# PARCC Math Practice (Grade 3)

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## PARCC Math Practice

1.

A dining room rug is in the shape of a rectangle. It is 8 feet long and 6 feet wide. What is the area of the rug?

- 14 square feet
- 28 square feet
- 48 square feet
- 86 square feet

2.

Which equations are true?

Select the THREE correct choices.

Select the THREE correct choices.

- [math]18 -:9 = 2[/math]
- [math]0xx7 = 7[/math]
- [math]16 -:4 = 12[/math]
- [math]9-:9 = 1[/math]
- [math]5 xx 3 = 15[/math]

3.

A librarian orders 800 new books for a library.

[math]*[/math] 53 are reference books

[math]*[/math] 89 are children's books

[math]*[/math] 53 are reference books

[math]*[/math] 89 are children's books

A.

What is the total number of books ordered that are not reference or children's books?

B.

The librarian ordered 7 more young adult books than children's books. How many more young adult books were ordered than reference books?

4.

Each model equals one whole divided into equal parts. Which models show [math]3/4[/math] shaded?

Select the THREE correct answers.

Select the THREE correct answers.

5.

Which number line shows the correct location of the number [math]7/4[/math]?

6.

Eli is finding the quotient for [math]24-:8[/math]. He says, "The answer is 16 because addition is the opposite of division and [math]16 + 8 = 24[/math]."

A.

Identify the incorrect reasoning in Eli’s statement.

Enter your explanation in the space provided.

Enter your explanation in the space provided.

B.

Show or explain how Eli can correct his reasoning.

Find the quotient when 24 is divided by 8.

Enter your answer and your work or explanation in the space provided.

Find the quotient when 24 is divided by 8.

Enter your answer and your work or explanation in the space provided.

7.

Thomas drew the point shown on the line.

[math]*[/math]Give the value of the point as a fraction.

[math]*[/math]What does the denominator of your fraction represent on the number line?

[math]*[/math]What does the numerator of your fraction represent on the number line?

Enter your answer and your explanation in the space provided.

[math]*[/math]Give the value of the point as a fraction.

[math]*[/math]What does the denominator of your fraction represent on the number line?

[math]*[/math]What does the numerator of your fraction represent on the number line?

Enter your answer and your explanation in the space provided.

8.

Tucker and Avery are building four raised boxes for their garden. The table shows the length and width of each raised box.

Garden Boxes | ||
---|---|---|

Box | Length | Width |

A | 4 feet | 3 feet |

B | 5 feet | 4 feet |

C | 4 feet | 4 feet |

D | 6 feet | 2 feet |

A.

Identify TWO raised garden boxes with the same area, and explain how you know

that the areas are equal.

Enter your answers and your explanation in the space provided.

that the areas are equal.

Enter your answers and your explanation in the space provided.

B.

The grids show garden boxes B and C next to each other. Each small box equals 1 square foot. Garden boxes B and C are placed end to end to make a new, larger garden box.

Tucker uses the expression [math](4xx5) + (4xx4)[/math] to find the area of the new, larger garden box.

Avery uses the expression [math]4xx(5 + 4)[/math] to find the area of the new, larger garden box.

[math]*[/math]Find the total area, in square feet, of the new, larger garden box.

[math]*[/math]Use the grids to explain why both Tucker's expression and Avery's expression are correct.

Enter your answer and your explanation in the space provided.

Tucker uses the expression [math](4xx5) + (4xx4)[/math] to find the area of the new, larger garden box.

Avery uses the expression [math]4xx(5 + 4)[/math] to find the area of the new, larger garden box.

[math]*[/math]Find the total area, in square feet, of the new, larger garden box.

[math]*[/math]Use the grids to explain why both Tucker's expression and Avery's expression are correct.

Enter your answer and your explanation in the space provided.

9.

Sean needs to put 15 rookie baseball cards and 12 all-star baseball cards on a poster board. He wants to display the cards in an array.

A.

Select and shade a box for each baseball card to create an array to represent the cards on the poster board.

B.

Find the area of the array. Explain your answer using an equation or equations.

10.

There are 40 crayons in Ms. Taylor's classroom. The crayons come in packs of 8. How many packs of crayons are in Ms. Taylor's classroom?

11.

Ally solved the math problem shown.

