Benchmark Test : Grade 6 Math

Benchmark Test : Grade 6 Math

©1999-2011 Progress Testing Page 1

Date Name

Class/Grade

Benchmark: MA.6.A.1.3

Becky needs to put 4 cups of flour into

her bread maker to make one loaf of

bread. She is using a measuring cup that

holds 13

cup of flour. How many 13

cups of flour will she need to make a loaf

of bread?

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1 Benchmark: MA.6.A.1.1

The model below represents 0.6.

Which model represents the value of 0.6 0.2?

F

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What number is the arrow pointing to on the

number line?

A 1.25

B 1.4

C 1.5

D 1 12

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Travis needs to mail 4 letters and 10

postcards. A letter needs a 37-cent stamp

and a postcard needs a 25-cent stamp.

How much money will Travis spend for

postage?

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Tisha can type 55 words per minute. At

this rate, how many minutes will it take

Tisha to type a 5-page report with 275

words per page?

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Benchmark: MA.6.G.4.2

The Westside swimming pool is divided into four different sections as shown below.

What is the perimeter of the entire pool?

F 200 feet

G 220 feet

H 260 feet

I 280 feet

6




Red grapes cost $2.09 per pound at the fruit

stand. About how much will 2.5 pounds of red

grapes cost?

A $2.50

B $4.00

C $5.00

D $6.50

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During a thunderstorm, 4 inches of rain

fell in 2 12

hours. What was the rate of

rainfall in inches per hour?

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Stanley won x raffle tickets at the school

carnival. Regina won y raffle tickets. Daphne

won 12

as many raffle tickets as Stanley. Keenan

won 3 times as many raffle tickets as Regina.

Which expression represents the total number of

raffle tickets Stanley, Regina, Daphne, and

Keenan have all together?

A x y 12

x 3y

B 3y y x 12

x

C x 12

x y 3y

D 3y y x 12

x

9


Tabitha runs for fun. Last week she ran 2.9 miles

through her neighborhood 2 times, and ran the

3.48-mile cross country course at her school 4

times. About how many miles did Tabitha run

last week?

F 24 miles

G 20 miles

H 17 miles

I 13 miles

10



Benchmark: MA.6.S.6.1

Dianne drove across the United States from

Florida to California. She drove 388 miles the

first day, 598 miles the second day, 781 miles the

third day, and 789 the fourth day. What was her

mean number of miles per day?

A 549

B 639

C 649

D 739

11


The chart below shows the number of sit-ups and

push-ups for five students.

What is the difference between the mean number

of sit-ups and the mean number of push-ups?

F 10.2

G 11

H 12.2

I 16

12


Which of the following equations represents the

relationship between x and y in the table?

A y 5 x

B y x 5

C y 10 x

D y x 20

13


Ken planted 8 flowers and 4 shrubs in his

mother's garden. He ran out of fertilizer before he

planted 2 of the flowers and 1 of the shrubs, so

he planted them without fertilizer. What

percentage of plants were planted without

fertilizer?

F 12.5%

G 25%

H 50%

I 75%

14




In the diagram below, DEF is an

equilateral triangle with sides 10

centimeters long, ABC is congruent to

DEF, and CDN is an equilateral

triangle with sides equal to 5 centimeters.

What is the perimeter in centimeters of

the figure outlined by ABNEF?

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The results of a hot dog eating contest are shown in the table below.

What was the median number of hot dogs eaten during the contest?

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What is the volume of a box that measures 13

inches by 6 inches by 6 inches?

A 25 cubic inches

B 36 cubic inches

C 78 cubic inches

D 468 cubic inches


Nasreen's father gave her $45.00 to spend at the

mall. Her mother gave her m dollars to spend at

the mall. Nasreen spent twice as much money as

what her mother gave her. Which expression

represents the number of dollars Nasreen has

left?

F $45.00 2m m

G $45.00 m 2m

H 3m $45.00

I 2($45.00 m) m

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Which of the following numbers is less than

3170

?

A3370

B1635

C3168

D37

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David made $12 mowing lawns last week and

$18 the week before that. How much will he

need to make this week to reach a mean of at

least $13 per week for the three weeks?

F $9

G $12

H $15

I $18

20


There are 4 girls for every boy in

Andrew's school. There are 164 girls in

his school. How many total students are

in Andrew's school?

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Athena ordered a pizza. When she finished

eating, 34

of the pizza remained uneaten. Her

brother then ate 56

of the remaining pizza.

Which expression can be used to find the fraction

of the original whole pizza that Athena's brother

ate?

F56

34

G56

34

H56

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I56

34

22




There are 9 students on the varsity academic

team and 15 students on the junior varsity

academic team. What is the ratio of students on

the varsity team to students on the junior varsity

team?

A59

B35

C53

D95

23




The community center is planning to build a new pool as shown below. The circular side of the pool

is exactly one half of a circle with a diameter of 50 feet.

What is the area of the pool rounded to the nearest square foot?

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Kyle set a function machine to subtract 2 and

divide by 5. He showed the following chart to

Jared.

How can Jared find the missing input number?

A divide 36 by 5 and add 2

B multiply 36 by 5 and subtract 2

C add 2 to 36 and divide by 5

D multiply 36 by 5 and add 2

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The soccer club had a party in a private room at a

restaurant. The restaurant charged $25 for the

private room, and $9 per person. The cost (C) for

p people to attend the party is modeled by the

equation below.

C $25 $9p

How much did it cost if 18 people attended the

party?

F $162

G $187

H $459

I $594

26


Kevin weighed 200 pounds when he started his

diet and lost 26 pounds. What percent of his

original weight did Kevin lose?

