barr-testing-123 (barr-math-testing-123) is made of 10 ...€¦ · 12. rachel is making a wooden...

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Name:_____________________________________________ Date:________________________ 1. Mr. Hanks is building a tree house and a playhouse. Each floor is in the shape of a rectangle. The tree house floor is made of 10 boards that are all the same size as shown. Part A Each board has a length of 7 feet and a width of 6 inches. How many inches wide is the floor? Show your work or explain how you got your answer. Part B The playhouse floor is wider than the tree house floor. It is made with 30 of the same type of boards used in the tree house floor. How many inches wider is the playhouse floor than the tree house floor? Show your work. Part C What is the area, in square feet, of the tree house floor? Show your work or explain how you got your answer. Part D Mr. Hanks is going to paint the floor of the tree house and the playhouse. What is the total area that Mr. Hanks will need to paint? Label your answer and show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ BARR-TESTING-123 (BARR-MATH-TESTING-123) 1

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Page 1: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

Name:_____________________________________________ Date:________________________

1. Mr. Hanks is building a tree house and a playhouse. Each floor is in the shape of a rectangle. The tree house flooris made of 10 boards that are all the same size as shown.

Part AEach board has a length of 7 feet and a width of 6 inches. How many inches wide is the floor? Show your work orexplain how you got your answer.

Part BThe playhouse floor is wider than the tree house floor. It is made with 30 of the same type of boards used in the treehouse floor. How many inches wider is the playhouse floor than the tree house floor? Show your work.

Part CWhat is the area, in square feet, of the tree house floor? Show your work or explain how you got your answer.

Part DMr. Hanks is going to paint the floor of the tree house and the playhouse. What is the total area that Mr. Hanks willneed to paint? Label your answer and show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

BARR-TESTING-123 (BARR-MATH-TESTING-123)

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Page 2: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

2. Valerie baked one full pan of muffins. She gave of the muffins to a neighbor. Which model could represent thepan Valerie used for baking and the muffins that she has left?

A.

B.

C.

D.

3. A report stated that 281,305,769 people visited U.S. national parks in 2010. The author of a travel guide roundedthe number of visitors to 281,300,000. To which place value did the author round the number of people who visitedU.S. national parks in 2010?

A. ten millions

B. ten thousands

C. hundred millions

D. hundred thousands

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Page 3: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

4. Three different reports give the number of people who attended a football game. Each report correctly rounds theactual attendance to a different place value.

Report A says the attendance was 192,000.• Report B says the attendance was 200,000.• Report C says the attendance was 190,000.•

Which number could be the actual attendance at the football game?

A. 190,220

B. 191,804

C. 192,820

D. 199,018

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Page 4: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

5. Tammy is playing a math game. She has a card with the fraction model shown.

She needs to find another card with a different fraction model that represents the same fraction as her card. Whichfraction model represents the same fraction as Tammy’s fraction model?

A.

B.

C.

D.

BARR-TESTING-123 (BARR-MATH-TESTING-123)

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Page 5: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

6. Jack painted a picture using three colors.

of the picture is green.•

of the picture is blue.•

The rest of the picture is purple.•

Which fraction shows the part of Jack’s picture that is purple?

A.

B.

C.

D.

7. A club with 124 members is planning a camping trip. They need to rent cabins and tents for sleeping.

Eight members can sleep in each cabin.• Two members can sleep in each tent.• They plan to rent as many cabins as they can fill.•

How many tents does the club need to rent?

A. 2

B. 4

C. 15

D. 62

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Page 6: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

8. Amy has packs of gum. Kim has packs of gum. Each whole pack of gum has the same number of pieces.A fraction model is shaded to represent this situation.

Which addition problem is equivalent to the one shown in the model?

A.

B.

C.

D.

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Page 7: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

9. Dara made 12 fruit baskets for gifts. She put 2 peaches and 3 pears in each basket. Then she added apples, plums,and oranges.

Dara put four times as many apples as peaches in each basket.• She put twice as many plums as pears in each basket.• She put the same number of oranges in each basket.•

Each basket has 23 pieces of fruit all together.

Part AWhat is the total number of pieces of fruit in all the fruit baskets Dara made? Show your work.

Part BHow many oranges did Dara put in each fruit basket? Show your work or explain how you got your answer.

Part CIf Dara replaces 3 oranges from each basket with 2 grapefruit, what will be the total number of pieces of fruit in all ofthe baskets? Show your work or explain how you got your answer.

