Middle School Math Placement Test

1

Mae-Ying bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The
tax on the entire purchase was 18¢. What was the total cost of the items?

1

Seventy-five beans were equally divided into five pots. How many beans were in each pot?

1

Robo could run 7 miles in 1 hour. At that rate, how many miles could Robo run in 3 hours?

1

Robo could run 7 miles in 1 hour. At that rate, how many miles could Robo run in 3 hours?

1

Find the sixth number in this counting sequence: 7, 14, 21, . . .

1

Write the number of shaded rectangles shown as a mixed number.

1

Twenty-five percent of this square is shaded.
What percent of the square is not shaded?

1

What is the perimeter of this rectangle?

1

A square has one side that is 7 inches long. What is the area of the square?

1

To what number is the arrow pointing?

1

4.2 + 3.5 + 0.25 + 4.0

1

460
× 9

1

6 × 4 × 10

1

$4.86
+ $2.95

1

Find the missing number
? + 179 = 496

1

Find the missing number
67 − ? = 16

1

Use digits to write the number three hundred forty-three.

1

Which digit in 6.125 is in the hundredths place?

1

What is the length of ST?

1

In 2 hours the 3 boys picked a total of 1347 cherries. If they share the cherries evenly, then
each boy will get how many cherries?

1

After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money did
Salvador have before paying for a ticket?

1

When three new members joined the club, the number of members increased to 28. How
many members were in the club before the new members arrived?

1

Adriana’s age is one third of her dad’s age. If her dad is 36 years old, how old is Adriana?

1

Estimate the sum of 672 and 830 by rounding to the nearest hundred before adding.

1

Use digits to write eight hundred eighteen thousand, eighty.

1

$2.54
5.36
+ 0.75

1

7 × 8 × 10

1

4287
× 5

1

41,026
− 39,543

1

Find m.
30m = 6000

1

$10 − ($5.80 + 28¢)

1

Half of 100 is 50, and half of 50 is 25.

What number is half of 25?

1

A stop sign is the shape of an octagon. An octagon has how many sides?

1

What are the next three terms in this counting sequence?
. . ., 2700, 2800, 2900, , , , . . .

1

This rectangle is half as wide as it is long.
What is the perimeter of the rectangle?

1

The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is the length
of segment AB?

1

Which digit is in the hundred-thousands place in the number 987,654,321?

1

Write the number twenty-one and five hundredths.

1

In an auditorium there are 25 rows with 18 chairs in each row. How many chairs are in the
auditorium?

1

The average pumpkin weighs 6 pounds. The prize-winning pumpkin weighs 324 pounds.
The prize-winning pumpkin weighs as much as how many average pumpkins?

1

What is the total price of a $45.79 item when 7% sales tax is added?

1

How many quarter-pound hamburgers can be made from 100 pounds of ground beef?

1

There were 13 original states. There are now 50 states. What fraction of the states are the
original states?

1

3.7 × 0.25

1

What is the average of 4.2, 2.61, and 3.6?

1

The area of a square is 64 sq. cm. What is the perimeter of the square?

1

What is the area of this polygon?

1

Find w.
26.9 + 12 + w = 49.25

1

If d = rt, and if r = 60 and t = 4, what does d equal?

1

Round 7.49362 to the nearest thousandth.

1

President Franklin D. Roosevelt died in office in 1945 at the age of 63. In what year was he
born?

1

Eric ran 8 laps in 11 minutes 44 seconds. How many seconds did it take Eric to run 8 laps?

1

A one-quart container of oil costs 89¢. A case of 12 one-quart containers costs $8.64.
How much is saved per container by buying the oil by the case?

1

Ricardo ran the 400-meter race 3 times. His fastest time was 54.3 seconds. His slowest
time was 56.1 seconds. If his average time was 55.0 seconds, what was his time for the
third race?

1

The perimeter of a square is one yard. What is the area of the square in square inches?

1

The perimeter of the square equals the perimeter of the
regular pentagon. Each side of the pentagon is 16 cm long.
How long is each side of the square?

