# PARCC Math Practice (Grade 4)

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## PARCC Math Practice

1.

An angle is shown on the protractor.

Which statement about the angle is true?

Which statement about the angle is true?

- The angle is obtuse.
- The angle is equal to two 10-degree angles.
- The angle turns through ten 1-degree angles.
- The angle turns through [math]5/360[/math] of a circle that has a measure of 360 degrees.

2.

Devon makes 7 picture frames. He uses [math]2/5[/math] meter of wood to make each frame. What is the total amount of wood, in meters, that Devon uses to make all 7 frames?

- [math]1 4/5[/math]
- [math]2 4/5[/math]
- [math]7 2/5[/math]
- [math]17 1/2[/math]

3.

Mr. Chen has a jar of buttons.

He gives Ava 4 buttons.

He gives Jackson 5 more buttons than Ava.

He gives Sophia 3 times as many buttons as Jackson.

Mr. Chen then has 7 buttons left in the jar.

He gives Ava 4 buttons.

He gives Jackson 5 more buttons than Ava.

He gives Sophia 3 times as many buttons as Jackson.

Mr. Chen then has 7 buttons left in the jar.

A.

How many buttons did Jackson and Sophia each receive? Show or explain how you came to each answer.

B.

How many buttons were in Mr. Chen's jar before he gave them away?

4.

The rectangle is divided into 10 equal sections.

John colors 2 of the sections. Then he colors 5 more sections.

Which TWO of these represent the fraction of the rectangle that John colors in all? Select TWO correct answers.

John colors 2 of the sections. Then he colors 5 more sections.

Which TWO of these represent the fraction of the rectangle that John colors in all? Select TWO correct answers.

- [math]2 + 5[/math]
- [math]2/10 + 5/10[/math]
- [math]7 + 1/10[/math]
- [math]1/10+ 1/10 + 1/10 +1/10 + 1/10 + 1/10+1/10[/math]
- [math]10/2 + 10/5[/math]

5.

Complete the subtraction problem.

[math]8,492 - 3,517 =[/math]

[math]8,492 - 3,517 =[/math]

6.

Complete the addition problem.

[math]3,628+ 6,847=[/math]

[math]3,628+ 6,847=[/math]

7.

Elijah reads his book each night. It takes him 9 nights to read the entire book. He reads the same number of pages each night. His book is 324 pages.

How many pages does Elijah read each night? Explain your reasoning.

How many pages does Elijah read each night? Explain your reasoning.

8.

Complete the problem.

[math]2,648 xx 5 = [/math]

[math]2,648 xx 5 = [/math]

9.

A jug of water weighs 3 kilograms. How many grams is the mass of the jug of water?

10.

The Empire State Building is 1,250 feet high.

The Shanghai Tower is 2,073 feet high.

What is the difference, in feet, of these two heights?

The Shanghai Tower is 2,073 feet high.

What is the difference, in feet, of these two heights?

11.

In this problem you will compare the decimal representations of the fractions [math]1/2[/math] and [math]3/4[/math].

Two circles, Circle A and Circle B, are shown below. The circles are equal size. Circle A is divided into 2 sections of equal size. Circle B is divided into 4 sections of equal size. You can use the circles to help you solve the problems.

Circle A -

Circle B -

Two circles, Circle A and Circle B, are shown below. The circles are equal size. Circle A is divided into 2 sections of equal size. Circle B is divided into 4 sections of equal size. You can use the circles to help you solve the problems.

Circle A -

Circle B -

A.

Write a fraction with a denominator of 4 that is equivalent to [math]1/2[/math]. Use the circles to explain why the fractions are equivalent.

B.

Write [math]1/2[/math] as a decimal. Then write [math]3/4[/math] as a decimal. Explain how you can use the circles to compare the decimals.

12.

Select the correct symbol to compare the measurements.

[math]0.72[/math] meter [math]0.75[/math] meter

[math]0.72[/math] meter [math]0.75[/math] meter

- [math]<[/math]
- [math]=[/math]
- [math]>[/math]

13.

A farmstand has only corn and tomatoes for vegetables. There are 7 bins of corn and 4 bins of tomatoes. Each bin of corn has 12 ears of corn. Each bin of tomatoes has 18 tomatoes.

What is the total number of vegetables at the farmstand?

What is the total number of vegetables at the farmstand?

14.

Select the THREE choices that are factor pairs for the number 36.

- 1 and 36
- 2 and 19
- 3 and 12
- 5 and 8
- 7 and 6
- 9 and 4

15.

Complete the problem.

[math]384-:6=[/math]

[math]384-:6=[/math]

16.

Which THREE comparisons are correct?

- 0.5 gram < 0.05 gram
- 0.62 gram > 0.61 gram
- 0.25 gram < 0.52 gram
- 0.8 gram > 0.9 gram
- 0.42 gram < 0.4 gram
- 0.55 gram > 0.5 gram

17.

What is the value of the box?

[math]7/10 = square/100[/math]

[math]7/10 = square/100[/math]

18.

Complete the subtraction problem.

[math]7,049 - 5,693 =[/math]

[math]7,049 - 5,693 =[/math]

19.

Which TWO equations represent the statement "15 is 4 more than 11"?

Select the TWO correct answers.

Select the TWO correct answers.

