washington msp review 6th grade - nthurston.k12.wa.us · washington msp review 6th grade ......

56
Washington MSP Review 6 th Grade Name ____________ ISBN: 978-1-57290-280-0

Upload: ngodang

Post on 04-Jun-2018

215 views

Category:

Documents


0 download

TRANSCRIPT

Washington MSP Review

6th Grade

Name ____________

ISBN: 978-1-57290-280-0

Washington Algebraic Thinking Foundations 6th Grade

1 Copyright © 2009-2010 National Training Network

MSP Review Day 1

1. Jerry purchased a giant bag of snack mix. The bag contains 8 12

cups of the snack

mix. The information on the back says that a serving size is 13

of a cup. How many

servings are in the bag? 2. What is the volume of the rectangular prism? A. 9 cubic units B. 18 cubic units C. 45 cubic units D. 54 cubic units 3. Joanie is four years older than twice her sister Louise’s age. Which of the following

expressions could be used to represent Joanie’s age? A. 2l + 4 B. 2l – 4 C. 4l + 2 D. 4l – 2

How many servings are in the bag? ________________________ servings

Washington Algebraic Thinking Foundations 6th Grade

2 Copyright © 2009-2010 National Training Network

4. Tim was asked to put the following numbers in order from least to greatest: 54 , 0.45,

0.4, 107 . Which of the following should Tim choose as the correct answer? Use the

number line to help you.

A. 54 , 0.4, 0.45,

107

B. 0.4, 54 , 0.45,

107

C. 0.4, 0.45, 710

, 45

D. 0.4, 0.45, 54 ,

107

5. James is building a rectangular sandbox with a width of 4.8 feet and a length of 7

feet. How much wood will James need to buy to construct the frame for the sandbox?

Show your work using words, numbers, and/or pictures.

0 1 12

__________________________________________________________________

__________________________________________________________________

__________________________________________________________________

__________________________________________________________________

How much wood will James need? ________________ feet

Washington Algebraic Thinking Foundations 6th Grade

3 Copyright © 2009-2010 National Training Network

MSP Review Day 2

1. Amy used 1 45

cups of flour in her cake. Amy’s friend used 56

times as much flour in

her cake. How much flour did Amy’s friend use in her cake?

A. 112

B. 213

C. 24125

D. 19230

2. Sara read the following problem: Four friends decide to drive to the beach for summer break. The trip is a total of 472

miles. They think it will take about 8 hours to get there. They plan on stopping every 2 hours for a break and to change drivers. If each person drives the same distance, how far does each friend drive?

Which of the following facts is unnecessary to solve the problem? A. Four friends are on the trip. B. The trip is 472 miles. C. The trip will take 8 hours. D. Each person will drive the same distance.

Washington Algebraic Thinking Foundations 6th Grade

4 Copyright © 2009-2010 National Training Network

3. If a = 8 and b = 7, what is the value of 3a + b? 4. Sue-Ellen is taking a typing course as a college prep class. Her time has consistently

improved, and she is now able to type 120 words in 3 minutes. At that rate, how many words can she type in 5 minutes?

Set up and solve a proportion. Show your work in the space below.

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_______________________

How many words can Sue-Ellen type in 5 minutes? ________________

What is the value of 3a + b? ______________________

Washington Algebraic Thinking Foundations 6th Grade

5 Copyright © 2009-2010 National Training Network

5. A circular wall clock has a radius of 9.5 inches. About how large is the

circumference of the clock? A. 19 in. B. 38 in. C. 57 in. D. 1,083 in.

Washington Algebraic Thinking Foundations 6th Grade

6 Copyright © 2009-2010 National Training Network

MSP Review Day 3

1. Write the following integers in order from least to greatest.

–3, 2, –5, –6, 5

A. 2, –3, –5, 5, –6 B. –3, –5, –6, 2, 5 C. 5, 2, –3, –5, –6 D. –6, –5, –3, 2, 5 2. Which linear function shows the relation in the table?

A. y = x + 5 B. y = 5x + 1 C. y = 5x – 1 D. y = x − 5 3. The following marbles are in a bag: 12 red, 15 green, 5 blue, 10 yellow, and 8 black.

What is the probability of picking a marble that is not yellow out of the bag, without looking?