Part DDara removes 3 oranges from each basket to fill sacks for the food bank. It takes 8 oranges to fill one sack. Howmany full sacks of oranges can Dara give to the food bank? How many oranges will be left over? Show your work orexplain how you got your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 8: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

10. The length of a tree’s shadow was measured and recorded at three different times one day.

The shadow was 32 feet long at 8:30 a.m.• The shadow was 8 feet long at 12:00 noon.• The shadow was 48 feet long at 5:00 p.m.•

Part AHow many times longer was the shadow of the tree at 8:30 a.m. than it was at noon? Explain your answer.

Part BAt 5:00 p.m. the shadow was 3 times as long as the height of the tree. What was the height, in feet, of the tree? Showyour work or explain your answer.

Part CAnother tree has a shadow 6 feet long at 12:00 noon. Make a table showing the lengths of this tree’s shadow if itincreases by 4 feet every 2 hours beginning at 10:00 a.m. and ending at 6:00 p.m. Explain how you found theunknown lengths.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 9: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

11. The two spinners shown are used for a math game. On each turn, a player spins the arrows on both spinners.

The product of the two numbers determines a player’s move.

2 spaces forward if the product is a prime number• 1 space forward if the product is even and composite• 1 space backward if the product is odd and composite•

Part AList all the products that move the players 2 spaces forward.

Part BList all the products that move the players 1 space forward.

Part CList all the products that move the players 1 space backward.

Part DThe numbers on Spinner 2 were changed. The new products of the numbers on Spinner 1 and Spinner 2 are shown inthis chart. Each column of numbers follows a pattern.

Write the rules for the numbers in each column.

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Page 10: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. Theshelf will be attached to the wall, and Rachel needs to make two legs for support.

Part AWhat is the total number of centimeters in 1.5 meters?

Part B

Rachel bought a piece of wood meter long and had the store cut it into two equal pieces for the legs. Each piece

was meter too short. What was the length Rachel needed each leg to be? Show your work and write your answeras a fraction.

Part C

The width of Rachel’s shelf is meter less than the length. What is the width of the shelf in centimeters? Showyour work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 11: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

13. Marvin and Tomas ran a 5-kilometer race.

Part AHow many centimeters long is a 5-kilometer race? Show your work or explain your answer in words.

Part BMarvin ran the race in 24 minutes and 33 seconds. Tomas ran the race in 26 minutes and 15 seconds. How muchlonger did it take Tomas to run the race than Marvin? Show your work.

Part CThe race started at exactly 8:45 a.m. What time did Tomas finish the race, to the nearest whole minute? Show yourwork.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 12: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

14. Mason used four rectangular pieces of wood to make a slide for his brother. Use these pieces to answer thequestions.

Part AWhat is the difference, in square inches, in the areas of the top of piece B and the top of piece C? Show your work.

Part BTo keep the slide from moving, Mason put a piece of rubber around the perimeter of piece A. What was the length, ininches, of the piece of rubber? Show your work.

Part CMason bought 48 square feet of wood. The price was $1 for 4 square feet of wood. What was the total cost of thewood? Explain your answer.

Part DMason took $20 to the store to buy the wood. He used the money he had left to buy one bucket of paint and one paintbrush. Select one bucket of paint and one paint brush that Mason could have bought. Explain your choice.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 13: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

15. Use this equation to answer Part A and Part B.

Part AEach fraction in the equation should have a different numerator. Zero cannot be one of the numerators. What 3numerators will make the equation true?

Part BDraw a model to represent the equation. Use at least one numerator in your model that you did not use in Part A.

Part CEvaluate the expression below. Show your work or explain your thinking.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 14: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

16. Marcus has 145 songs on his music player. Cory has 435 songs on his music player.

Part AWrite each number in word form.

Part BWrite an inequality using to compare the numbers of songs on each music player. Explain how youknow your answer is correct.

Part CWrite each number in expanded form.

Part DCory added 24 new songs on his music player. Marcus added 6 times as many new songs on his player as Coryadded. What is the total number of songs on Marcus’s music player after this addition? Show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 15: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

17. The diagram shows counters on place-value cards.

Part AWhat number is represented by the counters? Divide this number by 3. Show your work or explain your answer inwords.

Part BRound the number represented by the counters to the nearest ten. Explain your answer.

