PSAT 8/9 Math (Calculator) Exam 1

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?

A soccer team has scored 1, 1, 2, 2, 3, 3, 4, 4, 5 goals in its first 9 games. During the next game, the team scores 8 goals. Compare the mean and the standard deviation before and after the next game.

A college student notices that he has a loan for $1,500 with one lender, but he owes $1,725 after one month because of the interest rate he pays. What is the interest rate on that loan?

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

Samantha ran 8 kilometers in 50 minutes. If she ran that same pace, approximately how long will it take her to run 10 kilometers?

Two siblings each took a standardized math test for their grade levels. One sibling took the test with 75 questions and the older sibling took the test with 140 questions. If the younger sibling got 60 questions right and both siblings received the same overall score, how many questions did the older sibling answer correctly?

One athlete had a salary of about 3 x 10⁷ dollars per year and another athlete had a salary of about 2 x 10⁶ dollars per year. How many times larger is the salary of the first athlete?

Find the area in square centimeters of a circle with a diameter of 16 centimeters. Use 3.14 for π.

The dot plot shows the number of hours a group of students volunteered. How are the mean and median affected when removing the outliers?

A realtor earns ¹⁄₁₅ the cost of a house in commission from the sale. If a realtor successfully sells a house for $325,000, what is the value of the commission earned, rounded to the nearest whole dollar?

If a waitress receives a $7.25 tip on top of a $40.28 bill, what percent did the customers tip her?

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 cell phone company charges $1.85 a minute for international phone calls. If a customer calls a foreign country and talks on the phone for 32 minutes, how much does the phone call cost?

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?

A coffee service provides catering to a large corporate event. The service has an agreement to charge the hosting company only 95 cents per coffee given at the event. If they serve 261 cups of coffee, how much will the coffee bill be to the hosts?

A mechanic purchases 18 gallons of oil to complete a number of oil changes. If he needs ³⁄₁₀ of a gallon of oil for each car, how many oil changes can he do before he runs out?

Alan makes a $518 car payment every month for 6 years. If he never made a down payment, how much money did he pay for the car in total?

Celeste buys herself a fancy sports car. She put $3,200 towards it as a down payment, and pays $712 a month for 5.5 years. How much does the sports car cost?

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?

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?

A woman wants to go on a 3-mile run with her large dog around the neighborhood. If going around the neighborhood once is equal to running ⅗ of a mile, how many times do they need to go around the neighborhood?

A half circle has an area of 45 square centimeters. Find the diameter to the nearest tenth of a centimeter. Use 3.14 for \( \pi \). (Type the answer as \( \pi \)  units.)

Solve the equation for the unknown.

\( 3x-8+5+2x=4x-x+6 \)

Find the height in centimeters of a cylinder with a volume of \( 800 \pi \) cubic centimeters and a radius of 10 centimeters.

A right triangular prism has a triangular base with legs of 5 centimeters and 12 centimeters and a hypotenuse of 13 centimeters. What is the surface area in square centimeters if the height is 2 centimeters?