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
.
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
4
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
6
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
G
H
I
10
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
11
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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12
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
14
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
16
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
17
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
19
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
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20
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
21
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
23
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
24
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
25
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
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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
27
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
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H
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28 Benchmark: MA.7.A.1.5
Which of the following graphs represents a direct
variation between x and y?
A
B
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D
29
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
30