Part CMake a model of a different number using place-value cards like the ones shown. Put an equal number of counters onthe thousands card and the tens card. Write the number that your model represents. How many times greater is thevalue of the digit in the thousands place than the value of the digit in the tens place?

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 16: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

18. Maria earns $25 working after school. She decides to spend the $25 at the school store to buy gifts for her friends.

Part AThe total price of how many key chains equals the price of 1 T-shirt? Show your work or explain your answer.

Part BMaria decides to buy 4 key chains. She then buys as many book covers as possible. Explain if Maria can buy anythingelse after she buys the book covers. Show your work.

Part CMaria goes to the school store again with $25. She buys the greatest number of different items that she can buy. Herpurchase is equal to all of the money she brought this time. Which items can Maria buy and spend all $25? Explainyour answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 17: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

19. A candy shop sells fudge in two sizes. The weight of each type of box is shown in the picture below.

Part AGina is buying 2 small boxes and 3 large boxes of fudge from the shop. What is the total weight, in pounds, of theseboxes of fudge? Show your work.

Part BA small box of fudge costs $12. A large box of fudge costs $20. What is the total cost of the boxes of fudge Gina isbuying? Show your work.

Part CLast week Gina bought 1 large box of fudge and some small boxes of fudge. The cost of all the boxes of fudge was$56. What was the total weight, in pounds, of the fudge she bought last week? Explain how you got your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 18: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

20. The table shows the lengths of some of the hiking trails at a state park.

Part AMartin hiked the Sycamore trail and the Mountaintop trail last week. What was the total distance he hiked? Showyour work.

Part BMerrilee hiked the Elkhorn trail and Kevin hiked the Meadowland trail. How much farther did Merrilee hike thanKevin? Show your work.

Part CTynan wants to hike 3 different trails totaling at least 15 miles. Explain whether or not there is more than onecombination of 3 different trails she can choose that will be a distance of at least 15 miles. Show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 19: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

21. Jon runs or walks the same distance around his neighborhood every day for exercise. One complete circle aroundhis neighborhood is 2.5 miles starting and ending at his home.

Part AOn Monday, Jon ran and walked in this order.

He started by running 0.8 mile.• He then walked 0.6 mile.• Jon finished the circle by running the rest of the way home.•

How far did Jon run to finish his exercise on Monday? Express the distance as a fraction. Show your work. You mayuse the tape diagram below to help answer the question.

Part BJon changed his exercise pattern on Tuesday so that he ran three times and walked two times.

He started running and then switched between walking and running.• Each section that he walked or ran was the same distance.•

Describe the pattern Jon used on Tuesday to complete one circle around his neighborhood. You may use the tapediagram below to help describe the pattern.

Part CJon likes to run more than walk. Think of a new pattern for Jon to run and walk one complete circle around hisneighborhood.

For this pattern Jon will run twice and walk twice.• Make each section a different distance.• Make Jon’s total running distance longer than his total walking distance.•

Describe a pattern that fits all of these rules. How much farther does Jon run than walk in your pattern?

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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Page 20: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

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22. A box of pancake mix contains 40 ounces of mix. The amount of mix needed to make four 8-inch-diameterpancakes is 2 cups.

Part AHow many ounces of mix are equal to 2 cups? Show your work.

Part BHow many 8-inch pancakes can be made using 40 ounces of pancake mix? Show your work or explain your answer.

Part CMore pancakes that have a 6-inch diameter can be made with 2 cups of pancake mix. What number of cups and whatnumber of pancakes would complete the table below? Explain your answer.

Part DWhich would use more cups of pancake mix?

14 pancakes with a 8-inch diameter• 21 pancakes with a 6-inch diameter•

Show your work or explain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 21: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

23. Andrew has 10 quarters, 4 dimes, and 6 nickels in a jar.

Part AIf there are no other coins or bills in the jar, what is the amount of money in Andrew’s jar? Show your work.

Part BHow many $1 bills can Andrew exchange for the coins he has in the jar? Explain your answer.

Part CHow much additional money does he need for a $5 bill? Explain your answer.

Part DWhat is the least number of coins equal to the amount you got in Part C, using any combination of quarters, dimes, ornickels? Show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 22: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

24. A rectangular space on a wall at school is used to post school announcements. The space is 3 feet in length andhas a perimeter of 12 feet.

Part AWhat is the width, in feet, of the rectangular space? Show your work.