A. 15

B. 14

C. 45

D. 4

x 1 2 3 4 y 6 11 16 21

Washington Algebraic Thinking Foundations 6th Grade

7 Copyright © 2009-2010 National Training Network

4. What is the approximate area of the circle? A. 37.68 cm2 B. 75.36 cm2 C. 113.04 cm2 D. 425.16 cm2

5. The chef at a restaurant needs to make 216 batches of bread for a party. Each batch

of bread calls for 852 cups of flour. How much flour does the chef need?

A. 873

B. 819

C. 16512

D. 17 116

Explain using words, numbers, and/or pictures why it is the correct answer.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

12 cm

Washington Algebraic Thinking Foundations 6th Grade

8 Copyright © 2009-2010 National Training Network

MSP Review Day 4

1. What is the volume of a rectangular prism with a length of 8 cm, a width of 4 cm,

and a height of 5 cm? A. 17 cm3 B. 32 cm3 C. 44 cm3 D. 160 cm3 2. Marcellus is at the farmers’ market. He would like to purchase 3.12 pounds of

bananas. The bananas cost $0.75 per pound. How much will Marcellus need to pay for the bananas?

A. $2.34 B. $2.37 C. $3.87 D. $234.00 3. Which of the following uses the distributive property correctly to simplify the

following expression?

13(45) A. 10(40) + 3(5) B. 13(40) + (5) C. 13(40) + 13(5) D. 13 + 40 • 13 + 5

Washington Algebraic Thinking Foundations 6th Grade

9 Copyright © 2009-2010 National Training Network

4. During the first 25 days of school, Anwar has been absent twice. What is the

probability that Anwar will be in school on the 26th day? Express your answer as a percent.

5. Graph the linear function shown in the table below.

x 1 2 3 4 y 6 11 16 21

20

16

12

8

4

y

x 10 862 4

Washington Algebraic Thinking Foundations 6th Grade

10 Copyright © 2009-2010 National Training Network

MSP Review Day 5

1. According to the properties of addition, which of the following expressions is

equivalent to 3.56 + (27.9 + 19.8)? A. 3.56 • (27.9 + 19.8) B. (3.56 + 27.9) • 19.8 C. (3.56 + 27.9) + 19.8 D. (3.56 • 27.9) • 19.8 2. The width of the grocery store parking lot is 278.5 feet. The store manager wants to

repaint the lines, so that each row of parking spaces has room for 20 cars. Rounding to the nearest tenth of a foot, how wide will each parking space need to be?

A. 10.8 ft B. 13.4 ft C. 13.9 ft D. 14.1 ft 3. Tonya works at a restaurant. A recipe for a punch calls for 5 quarts of fruit punch. If

Tonya plans on making 6 batches of the punch, how many quarts of fruit punch does she need?

A. 10 quarts B. 11 quarts C. 15 quarts D. 30 quarts

Washington Algebraic Thinking Foundations 6th Grade

11 Copyright © 2009-2010 National Training Network

4. What is the area of the hexagon pictured below?

5. Which point is at –3? M P –1 0 1 R S A. M B. P C. R D. S Explain using words, numbers, and/or pictures why it is the correct answer.

12 ft4 ft

3 ft

2 ft20 ft

What is the area of the hexagon? ________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

Washington Algebraic Thinking Foundations 6th Grade

12 Copyright © 2009-2010 National Training Network

MSP Review Day 6

1. How many 132

foot shelves can you cut from a 1312

foot board?

A. 19

board

B. 9 boards C. 28 boards

D. 110 14

boards

2. What is the radius of the circle? A. 48 mm B. 24 mm C. 12 mm D. 8 mm 3. A group of friends, f, went to the mall, purchased 4 bracelets, and decided to split the

cost. Each bracelet cost m dollars. Which algebraic expression represents the situation?

A. fm ÷4 B. mf ÷4 C. m4 – f D. mf 4+

24 mm

Washington Algebraic Thinking Foundations 6th Grade

13 Copyright © 2009-2010 National Training Network

4. Brittany has a bag with 30 marbles in it. There are 10 green marbles, 4 yellow

marbles, 5 purple marbles, 6 black marbles, and 5 white marbles. She picked a marble out of the bag and replaced it a total of 50 times. The results of her experiment are in the table below.

What is her experimental probability of choosing a black marble?