1

Find the volume of the triangular prism shown. Dimensions are in millimeters.

1

The sale price of an item on sale for 40% off is $48. What was the regular price?

1

A bag contains 3 red marbles, 4 white marbles, and 5 blue marbles. If one marble is drawn
from the bag, what is the probability that the marble will be blue?

1

Find w.
6w = 63

1

(0.15)(0.05)

1

find a

1

Write a fraction equal to one half with a denominator of 6 and a fraction equal to one third
with a denominator of 6. Then add the fractions.

1

Evaluate
if x = 2 and y = 0.5

1

Forty percent of what number is 60?

1

Only three-tenths of the print area of the newspaper carried news. The rest of the area was
filled with advertisements. What percent of the print area was filled with advertisements?

1

The first flock contained 5283 birds. The second flock contained 5 times as many birds. The
third flock had twice as many birds as the second flock. How many birds were there in all?

1

The whole batch cost $28,000 and contained 140 items. Write the two rates (ratios) implied
by this statement. What would be the price for 200 items?

1

For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?

1

The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, how
many snapdragons were there?

1

The number of red frogs exceeded the number of blue frogs by 80. The number of green
frogs was 20 less than the number of blue frogs. If there were 120 blue fogs, what was the
sum of the reds, the blues, and the greens?

1

Six times a number is 45 greater than the product of the number and -3. Find the number.

1

If 200 is increased by 130 percent, what is the resulting number?

1

Find x.

1

Find the surface area of this right solid. Dimensions are in centimeters.

1

What is the volume in cubic meters of the right
solid whose base is the figure shown on the
left and whose sides are 200 centimeters tall?
Dimensions are in meters. All angles are right angles.

1

Write 0.000387 in scientific notation.

1

9876.5 – 643.99

1

Reduce to lowest terms:

1

Convert 250.025 to a mixed number.

1

Use two unit multipliers to convert 144 square feet to square miles. Round any decimal
answer to two places.

1

Middle School Math Placement Test

Mae-Ying bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. Thetax on the entire purchase was 18¢. What was the total cost of the items?

Seventy-five beans were equally divided into five pots. How many beans were in each pot?

Robo could run 7 miles in 1 hour. At that rate, how many miles could Robo run in 3 hours?

Robo could run 7 miles in 1 hour. At that rate, how many miles could Robo run in 3 hours?

Find the sixth number in this counting sequence: 7, 14, 21, . . .

Write the number of shaded rectangles shown as a mixed number.

Twenty-five percent of this square is shaded.What percent of the square is not shaded?

What is the perimeter of this rectangle?

A square has one side that is 7 inches long. What is the area of the square?

To what number is the arrow pointing?

4.2 + 3.5 + 0.25 + 4.0

460× 9

6 × 4 × 10

$4.86+ $2.95

Find the missing number? + 179 = 496

Find the missing number67 − ? = 16

Use digits to write the number three hundred forty-three.

Which digit in 6.125 is in the hundredths place?

What is the length of ST?

In 2 hours the 3 boys picked a total of 1347 cherries. If they share the cherries evenly, theneach boy will get how many cherries?

After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money didSalvador have before paying for a ticket?

When three new members joined the club, the number of members increased to 28. Howmany members were in the club before the new members arrived?

Adriana’s age is one third of her dad’s age. If her dad is 36 years old, how old is Adriana?

Estimate the sum of 672 and 830 by rounding to the nearest hundred before adding.

Use digits to write eight hundred eighteen thousand, eighty.

$2.54 5.36+ 0.75

7 × 8 × 10

4287× 5

41,026− 39,543

Find m.30m = 6000

$10 − ($5.80 + 28¢)

Half of 100 is 50, and half of 50 is 25.What number is half of 25?

A stop sign is the shape of an octagon. An octagon has how many sides?

What are the next three terms in this counting sequence?. . ., 2700, 2800, 2900, ____, ____, ____, . . .

This rectangle is half as wide as it is long.What is the perimeter of the rectangle?