Part BWhat is the area, in square feet, of the rectangular space? Show your work.

Part CThe rectangular area needs to be enlarged. The new rectangular area will be two times the area you found in Part B. Ifthe width remains the same, what is the length of the larger rectangular area? Show your work.

Part DLook at the following statement.

If the area of a rectangle is doubled, then the perimeter of the larger rectangle will be two times the original perimeter.

Is this statement always true? Explain your answer by giving an example.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 23: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

25. Wendy and her mother went to a yard sale. This sign was posted at the yard sale.

Part AWendy has $75. She wants to spend $15 on toys. She can use this equation to find how many toys she can buy with$15.

Solve the equation to find the number of toys Wendy can buy. Show your work.

Part BWendy’s mother plans to spend up to $105 for chairs. Write an equation to find how many chairs she can buy. Use cin the equation to represent the number of chairs she can buy.

Part CSolve the equation you wrote in Part B. What is the greatest number of chairs Wendy’s mother can buy? Show yourwork.

Part DWendy and her mother want to buy some other items with the money they have left over. They want to buy 5 golfclubs, 4 shirts, and 5 books. Do they have enough money to buy all of these items? Show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 24: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

26. Joel is practicing his multiplication skills. He is looking for patterns when he multiplies a number by 35.

Part AJoel multiplied using the area model shown.

Complete the area model and write the value of .

Part BJoel found the product of in a different way. Use a way other than an area model to find the product of

. Show your work.

Part CJoel multiplied more numbers by 35 and made the table below.

The answers from Part A and Part B will complete the table. What do you notice about the last digit for all themultiples of 35?

Part DJoel guessed that 35 times an even number always has a last digit of 0. Explain in words why the area model in Part Ashows that Joel’s guess is correct.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 25: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

27. A sheet of scented stickers has 18 stickers. There are 36 sheets of scented stickers in one package.

Part AHow many scented stickers are in one package? Show your work.

Part BA store has 20 packages of the scented stickers. What is the total number of scented stickers the store has? Show yourwork.

Part CThe store also sells star-shaped stickers. The total number of star-shaped stickers in one package can be calculatedusing the expression Based on this expression, how many star-shaped stickers are on onesheet and how many sheets are in one package? Label your answers.

Part DThe store always keeps between 1 and 20 whole packages of stickers of each type of sticker. Is it possible for thestore to have the same total number of scented and star-shaped stickers? Explain your answer and show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 26: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

28. Complete the rounding table to answer the questions.

Part AWrite the rounded values in order from least to greatest. Use the appropriate comparison symbol inyour answer.

Part BBrody states that the rounded values for 416,283 are always less than the original value of the number. Do you agreeor disagree with Brody? Use the rounded numbers in Part A to explain why you agree or disagree.

Part CIf all of the rounded numbers are plotted on a number line, which numbers would be 200 or less away from 416,283?Explain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Page 27: BARR-TESTING-123 (BARR-MATH-TESTING-123) is made of 10 ...€¦ · 12. Rachel is making a wooden shelf for her garage. She plans to use a piece of wood that is 1.5 meters long. The

29. The models shown are shaded to represent Fraction 1 and Fraction 2.

Part AWrite an equation or inequality that compares the sizes of these two fractions. Use the correct symbol or Explain how you compared their sizes.

Part BA new unshaded model labeled Fraction 3 is shown.

What fraction of the whole does each section of Fraction 3 represent? Is one section of the Fraction 3 model greater orless than one section of the Fraction 1 model? Explain your answer.

Part CHow many sections of the model would you shade to make Fraction 3 greater than Fraction 1 but less than onewhole? Use the fraction that your shaded model would represent to write an inequality that compares it to Fraction 1.

Part DDraw a model with a different number of sections from the model of Fraction 3 to represent a fraction that is equal toFraction 3. Explain how you know that the two fractions are equal.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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30. Nadia needs to find the value of Which expression represents

A.

B.

C.

D.

31. Roger has 7 dimes and 17 pennies. The total amount of money Roger has, in dollars, can be found by evaluating

Which fraction is equal to the total amount of money Roger has, in dollars?

A.

B.

C.

D.

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32. In the figure shown,

What is the measure of

A.

B.

C.

D.

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33. Miguel is shown standing next to a number line.

What is Miguel’s height, in meters, written as a decimal?

A. 0.09

B. 0.9

C. 0.99

D. 9.0

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34. Which shaded fraction model correctly shows the decomposition of

A.