Color Green Yellow Purple Black White Number of

Times Picked

16 9 5 7 13

5. The wind chill on a cold day made it feel like 8 degrees below zero. Which integer correctly represents this temperature?

A. –16 B. –8 C. 0 D. 8

What is her experimental probability of choosing a black marble? __________

Washington Algebraic Thinking Foundations 6th Grade

14 Copyright © 2009-2010 National Training Network

MSP Review Day 7

1. The U.S. soccer team has won 22 of the 31 games played so far this season. What is

their win-loss ratio? A. 22 : 31 B. 22 : 9 C. 9 : 22 D. 31 : 22 2. Jan, Betty, and Wendy worked on Saturday at a bake sale. Jan sold 36 cakes. Betty

sold six more cakes than Jan, and Wendy sold 20 cakes. The cakes cost $3.00 a piece.

What fact is not needed to answer how much money Jan and Wendy made? A. Jan sold 36 cakes. B. Wendy sold 20 cakes. C. Betty sold six more cakes than Jan. D. The cakes cost $3.00 a piece.

3. A hiking trail is 12 38

miles long. Russell is walking at a pace of 2 14

miles per hour.

If he keeps up this pace, how long will it take him to walk from the beginning to the end of the trail?

A. 211

of an hour

B. 152

hours

C. 6 hours

D. 1104

hours

Washington Algebraic Thinking Foundations 6th Grade

15 Copyright © 2009-2010 National Training Network

4. What is the value of r in the equation 5r = 295? 5. Adrienne wants to put a garden around a small tree in her front yard. She wants to

put some bricks around the base of the tree to enclose the garden. Since the trunk is a circular shape, she plans on putting the bricks in a circular shape. If the tree is the center of the circle garden, and the measurement from the tree to the outside of the garden is 4 feet, about how many feet of bricks will she need?

A. 12 feet B. 24 feet C. 48 feet D. 192 feet Explain using words, numbers, and/or pictures why it is the correct answer.

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

_________________________________________________________________________

Washington Algebraic Thinking Foundations 6th Grade

16 Copyright © 2009-2010 National Training Network

MSP Review Day 8

1. What is 3.45 multiplied by 0.8? Show your work. 2. There are 14 boys in a class. There are 32 total students in the class. Which is the

ratio, in simplest form, of boys to girls in the class?

A. 716

B. 79

C. 97

D. 167

3. How many faces does a triangular prism have? A. 2 B. 3 C. 4 D. 5

Washington Algebraic Thinking Foundations 6th Grade

17 Copyright © 2009-2010 National Training Network

4. Jenny and Sara are comparing their sticker collections. Sara has seven times as many

stickers as Jenny. Sara has 826 stickers. Write an equation that can be used to find the number of stickers that Jenny has.

A. 7 + j = 826

B. 8267j=

C. 7j = 826 D. j – 7 = 826 Explain using words, numbers, and/or pictures why it is the correct answer. 5. Manuel researched the temperature in four states for one day in January. In North

Carolina, the temperature was 34°F, in New York it was –20°F, in Washington it was –10°F, and in New Jersey it was –5°F. Which state had the lowest temperature?

A. North Carolina B. New York C. Washington D. New Jersey

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_______________________________________

Washington Algebraic Thinking Foundations 6th Grade

18 Copyright © 2009-2010 National Training Network

MSP Review Day 9

1. Theresa practices free throws every day. Yesterday she practiced them for 710

of an

hour. Today she practiced them for 23

as much time as she practiced yesterday.

What fraction of an hour did she practice today?

A. 130

of an hour

B. 715

of an hour

C. 1120

hours

D. 127

hours

2. There are 39 students on the school track team. This is 15 more than the number of

students on the softball team. Solve the equation x + 15 = 39 to find how many students are on the softball team.

A. 24 B. 34 C. 44 D. 54

Washington Algebraic Thinking Foundations 6th Grade

19 Copyright © 2009-2010 National Training Network

3. Some special number cubes have 10 sides which are numbered from 1 to 10. If you

rolled this type of number cube, what is the probability of rolling a number greater than 4?

Show your work in the space below. 4. How many edges does the following figure have?

