Grade 3 Practice Problems: Measurement
Examples from Standards Revision and GLEs
Temperature
3M-32) Answer: 94,120, 48, 16, 32, 85, 5
Place each number below in the blanks to create the most meaningful and realistic story. Write to help explain your best thinking using words, numbers, or pictures.
5 48 85 32 16 94 120 |
The high temperature yesterday was __________ degrees Fahrenheit, the highest it has been for the past ________ days. The low temperature was __________degrees Fahrenheit, about half the high, and only __________ degrees above freezing, (which is _________ degrees Fahrenheit). Tomorrow’s temperature is predicted to be __________ degrees Fahrenheit, which is ____________ degrees lower than yesterday’s high.
3M-31) Answer: 90, 85, 5, 40, 50, 10
Place each number below in the blanks to create the most meaningful and realistic story. Write to help explain your best thinking using words, numbers, or pictures.
90 5 40 10 50 85 |
The high temperature recorded yesterday was _________degrees Fahrenheit for Riverton and _________ for Oakdale. These temperatures differed by ____________ degrees, with Riverton being hotter. At night Riverton had a low temperature of ________ degrees, while Oakdale’s low temperature of __________ degrees was __________ degrees more than Riverton.
Time
3M-30) Answer: Varies—student should select activities to fill one hour.
Third graders were planning a class party. They made a list of activities they like. There party will be from 2:00 to 3:00 p.m. Help then choose activities and make a schedule for their party. Write to help explain your best thinking using words, numbers, or pictures.
Musical chairs 15 minutes |
Party Schedule
3:00 |
Linear Measurement
3M-29) Answer: Snail on Monday; Turtle on Tuesday
A snail and a turtle both started out on Monday toward a pond 32 inches away. An owl was watching them and told them how far they were at the beginning of each day of the race. By Tuesday both the snail and the turtle had 1 inches. By Wednesday the snail had traveled 2 inches, and the turtle had crawled 7 inches. By Thursday the snail was 4 inches from the start, and the turtle was 13 inches from it By Friday the snail was 8 inches from the start, and the turtle was 19 inches from it. If the snail and the turtle kept moving in the same ways, on what day will each animal reach the pond? Write to help explain your best thinking using words, numbers, or pictures.
3M-28) Answer: 52 inches
Tom is 4 feet tall. His brother, Hal, is 4 inches taller. How many inches tall is Hal? Write to help explain your best thinking using words, numbers, or pictures.
3M-27) Answer: 5 yards
The four-square court measures 15 feet on each side. How many yards is that? Write to help explain your best thinking using words, numbers, or pictures.
3M-26) Answer: 9 cm
Ann’s new pencil was 18 centimeters long. After 2 weeks, her pencil was only half as long. How many centimeters was Ann’s pencil then? Write to help explain your best thinking using words, numbers, or pictures.
3M-25) Answer: 3 miles
John lives in Milton, and he decides to visit his friend in Colville. It’s 21 miles from John’s house to his friend’s house. First he walks 1 mile to the bus station. Then he rides the bus 18 miles to Colville. He walks the rest of the way to his friend’s house. How many miles does John walk altogether to get to his friend’s house? Write to help explain your best thinking using words, numbers, or pictures.
Weight
3M-24) Answer: 8 pounds
Three boxes of snake powder weigh the same as one box of snake powder and one can of lizard tear. How much does one can of lizard tears weigh? Write to help explain your best thinking using words, numbers, or pictures.
3M-23) Answer: 4 pounds
The giant weighed some of the giant vegetables that grew in his garden. He weighed a tomato, an ear of corn, a turnip, and a carrot. The carrot was 8 pounds less than the turnip, and the turnip was 3 pounds more than the ear of corn. The ear of corn weighed half as much as the tomato. The giant rolled the tomato onto the scale. It was 18 pounds. How much did the carrot weigh? Write to help explain your best thinking using words, numbers, or pictures.
3M-22) Answer: 2 lbs. 2 oz.
Martha’s math book weighs 14 ounces. Her social studies book weighs 20 ounces. How many pounds and ounces do Martha’s books weigh together? Write to help explain your best thinking using words, numbers, or pictures.