A 8%

B 12%

C 13%

D 16%

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Josiah did a survey of his 24 classmates to find

out how many have at least one pet at home.

Twice as many of his classmates did not have

pets as those that did have pets. The equation

below can be used to find the number of Josiah's

classmates who have pets at home.

p (2p) 24

How many of Josiah's classmates have at least

one pet at home?

F 4

G 8

H 12

I 16

28




Emma throws javelin for her school's track team.

At one meet she threw the javelin twice. On her

first attempt, she threw the javelin 28 meters. On

her second attempt, she threw the javelin 32

meters. What is the ratio between the length of

her first throw and the length of her second

throw?

A 7 to 4

B 1 to 4

C 1 to 2

D 7 to 8

29


What is the area of the circle below?

F 5.64 square meters

G 7.85 square meters

H 15.7 square meters

I 19.625 square meters

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What number is the outlier for the given data?

307, 285, 146, 290, 316, 282, 300, 320

A 320

B 307

C 282

D 146

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Which table represents a situation where y is 21

less than x?

F

G

H

I

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Which of these expressions is equivalent to

7(x 3)?

A 7x 21

B 7x 3

C 21x

D 7x 10

33




What is the area of the circle below?

F 18.84 square feet

G 37.68 square feet

H 113.04 square feet

I 452.16 square feet

34


On a Saturday night at a small movie theater,

20% of the moviegoers watched an animated

movie, 3

10 watched a comedy,

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watched a

drama, and 10% watched a suspense film. Of

these four movies, which had the most viewers?

A animated

B drama

C comedy

D suspense

35


What is the area of the triangle shown below?

F 1,440 square meters

G 1,600 square meters

H 2,280 square meters

I 2,880 square meters

36


Gretchen made 189 cookies in 4.5 hours.

What was her rate in cookies per hour?

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What number is the outlier for the given data?

95, 85, 95, 105, 85, 35, 101, 95

F 35

G 95

H 101

I 105

38


The floor plan below shows the Green

family's basement.

How many square feet of carpet are

needed to cover the floor?

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39


The sum of three consecutive whole numbers is

138. Which equation would you use to find n, the

first of the three consecutive whole numbers?

F n (n 1) (n 2) 138

G 3n 138

H n (n 1) (n 2) 138

I n3 138

40




What is the area of the parallelogram shown below?

A 2.4 square inches

B 3.6 square inches

C 4.8 square inches

D 6 square inches

41


Which is equivalent to the expression below?

9(x 2)

F x 11

G 9x 18

H x 18

I 9x 2


While printing material from the Internet, Greg

used 10 pages of paper from a package of 500

sheets of paper. What percent of the paper did he

use?

A 0.5%

B 1%

C 1.5%

D 2%

43




Samantha used the school computer 20 hours last

month. Her brother Jacob used the school

computer for 60 hours. What is the ratio of the

hours Samantha used the computer to the hours

Jacob used the computer?

F 1 to 3

G 3 to 2

H 3 to 1

I 1 to 4

44


Which of the following expressions is equivalent

to 7x 9y 6 3y 4?

A 11xy

B 7x 6y 2

C 7x 4y

D 7x 4

45


The cost of a go-cart ride at the fair is $2 for the

first minute and 50 cents for each additional

minute. Which of the following expressions can

be used to find the cost in dollars of a ride that

lasts m minutes?

F 2 0.50(m 1)

G 2 0.50m

H (2 0.50)m

I 2m 0.50

46


Which of the following numbers is between 1

31

and 1

28?

A1

32

B1

23

C1

27

D1

30

47


What is the area of this circle?

F 43.96 square inches

G 87.92 square inches

H 153.86 square inches

I 615.44 square inches

48




The chart below shows the number of sit-ups and push-ups done by 5 students.

What was the median number of push-ups by these students?

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Jessica needs stamps for her postcards.

Each stamp costs $0.23. How much will

8 stamps cost?

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50


Connor has collected 29 of the 50 state flags.

What percentage of the state flags has Connor

collected?

A 14.5%

B 29%

C 58%

D 129%

51


The range of bike prices at the

Gainesville Bike Shop is $1,200. If the

lowest bike price is $300, what is the

highest price, in dollars?

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Which is equivalent to the expression below?

8(x 4)

A x 32

B 8x 4

C x 4

D 8x 32

53




The model below represents 0.4.

Which model represents the value of 0.4 1.25?

F

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54


Look at the table below.

What is the value of y when x 4?

A 17

B 19

C 22

D 24

55


The model below represents 9

12.

Which model represents the value of 9

12

14

?

F

G

H

I

56


What is the volume of a cube whose edges are 6

centimeters long?

A 18 cubic centimeters

B 36 cubic centimeters

C 108 cubic centimeters

D 216 cubic centimeters

57


The ferris wheel ride at the carnival has 15 cars.

Each car holds 2 people. Let n represent the

number of people on the ride at any one time.

Which of these expressions best describes n?

F n 15

G n 30

H n 15

I n 30

58




A shipment of textbooks arrived at Central

Middle School. The textbooks were in boxes

weighing 26.5 pounds each. They were delivered

to 4 different classrooms. Each classroom

received 18 boxes. How many pounds were

brought to each classroom?

A 44.5 pounds

B 72 pounds

C 106 pounds

D 477 pounds

59


Daniella has a summer job that pays $7.00 per

hour. She works 32 hours a week on average.

Daniella is willing to spend 30 percent of her

summer earnings on a new computer. Which of

the following is the best estimate of the number

of weeks Daniella will have to work to afford a

$500 computer?

F 6

G 8

H 10

I 12

60

Documents

Benchmark Test : Grade 6 Math