A. 4 B. 5 C. 6 D. 8

5. Which of the symbols makes the following statement true?

–13 _______ –17 A. < B. > C. ≤ D. =

What is the probability of rolling a number greater than 4? _________________________

Washington Algebraic Thinking Foundations 6th Grade

20 Copyright © 2009-2010 National Training Network

MSP Review Day 10

1. What is the quotient of 111.813 and 3.9?

A. 2.867 B. 11.892 C. 20.21 D. 28.67 2. What percent is shown in the picture to the right? A. 4% B. 20% C. 40% D. 50%

3. What is the approximate circumference of the circle? A. 15.7 cm B. 31.4 cm C. 78.5 cm D. 314 cm

5 cm

Washington Algebraic Thinking Foundations 6th Grade

21 Copyright © 2009-2010 National Training Network

4. Megan and her two sisters went to the movies. The tickets cost $7.50 each. They

bought a large popcorn to share at $5.75, but they each got their own small drink for $2.25 a piece. How much money did they spend at the movies in all?

A. $15.50 B. $35.00 C. $39.75 D. $46.50 5. Maurice plays baseball every summer for a city league. Last year, he got on base 44

times. This is twelve fewer times than he got on base last year. Write and solve an equation to find the number of times he got on base this year.

Set up and solve an equation. Show your work in the space below.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

___________________________________________

How many times did Maurice get on base last year? ________________

Washington Algebraic Thinking Foundations 6th Grade

22 Copyright © 2009-2010 National Training Network

MSP Review Day 11

1. Taylor is adding 38

and 16

. What is the sum of the two fractions?

A. 524

B. 27

C. 1324

D. 1 2. Ground beef costs $3.95 per pound at the grocery store. One customer spent $33.18

on ground beef for a barbecue. Choose the equation and solution that would correctly show how many pounds of ground beef the customer bought.

A. 3.95 33.18x

= ; x = 37.13

B. 3.95x = 33.18; x = 8.4 C. x + 3.95 = 33.18; x = 29.23

D. 3.95 33.18x

= ; x = 8.4

3. Quaneisha had a final science test at the end of the semester. There were 150

questions. If she got 20% of the questions incorrect, how many questions did she get incorrect?

A. 30 questions B. 20 questions C. 15 questions D. 10 questions

Washington Algebraic Thinking Foundations 6th Grade

23 Copyright © 2009-2010 National Training Network

4. The band is making posters to advertise a car wash fundraiser. The posters are 17 25

inches long and 12 13

inches wide. What is the difference between the length and

width?

A. 5 115

inches

B. 5 15

inches

C. 5 13

inches

D. 5 12

inches

Explain using words, numbers, and/or pictures why it is the correct answer. 5. How many vertices does the figure below have? A. 4 B. 6 C. 8 D. 10

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

___________________________________________

Washington Algebraic Thinking Foundations 6th Grade

24 Copyright © 2009-2010 National Training Network

MSP Review Day 12

1. What is the volume of the rectangular prism? A. 36 cubic units B. 33 cubic units C. 12 cubic units D. 9 cubic units 2. Solve 8 + x = 16 for x. A. x = 2 B. x = 8 C. x = 24 D. x = 128

3. Which of the following choices represents 114

on the number line?

A. point K B. point L C. point M D. point N

M N L

–2 –1 0 1 2

K

Washington Algebraic Thinking Foundations 6th Grade

25 Copyright © 2009-2010 National Training Network

4. Fiona’s father sent her to the store to pick up some items for dinner. His grocery list

and the price of each item, including tax, are in the table.

Item Cost Item Cost Milk $2.99 Salt $1.57

1 Box of Spaghetti $0.64 Spaghetti Sauce $1.89 Loaf of Italian

Bread $1.04 Tub of Butter $2.09

Can of Mushrooms $0.89 Grated Parmesan Cheese

$2.15

Cookies $2.55 Frozen Meatballs $4.25 Her father gave her $40.00 to cover the items and told her he wanted all of his

change back. She also decided to buy a book and a soda with her own money. The book cost $7.29, and the soda cost $1.09. How much money should her father receive back?

Show your work using words, numbers, and/or pictures.

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

___________________________________

How much money should her father receive back? ________________

Washington Algebraic Thinking Foundations 6th Grade

26 Copyright © 2009-2010 National Training Network

5. Tanya keeps all of her DVDs in a large plastic container, and they are not organized

in any way. She has 20 drama DVDs, 18 comedy DVDs, and 12 action DVDs. What is the probability that if she reaches in and chooses one, she will choose a comedy?