The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is the lengthof segment AB?

Which digit is in the hundred-thousands place in the number 987,654,321?

Write the number twenty-one and five hundredths.

In an auditorium there are 25 rows with 18 chairs in each row. How many chairs are in theauditorium?

The average pumpkin weighs 6 pounds. The prize-winning pumpkin weighs 324 pounds.The prize-winning pumpkin weighs as much as how many average pumpkins?

What is the total price of a $45.79 item when 7% sales tax is added?

How many quarter-pound hamburgers can be made from 100 pounds of ground beef?

There were 13 original states. There are now 50 states. What fraction of the states are theoriginal states?

3.7 × 0.25

What is the average of 4.2, 2.61, and 3.6?

The area of a square is 64 sq. cm. What is the perimeter of the square?

What is the area of this polygon?

Find w.26.9 + 12 + w = 49.25

If d = rt, and if r = 60 and t = 4, what does d equal?

Round 7.49362 to the nearest thousandth.

President Franklin D. Roosevelt died in office in 1945 at the age of 63. In what year was heborn?

Eric ran 8 laps in 11 minutes 44 seconds. How many seconds did it take Eric to run 8 laps?

A one-quart container of oil costs 89¢. A case of 12 one-quart containers costs $8.64.How much is saved per container by buying the oil by the case?

Ricardo ran the 400-meter race 3 times. His fastest time was 54.3 seconds. His slowesttime was 56.1 seconds. If his average time was 55.0 seconds, what was his time for thethird race?

The perimeter of a square is one yard. What is the area of the square in square inches?

The perimeter of the square equals the perimeter of theregular pentagon. Each side of the pentagon is 16 cm long.How long is each side of the square?

Find the volume of the triangular prism shown. Dimensions are in millimeters.

The sale price of an item on sale for 40% off is $48. What was the regular price?

A bag contains 3 red marbles, 4 white marbles, and 5 blue marbles. If one marble is drawnfrom the bag, what is the probability that the marble will be blue?

Find w.6w = 63

(0.15)(0.05)

find a

Write a fraction equal to one half with a denominator of 6 and a fraction equal to one thirdwith a denominator of 6. Then add the fractions.

Evaluate if x = 2 and y = 0.5

Forty percent of what number is 60?

Only three-tenths of the print area of the newspaper carried news. The rest of the area wasfilled with advertisements. What percent of the print area was filled with advertisements?

The first flock contained 5283 birds. The second flock contained 5 times as many birds. Thethird flock had twice as many birds as the second flock. How many birds were there in all?

The whole batch cost $28,000 and contained 140 items. Write the two rates (ratios) impliedby this statement. What would be the price for 200 items?

For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles perhour and drove for another 3 hours. How far did he go in the 7 hours he traveled?

The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, howmany snapdragons were there?

The number of red frogs exceeded the number of blue frogs by 80. The number of greenfrogs was 20 less than the number of blue frogs. If there were 120 blue fogs, what was thesum of the reds, the blues, and the greens?

Six times a number is 45 greater than the product of the number and -3. Find the number.

If 200 is increased by 130 percent, what is the resulting number?

Find x.

Find the surface area of this right solid. Dimensions are in centimeters.

What is the volume in cubic meters of the rightsolid whose base is the figure shown on theleft and whose sides are 200 centimeters tall?Dimensions are in meters. All angles are right angles.

Write 0.000387 in scientific notation.

9876.5 – 643.99

Mae-Ying bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The
tax on the entire purchase was 18¢. What was the total cost of the items?

Twenty-five percent of this square is shaded.
What percent of the square is not shaded?

460
× 9

$4.86
+ $2.95

Find the missing number
? + 179 = 496

Find the missing number
67 − ? = 16

In 2 hours the 3 boys picked a total of 1347 cherries. If they share the cherries evenly, then
each boy will get how many cherries?

After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money did
Salvador have before paying for a ticket?

When three new members joined the club, the number of members increased to 28. How
many members were in the club before the new members arrived?