[math]72 -: 8 = ?[/math]

Which equation can Ally use to check her answer?

[math]72 -: 8 = ?[/math]

Which equation can Ally use to check her answer?

- [math]8 + ? = 72[/math]
- [math]8 + 72 = ?[/math]
- [math]8 xx 72 = ?[/math]
- [math]8 xx? = 72[/math]

12.

Kwan has a total of 156 blocks. He has 124 green blocks and equal numbers of blue, red, yellow, and white blocks.

A.

How many yellow blocks does Kwan have?

- 4
- 8
- 32
- 34

B.

Kwan gave his sister 5 blue blocks and 7 white blocks. He also gave his sister 4 times the number of green blocks as white blocks. What was the total number of blocks Kwan gave his sister?

- 16
- 23
- 32
- 40

13.

Sarah starts reading at 3:15 p.m. She finishes reading 25 minutes later.

Which clock shows the time Sarah finishes reading? Select the correct answer.

Which clock shows the time Sarah finishes reading? Select the correct answer.

14.

Which figure has an area of 12 square units?

[math]square =[/math]1 square unit

[math]square =[/math]1 square unit

15.

The art room has 37 colored pencils in one box and 58 colored pencils in another box.

A.

The art teacher removes 46 of the colored pencils for students to use. What is the total number of colored pencils left in the boxes?

Enter your answer and your work in the space provided.

Enter your answer and your work in the space provided.

B.

The art teacher buys more colored pencils and now has 173 colored pencils in one box. A student gives the teacher 10 more colored pencils.

What is the total number of colored pencils after the art teacher adds the 10 colored pencils to the box?

What is the total number of colored pencils after the art teacher adds the 10 colored pencils to the box?

C.

The table shows the number of four different colors of pencils in the art room box.

What is the total number of the four colors of pencils? Show your work.

Enter your answer and your work in the space provided.

Colored Pencils | |
---|---|

Color | Number |

Black | 31 |

Purple | 12 |

Orange | 26 |

Green | 20 |

What is the total number of the four colors of pencils? Show your work.

Enter your answer and your work in the space provided.

16.

Use the numbers 4, 8, and 5 to answer the questions.

A.

What is the number with the GREATEST value that can be made with the digits 4, 8, and 5 using all the digits only once?

- 854
- 584
- 548
- 845

B.

Alex says a number with four hundreds that can be made with the digits 4, 8, and 5 is 548 because the 4 is in the hundreds place.

[math]*[/math]Explain was Alex is NOT correct.

[math]*[/math]What is one number that Alex can make that has a value of four hundreds using all the digits only once?

[math]*[/math]Explain how you know this number has a value of four hundreds.

Enter your answer and your explanations in the space provided.

[math]*[/math]Explain was Alex is NOT correct.

[math]*[/math]What is one number that Alex can make that has a value of four hundreds using all the digits only once?

[math]*[/math]Explain how you know this number has a value of four hundreds.

Enter your answer and your explanations in the space provided.

17.

Lucia makes a spinner for a game. The spinner is divided into 6 equal parts.

A.

Lucia spins the spinner 43 times and records the number the pointer lands on each spin.

[math]*[/math]The spinner lands on the number four 8 times.

[math]*[/math]The spinner lands on each of the other numbers an equal number of times.

How many times does the spinner land on the number two? Show your work or explain your answer.

Enter your answer and your work or explanation in the space provided.

[math]*[/math]The spinner lands on the number four 8 times.

[math]*[/math]The spinner lands on each of the other numbers an equal number of times.

How many times does the spinner land on the number two? Show your work or explain your answer.

Enter your answer and your work or explanation in the space provided.

B.

Lucia decides to color her spinner. The parts of the spinner that look white are not colored yet.

Which statements about the spinner are correct?

Select the TWO correct statements.

Which statements about the spinner are correct?

Select the TWO correct statements.

- Each colored part is [math]1/6[/math] of the whole spinner.
- Each colored part is [math]1/5[/math] of the whole spinner.
- Each colored part is [math]5/6[/math] of the whole spinner.
- The fraction of the spinner not yet colored is [math]1/5[/math].
- The fraction of the spinner not yet colored is [math]5/6[/math].
- The fraction of the spinner not yet colored is [math]1/6[/math].

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