Show your work in the space below.

What is the probability that she will choose a comedy? _________________________

Washington Algebraic Thinking Foundations 6th Grade

27 Copyright © 2009-2010 National Training Network

MSP Review Day 13

1. Divide 0.747 by 0.09. 2. What is the surface area of the square pyramid? A. 184 in.2 B. 304 in. 2 C. 480 in. 2 D. 544 in. 2 3. What is the value of m?

m – 9 = 54 A. m = 6 B. m = 45 C. m = 63 D. m = 486

8 inches

15 inches

Washington Algebraic Thinking Foundations 6th Grade

28 Copyright © 2009-2010 National Training Network

4. The local animal shelter has 84 cats. The ratio of dogs to cats is 3 to 7. How many

dogs are currently in the shelter? A. 36 B. 72 C. 77 D. 196 5. Which of the following statements is a true statement? A. –12 < –15 B. 9 < –18 C. –2 > 1 D. –21 > –25

Washington Algebraic Thinking Foundations 6th Grade

29 Copyright © 2009-2010 National Training Network

MSP Review Day 14

1. Emil is tiling his kitchen floor. The area of his floor is 98.2 square feet. If the tile

costs $1.23 per square foot, how much will it cost to the nearest penny to tile the floor?

A. $99.43 B. $110.50 C. $120.79 D. $251.58 2. Juan, Dominique, Jayden, and Sara were tossing a coin in math class and recording

the number of times their coin landed on tails. They were each responsible for tossing the coin 50 times. The results are recorded in the table below. What is Dominique’s experimental probability of flipping tails?

Student Juan Dominique Jayden Sara Tails 27 30 25 24 Total Tosses 50 50 50 50

A. 310

B. 25

C. 12

D. 35

Washington Algebraic Thinking Foundations 6th Grade

30 Copyright © 2009-2010 National Training Network

3. Danielle is going to spin the spinner below. What is the theoretical probability that

she will land on the complement of a multiple of 3?

A. 18

B. 14

C. 34

D. 78

4. Three sisters were picking strawberries. One sister picked 2 14

quarts, the second

sister picked 3 45

quarts, and the youngest sister picked only 18

of a quart. Which is

the best estimate for the number of quarts the sisters picked all together? A. 5 B. 6 C. 8 D. 9

4 1 2 3

8 5 7 6

Washington Algebraic Thinking Foundations 6th Grade

31 Copyright © 2009-2010 National Training Network

5. Roslyn is writing an autobiography. She is able to write 5 pages each hour. At that

rate, how many minutes would it take her to write 2 pages? A. 12 minutes B. 24 minutes C. 30 minutes D. 10 minutes

Explain using words, numbers, and/or pictures why it is the correct answer.

MSP Review Day 12

1. What is the volume of the rectangular prism?

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

___________________________________________

Washington Algebraic Thinking Foundations 6th Grade

32 Copyright © 2009-2010 National Training Network

MSP Review Day 15

1. Brice and Jamie went to a water park. Brice rode the longest water slide at the park.

It was 175 34

feet long. Jamie rode the next longest slide, which was 167 16

feet long.

How much longer was the slide Brice rode?

A. 8 712

feet

B. 8 25

feet

C. 8 18

feet

D. 7 712

feet

2. A bag contains marbles of five different colors. Students are choosing a marble 50

times, recording the result, and then replacing it. Bly has already chosen a marble 20 times. Based on her first twenty picks, which are listed below, what is the probability that the next marble will be blue?

A. 5% B. 10% C. 25% D. 40%

blue green red red white blue black blue green red green white black blue blue white red green red black

Washington Algebraic Thinking Foundations 6th Grade

33 Copyright © 2009-2010 National Training Network

3. What is 45.68 divided by 1,000? 4. Tyler drove from his hometown in California to his parent’s house in Nevada. He

went 220 miles in four hours before he stopped. Which ratio gives the unit rate for his drive?

