benchmark test : grade 7...

Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 1

Date Name

Class/Grade

Benchmark: MA.7.A.1.4

A scientist plotted values on the graph below to show how the downward velocity of a golf ball dropped

straight down out of an airplane increases as the time after the drop increases. The slope of the dashed line

segment joining these points is 91

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What does this slope of the dashed line segment represent?

A For every second after the drop, the downward velocity increases by 4.5 meters per second.

B For every second after the drop, the downward velocity increases by 9 meters per second.

C For every 2 seconds after the drop, the downward velocity increases by 31 meters per second.

D For every 9 seconds after the drop, the downward velocity increases by 1 meter per second.

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 2

Benchmark: MA.7.A.1.2

Anne sang a solo in 3 of the school choir's songs

during their fall concert. If Anne sang a solo in

18.75% of the songs performed by the school

choir at the fall concert, how many total songs

did the school choir perform?

F 11

G 16

H 20

I 56

2 Benchmark: MA.7.A.1.3

Figure IJK ~ Figure TUV

Which of the following completes this

proportion?

A UV

B IJ

C TU

D JK

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Benchmark: MA.7.A.1.3

The triangles ABC and PQR are similar. What is the length of side PR?

F 5

G 10

H 15

I 25

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 3

Benchmark: MA.7.A.1.3

The two shapes below are similar.

What is the length of ST?

A 3

B 4

C 5

D 6

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Benchmark: MA.7.A.1.3

Triangle IHJ is similar to triangle RST.

What is the length of side RT?

F 4.5 mm

G 6 mm

H 7.5 mm

I 8 mm

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Benchmark: MA.7.A.1.2

All 228 eighth graders were asked to

attend a school clean-up day last spring.

Thirteen percent of the eighth graders

were out of town. Twelve percent of the

eighth-grade students were sick. How

many of the eighth-grade students

attended the school clean-up day?

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Benchmark: MA.7.A.1.6

Mr. Simons can walk 15 blocks in 90

minutes. At this rate, how many blocks

can he walk in 192 minutes?

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 4

Benchmark: MA.7.A.1.1

Mike mixes paint at a hardware store. A certain

shade of orange paint is made by mixing white,

red, and yellow paint in a ratio of 4 to 3 to 2. If

Mike wants to make 3 gallons of paint that is this

shade of orange, how many gallons of red paint

will he need?

A13

B23

C 1

D 1 13

9 Benchmark: MA.7.A.1.3

The rectangle shown below is 42 meters long and

36 meters wide.

Which of the following rectangles is similar to

the rectangle above? (None of the drawings are

to scale.)

F

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H

I

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 5

Benchmark: MA.7.A.1.1

The ratio of Kirk's weight to his father's weight is

1 to 4. If Kirk's father weighs 168 pounds, how

many pounds does Kirk weigh?

A 38

B 42

C 47

D 52

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 6

Benchmark: MA.7.A.1.4

Pierre is buying gourmet chocolate bars for $1.75 each. Which graph correctly shows the cost per chocolate

bar?

F

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H

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 7

Benchmark: MA.7.A.1.1

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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Benchmark: MA.7.A.1.6

Aaron is putting together a model plane. The

model is 1

81 the size of the actual plane. If the

model is 9 inches long, about how long is the

actual plane?

F 40 feet

G 60 feet

H 80 feet

I 100 feet

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Benchmark: MA.7.A.1.1

The Keller family drinks 3 gallons of tea

every 9 days. At this rate, how many

gallons of tea will they drink during their

75-day summer vacation?

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Benchmark: MA.7.A.1.2

K & P Toy Store is having a storewide sale.

Remote control cars are on sale for 70% of their

regular price, and sports equipment is 25% off.

Brandon bought a remote control car that

normally costs $72 and a football that normally

costs $18. If there is a 5.5% sales tax applied to

the sale prices of what Brandon bought, how

much did Brandon pay for the remote control car

and football?

F $37.03

G $57.92

H $62.84

I $67.41

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 8

Benchmark: MA.7.A.1.2

Michelle bought a lawnmower that regularly

costs $1,254.99. She used a coupon for a 7.5%

discount on her purchase. If 9% sales tax is

applied to the discounted price, how much did

Michelle pay for the lawnmower?

A $1,197.92

B $1,265.34

C $1,284.13

D $1,340.71

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Benchmark: MA.7.A.1.2

A bakery donates 20% of its rolls to the

Dinners on Wheels program. If the

bakery makes 1,845 rolls one morning,

how many rolls will it donate to the

Dinners on Wheels program that day?

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Benchmark: MA.7.A.1.5

Which of the following tables does NOT

represent a direct variation between x and y?

A

B

C

D

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 9

Benchmark: MA.7.A.1.5

Which of the following graphs does NOT

represent a direct variation between x and y?

F

G

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 10

Benchmark: MA.7.A.1.4

Which graph correctly shows the slope 32

?

A

B

C

D

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 11

Benchmark: MA.7.A.1.6

A map has a scale of 1 inch 20 miles.

If two cities are 1.75 inches apart on the

map, how many miles are they apart?

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 12

Benchmark: MA.7.A.1.6

Cameron and his family are planning to take a ferry from Cape Coral to Key West. Cameron measured the

distance between the two cities on a map. The distance was about 1 78

inches.

Based on the scale of the map, what is the approximate distance in miles between Cape Coral and Key West?

A 50 miles

B 100 miles

C 150 miles

D 200 miles

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Benchmark: MA.7.A.1.6

On a trip to Washington D.C., Jose bought a

model of the Washington Monument. His model

is 8 inches tall. If the scale of the model is 1 inch

to 70 feet, what is the actual height of the

Washington Monument?

F 70 feet

G 560 feet

H 700 feet

I 1,200 feet

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 13

Benchmark: MA.7.A.1.4

Fernanda sells watermelons at her produce stand. The graph below shows how much Fernanda makes selling

her watermelons.

Which of the following shows the rate at which Fernanda earns money selling her watermelons?

A $3 for every 10 watermelons sold

B $10 for every 3 watermelons sold

C $20 for every 5 watermelons sold

D $30 for every 10 watermelons sold

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 14

Benchmark: MA.7.A.1.5

Which of the following graphs represents an

inverse variation between x and y?

F

G

H

I

26 Benchmark: MA.7.A.1.1

Jan is baking cookies. The recipe calls for 1 14

cups of sugar for 2 dozen cookies. Jan wants to

make 6 dozen cookies. How many cups of sugar

does she need?

A 1 1

12 cups

B 1 34

cups

C 2 12

cups

D 3 34

cups

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 15

Benchmark: MA.7.A.1.5

Which of the following graphs represents a direct

variation between x and y?

F

G

H

I

28 Benchmark: MA.7.A.1.5

Which of the following graphs represents a direct

variation between x and y?

A

B

C

D

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Benchmark Test : Grade 7 Math

©1999-2011 Progress Testing Page 16

Benchmark: MA.7.A.1.4

Jacoby sells orange juice at his juice stand. The graph below shows how much Jacoby makes selling his

orange juice.

Which of the following shows the rate at which Jacoby earns money selling his orange juice?

F $1 for every gallon sold

G $1 for every 4 gallons sold

H $4 for every gallon sold

I $15 for every 4 gallons sold

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