B.

C.

D.

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35. Members of a school club sold bottled water and bags of popcorn at a basketball tournament. They had a total of78 water bottles to sell for the 3-day tournament. They used the school’s popcorn machine to make as many bags ofpopcorn as they could sell.

Part ABefore the tournament started, the club’s goal was to raise a total of $800. If they sold water bottles for $1 each andpopcorn for $2 each, how many total bags and bottles would they need to sell? Explain how you got your answer.

Part BThe club sold 5 packs of 6 bottles each on the first day. How many water bottles did they have left to sell after thefirst day? Write an equation that could be solved to answer the question. Use n to represent the unknown quantity inyour equation.

Part CThe club sold bags of popcorn for $2 each. At the end of the third day, they had received a total of $588 selling thebags of popcorn. How many bags of popcorn did they sell at the tournament?

If they sold the same number of bags each day of the tournament, how many bags did they sell in one day? Showyour work to find the total number of bags sold for the tournament and number of bags sold per day.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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36. The numbers of tickets sold at different prices for a baseball game are listed in the table.

Part AHow much money was received for selling tickets that cost less than $8? Show your work.

Part BCompare the value of the digit 4 in 5,417 to the value of the digit 4 in 1,034. How many times greater is one valuethan the other value? Explain your answer.

Part CAndrew made this table to show the prices of several tickets at different prices. Create a copy of the table below andfill in the missing dollar amounts.

Andrew spent $62 on tickets. He bought at least 1 of each ticket price. How many of each ticket price could he havebought? Show your work or explain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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37. The figure shows the front view of a door. A large glass window covers most of the top half of the door.

Part AMarissa says the shaded figures in the window are rhombi because they each have 2 sets of parallel lines. Did Marissaclassify the shaded figures correctly? Explain your answer.

Part BBased on the angles, what type of triangle is shown in the glass window on the door? Explain your answer.

Part CCan a line of symmetry be drawn on the door? Explain why or why not.

Part D

The width of the door is 3 feet, and the height is feet. What are the dimensions of the door in inches? Show howyou got your answers.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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38. One bamboo plant is 8 feet tall. A second bamboo plant is 24 feet tall. Sarah says that the second bamboo plant is3 times as tall as the first bamboo plant.

Part AWrite an equation that represents the relationship between the heights of these two bamboo plants. Explain why youchose your equation.

Part BChase disagrees with Sarah and says that the second bamboo plant is 16 times as tall as the first plant. What mistakedo you think Chase made? Explain why he is incorrect.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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39. Cesar computes the product of 26 and 43.

Part AWrite each number in expanded form. Use the expanded numbers to explain whether 26 or 43 is greater.

Part BCesar started drawing the area model shown below to find the product of 26 and 43.

Draw a copy of the area model Cesar started. Then use the figures in the Key to complete the model. What is theproduct of 26 and 43?

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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40. The table shows the weights of several zebras.

Part AYolanda rounded each weight to the nearest hundred and said the combined weight was about 2,000 pounds. DoesYolanda’s statement make sense? Use what you know about rounding to explain your answer.

Part BThe zebras were moving to a different zoo and needed to be transported on a trailer in 2 trips. Which zebras would beon the trailer each trip if 2 of the zebras were taken at one time, and the total weight was no more than 1,025 poundson each trip? Show your work.

Part CThe rectangle shows the 135-square-foot watering hole for the zebras.

What is the value of w ? Show your work.

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41. A restaurant owner has $1,000 to spend on vegetables at a farmers’ market.

Part AHow many baskets of cucumbers could the owner buy if she only buys cucumbers? Explain how you got your answerusing an equation.

Part BIf the owner buys 25 baskets of tomatoes, how much money will she have left? Show your work.

Part CBaskets of carrots are also for sale at the farmers’ market for $6 each. How much more would 45 baskets of pepperscost than 45 baskets of carrots?

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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42. Students in Mr. Kingston’s class are learning about the attributes of two-dimensional figures. He put up thedisplay shown so the students could study the figures.

Use the figures in Mr. Kingston’s display to answer the following questions.

Part AList the figures that have at least one set of perpendicular lines. Explain your answer.

Part BList the figures that have only acute angles. Explain your answer.

Part CList the figures that have at least one set of parallel lines. Explain your answer.