A. 55010

B. 2204

C. 1102

D. 551

5. What is the approximate perimeter of the figure drawn below?

A. 42 cm B. 44.28 cm C. 52 cm D. 60.56 cm

10 cm

4 cm 1 cm

13 cm 13 cm

1 cm

Washington Algebraic Thinking Foundations 6th Grade

34 Copyright © 2009-2010 National Training Network

MSP Review Day 16

1. Which of the following number lines shows the star correctly graphed at –8? A. B. C. D. 2. Use the rule to find the missing y-value in the function table.

Rule: y = 3x – 2

A. 42 B. 40 C. 37 D. 34 3. The radius of a circle is 16 cm. What is the diameter? A. 4 cm B. 8 cm C. 16 cm D. 32 cm

x 2 5 6 11 14 y 4 13 16 31 ?

0 –10 10

0 –10 10

0 –10 10

0 –10 10

Washington Algebraic Thinking Foundations 6th Grade

35 Copyright © 2009-2010 National Training Network

4. Margaret was diving in the ocean. She began at the surface of the water and dove

down 12 feet. She then followed a colorful fish up 8 feet. Next, she dove down 4 feet and examined some coral.

This situation can be represented by the following number line.

In the space below, create another model that represents the same situation. Explain your model on the lines given. You may use numbers, symbols, or pictures.

–12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0

Start

End

_____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________

Washington Algebraic Thinking Foundations 6th Grade

36 Copyright © 2009-2010 National Training Network

5. What is the surface area of the pyramid made from the following net?

What is the surface area of the square pyramid? _____________________________

12

cm

12 cm

8 cm

Washington Algebraic Thinking Foundations 6th Grade

37 Copyright © 2009-2010 National Training Network

MSP Review Day 17

1. Players on a softball team figured out the probability of beating their next opponent.

They decided that the probability is 910

. Which of the following does not represent

the probability of the softball team beating their next opponent? A. 9% B. 0.9 C. 9:10

D. 90100

2. Vincent answered 20 out of 30 multiple choice questions correct on a practice test.

What is the experimental probability that he will get the next multiple choice question correct?

A. 41

B. 31

C. 21

D. 23

Washington Algebraic Thinking Foundations 6th Grade

38 Copyright © 2009-2010 National Training Network

3. Which inequality is not true? A. 5.67 < 5.7

B. 59

> 48

C. 17.6 < 17.41

D. 13.9 > 13 45

4. Adrian spent 1122

hours practicing the trombone last week. If 16

of the practice time

was spent playing scales, how much time did he spend playing scales? 5. Ned works at a food processing plant. He packages the finished cans of vegetables to

be shipped. In one hour, he packaged 336 cans into 14 boxes. Which ratio represents how many boxes he will be able to finish in 8 hours?

A. 2,6888

B. 3368

C. 3228

D. 1128

How much time did he spend playing scales? ________________________ hours

Washington Algebraic Thinking Foundations 6th Grade

39 Copyright © 2009-2010 National Training Network

MSP Review Day 18

1. Your teacher has different methods of grading quizzes. You have had 5 quiz grades

of 79%, 92%, 910

, 1520

, and 83%. Write your grades in order from least to greatest.

A. 92%, 910

, 83%, 79%, 1520

B. 1520

, 79%, 83%, 910

, 92%

C. 9 15, , 79%, 83%, 92%10 20

D. 15 979%, , 83%, , 92%20 10

2. Evaluate the expression 2(3n + 5n) for n = 12. A. 48 B. 98 C. 144 D. 192 3. Sean has some coins in a bag. There are 8 quarters, 5 nickels, and 7 dimes. What is

the theoretical probability that Sean will choose a nickel if he grabs one coin without looking?

A. 25% B. 33% C. 40% D. 75%

Washington Algebraic Thinking Foundations 6th Grade

40 Copyright © 2009-2010 National Training Network

4. What is the value of the expression below in simplest form?

88 ÷ 8 ● (52 – 14)

5. Jalisa is painting a design on her bedroom wall. Her design is pictured below.

Approximately how many square inches will she have to paint?

A. 69.98 in.2 B. 91.96 in.2 C. 124.93 in.2 D. 201.86 in.2

3 in.

8 in. 8 in. 3.5 in. 3

.5 in

.

Washington Algebraic Thinking Foundations 6th Grade

41 Copyright © 2009-2010 National Training Network

MSP Review Day 19

1. Katie has some T-shirts in a drawer. There are 7 white T-shirts, 9 black T-shirts, 6

yellow T-shirts, and 3 green T-shirts. If she chooses one without looking, what is the theoretical probability that she will choose a yellow T-shirt?