3M-21) Answer: 5 rhinos
The rhinos at the zoo weigh about 800 pounds each. About how many rhinos can be carried in a truck that holds 2 tons? (Hint: 2000 lbs. =1 ton) Write to help explain your best thinking using words, numbers, or pictures.
Volume
3M-20) Answer: $2.01
Hank is selling lemonade. He makes 2 quarts. How many cups of lemonade does Hank have to sell? Write to help explain your best thinking using words, numbers, or pictures.
3M-19) Answer: 3 cups flour; 1 ½ cups sugar; 1 cup butter
Jenny is making cookies. Her recipe is below. How can Jenny change her recipe to make 24 cookies? Write to help explain your best thinking using words, numbers, or pictures.
Sugar Cookies |
Area and Perimeter
3M-18) Answer: 26 feet
Kris built a fence for her dog’s play area. The fence is 10 feet long and 3 feet wide. How many feet of fencing did Kris use? Write to help explain your best thinking using words, numbers, or pictures.
3M-17) Answer 72 square feet
Ron’s room is 9 feet long and 8 feet wide. How many square feet of carpet does he need to cover the floor? Write to help explain your best thinking using words, numbers, or pictures.
Money
3M-16) Answer: $2.01
Abby mailed 6 postcards at 19 cents each and 3 letters at 29 cents each. How much did she pay in postage? Write to help explain your best thinking using words, numbers, or pictures.
3M-15) Answer: one way
In how many ways can you have 45 cents with 5 coins? Write to help explain your best thinking using words, numbers, or pictures.
3M-14) Answer: 2 quarters and 5 dimes; 1 quarter, 1 fifty cent piece, and 5 nickels
Kristi has $1 in her pocket made up of seven coins. Show at least two possible combinations for those seven coins. Write to help explain your best thinking using words, numbers, or pictures.
3M-13) Answer: 8 pm
Ezra wants to watch a television program that will begin at 9:00 P.M. His mom says he can watch it but he must first do his chores and finish his homework. It takes him half an hour to do his chores and another half an hour to finish his homework. At what time must Ezra begin if he is to finish in time to watch the program? Write to help explain your best thinking using words, numbers, or pictures.
3M-12) Answer: 45 minutes
If it takes 20 minutes to cut a log crosswise into 5 pieces, how long would it take to cut a log into 10 crosscut pieces? Write to help explain your best thinking using words, numbers, or pictures.
3M-11) Answer: 1 hour 38 minutes
The solar eclipse began at 2:13 in the afternoon and ended at 3:51 p.m. How long did the eclipse last? Write to help explain your best thinking using words, numbers, or pictures.
3M-10) Answer: $4.00
Maggie went to a movie. She paid $2.00 for her ticket, $1.25 for popcorn, and $.75 for a drink. How much did Maggie spend at the movie? Write to help explain your best thinking using words, numbers, or pictures.
3M-9) Answer: 9 groups
Scott saved up enough money to buy a "growing rope" at the magic shop. The price of the rope was 22 cents. Scott paid for the rope with coins. How many different groups of coins could Scott have used to pay for the rope? Write to help explain your best thinking using words, numbers, or pictures.
3M-8) Answer: 3 dimes, 5 nickels
Sam saved nickels and dimes until he had 55 cents to buy the game of Beast and Beetles. Sam paid for the game with 8 coins. How many of each kind of coin did Sam have? Write to help explain your best thinking using words, numbers, or pictures.
3M-7) Answer: 13
"This costs 26 cents," said the girl as she gave the dinosaur stamp to Michael. Michael took coins out of the pocket of his jeans and gave them to the girl. How many different groups of coins could Michael have used to pay for the dinosaur? Write to help explain your best thinking using words, numbers, or pictures.
3M-6) Answer: 60 inches
The Acrobat Bears are stuffed bears. Zeke Bear is the tallest. Yolanda is 3 inches shorter than Zeke. Wanda is 3 inches shorter than Yolanda. Un is 3 inches shorter than Wanda, and Timothy is 3 inches shorter than Un. Timothy Bear is 6 inches tall. If you stood the bears on top of each other, how high would the bear tower be? Write to help explain your best thinking using words, numbers, or pictures.