$2.54
5.36
+ 0.75

4287
× 5

41,026
− 39,543

Find m.
30m = 6000

Half of 100 is 50, and half of 50 is 25.

What number is half of 25?

What are the next three terms in this counting sequence?
. . ., 2700, 2800, 2900, , , , . . .

This rectangle is half as wide as it is long.
What is the perimeter of the rectangle?

The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is the length
of segment AB?

In an auditorium there are 25 rows with 18 chairs in each row. How many chairs are in the
auditorium?

The average pumpkin weighs 6 pounds. The prize-winning pumpkin weighs 324 pounds.
The prize-winning pumpkin weighs as much as how many average pumpkins?

There were 13 original states. There are now 50 states. What fraction of the states are the
original states?

Find w.
26.9 + 12 + w = 49.25

President Franklin D. Roosevelt died in office in 1945 at the age of 63. In what year was he
born?

A one-quart container of oil costs 89¢. A case of 12 one-quart containers costs $8.64.
How much is saved per container by buying the oil by the case?

Ricardo ran the 400-meter race 3 times. His fastest time was 54.3 seconds. His slowest
time was 56.1 seconds. If his average time was 55.0 seconds, what was his time for the
third race?

The perimeter of the square equals the perimeter of the
regular pentagon. Each side of the pentagon is 16 cm long.
How long is each side of the square?

A bag contains 3 red marbles, 4 white marbles, and 5 blue marbles. If one marble is drawn
from the bag, what is the probability that the marble will be blue?

Find w.
6w = 63

Write a fraction equal to one half with a denominator of 6 and a fraction equal to one third
with a denominator of 6. Then add the fractions.

Evaluate
if x = 2 and y = 0.5

Only three-tenths of the print area of the newspaper carried news. The rest of the area was
filled with advertisements. What percent of the print area was filled with advertisements?

The first flock contained 5283 birds. The second flock contained 5 times as many birds. The
third flock had twice as many birds as the second flock. How many birds were there in all?

The whole batch cost $28,000 and contained 140 items. Write the two rates (ratios) implied
by this statement. What would be the price for 200 items?

For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?

The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, how
many snapdragons were there?

The number of red frogs exceeded the number of blue frogs by 80. The number of green
frogs was 20 less than the number of blue frogs. If there were 120 blue fogs, what was the
sum of the reds, the blues, and the greens?

What is the volume in cubic meters of the right
solid whose base is the figure shown on the
left and whose sides are 200 centimeters tall?
Dimensions are in meters. All angles are right angles.

Use two unit multipliers to convert 144 square feet to square miles. Round any decimal
answer to two places.

Evaluate:

p if p = 16, m = 4, and x = 3

Mae-Ying bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The
tax on the entire purchase was 18¢. What was the total cost of the items?

Twenty-five percent of this square is shaded.
What percent of the square is not shaded?

460
× 9

$4.86
+ $2.95

Find the missing number
? + 179 = 496

Find the missing number
67 − ? = 16

In 2 hours the 3 boys picked a total of 1347 cherries. If they share the cherries evenly, then
each boy will get how many cherries?

After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money did
Salvador have before paying for a ticket?

When three new members joined the club, the number of members increased to 28. How
many members were in the club before the new members arrived?

$2.54
5.36
+ 0.75

4287
× 5

41,026
− 39,543

Find m.
30m = 6000

Half of 100 is 50, and half of 50 is 25.

What number is half of 25?

What are the next three terms in this counting sequence?
. . ., 2700, 2800, 2900, , , , . . .

This rectangle is half as wide as it is long.
What is the perimeter of the rectangle?

The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is the length
of segment AB?

In an auditorium there are 25 rows with 18 chairs in each row. How many chairs are in the
auditorium?

The average pumpkin weighs 6 pounds. The prize-winning pumpkin weighs 324 pounds.
The prize-winning pumpkin weighs as much as how many average pumpkins?

There were 13 original states. There are now 50 states. What fraction of the states are the
original states?