A. 0.24 B. 0.28 C. 0.36 D. 0.76 2. Simplify the expression below.

40 – 2 + 6 ● 22 3. Tony works at a restaurant. This summer they are having an outside party and are

putting up strings of white lights. Every two strings have a total of 28 lights. Which ratio shows an equivalent ratio?

A. 446

B. 570

C. 6168

D. 10280

Washington Algebraic Thinking Foundations 6th Grade

42 Copyright © 2009-2010 National Training Network

4. Mr. Murray’s backyard is drawn below. If he plans to put a fence around the entire

backyard, how much fence will he need? A. 67 feet B. 86 feet C. 195 feet D. 390 feet 5. If the cone below were cut on the line, what would the cross section look like?

A. a rectangle B. a circle C. a line D. a triangle

18 ft14 ft

25 ft

10 ft

Washington Algebraic Thinking Foundations 6th Grade

43 Copyright © 2009-2010 National Training Network

MSP Review Day 20

1. What is the surface area of the pyramid made by the following net? A. 535 in.2 B. 770 in.2 C. 1,070 in.2 D. 48,000 in.2

2. Jenny has a bag of marbles in her two favorite colors. Sixteen of the marbles are

green, and 24 of the marbles are blue. What is the ratio of green marbles to total number of marbles in simplest form?

A. 25

B. 35

C. 23

D. 32

10 in

.

16 in.

20 in

.

15 in.

Washington Algebraic Thinking Foundations 6th Grade

44 Copyright © 2009-2010 National Training Network

3. The net shown represents which three-dimensional figure? A. cube B. rectangular pyramid C. rectangular prism D. triangular prism 4. What is the surface area of the pyramid made by the net drawn? A. 84 ft2 B. 112 ft2 C. 168 ft2 D. 224 ft2

8 feet

7 feet 8 feet

8 feet

Washington Algebraic Thinking Foundations 6th Grade

45 Copyright © 2009-2010 National Training Network

5. Use the graph below to determine how much money a person will make after

working 7 hours.

Earnings

05

1015202530

1 2 3 4 5 6 7 8

Hours Worked

Pay

(in d

olla

rs)

A. $20 B. $24 C. $25 D. $28 Explain using words, numbers, and/or pictures why it is the correct answer.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_______________________________________

Washington Algebraic Thinking Foundations 6th Grade

46 Copyright © 2009-2010 National Training Network

MSP Review Day 21

1. What is the surface area of the prism shown? 2. Which number is missing in the following equation?

2.76 • 3.59 • 9.28 = ___ • 3.59 • 2.76 A. 9.28 B. 2.76 C. 1 D. 0.6284

What is the surface area? ft2

12 ft

5 ft 30 ft

Washington Algebraic Thinking Foundations 6th Grade

47 Copyright © 2009-2010 National Training Network

3. What is the value of t?

8t = 256 A. t = 32 B. t = 248 C. t = 264 D. t = 2,048 4. Taren is making and frosting sugar cookies. So far, she has frosted 3 blue cookies, 5

green cookies, 2 yellow cookies, 6 white cookies, and 4 red cookies. What is the probability that the next cookie she frosts will be white?

A. 20% B. 30% C. 40% D. 60% 5. Nicholas has 18 coins in his pocket. Some of the coins are dimes, and some are

nickels. He has a total of $1.30. Make and use a chart to find the number of each coin he has in his pocket.

Show your chart and work in the space below.

How many dimes? _________________ How many nickels? ________________

Washington Algebraic Thinking Foundations 6th Grade

48 Copyright © 2009-2010 National Training Network

MSP Review Day 22

1. Tricia wants to buy a new bicycle that costs $300. So far, she has saved 24% of the

cost. How much has she saved? A. $324 B. $276 C. $72 D. $14 2. Molly has 17 more bottles of nail polish than Trina. Trina has 19 bottles of nail

polish. Solve the equation m – 17 = 19 to find the number of bottles of nail polish that Molly has.

