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Middle School Math Placement Test

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Last updated over 1 year ago
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Question 1
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?

Question 2
2.

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

Question 3
3.

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

Question 4
4.

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

Question 5
5.

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

Question 6
6.

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

Question 7
7.

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

Question 8
8.

What is the perimeter of this rectangle?

Question 9
9.

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

Question 10
10.

To what number is the arrow pointing?

Question 11
11.

4.2 + 3.5 + 0.25 + 4.0

Question 12
12.

460
× 9

Question 13
13.

Question 14
14.

6 × 4 × 10

Question 15
15.

$4.86
+ $2.95

Question 16
16.

Find the missing number
? + 179 = 496

Question 17
17.

Find the missing number
67 − ? = 16

Question 18
18.

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

Question 19
19.

Which digit in 6.125 is in the hundredths place?

Question 20
20.

What is the length of ST?

Question 21
21.

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?

Question 22
22.

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

Question 23
23.

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?

Question 24
24.

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

Question 25
25.

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

Question 26
26.

Use digits to write eight hundred eighteen thousand, eighty.

Question 27
27.

$2.54
5.36
+ 0.75

Question 28
28.

7 × 8 × 10

Question 29
29.

4287
× 5

Question 30
30.

Question 31
31.

41,026
− 39,543

Question 32
32.

Find m.
30m = 6000

Question 33
33.

$10 − ($5.80 + 28¢)

Question 34
34.

Question 35
35.

Question 36
36.

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

What number is half of 25?

Question 37
37.

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

Question 38
38.

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

Question 39
39.

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

Question 40
40.

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

Question 41
41.

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

Question 42
42.

Write the number twenty-one and five hundredths.

Question 43
43.

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

Question 44
44.

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?

Question 45
45.

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

Question 46
46.

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

Question 47
47.

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

Question 48
48.

Question 49
49.

3.7 × 0.25

Question 50
50.

Question 51
51.

Question 52
52.

Question 53
53.

Question 54
54.

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

Question 55
55.

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

Question 56
56.

What is the area of this polygon?

Question 57
57.

Find w.
26.9 + 12 + w = 49.25

Question 58
58.

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

Question 59
59.



Question 60
60.



Question 61
61.

Round 7.49362 to the nearest thousandth.

Question 62
62.

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

Question 63
63.

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

Question 64
64.

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?

Question 65
65.

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?

Question 66
66.

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

Question 67
67.

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?

Question 68
68.

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

Question 69
69.

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

Question 70
70.

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?

Question 71
71.

Find w.
6w = 63

Question 72
72.

Question 73
73.

Question 74
74.

(0.15)(0.05)

Question 75
75.

find a

Question 76
76.

Question 77
77.

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.

Question 78
78.

Evaluate
if x = 2 and y = 0.5

Question 79
79.

Forty percent of what number is 60?

Question 80
80.

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?

Question 81
81.

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?

Question 82
82.

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?

Question 83
83.

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?

Question 84
84.

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

Question 85
85.

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?

Question 86
86.

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

Question 87
87.

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

Question 88
88.

Find x.

Question 89
89.

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

Question 90
90.

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.

Question 91
91.

Write 0.000387 in scientific notation.

Question 92
92.

Question 93
93.

Question 94
94.

9876.5 – 643.99

Question 95
95.

Question 96
96.

Question 97
97.

Reduce to lowest terms:

Question 98
98.

Convert 250.025 to a mixed number.

Question 99
99.

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

Question 100
100.

Evaluate:

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