2011, Mathematics - Grade 5 Short-Answer Questions



2011, Mathematics - Grade 5 Short-Answer Questions

Question 2: Number Sense and Operations

Write a mixed number that is greater than 12/4 and less than 15/4 .

Question 15: Patterns Relations and Algebra

What is the value of the expression below when = 6?

4 x ( 18÷ )

Question 16: Geometry

Walter made a pyramid with a base that was a square. What was the total number of edges in Walter’s pyramid?

2011, Mathematics - Grade 5 Open Response Questions

Question 8: Measurement

Kiesha is decorating her bedroom. She wants to put ribbon around the picture shown below.

8 inches

The picture is in the shape of an equilateral triangle.

a. What is the perimeter, in inches, of the picture? Show or explain how you got your answer.

Kiesha plans to cover one wall of her bedroom with wallpaper. The wall is in the shape of a rectangle. The dimensions of the wall are 13 feet by 9 feet.

b. What is the area, in square feet, of the wall? Show or explain how you got your answer.

Kiesha plans to carpet the floor of her bedroom. A diagram of the floor is shown below.

c. What is the area, in square feet, of the floor? Show or explain how you got your answer.

2011, Mathematics - Grade 5 Open Response Questions

Question 21: Data Analysis, Statistics, and Probability

The chart below shows the attendance at a ballpark for the last 5 games.

|Ballpark Attendance |

|Game |Game 1 |Game 2 |Game 3 |Game 4 |Game 5 |

|Attendance |908 |875 |943 |850 |794 |

a. What is the range of attendance for the 5 games? Show or explain how you got your answer.

b. What is the median attendance for the 5 games? Show or explain how you got your answer.

c. The attendance for Game 6 was 861. What is the median attendance for all 6 games? Show or explain how you got your answer.

2010, Mathematics - Grade 5 Short-Answer Questions

Question 5: Data Analysis, Statistics, and Probability

Laila measured her pulse, in beats per minute, 7 times during one day. Her results are listed below.

|52, 68, 75, 98, 64, 75, 72 |

What is the range, in beats per minute, of Laila’s pulse measurements?

Question 6: Patterns Relations and Algebra

Marcus wants to make pudding. The table on the back of the pudding box is shown below.

| | | |

| | | |

| | | |

| | | |

|Servings |Pudding Mix |Milk |

|2 |1/4 cup |1 cup |

|4 |1/2 cup |2 cups |

|6 |3/4 cup |3 cups |

Marcus wants to make 16 servings of pudding.

Based on the table, what is the total number of cups of pudding mix that he should use?

Question 16: Number Sense and Operations

Jordan has a machine part that is thirty-two thousandths of an inch thick.

What is thirty-two thousandths written as a decimal?

2010, Mathematics - Grade 5

|[pic]  Question 11: Open-Response |[pic] |

|Reporting Category: Geometry |

|Standard: 5.G.2 - Identify, describe, and compare special types of three-dimensional shapes (cubes, prisms, spheres, pyramids) |

|based on their properties, such as edges and faces. |

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| | |

|Felipe is studying three-dimensional shapes. His teacher gives him the four shapes shown below to sort into groups. | |

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|Group A contains shapes that have exactly 5 faces. Which shapes should Felipe sort into group A? Show or explain how you got | |

|your answer. | |

|Group B contains shapes that have fewer than 10 edges. Which shapes should Felipe sort into group B? Show or explain how you | |

|got your answer. | |

|Felipe’s teacher gives him another pyramid. It has a base with 6 edges. What is the total number of edges of this pyramid? Show| |

|or explain how you got your answer. | |

2010, Mathematics - Grade 5

|[pic]  Question 17: Open-Response |[pic] |

|Reporting Category: Patterns, Relations, and Algebra |

|Standard: 5.P.4 - Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in |

|words and with symbols, e.g., input-output tables. This standard is intentionally the same as standard 6.P.4. |

| | |

| | |

|A coach is collecting a fee from each player on her soccer team. She collects the same amount of money from each player. The | |

|amount of money she collected over four days from some of the players is shown in the table below. | |

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|Soccer Fees Collected | |

| | |

| | |

|Day | |

|Number of | |

|Players | |

|Amount | |

|Collected | |

| | |

|Monday | |

|4 | |

|$  88 | |

| | |

|Tuesday | |

|7 | |

|$154 | |

| | |

|Wednesday | |

|6 | |

|$132 | |

| | |

|Thursday | |

|3 | |

|$  66 | |

| | |

|Friday | |

|2 | |

|? | |

| | |

|On Friday, the coach will collect fees from 2 more players. What is the total amount of money the coach will collect from the 2| |

|players? Show or explain how you got your answer. | |

|Use words or symbols to write or describe a rule that can be used to calculate the amount of money the coach will collect from | |

|p players. | |

|After every player on her team has paid the fee, the coach will have collected a total of $550. What is the total number of | |

|players on the soccer team? Show or explain how you got your answer. | |

2009, Mathematics - Grade 5 Short-Answer Questions

Question 5: Geometry

Elian drew the figure shown below.