3. What is the value of t?

12t = 48

A. t = 576 B. t = 60 C. t = 36 D. t = 4

How many bottles of nail polish does Molly have? _______________________ bottles

Washington Algebraic Thinking Foundations 6th Grade

49 Copyright © 2009-2010 National Training Network

4. How would this block model look from a top view?

A. B. C. D. 5. Joanne’s bank statement reported that during the week she deposited $45 and

withdrew $30. Write both numbers as integers. In the space below, write each number as an integer. Show your work using words,

numbers, and/or pictures.

Write a deposit of $45 as an integer: _______________________ Write a withdrawal of $30 as an integer: _____________________________

Washington Algebraic Thinking Foundations 6th Grade

50 Copyright © 2009-2010 National Training Network

MSP Review Day 23

1. Which point is correctly placed at 114

?

A. point K B. point L C. point M D. point N 2. Marc wants to purchase a new bike that costs $120.00. He currently has $75.00

saved and he earns $15.00 per week for completing household chores. Which of the following equations could he use to calculate the number of weeks (e) he has left until he has saved enough money to cover the cost of the new bike?

A. 15 + 75e = 120 B. 75 – 15e = 120 C. 75 + 15e = 120 D. 120 – 75e = 15 3. What is the quotient of 9.03 and 0.7?

A. 10.29 B. 12.9 C. 102.9 D. 129

N M L 1 2 3 4 5

K

Washington Algebraic Thinking Foundations 6th Grade

51 Copyright © 2009-2010 National Training Network

4. What is the area of the composite figure drawn below to the nearest hundredth?

5. Jason decided to do some landscaping in his backyard. He began by watering the

lawn. The rotating sprinkler that he installed can spray an area with a radius of 7 feet. What is the maximum area, to the nearest hundredth, the sprinkler can cover?

Show your work using words, numbers, and/or pictures.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________ What is the maximum area, to the nearest hundredth, the sprinkler can cover? __________________ ft2

6 meters

50 meters

What is the area, to the nearest hundredth, of the composite figure? _____________________________ m2

Washington Algebraic Thinking Foundations 6th Grade

52 Copyright © 2009-2010 National Training Network

MSP Review Day 24

1. It costs $4.32 to mail a package that weighs 3 pounds. What is the cost per pound? A. $1.32 per pound B. $1.44 per pound C. $4.35 per pound D. $12.96 per pound

2. What is the value of 52 gf− if f = 4 and g = 6?

A. 5 B. 7 C. 26 D. 42 3. What is the approximate area of the circle? A. 56.52 cm2 B. 63.585 cm2 C. 254.34 cm2 D. 1,017.36 cm2

9 cm

Washington Algebraic Thinking Foundations 6th Grade

53 Copyright © 2009-2010 National Training Network

4. Which of the following statements is true?

A. 45

= 45%

B. 20% = 0.02

C. 320

= 0.320

D. 825

= 0.32

5. A circular arena at the dog show has a diameter of 200 feet. How far must a dog

walk to go around the edge of the arena once? Show your work using words, numbers, and/or pictures.

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________ How far must a dog walk to go around the edge of the arena once? __________ ft

Washington Algebraic Thinking Foundations 6th Grade

54 Copyright © 2009-2010 National Training Network

MSP Review Day 25

1. What is the value of the expression 13v – 3v, if v = 6? A. 10 B. 58 C. 60 D. 96 2. One day in February, the high temperature was 12 degrees above zero. The low

temperature on the same day was 7 degrees below zero. Which of the following correctly shows both temperatures as integers?

A. –12, –7 B. –12, 7 C. 12, –7 D. 12, 7 3. Find the product of 9.825 and 3.8. A. 2.58 B. 10.3275 C. 35.985 D. 37.335

Washington Algebraic Thinking Foundations 6th Grade

55 Copyright © 2009-2010 National Training Network

4. Jose biked for 15 miles. Write and solve an equation to find the time he biked (t), if

he averages a mile every 5.2 minutes. A. 15t = 5.2; t = 78 minutes B. 15t = 5.2; t = 34 minutes

C. 5.215t= ; b = 78 minutes

D. 5.215t= ; b = 34 minutes

5. Terry has decided to give 25% of his baseball cards to his younger brother Steve.

Terry currently has 720 baseball cards in his collection. How many cards will Terry give to Steve?

Show your work using words, numbers, and/or pictures.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

___________________________________________

How many cards will Terry give to Steve? ____________________ cards