Grade 5 Practice Problems: Measurement
Examples from Standards Revision and GLEs
5M-26) Answer: 8 ounces
The weight of a glass bowl and the marbles it contains is 50 ounces. If the number of marbles in the bowl is doubled, the total weight of the bowl and marbles is 92 ounces. What is the weight of the bowl? (Assume that each of the marbles has the same weight.) Write to help explain your best thinking using words, numbers, or pictures.
5M-25) Answer: $2.30
Helen bought popcorn at the movies. She bought 2 large bags, and each one cost $ 1.35. How much change did she receive from a $5 bill? Write to help explain your best thinking using words, numbers, or pictures.
5M-24) Answer: 6 inches
Sally caught two fish. One had to be thrown back since it was smaller than the legal limit. Sally said, "If that trout had been half again as long, it would have been just long enough to keep." The fish was four inches long. What is the legal limit length? Write to help explain your best thinking using words, numbers, or pictures.
5M-23) Answer: $3.72
James bought a hamburger for 89 cents and a cola for 39 cents. He gave the clerk a $5 bill. How much change did he get? Write to help explain your best thinking using words, numbers, or pictures.
5M-22) Answer: $5.13
Martha bought a used record for $1.89 and another for $2.98. She gave the clerk a $10 bill. How much change did she get? Write to help explain your best thinking using words, numbers, or pictures.
5M-21) Answer: $36
Michael bought a new camera that cost more than $30 but less than $40. He paid for the camera with $5 bills and $1 bills. He paid with the same number of each. What did the camera cost? Write to help explain your best thinking using words, numbers, or pictures.
5M-20) Answer: 500 feet
Along the curb on Main Street, there are six trees. The Merchants' Association decided to string lights along the street. They use 100 feet of lights between each pair of trees. How many feet of lights do they need? Write to help explain your best thinking using words, numbers, or pictures.
5M-19) Answer: 6x6 feet
Jerry wants to enclose the largest rectangular garden possible with the 24 feet of fencing that he has. What are the dimensions of his garden? (Use only whole numbers.) Write to help explain your best thinking using words, numbers, or pictures.
5M-18) Answer: 105 miles
A road sign reads "Clarkville~126 miles North" and "Smithtown~84 miles South." How many miles would you be from Smithtown, if you are on the road, halfway between Clarkville and Smithtown? Write to help explain your best thinking using words, numbers, or pictures.
5M-17) Answer: $102.50
Jim is a busboy. He makes $15 per day plus tips. Last week he made $27.50 in tips. What were his total earnings during those five days? Write to help explain your best thinking using words, numbers, or pictures.
5M-16) Answer: $1.55
Sue, Sandy, and Sarah bought presents costing 98 cents, 99 cents, $1.19, and $1.49. They want to share the cost. How much should each of them pay? Write to help explain your best thinking using words, numbers, or pictures.
5M-15) Answer: 8 colas
Slim has $6 to spend on hamburgers and colas. Hamburgers cost 80 cents each and colas cost 50 cents each. If he buys 5 hamburgers, how many colas can he buy? Write to help explain your best thinking using words, numbers, or pictures.
5M-14) Answer: $3
A monthly magazine sells for 75 cents per month at the store. If you buy a yearly subscription it costs $6. How much do you save by buying the yearly subscription? Write to help explain your best thinking using words, numbers, or pictures.
5M-13) Answer: $1.19 (1-50¢, 1-25¢, 4-10¢, 4-1¢)
What is the largest amount of money (all coins) you can have and still be unable to give change for one dollar? Write to help explain your best thinking using words, numbers, or pictures.
5M-12) Answer: 40 nickels
Six dollars were exchanged for nickels and dimes. The number of nickels was the same as the number of dimes. How many nickels were there in the change? Write to help explain your best thinking using words, numbers, or pictures.
5M-11) Answer: 50 pennies, 45 nickels
Antonio was saving pennies and nickels. He had a total of 95 coins worth $2.75. How many pennies and how many nickels did he have? Write to help explain your best thinking using words, numbers, or pictures.
5M-10) Answer: 35 feet
They were painting a huge mural at Los Amigos School. They started on Monday and finished on Friday, when they painted 12 feet. Each day they painted 2 1/2 more feet than the day before. How many feet long was the mural? Write to help explain your best thinking using words, numbers, or pictures.
5M-9) Answer: 10 at 22 cents, 11 at 29 cents
Kim's mother and father own a toy store. Today Kim and her mother are buying some tiny clay animals for the store. Her mother likes the seals that are 22 cents each. Kim likes the bears that are 29 cents each. Her mother gets some of both and pays $5.39. How many of each kind of animal did Kim's mother buy? Write to help explain your best thinking using words, numbers, or pictures.
