen and Sam put in 13 coins. Together they gave the monkey 25 cents. What coins did they put in the hat? Write to help explain your best thinking using words, numbers, or pictures.
4M-10) Answer: 6
Evan and Dan are picking out the wood they need to build a playhouse. They need 24 feet of board. The lumber store sells boards in three lengths: 4 feet, 6 feet, and 12 feet. In how many different ways could they buy 24 feet of board? Write to help explain your best thinking using words, numbers, or pictures.
4M-9) Answer: Megan-$22; Tara-$14
Megan and her sister Tara wanted to buy a bicycle their neighbor was selling for $36. Tara had saved $8 less than Megan, but the girls put their money together and bought the bike. How much money had each girl saved? Write to help explain your best thinking using words, numbers, or pictures.
4M-8) Answer: Adam gives 1 cent to Laura and Eric gives 5 cents to Laura
Eric has 1 quarter and 6 pennies. Laura has 2 dimes. Adam has 4 nickels and 7 pennies. How can they share the coins so that each person has the same amount of money? Write to help explain your best thinking using words, numbers, or pictures.
4M-7) Answer: 50 cents - juice; $1.50 - ice cream cone
The total cost of a glass of juice and an ice-cream cone is $2. If the ice-cream cone cost $1 more than the glass of juice, how much does each item cost? Write to help explain your best thinking using words, numbers, or pictures.
4M-6) Answer: 4 cm
One strip of paper is 8 cm long. Another strip is 6 cm long. The two strips are taped together to make a strip that is 10 cm long. How long is the overlap? Write to help explain your best thinking using words, numbers, or pictures.
4M-5) Answer: 3 pennies + 2 quarters + 2 dimes + 1 nickel or 3 pennies + 1 half dollar + 1 dime + 3 nickels
Carol has 8 coins. Their total value is 78 cents. What coins does she have? Write to help explain your best thinking using words, numbers, or pictures.
4M-4) Answer: 16 oz. can for $1.15
A grocery store sells three different-sized cans of orange juice. A 6-oz can costs 55 cents. A 16-oz can costs $1.15. A 32-oz can costs $2.79. Which is the best buy? Write to help explain your best thinking using words, numbers, or pictures.
4M-3) Answer: 1 adult; 4 children
Tickets for a roller coaster ride cost $2 for adults and $1.50 for children. A group of people paid a total of $8 to ride the roller coaster. How many adults and how many children were in the group? Write to help explain your best thinking using words, numbers, or pictures.
4M-2) Answer: 1 quarter (not a nickel) and 1 nickel
Jim has two coins that total 30 cents. What are the two coins if one coin is not a nickel? Write to help explain your best thinking using words, numbers, or pictures.
4M-1) Answer: 9 quarters
Duke and Donna each have ten coins. All coins are either dimes or quarters. Duke has 5 quarters, Donna has 60 cents more than Duke. How many quarters does Donna have? Write to help explain your best thinking using words, numbers, or pictures.
Expectations & Examples of Measurement from teh 2008 Math Standards Revisions (draft) - Grade 4
Find the approximate area of a two-dimensional figure using square units. This might involve filling a shape with square-inch tiles. Differentiate between problem situations that require linear measurement and those that require area measurement. Examples:
Develop and use formulas for finding the perimeters and areas of squares and other rectangles.
Solve problems that involve perimeters and areas of rectangular shapes and explain solutions using words, numbers, pictures, physical materials, or equations. Include customary and metric units, such as square inches, square feet, square yards, square centimeters, and square meters. Find the areas of nonrectangular shapes that can be composed or decomposed into rectangles.
Demonstrate that rectangles with the same area can have different perimeters, and that rectangles with the same perimeter can have different areas. Example:
Solve problems involving simple unit conversions within a measurement system—such as centimeters to meters, hours to minutes, or inches to feet—and explain solutions using tools, pictures, numbers, or words. Estimate or find elapsed time using a calendar, or a digital or analog clock. |
Examples of Measurement from the 2006 GLEs – Grade 4
Demonstrate how area covers a figure and perimeter encloses an area. Illustrate the difference between perimeter and area with drawings. Describe situations where area is the needed measurable attribute. Describe objects using measurements of area. Describe pictorial representations of objects or figures illustrating area measurements Describe area measurements using different units. Explain how the linear measurement units are related to area measurement units. Determine the unit used to measure area. Explain why area is measured in square units Explain and cite examples of the system of standard units for time. Explain how standard units of weight are organized in the U.S. system. Convert between units in the U.S. system:
Show how to convert units of length, mass, and capacity within the metric system in order to answer a question. Suggested Procedure:
Measure length and perimeter using the suggested procedure. Measure area using the suggested procedure with manipulatives or grid paper and counting the square units. Demonstrate why a given measurement is correct or incorrect. Describe situations in which estimated measurements are appropriate. Explain a process that can be used to find a reasonable estimate of the area measurement of an irregular figure. Determine and explain whether estimation or precision is needed in a given situation. Use estimation to determine the area of a rectangle and record the number of units with a label. |