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# PARCC Math Practice (Grade 5)

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## PARCC Math Practice

1.
What is the volume of the rectangular prism in cubic units?
1. 13
2. 36
3. 80
4. 100
2.
Which of these are equal to $472.129$?

1. $4xx100+7xx10+2xx1+1xx1+2xx1/10+9xx1/100$
2. four hundred seventy-two and twenty-nine hundredths
3. $4xx100+7xx10+2xx1+1xx1/10+2xx1/100+9xx1/(1,000$
4. four hundred seventy-two and one hundred twenty-nine thousandths
5. $4xx100+7xx10+2xx1+1xx1/100+2xx1/10+9xx1/(1,000$
3.
Select the TWO comparisons that are correct.
1. seventy-two and five tenths $> 72.05$
2. $20.19<$ twenty and nineteen thousandths
3. $58.042>5xx10+8xx1+4xx1/10+2xx1/100$
4. nine hundred four and thirty-seven thousandths $>904.37$
5. $3xx100+8xx10+1xx1+7xx 1/100+5xx1/(1,000) <$ three hundred eighty-one and seventy-five hundredths
4.
Which statement describes $5/6xx3/8$?
1. $5/6xx3/8$ is 5 groups of $3/8$, divided into 48 equal parts
2. $5/6xx3/8$ is 6 groups of $3/8$, divided into 15 equal parts
3. $5/6xx3/8$ is 5 groups of $3/8$, divided into 6 equal parts
4. $5/6xx3/8$ is 6 groups of $3/8$, divided into 5 equal parts
5.
Which expression is equal to $5/9$?
1. $9/5$
2. $5-:9$
3. $9-5$
4. $5xx9$
6.
Select the TWO equations that are correct when the number 40 is entered in the box.
1. $squarexx30 = 120$
2. $2,400-:square=60$
3. $square-:8=50$
4. $100xxsquare=4,000$
5. $400-:4=square$
7.
Select the TWO equations that are correct when the number 400 is entered in the box.
1. $squarexx30=12,000$
2. $2,400-:square= 6$
3. $square-:80=50$
4. $1,000xxsquare=4,000$
5. $4,000-:4=square$
8.
Joey is doing his homework. It takes him 12 minutes to read 5 pages of history and 17 minutes to read 8 pages of English.
A.
Joey reads the same amount of history pages each minute. Which of these is closest to the number of minutes it takes Joey to read each page of his history homework?
1. $2$ minutes
2. $2 1/2$ minutes
3. $3$ minutes
4. $3 1/2$ minutes
B.
Joey reads the same amount of English pages each minute. Which of these is closest to the number of minutes it takes Joey to read each page of his English homework?
1. $2$ minutes
2. $2 1/2$ minutes
3. $3$ minutes
4. $3 1/2$ minutes
9.
An online clothing store ships 774 boxes of clothing over the course of a week. The store uses 3 different sizes of shipping boxes.
$*$ The small box holds 3 pieces of clothing, and $5/9$ of the total boxes are small.
$*$ The medium box holds 6 pieces of clothing, and $1/3$ of the total boxes are medium.
$*$ The large box holds 8 pieces of clothing, and the rest of the total boxes are large.

Determine how many of each size box is needed for the week. Then determine how many pieces of clothing were shipped in the 774 filled boxes. Show your work or explain your answers.

10.
Dario is making a birdhouse from a board that is $3/4$ of a meter long. He cuts $1/2$ meter off the board and uses the remaining piece for the base of the birdhouse. Dario subtracts $1/2$ from $3/4$ to find the length of the base. Dario said $3/4 - 1/2 = 2/4$ and plotted $2/4$ on this number line.

$*$ Explain why Dario's answer is not reasonable.
$*$ Find the total length of the birdhouse base, in meters.
$*$ Explain how to use the number line to show your answer is correct.

11.
In this right rectangular prism, each small cube measures 1 unit on each side.

$*$What is the volume of the prism?
$*$Explain how you found the volume. You may show your work in your explanation.
$*$What could be the dimensions of a new right rectangular prism that has 16 fewer unit cubes than the original prism?
$*$Explain how you determined the dimensions of the new right rectangular prism.

12.
Owen practices basketball. The time Owen spends on each skill is shown.

Dribbling: $1/3$ hour
Passing: $1/6$ hour

His coach asks Owen to compare the length of time he spends on each drill to $1/4$ hour.
A.
Owen claims he practiced dribbling for less than $1/4$ hour because the 3 in the denominator is less than 4. He also explained that he practiced passing for more than $1/4$ hour because 6 in the denominator is more than 4.

Compare $1/4$ hour to the time spent practicing each skill using the $>, <, or =$ symbol. Then explain whether Owen's reasoning is correct.

B.
Owen throws the basketball into the hoop from the distances shown.
Distance for first throw: $19 3/4$feet
Distance for second throw: $20 1/4$ feet
Owen claims that he threw the ball $1 2/4$ feet farther on his second throw than his first throw because the difference between the whole numbers is 1 and the difference between the numerators is 2.

$*$Explain why Owen's reasoning is incorrect.
$*$What is the correct distance, in feet, between the distance of Owen's first throw and the distance of Owen's second throw?

13.
Kyra has a ribbon 4 feet long. She cuts the ribbon into 5 equal pieces.

Which equation shows how to find the length, in feet, of each piece of the ribbon?
1. $4-:5 = 4/5$
2. $5-:4 = 1 1/4$
3. $4 xx 5 = 20$
4. $5 + 4 = 9$
14.
Parker's rectangular family room has an area of 255 square feet. The room is 15 feet wide.
A.
Write an equation that represents the length of the room. In your equation, let $l$ equal the length of the room. Then solve your equation.

B.
Parker is putting down 135 square feet of carpet on one side of the room and wood flooring in the rest of the room.

One square foot of carpet costs $4. One square foot of wood flooring costs$7.

Write an expression that represents the total cost of the carpet and the wood flooring.

Explain how you determined your expression.

C.
Use your expression from above to find the total cost, in dollars, of the carpet and wood flooring.

15.
Marcie is ordering eggs for her bakery. She knows these facts:

$*$She needs enough eggs for 4 days.
$*$She will be baking 20 cakes, 16 batches of cookies, and 2 sheets of brownies each day.
$*$One carton holds 12 eggs.

The table shows the number of eggs needed to bake each cake, batch of cookies, and sheet of brownies.
Baked Item
ItemEggs
Cake3