What is the total number of lines of symmetry in Elian’s figure?

Question 12: Measurement

Malik will make a carving from a block of ice. The block of ice is in the shape of a rectangular prism.

The dimensions of the block of ice are shown in the diagram below.

3 feet

3 feet

4 feet

What is the volume, in cubic feet, of the block of ice?

2009 MCAS Grade 5 Mathematics

|Question 11: Data Analysis, Statistics, and Probability |[pic] |

|Teresa put tiles marked with the letters of her name into a bag. The back of each tile is blank. The tiles are shown below. |

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|T E R E S A |

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|Without looking into the bag, Teresa will pick a tile. |

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|a. What is the probability that Teresa will pick a tile with the letter T on it? Show or explain how you got your |

|answer. |

|b. What is the probability that Teresa will pick a tile with a vowel (A, E, I, O, U) on it? Show or explain how you got your |

|answer. |

| |

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|Suppose Teresa first picked a tile with a vowel on it. Now Teresa will pick a second tile. |

|She will not put the first tile back into the bag. |

|She will not look into the bag while picking the second tile. |

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|c. What is the probability that Teresa will pick another tile with a vowel on it? Show or explain how you got your answer. |

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| |

2009 MCAS Grade 5 Mathematics

|Question 13: Number Sense and Operations | |

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|Ms. Hendricks asked her students how they get to school each day. She collected their answers and determined the following |

|results. |

|Half of her students take the bus. |

|1/5 of her students walk. |

|The rest of her students ride with their parents. |

| |

|a. What percent of the students take the bus? |

|b. What percent of the students walk? Explain how you know that your answer is correct. |

|c. What percent of the students ride with their parents? Show or explain how you got your answer. |

2008, Mathematics - Grade 5 Short-Answer

Question 11: Data Analysis, Statistics, and Probability

Haley has a bucket of 100 blocks that are all the same size and shape. The list below shows the number of blocks of each color in the bucket:

• red: 20

• green: 25

• blue: 30

• yellow: 15

• white: 10

Haley takes a block out of the bucket without looking. What is the probability that the block will be green?

Question 12: Number Sense and Operations

Jerry took $5.00 to the mall. He spent $0.85 for a pack of gum and $3.50 for a comic book. How much money did Jerry have left?

Question 28: Number Sense and Operations

A basket contains the apples listed below.

• 9 red apples

• 6 yellow apples

• 5 green apples

What fraction of the apples in the basket are yellow?

Question 29: Patterns, Relations, and Algebra

What is the value of the expression below when =12?

60 ÷ 

Question 30: Measurement

Hilary drew a triangle and labeled its vertices J, K, and L.

• The measure of angle J is 60°.

• The measure of angle K is 35°.

What is the measure, in degrees, of angle L?

2008 MCAS Grade 5 Mathematics

|Question 10: Data Analysis, Statistics, and Probability |[pic] |

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|Karl plays saxophone in a band. The table below shows the number of hours he practiced per week for 7 weeks. |

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|Karl's Saxophone Practice Times |

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|Week |

|1 |

|2 |

|3 |

|4 |

|5 |

|6 |

|7 |

| |

|Number of Hours |

|of Practice |

|8 |

|8 |

|4 |

|8 |

|2 |

|1 |

|4 |

| |

| |

| |

| |

| |

|What is the median number of hours Karl practiced per week during the 7 weeks? Show or explain how you got your answer. |

|What is the mean (average) number of hours Karl practiced per week during the 7 weeks? Show or explain how you got your answer. |

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| |

|Suppose Karl had practiced for only 1 hour in Week 1 instead of for 8 hours. |

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|Which measure, the median or the mean, changes more when recalculated with 1 hour of practice in Week 1 instead of 8 hours? Show |

|or explain how you got your answer. |

2008 MCAS Grade 5 Mathematics

|Question 13: Geometry |[pic] |

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|John's class is studying squares and triangles. |

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|On the grid in your Student Answer Booklet, draw a square that has an area of 16 square units. |

|On the square you drew in part (a), draw a line that divides the square into 2 congruent triangles. |

|Are the 2 congruent triangles you made in part (b) right triangles? Explain how you know that your answer is correct. |

|Are the 2 congruent triangles you made in part (b) equilateral triangles, isosceles triangles, or neither? Explain how you know |

|that your answer is correct. |

2008 MCAS Grade 5 Mathematics

|Question 17: Patterns, Relations, and Algebra |[pic] |

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|Luigi made a pattern using tiles with the same size and shape as the one shown below. |

