HSPT Practice Exam 1 Mathematics

Identify the diameter of the circle.

Divide.

\(\frac{8}{9}\div \frac{5}{7}\)

The wait times in minutes for the last 15 customers at a restaurant are as follows:

20, 17, 18, 15, 19, 45, 22, 18, 25, 28, 16, 19, 23, 20, 25

What is the effect of removing the outlier on the mean and median?

A photo center develops prints for $0.45 a photo. If their operations cost $3,100 a month in addition to 10 cents per photo, how many photos must they develop to see a $400 profit?

Which statement about multiplication is true?

A rug is shaped in a half circle. The curved edge of the rug has a circumference of 74 inches. Find the area of the rug to the nearest tenth of a square inch. Use 3.14 for π.

Find the circumference in centimeters of a circle with a radius of 11 centimeters. Use 3.14 for π.

A college graduate takes their first employment check of $2,500 and puts it into a retirement fund. If the 4.7% interest rate is always based upon that initial deposit amount, how much money will they have in the account after 20 years?

Three bands on a tour have documented their ticket sales.

Band 1: Mean: 13,500, Standard Deviation: 1,000

Band 2: Mean: 14,250, Standard Deviation: 500

Band 3: Mean 12,500, Standard Deviation: 1,500<?p>

Which statement best describes the mean and standard deviation?

If an employee earns a normal salary paycheck of $1,800 every payday, but got $2,100 on the most recent check, what portion of her usual salary did she receive from overtime?

Write 1.5 as a percent.

Write 290% as a fraction.

Change 7 ¹³⁄₂₀ to a decimal. Simplify completely.

Solve the equation for the unknown.

\(\frac{x}{2}+5=8\)

Solve for the value of x.

2:5 :: 130:x

Solve the equation for c.

\( 2a \left( b+c \right) =c \)

The number 32 is 8% of what value?

Which number is not a factor of 1,155?

A young boy gets his aunt to pledge $4.25 a mile for every mile he walks at a charity event. If he completes 22 miles, how much money will he have raised from his aunt?

The dot plot shows the results of rolling a dice for a game. Which statement is true for the dot plot?

If a number has 3 and 5 as factors, which statement best describes that number?

Martha leaves her house and drives to work at an average speed of 30 miles per hour. If her work is located 10 miles away, how long will it take her to arrive?

The last 8 transactions at a shoe store in dollars are 5, 39, 49, 50, 52, 35, 44, 100. What is the effect of removing the outliers on the mean and median?

The double line chart shows the number of points scored and points given up by a basketball team over the first 10 games. Which statement is true?

A mixture for a cake has various parts. Select the correct circle graph for the data.

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Identify the variable from a study on cereal that is quantitative.

The average person that weighs 150 pounds has approximately 4.5 liters of blood in their body. Based on that same scale, supposedly how many liters of blood would a 250-pound person have?

A basketball has a diameter of 10 inches. What is the volume in cubic inches inside the ball? Use 3.14 for \( \pi \).

The volume of a hemi-sphere is \( \frac{16}{3} \pi \) cubic feet. What is the diameter in feet?

A jar of salsa has a diameter of 12 centimeters and a height of 10 centimeters. There are 4 centimeters of salsa left in the jar. How much salsa was used if the jar was originally filled to the top? State the answer in cubic centimeters in terms of \( \pi \) .

Multiply

\(2 \times \frac{3}{4}\)

Divide.

\(1\frac{6}{7} \div \frac{3}{14}\)

Divide

\(\frac{3}{14}\div 3\)

\(x^3 · x^3 =\)

A customer receives a cell phone charge for an international phone call that cost $49. The customer doesn’t remember how long the call was but he sees that the service charged him $2.45 per minute. Based upon his notice, how long was the phone call?

\(\sqrt{25} \times \sqrt{16} \) =

Solve for \(x\) when \((4 – 2)x = 64 \div 4\)

The land area of Colorado about 1 x 10⁵ square miles, and the land area of Ohio is about 4 x 10⁴ square miles. How many times larger is the land area of Colorado?

Solve \(x^3=-8\).

Which percent is closest to the ratio 7:3?

If a company’s revenue changes from $123 million to $118 million in a month, how quickly is it increasing in a year?

The number 36 is what percent of 16?

Given the coordinates for a rectangle (-4,-1),(-9,-1),(-9,-8)(-4,-8), find the length of each side of the rectangle.

A box in the shape of a right rectangular prism has dimensions of 6 centimeters by 7 centimeters by 8 centimeters. What is the volume in cubic centimeters?

A sign stating “Do Not Enter” is in the shape of a square with side lengths of 75 centimeters. What is the area in square centimeters?

Sarah got a ²¹⁄₂₅ back on her college exam. Approximately what percentage did she earn?

If a circle has a radius of 5 inches, the area (in inches) of the circle will be

Solve the equation by the square root method.

\(x^2+10=110\)

The level of a river during a flood was 39.45 feet. After a week, the water level declined to 18.97 feet. What was the amount of decrease in feet?

An even roll of a number cube results in +2 points, and an odd roll of a number cube is –3 points. If there are 14 even numbers and 11 odd numbers, then how many points are scored?

In a state, the highest elevation is 1,450 feet and the lowest elevation is –80 feet. What is the difference in the elevations in feet?

Convert 1,000 fluid ounces to gallons.

Use the formula: number of ounces x 128.

Convert 6 meters to feet.

Convert 0.5 kiloliter to milliliters.

A house has an attic in the shape of a square pyramid. The height of the attic is 6 feet, and perimeter of the base of the room is 200 feet. What is the volume in cubic feet of air in the empty attic?

A builder has 8 boxes of screws in his storage. Each box contains 400 screws. If he needs 640 screws to complete a project, what portion of his screws will he need to use?

A family spends $40 on school supplies for one child, $70 on supplies for another child, and $55 each for a set of twin children. What is the average cost of back to school supplies for each child?

There are 12 boys’ and 14 girls’ names in a hat. What is the probability of selecting a boy’s name twice in a row without replacement?

Which option results in the greatest gain on an investment?

Evaluate the expression when m = 5 and n = –3.

-m(m + n)

A gymnastics team has the following scores for an event:

12.3, 12.7, 14.1, 14.5, 13.8, 13.6, 14.2, 15.2, 14.8, 13.9, 15.4, 14.3

Find the mean score for the team to the nearest hundredth.

Stacy drives an average of 60 mph for 30 minutes to get from her home to her brother’s house. If her daughter takes the same route and it takes her 40 minutes to arrive, how fast on average was Stacy’s daughter driving?

A high school is using one of their training loops for a cross-country meet. The loop is equivalent to ⅚ of a mile. If the participants need to run the loop 4 times, how long is the race?

Alex bought a box of 500 nails to use for building a treehouse. If Alex uses ⅖ of the nails for the walls and ¼ of the nails on the floor, how many nails has he used?