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4th Grade ACT Aspire Like

Summative Assessment

Time - 55 minutes

Student Name ____________________

Date ____________________________

1. Select the statement that explains how the values of the numbers 420 and 4200 are different.

A. 4200 is 10,000 times as large as 420B. 4200 is 1000 times as large as 420C. 4200 is 100 times as large as 420D. 4200 is 10 times as large as 420E. 4200 is 1 time as large as 420

2. Which number is both a factor of 100 and a multiple of 5?

F. 4G. 40H. 50J. 500K. 5000

3. Which of the following are right angles?

A. ∠BTN, ∠EVP, ∠SGZB. ∠AWL, ∠TJQ, ∠ MRDC. ∠CYH, ∠EVP, ∠KLFD. ∠NTB, ∠DRM, ∠SZGE. ∠QJT, ∠HYC, ∠PVE

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TJ

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B

4. Judy conducted an experiment. She put a total of 2⅛ cups of water into an empty container. Then, Judy recorded the amount of water that evaporated from the container each day for four days.

The line plot below shows the amount of water that evaporated from the container on each of the four days.

What mixed number represents the amount of water left in the container at the end of the fourth day?

F. 1²⁄₈G. 1⅜H. 1⁴⁄₈

J. 1⁵⁄₈K. 1⁶⁄₈

5. A scientist watched a group of squirrels collect acorns. Each squirrel ate some of the collected acorns and stored the rest of the collected acorns. The table below shows data for three squirrels in the group. The number of acorns each squirrel stored is missing from the table. Fill in the data that are missing from the table.

A. X = 40, Y = 55, Z = 60B. X = 50, Y = 55, Z = 60C. X = 50, Y = 65, Z = 60D. X = 60, Y = 45, Z = 60E. X = 60, Y = 55, Z = 60

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6. A total of 8 students decorated the front surface of 2 different bulletin boards, 1 in the computer lab and 1 in the library. The computer lab bulletin board has 4 sides and 4 right angles and is 10 feet long and 9 feet tall. The library bulletin board is divided into 6 equal parts, as shown below, and is shaded to show the fraction of the front surface the students finished decorating on Tuesday.

Each student decorated one or the other of the bulletin boards. More students decorated the computer bulletin board than the library bulletin board. Which of the following numbers could be the fraction of students who decorated the computer lab bulletin board?

F. ⅓G. ⅕H. ⁴⁄₈J. ⅘K. ⅝

7. Mr. Thrower sold a total of 30 boxes of sports cards at his store on Monday. These boxes contained only baseball cards and football cards.

Each box contained 25 sports cards. He earned $3 for each sports card he sold. He earned a total of $1134 from the football cards he sold.

What amount of money did Mr. Thrower earn from the baseball cards he sold? In the space on your answer document, use pictures, numbers, and/or words to show how you got your answer.

8. A teacher gives 6 students some cards to play a game. She has 52 cards total. The teacher gives each student 1 card until all 52 cards are gone. How many students get exactly 9 cards?

F. 2G. 4H. 5J. 6K. 7

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9. Juliana divided the part of a number line from 0 to 1 into sections of equal length. She plotted point M on the number line, as shown below. One of the following circles is shaded to represent a fraction that is equivalent to the number represented by point M. Which one?

10. A zookeeper made this line plot to show the ages of all the baboons at a zoo.

What fraction of all the baboons at this zoo are not 8 years old?

F. ⁴⁄₁₂ or ⅓G. ⁵⁄₁₂H. ⁶⁄₁₂ or ½J. ⁸⁄₁₂ or ⅔K. ⁹⁄₁₂ or ¾

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11. Sarah is 12 years old. George is g years old. Sarah is 3 times as old as George.

Choose which statement below is true if given the information above.

A. George is 15 years old.B. George is 12 years old.C. George's age, in years, can be found by solving the equation 12 = 3 x g.D. George's age, in years, can be represented by the expression 3 x 12 = g.E. George's age, in years, can be represented by the expression 12 - 3 = g.

12. The figure below has a perimeter of 37 feet.

What is the length, in feet, of the unknown side?

F. 6G. 8H. 14J. 31K. 41

13. Pablo solved a multiplication problem using two different methods. He made a mistake in either Method W or Method Z.

In your answer document, identify the method where Pablo made a mistake and explain what he should do to correct it.

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14. The measure of angle STV is 117°. What is the measure of angle UTV?

F. 21°G. 31°H. 63°J. 157°K. 203°

15. Which figure appears to have one right angle?

A. B. C. D. E.

16. The model below is shaded to represent a fraction.

Which fraction is equivalent to the one represented by the model?

F. ⅔G. ²⁄₄H. ⅓J. ⅕K. ⅙

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17. The figure below is divided into equal sections.

Which expression represents the fraction of the figure that is shaded?