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|[pic] |

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|The first four figures in Luigi's pattern are shown below. |

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|[pic] |

|In your Student Answer Booklet, draw Figure 5 of Luigi's pattern. |

|What is the total number of tiles needed to make Figure 7 of Luigi's pattern? Show or explain how you got your answer. |

|Write or describe a rule that Luigi could use to determine the number of tiles he will need to make Figure n of his pattern. Show|

|or explain how you got your answer. |

2008 MCAS Grade 5 Mathematics

| |[pic] |

|Question 27: Measurement | |

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|John has a rectangular prism with the dimensions shown in the diagram below. |

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|[pic] |

|What is the surface area, in square feet, of John's rectangular prism? Show or explain how you got your answer. |

|What is the volume, in cubic feet, of John's rectangular prism? Show or explain how you got your answer. |

| |

|Maria has a rectangular prism that has different dimensions than John's rectangular prism. Her prism has the same volume as |

|John's prism. |

| |

|What could be the dimensions, in feet, of Maria's rectangular prism? Show or explain how you got your answer. |

2008 MCAS Grade 5 Mathematics

|Question 31: Number Sense and Operations |[pic] |

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|The fifth-grade marching band includes boys and girls. |

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|There are 28 boys in the marching band. |

|The 28 boys are [pic]of the students in the marching band. |

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|What fraction of the students in the marching band are girls? Show or explain how you got your answer. |

|What is the total number of students in the marching band? Show or explain how you got your answer. |

2007, Mathematics - Grade 5 Short-Answer

Question 11: Data Analysis, Statistics, and Probability

Will earned the following grades on his last five mathematics tests.

|88, 79, 99, 96, 91 |

What was Will’s median grade for these five tests?

Question 12: Geometry

A triangular prism is shown below.

What is the total number of vertices in a triangular prism?

Question 28: Number Sense and Operations

Compute:

12.63 – 3.72

Question 29: Number Sense and Operations

The circle below is divided into congruent parts. What percent of the whole circle is shaded?

Question 30: Measurement

The perimeter of an equilateral triangle is 24 centimeters. How many centimeters long is each side of the triangle?

2007 MCAS Grade 5 Mathematics

|Question 10: Data Analysis, Statistics, and Probability |[pic] |

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|Three candidates ran in the election for fifth-grade class president. The bar graph below shows the number of students who voted |

|for each candidate. |

|[pic] |

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|a. |

|Based on the graph, how many students voted for Ben? Explain your reasoning. |

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|b. |

|Based on the graph, what is the total number of students who voted in the election? Show or explain how you got your answer. |

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|c. |

|A reporter for the school newspaper wrote that each candidate got less than 50% of the total number of votes. Is the reporter |

|correct? Explain your reasoning. |

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2007 MCAS Grade 5 Mathematics

|Question 13: Number Sense and Operations |[pic] |

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|The Fish Bowl store had a sale. During the sale, the store gave away two kinds of fish, goldfish and catfish. |

|Every 5th customer received a free goldfish. |

|Every 12th customer received a free catfish. |

|There were 134 customers on the day of the sale. |

|a. |

|How many customers received a free goldfish? Show or explain how you got your answer. |

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|b. |

|How many customers received a free catfish? Show or explain how you got your answer. |

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|c. |

|How many customers received both a free goldfish and a free catfish? Show or explain how you got your answer. |

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2007 MCAS Grade 5 Mathematics

|Question 17: Measurement |[pic] |

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|Georgia has some 4-inch cubes like the one shown below. |

|[pic] |

|Georgia will put the cubes in the box shown below. |

|[pic] |

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|a. |

|What is the total number of cubes that Georgia needs to exactly cover the bottom of the box with a layer one cube deep? Show or |

|explain how you got your answer. |

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|b. |

|Georgia is going to fill the entire box with her cubes. What is the total number of cubes that Georgia needs? Show or explain how|

|you got your answer. |

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2007 MCAS Grade 5 Mathematics

|Question 27: Geometry |[pic] |

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|Zulma drew the triangle shown below. |

|[pic] |

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|a. |

|What is the total number of lines of symmetry that the triangle appears to have? Show or explain how you got your answer. |