- [math]15 = 11 - 4[/math]
- [math]15 = 4 + 11[/math]
- [math]15 = 4 xx11[/math]
- [math]15 = 11 + 4[/math]
- [math]15 = 11 xx 4[/math]

20.

The measure of angle [math]ABD[/math] is [math]90deg[/math]. The measure of angle [math]CBD[/math] is [math]30deg[/math].

Which equation can be used to find the value of angle [math]ABC[/math]?

Which equation can be used to find the value of angle [math]ABC[/math]?

- [math]ABC + 30 = 90[/math]
- [math]ABC - 30 = 90[/math]
- [math]ABC xx 30 = 90[/math]
- [math]ABC -:30 = 90[/math]

21.

Which angle has a measure of [math]125deg[/math]?

You may use a protractor to help you find the answer.

You may use a protractor to help you find the answer.

22.

Which expression is equivalent to [math]5 xx 3/4[/math]?

- [math]2 xx 3/4[/math]
- [math]5 xx 1/4[/math]
- [math]15 xx 1/4[/math]
- [math]15 xx 1/2[/math]

23.

Select the correct symbol for the blank to complete the comparison.

[math]4/3[/math] [math]7/6[/math]

[math]4/3[/math] [math]7/6[/math]

- [math]<[/math]
- [math]=[/math]
- [math]>[/math]

24.

The area of a rectangular book is 77-square inches.

The book has a length of 11 inches.

What is the width, in inches, of the book?

The book has a length of 11 inches.

What is the width, in inches, of the book?

25.

Which TWO shapes appear to have at least 2 sets of perpendicular lines?

26.

Mrs. Deyo's science class observed the number of days it rained in April, May, and June. The the bar graph shows the number of days it rained each month.

A.

What fraction of all the rainy days were in May?

- [math]2/20[/math]
- [math]8/20[/math]
- [math]10/20[/math]
- [math]20/20[/math]

B.

Which equation can be used to find [math]r[/math], the fraction of all rainy days for May and June?

- [math]r = 10/20 - 2/20[/math]
- [math]r = 2/20 + 10/20[/math]
- [math]r = 10/20 - 8/20[/math]
- [math]r = 8/20 + 10/20[/math]

27.

Complete the addition problem.

[math]1,847 + 573=[/math]

[math]1,847 + 573=[/math]

28.

Ken has a bucket that holds 4 liters of water. Ken's bathtub holds 50 times as much water as his bucket. What is the volume, in liters, of Ken's bathtub?

29.

The perimeter of a room is [math]15 6/10[/math] meters. The width of the room is [math]3 1/10[/math] meters.

A.

What is the length, in meters, of the room?

- [math]4 7/10[/math] meters
- [math]5 2/10[/math] meters
- [math]6 2/10[/math] meters
- [math]9 4/10[/math] meters

B.

An addition is added to the room that lengthens the room by [math]2 6/10[/math] meters.

What is the new perimeter, in meters, of the room?

What is the new perimeter, in meters, of the room?

- [math]13 5/10[/math] meters
- [math]14 6/10[/math] meters
- [math]18 2/10[/math] meters
- [math]20 8/10[/math] meters

30.

A theater has 26 chairs in a row. There are 38 rows of chairs in the theater.

What is the total number of chairs in the theater?

What is the total number of chairs in the theater?

31.

Students at North Central Elementary School can join band in third, fourth, or fifth grade. The table shows the number of students who joined.

Each student in band takes music lessons in a group of no more than 3 students.

What is the LEAST number of music lesson groups that will include all of the students?

School Band | |
---|---|

Grade | Students |

Third | 14 |

Fourth | 11 |

Fifth | 18 |

Each student in band takes music lessons in a group of no more than 3 students.

What is the LEAST number of music lesson groups that will include all of the students?

32.

Complete the addition problem.

[math]5,392 +3,709=[/math]

[math]5,392 +3,709=[/math]

33.

The table shows the number of library books borrowed in three different months.

Books Borrowed | |
---|---|

Month | Books |

March | 4267 |

April | 3821 |

May | 4089 |

A.

What is the total number of books borrowed in three months?

B.

How many FEWER books were borrowed in April than in May?

34.

There are 750 books at the school book fair. Students buy a total of 486 books. Teachers buy 137 books. The remaining books are donated equally to 10 classrooms.

What is the GREATEST number of books that can be donated to each classroom?

What is the GREATEST number of books that can be donated to each classroom?

35.

Avery measures the height her plant grows each week for two weeks. The first week the plant grows [math]1/10[/math] meter. The second week the plant grows [math]14/100[/math] meter.

A.

What fraction is equivalent to [math]1/10[/math] and has a denominator of 100?

- [math]1/100[/math]
- [math]10/100[/math]
- [math]11/100[/math]
- [math]101/100[/math]

B.

What was the total plant growth, in meters, for the two weeks?

- [math]2 4/10[/math]
- [math]1 5/10[/math]
- [math]24/100[/math]
- [math]15/100[/math]

36.

Ten numbers are shown below.

[math]1, 3, 9, 19, 27, 39, 45, 53, 79, 90[/math]

Which list includes all the multiples of 9 that are shown above?

[math]1, 3, 9, 19, 27, 39, 45, 53, 79, 90[/math]

Which list includes all the multiples of 9 that are shown above?

- 1, 3, 9
- 9, 27, 45, 90
- 1, 9, 27, 45
- 9, 19, 39, 79

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