3M-5) Answer: Least to most expensive: 20 daisies, 10 daffodils, 5 tulips, 2 lilacs, 1 rose
Tulips cost 20 cents, daisies 5 cents, daffodils 10 cents, roses $1, and lilacs 50 cents. Arrange the flowers so that the least expensive ones will be on the left-hand side, and the most expensive ones on the right-hand side. Becky has $1.00. How many of each flower can she buy? Tulips___Daisies___Daffodils___Roses___Lilacs___ Write to help explain your best thinking using words, numbers, or pictures.
3M-4) Answer: Elizabeth $2.58; Glen $2.12; Hester $4.70
Trucks cost $1. Kites cost 10 cents and marbles cost 1 cent. Elizabeth bought 2 trucks, 5 kites, and 8 marbles. Glen bought 1 truck, 10 kites, and 12 marbles. Hester bought 3 trucks, 15 kites, and 20 marbles. How much did each one spend? Write to help explain your best thinking using words, numbers, or pictures.
3M-3) Answer: (Varies) Mary gave Tim enough money so that Tim had twice Simon. How much was left for Mary?
Simon has four quarters and five dimes. Tim has six quarters and four nickels. Mary has one quarter, ten dimes, and three pennies. Show this on a chart and write a word problem to go with it. Write to help explain your best thinking using words, numbers, or pictures.
3M-2) Answer: Ivan-50; Krista-25; Luigi-35; Nicholas-70; Quentin-40
Ivan has 50 cents. Krista has one half of that. Luigi has 10 cents more than Krista. Nicholas has twice as much as Luigi. Quentin has 30 cents less than Nicholas. Fill in the graph to show how much money each person has. Write to help explain your best thinking using words, numbers, or pictures.
3M-1) Answer: 12 ways (1Q, 2D+1N, 2D+5P, 1D+3N, 1D+2N+5P, 1D+1N+10P, 1D+15P, 5N, 4N+5P, 3N+10P, 2N+15P, 1N+20P, 25P)
How many ways can you make 25 cents? Write to help explain your best thinking using words, numbers, or pictures.
Expectations & Examples of Measurement from the 2008 Math Standards Revision (draft) - Grade 3
Estimate, measure, and calculate perimeters of two-dimensional figures, including figures in contextual situations. Perimeters can be of two-dimensional geometric figures or of some part of a three-dimensional real-world object, such as a tabletop. Measure temperature in degrees Fahrenheit or degrees Celsius using a thermometer. The scale on a thermometer is essentially a vertical number line. Measure degrees to the nearest whole number. Estimate, measure, compare, and choose appropriate-size units to communicate weight or mass using customary or metric units. Estimate, measure, compare, and choose appropriate-size units to express capacity using customary or metric units. |
Examples of Measurement from the 2006 GLEs – Grade 3
Name attributes that can be measured for a given object. Show how measurable attributes are used to describe objects or events. Show how clocks and/or the environment measure the passage of time. Show how money is used to describe the value of an object. Show how the attributes of length, perimeter, time, money value, weight/mass, capacity, and temperature can be measured without a standard measurement tool. Describe objects using U.S. units of measurement.
Describe objects using metric units of measurement:
Describe the benefits of standard units of measurement. Explain whether standard units of measurement are necessary in a situation. Explain when measurements can or cannot be compared, based on the units being the same or different. Describe appropriate units, standard and non standard, for measuring length and weight/mass. Explain the system of standard U.S. units for measurement of money value, length, and capacity. Show how to convert standard units within the U.S. system in order to answer a question. Convert between units in the U.S. system:
Explain the system of standard U.S. units for measurement of weight. Explain and cite examples of the system of standard units for time including seconds, minutes, hours, days, weeks, months, and years. Show how to convert time units in order to answer a question. Suggested Procedure:
Measure length, perimeter, time, weight/mass, capacity, and temperature in the U.S. or metric system using the suggested procedure. Identify the value of each coin or bill in a given situation and calculate the total amount of money. Use passage of time to identify or determine an answer to a question. Describe situations in which estimated measurements are appropriate. Use estimation to determine length, perimeter, time, money value, mass/weight, capacity, or temperature and record the number of units with a label. Describe a procedure for estimating length, perimeter, time, money value, weight/mass, capacity, or temperature. Use estimation to determine the perimeter of a rectangle or right triangle and record the number of units with a label. |