5M-8) Answer: Gwen-8 miles; Russell-7 miles
Russell and Gwen signed up to bike and run in the Holly School Move-a-thon. People signed up to give money for every mile they biked or ran. They got 15 cents for every mile they biked and 25 cents for every mile that they ran. Russell biked and Gwen ran. Together they raised $3.05. How many miles did Russell bike and how many miles did Gwen run? Write to help explain your best thinking using words, numbers, or pictures.
5M-7) Answer: 3 pound package
At Albertson's you can buy a 5-lb package of ground beef for $11.50. At Safeway a 3-lb package of the same quality ground beef sells for $6.75. Which is the better buy? Write to help explain your best thinking using words, numbers, or pictures.
5M-6) Answer: yes
Marie is saving to buy a bike that costs $200. He has already saved one fourth of the money. If he saves $3 per week, will he be able to buy the bike within one year? Write to help explain your best thinking using words, numbers, or pictures.
5M-5) Answer: a gallon for $7.75
Which is the better buy, a gallon of paint for $7.75 or a quart of paint for $1.99? Write to help explain your best thinking using words, numbers, or pictures.
5M-4) Answer: Wabash Cannonball
The Wabash Cannonball traveled 55 miles in 50 minutes. The Orange Blossom Special covered 136 miles in 2 hours. Which train had the greater average speed? Write to help explain your best thinking using words, numbers, or pictures.
5M-3) Answer: Mark gives Frank 2 cents and Joan 2 nickels
Mark has 2 quarters, 3 nickels, and 3 pennies. Joan has 1 quarter, 2 dimes, and 1 penny. Frank has 1 half-dollar and 4 pennies. How can Mark, Joan, and Frank share the coins so that each has the same amount of money? Write to help explain your best thinking using words, numbers, or pictures.
5M-2) Answer: $24.75
At her fruit stand, Wendy sells apples for 25 cents each. One day she sold three fourths of her apples and had 33 apples left. How much money did she make on the apples she sold? Write to help explain your best thinking using words, numbers, or pictures.
5M-1) Answer: 3 fancy donuts
Sue can't resist donuts. She saw that plain donuts were on sale for 35 cents each and fancy donuts for 50 cents each. Sue bought a dozen donuts and paid $4.65. How many fancy donuts did she buy? Write to help explain your best thinking using words, numbers, or pictures.
Expectations & Examples of Measurement from the 2008 Math Standards Revision (draft) - Grade 5
Differentiate between problem situations that require linear measurement, those that require area measurement, and those that require volume measurement. Represent the relationship of the surface area of a rectangular prism to the areas of its faces using words, numbers, pictures, or physical objects. Students can use the area formula for rectangles here. Representations may include graph paper, nets, or a sum of the areas of the faces. Find the approximate volume of rectangular prisms using cubic units. Students might find approximate volume by filling boxes with cubes or by using small cubes to build larger cubes or larger rectangular prisms. Develop and use formulas for finding the volumes of cubes and other rectangular prisms. Use rectangular layers (area of the base) along with the number of layers to determine the volume of a rectangular prism. Solve word problems that involve surface area or volume and explain solutions using words, numbers, pictures, physical materials, or equations. |
Examples of Measurement from the 2006 GLEs – Grade 5
Identify or describe angles in pictures, diagrams, illustrations and in the environment. Sort, classify, and label angles as equal to, less than, or greater than 90°. Describe angles in shapes and figures as equal to, less than, or greater than 90°. Explain and provide examples of how angles are formed. Explain how degrees are used as measures of angles. Describe an angle in relation to a 90? angle. Sort, classify, and label angles as approximately 30?, 45?, 60?, 90?, or 180?. Draw angles with approximate measures of 30?, 45?, 60?, 90?, and 180?. Identify or describe angles with approximate measures of 30?, 45?, 60?, 90?, or 180? with or without a protractor. Explain and cite examples of the metric system units for capacity, mass, and length. Explain or show the relationship between units in the metric system for capacity, mass, or length. Convert between units in the metric system:
Suggested Procedure:
Select and describe the appropriate units and/or tools for measuring length, perimeter, and/or area. Demonstrate a procedure for measuring the area of a rectangle or right triangle. Use procedures to measure length, perimeter, and/or area. Measure the area in figures composed of rectangles and triangles. Determine whether an area measurement has been done correctly. Explain how to find the perimeter or area of any rectangle using a rule. Explain and use formulas to calculate the perimeter or area of a rectangle and labels units. Explain and use a formula to determine or calculate the area of a right triangle and labels units. Determine and label right triangles and all rectangles with whole number dimensions and a given perimeter or area. Explain why formulas are used to find area and/or perimeter. Describe situations in which estimated measurements are appropriate. Estimate and label areas of rectangles and right triangles. Explain an appropriate process for estimating perimeter or area of a rectangle or right triangle or an angle measurement. Use estimation to determine reasonableness of an angle or area measurement. Determine whether an angle is closest to 30°, 45°, 60°, 90°, or 180°. Draw angles with measurements that are approximately 30°, 45°, 60°, 90°, or 180°. |