A. ⅟₁₀ + ⅟₁₀ + ²⁄₁₀B. ⅟₁₀ + ⅟₁₀ + ³⁄₁₀C. ⅟₁₀ + ²⁄₁₀ + ³⁄₁₀D. ³⁄₁₀ + ³⁄₁₀ + ⁴⁄₁₀E. ⁴⁄₁₀ + ⁴⁄₁₀ + ⁴⁄₁₀

18. Sarah wrote the number 13,285. Caryn wrote a 5 digit number that has only one 3 in it. The 3 in Caryn’s number is worth 10 times as much as the 3 in Sarah’s number. Which of the follow responses could Caryn have written?

F. 12,385; 32, 185; 18,325G. 83,215; 82,315; 81,523H. 38,215; 35,185; 83,285J. 23,158; 32,851; 23,518K. 31,285; 31,825; 35,812

19. The principal of a school must buy 19 desks for a new classroom. Each desk costs $61. A student calculates the total cost of the desks using the thought process below:

In your answer document - Identify any mistakes in the student's thought process. Write an expression that represents the total cost of the 19 desks, and explain why it

is correct.

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20 desks at $60 each would cost $1,200.

So 19 desks at $60 each would cost $1,200 - $60.

Because the price of 1 desk is $61 and NOT $60, I must add $1.

So the total cost is $1,200 - $60 + $1.

20. In PE, Zack and his friends had to measure their heights. They each used a different measurement tool, and then recorded their heights in the chart below.

Put the students in order from the tallest to the shortest.

F. Zack, Duncan, CameronG. Cameron, Duncan, ZackH. Duncan, Zack, CameronJ. Zack, Cameron, DuncanK. Duncan, Cameron, Zack

21. Ellen has several bags with different masses of trail mix, as shown in the table below.

Which line plot represents the data in the table?

A. B. C.

D. E. None of the line plots represents the data in the table.

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Student Zack Duncan Cameron

Height 1 yard 3½ feet 34 inches

22. Owen is playing a math game with his brother. He gives these clues about a two- dimensional shape that he is thinking of.

All angles of the shape are obtuse angles. The shape has no perpendicular sides. The shape has parallel sides.

Which of these shapes could Owen be thinking of?

F. hexagonG. rhombusH. squareJ. trapezoidK. triangle

23. Andrés is a baker. He bakes 3,240 cookies in one week. He places the cookies in boxes containing 9 cookies each. What is the total number of boxes Andrés uses?

A. 36B. 46C. 260D. 360E. 460

24. The model below shows a hallway in Maria's house.

? meters

3⁹⁄₁₀ meters

The perimeter of the hallway is 10 ⁴⁄₁₀ meters. What is the width, in meters, of the hallway?

F. 7 ⁵⁄₁₀G. 6 ⁵⁄₁₀H. 2 ⁶⁄₁₀J. 1 ³⁄₁₀K. 1 ²⁄₁₀

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25. Eboni drew the rectangle below with what she said was the line of symmetry. Is she correct

or incorrect? In your answer document, explain your reasoning using words, numbers, and/or pictures.

26. The number of science fair projects entered for each grade in a city-wide science fair is shown.

The science fair projects are set up on tables. There are 99 long tables used. Each long table holds 7 projects. The rest of the projects are set up on short tables. Each short table can hold 4 projects. What is the fewest number of short tables that will be needed for the rest of the projects?

F. 202G. 203H. 354J. 355K. 356

27. Ten numbers are shown in the box below.

Which list includes all the multiples of 8 that are shown in the box?

A. 8, 58, 80B. 1, 2, 4, 8C. 8, 24, 64, 80D. 1, 8, 24, 58, 64, 80E. 1, 8, 24, 64, 80

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28. Some students are painting this backdrop for the school play.

The backdrop is taped off into 12 equal sections for the students to paint.

Mark paints 2 times as much as Jill. Sam paints 3 times as much as Lou. Lou paints 1 section less than Mark. Jill paints ¹⁄₁₂ of the backdrop.

What fraction of the backdrop still needs to be painted?

F. ¹⁄₁₂G. ²⁄₁₂H. ³⁄₁₂J. ⁴⁄₁₂K. ⁵⁄₁₂

29. In Jacob’s yard, there is an apple tree and a pear tree. The apple tree is 4 times as tall as the pear tree. Which pairs of heights below could describe the apple and pear trees?

A. Apple tree: 16 feet, pear tree: 4 feetB. Apple tree: 8 feet, pear tree: 32 feetC. Apple tree: 8 feet, pear tree: 4 feetD. Apple tree: 36 feet, pear tree: 32 feet E. Apple tree: 3 feet, pear tree: 12 feet

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30. Jian’s family sells honey from beehives. They collected 3,311 ounces of honey from the beehives this season. They will use the honey to completely fill 4-ounce jars or 6-ounce jars.

Jian’s family will sell 4-ounce jars for $5 each or 6-ounce jars for $8 each.

In your answer document, explain how to determine the money Jian’s family could make if they use only 6-ounce jars. Include the total amount of money and the total number of 6- ounce jars in your explanation.

31. Which of the following amounts of time is the same as 5 ¾ hours?

A. 5 hours, 15 minutesB. 5 hours, 35 minutes C. 5 hours, 40 minutesD. 5 hours, 45 minutesE. 5 hours, 75 minutes

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