Part DMr. Kingston had his students draw and name a shape that has more than two lines of symmetry and is not one of theshapes shown above. Draw and name a shape, not shown above, that has more than two lines of symmetry. Draw inthe lines of symmetry of your shape and explain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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43. The list shows the amount of change each student received after buying lunch.

Gabby received $0.50.♦

Brandon received $0.46.♦

Veronica received $0.34.♦

Rick received $0.55.♦

Part ACompare the change that Gabby received to the amount Rick received using the symbols Explain youranswer.

Part BIf Rick’s lunch cost $1.45, how much money did he have before he paid for his lunch? Explain your answer.

Part CRewrite the amount of change each student received as a fraction using 10 or 100 as the denominator. Explain youranswer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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44. A company is planting new grass on a lawn. The lawn is in the shape of a rectangle with the dimensions shown.

Part AThe company needs to know how many square feet of grass it needs to plant to cover the lawn. What is the area of thelawn? Show your work or explain your answer.

Part BThe owner also wants to know the perimeter of the lawn to install a fence. What is the perimeter of the lawn? Showyour work or explain your answer.

Part CThe owner wants to place bricks against the longest side of the lawn as a walkway. The bricks are 2 feet long and willbe placed end-to-end. How many bricks can the owner fit against the longest side of the lawn? Show your work orexplain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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45. A fourth grade class is learning about angles. Henry points out that when he opens his book, the inside edgemakes an angle, as shown in the picture below.

Part AWhat fraction of the circle does the angle created by the open book cover equal? Explain your answer.

Part BWhat is the measure in degrees of the angle of the open book? Explain your answer.

Part CHenry’s friend said if he closes the book, the angle will be 180 degrees. Is Henry’s friend correct? Why or why not?Explain your answer.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

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46. The teacher drew two quadrilaterals on the board.

Part AWhat is the special name for the quadrilateral in Figure 1? Explain your answer.

Part BWhat is the special name for the quadrilateral in Figure 2? Explain your answer.

Part CHow many line(s) of symmetry do quadrilaterals that are the same type as Figure 1 have?

Prove your answer by drawing two different quadrilaterals that are the same type as Figure 1. Show the line(s) ofsymmetry for your quadrilaterals.

Part DHow many line(s) of symmetry do quadrilaterals that are the same type as Figure 2 have?

Prove your answer by drawing two different quadrilaterals that are the same type as Figure 2. Show the line(s) ofsymmetry for your quadrilaterals.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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47. Gwen and Lisa each separated their sheets of paper into equal parts.

Gwen shaded of her sheet, and Lisa shaded of her sheet.

Part AHow much more of Gwen’s paper was shaded than Lisa’s paper? Show how you got your answer using equivalentfractions.

Part BWrite your answer from Part A as a decimal. Show your work or explain your answer.

Part C

Is your answer from Part B greater than or less than Explain your answer.

Part D

Taliba shaded her sheet of paper, also. She shaded an area that was more than greater than Lisa’s shading, but

less than 1 whole sheet of paper. Did Taliba shade more or less than of her paper? Explain your answer.

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________________________________________________________________________

48. The figure shown is a parallelogram with line segments drawn between each pair of parallel sides. The anglesformed where the line segments intersect are numbered 1 to 4.

Use the figure to answer the questions.

Part AWhat is the sum of the measures of angles 1 and 2? Explain your answer.

Part BThe sum of the measures of angles 2, 3, and 4 is 305 degrees. What is the measure of angle 1 in degrees? Explainyour answer.

Part CUsing your answers from Part A and Part B, write an equation to determine the measure of angle 2 in degrees. Use ato represent the measure of angle 2.

Part DSolve the equation to find the measure of angle 2 in degrees.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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49. Maurice drinks four 8-ounce glasses of milk every day. How many pints of milk does he drink each day?

A. 2 pints

B. 4 pints

C. 16 pints

D. 32 pints

This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

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50. Which figure below has a single line of symmetry?

A.

B.

C.

D.

This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

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51.

Which of the following lines appears to be perpendicular to ?

A.

B.

C.

D.

This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

52. Which point on the number line below best represents 0.8?

A. point A

B. point B

C. point C

D. point D

This online assessment item contains material that has been released to the public by the Massachusetts Department of Education.

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53. Identify an obtuse angle from the picture below.

A. B. C. D.

54.

The census of a city counts 99,896 families with 378,533 children and 121,323 adults. According to this census, whatis the best estimate of the city's population?