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|b. |

|On the grid in your Student Answer Booklet, draw a quadrilateral that has exactly two lines of symmetry. Draw the lines of |

|symmetry. |

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|c. |

|On the grid in your Student Answer Booklet, draw a quadrilateral that has more than two lines of symmetry. Draw the lines of |

|symmetry. |

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2007 MCAS Grade 5 Mathematics

|Question 31: Patterns, Relations, and Algebra |[pic] |

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|Ms. Taylor is playing a number game with one of her students. When the student tells Ms. Taylor a number, Ms. Taylor uses a rule |

|to determine a new number. Ms. Taylor always uses the same rule. |

|The table below shows some of the student’s numbers and Ms. Taylor’s numbers. |

|Number Game |

|Student's |

|Number |

|Ms. Taylor's |

|Number |

| |

|5 |

|16 |

| |

|8 |

|25 |

| |

|1 |

|4 |

| |

|4 |

|13 |

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|2 |

|7 |

| |

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|a. |

|What should be Ms. Taylor’s number when the student’s number is 6? |

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|b. |

|When the student tells Ms. Taylor a number, what is the rule that Ms. Taylor uses to determine her number? |

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|c. |

|If the student’s numbers are always whole numbers, could 43 be one of Ms. Taylor’s numbers? Show or explain how you got your |

|answer. |

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2006, Mathematics - Grade 5 Short-Answer

Question 11: Number Sense and Operations

Compute:

3.52 x 14

Use your MCAS ruler to answer question 12.

Question 12: Measurement

What is the perimeter, in centimeters, of the triangle below?

Question 28: Geometry

A cube is pictured below.

What is the total number of edges that a cube has?

Question 29: Patterns, Relations, and Algebra

What number belongs in the ? to make the equation below true?

2 x 3 x ? = 30

2006 MCAS Grade 5 Mathematics

|Question 10: Data Analysis, Statistics, and Probability |[pic] |

| |

|The table below shows a city's average temperature by month for the first six months of one year. |

|Average Temperature by Month |

|Month |

|Average Temperature |

|(in Degrees Fahrenheit) |

| |

|January |

|13° |

| |

|February |

|20° |

| |

|March |

|31° |

| |

|April |

|46° |

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|May |

|59° |

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|June |

|68° |

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|What is the range of the data for these six months? Show or explain how you got your answer. |

|On the grid in your Student Answer Booklet, make a bar graph to show the data in the table. Be sure to title your graph, label |

|each axis, and use an appropriate scale. |

2006 MCAS Grade 5 Mathematics

|Question 13: Number Sense and Operations |[pic] |

| |

|Molly sings in the chorus at her school. In the chorus, [pic]of the students are in the sixth grade, and the rest are in the |

|fifth grade. |

|What fraction of the students in the chorus are in the fifth grade? Show or explain how you got your answer. |

|Write your answer from part (a) as a percent. Show or explain how you got your answer. |

|There are 35 students in the chorus. What is the total number of students in the chorus who are in the fifth grade? Show or |

|explain how you got your answer. |

2006 MCAS Grade 5 Mathematics

|Question 17: Geometry |[pic] |

|Hexagon PQRSTU is shown in the diagrams below. In the first diagram, Line 1 passes through the midpoints of sides [pic]and [pic].|

|In the second diagram, Line 2 passes through vertices R and U. |

|[pic] |

|Is Line 1 a line of symmetry? Explain your reasoning. |

|Is Line 2 a line of symmetry? Explain your reasoning. |

|Is there a line other than Line 1 or Line 2 that is a line of symmetry for hexagon PQRSTU? |

|If there is another line of symmetry, describe where the line would be on the hexagon. |

|If there is not another line of symmetry, explain why not. |

2006 MCAS Grade 5 Mathematics

|Question 27: Patterns, Relations, and Algebra |[pic] |

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|Jillian has a rowing machine. The table below lists the number of calories she burns when she exercises on her rowing machine. |

|Calories Burned |

|Exercising on |

|Rowing Machine |

|Minutes |

|Exercised |

|Calories |

|Burned |

| |

|10 |

|  70 |

| |

|20 |

|140 |

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|30 |

|210 |

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|Based on the data in the table, what is the total number of calories that Jillian burns in 1 minute? Show or explain how you got |

|your answer. |

|Based on your answer to part (a), what is the total number of calories that Jillian will burn if she exercises on her rowing |

|machine for 25 minutes? Show or explain how you got your answer. |

|Based on your answer to part (a), what is the total number of minutes that Jillian exercised if she burned 385 calories? Show or |

|explain how you got your answer. |

2006 MCAS Grade 5 Mathematics

|Question 31: Measurement |[pic] |

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|Harry planned a rectangular garden that was 40 feet long and 10 feet wide. |

|What was the perimeter, in feet, of the garden that Harry planned? Show or explain how you got your answer. |

|What was the area, in square feet, of the garden that Harry planned? Show or explain how you got your answer. |

|Suppose Harry decided to change the shape of his garden to a square with the same area as the rectangle. What would be the |

|perimeter, in feet, of the square garden? Show or explain how you got your answer. |

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