A. 600,000 peopleB. 500,000 peopleC. 121,000 peopleD. 100,000 people

55.

At the grocery store, Shana's father bought six items with the following prices: $2.49, $1.19, $0.99, $0.99,$5.39, and $1.09. Assuming there is no sales tax, what is the best estimate of the total bill?

A. $9.00B. $12.00C. $13.00D. $15.00

56.

Which answer is the best estimate of the mass of a family car?

A. 25 kilogramsB. 250 kilogramsC. 2,500 kilogramsD. 25,000 kilograms

57. 142 inches is the same as

A. 14 feet, 2 inches.B. 11 feet, 10 inches.C. 3 feet, 34 inches.D. 1 foot, 22 inches.

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58. Which of these represents all the lines of symmetry of the given figure?

A.

B.

C.

D.

59. How many lines of symmetry does a regular hexagon have?

A. 4B. 5C. 6D. 7

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60.

This triangle is a(n) _________ triangle.

A. scalarB. scaleneC. isoscelesD. equilateral

61.

Ben is going to add all the angles in a shape. Which of these shapes will have the greatest total?

A. triangleB. squareC. trapezoidD. pentagon

62.

There are 2,457 boxes of pencils. There are 13 schools in a town. Each school will get the same number of boxes.How many boxes will each school get?

A. 112B. 118C. 134D. 189

63.

360 ÷ 30 yields the same quotient as

A. 36 ÷ 3.B. 36 ÷ 12.C. 360 ÷ 3.D. 360 ÷ 12.

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64.

Alex counted the number of cars in different parking lots.

42, 30, 12, 36, 18, 24, 72

Which is true about Alex�s data?

A. All of the numbers are multiples of 4.B. All of the numbers are multiples of 5.C. All of the numbers are multiples of 6.D. All of the numbers are multiples of 7.

65.

Which of these form a 60° angle?

A. PKQB. PKRC. PKSD. PKT

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66.

Which statement describes the rotation of this figure?

A. The heart rotated 50°.B. The heart rotated 90°.C. The heart rotated 180°.D. The heart rotated 360°.

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67. The diagram below shows a group of pipes in a basement. Which two pipes appear to be parallel?

A. Pipes 1 and 3

B. Pipes 2 and 3

C. Pipes 1 and 4

D. Pipes 2 and 4

Permission has been granted for reproduction by the Virginia Department of Education© Virginia Department of Education

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68. Which two points appear to lie on the line of symmetry for the shaded figure shown on the grid below?

A. Points M and R

B. Points R and Z

C. Points W and X

D. Points Y and Z

Permission has been granted for reproduction by the Virginia Department of Education© Virginia Department of Education

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69. The first ten shapes in a pattern are shown below. Lionel is making the pattern by repeating the first sixshapes in the same order as shown in the picture.

If Lionel continues the pattern in the same way, what will be the 16th shape in the pattern?

A.

B.

C.

D.

Permission has been granted for reproduction by the Virginia Department of Education© Virginia Department of Education

70.

The measure of the angle shown is —

A.

B.

C.

D.

Permission has been granted for reproduction by the Virginia Department of Education© Virginia Department of Education

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71. The first four figures in a pattern are shown.

If the pattern continues to double the number of dots, what will be the total number of dots in the 6th figure inthe pattern?

A. 128

B. 64

C. 32

D. 14

Permission has been granted for reproduction by the Virginia Department of Education© Virginia Department of Education

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Answer Key

1.

2. A)

3. D) hundred thousands

4. B) 191,804

5. B)

6. A)

7. A) 2

8. D)

9.

10.

11.

12.

13.

14.

15.

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16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30. D)

31. B)

32. C)

33. B) 0.9

34. D)

35.

36.

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37.

38.

39.

40.

41.

42.

43.

44.

45.

46.

47.

48.

49. A) 2 pints

50. C)

51. A)

52. C) point C

53. B)

54. B) 500,000 people

55. B) $12.00

56. C) 2,500 kilograms

57. B) 11 feet, 10 inches.

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58. A)

59. C) 6

60. B) scalene

61. D) pentagon

62. D) 189

63. A) 36 ÷ 3.

64. C) All of the numbers are multiples of 6.

65. A) PKQ

66. C) The heart rotated 180°.

67. C) Pipes 1 and 4

68. C) Points W and X

69. D)

70. C)

71. B) 64

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