PSAT 8/9 Type B Questions Original

How many dogs are necessary to make a cat-to-dog ratio of 3:2 in an area with 1,425 cats?

A family has three children. What is the probability that the family has three boys?

If Paul spends 2 hours working out in the morning and 2 hours at night reading. Since there are 24 hours in a day, what portion of every day does Paul spend reading and exercising?

A student takes several 10-point math quizzes during the year.

5, 7, 8, 6, 5, 6, 7, 8, 9, 7, 8, 10, 10, 9, 8, 7, 6, 8, 7, 9, 8, 10, 10, 9, 5, 7, 8, 9, 10, 7, 8, 9, 10

Find the mode score from the quizzes.

Solve \(x^{3}=64\).

Multiply.

\(\frac{2}{3} \times \frac{4}{15}\)

A toy bin contains 12 yellow balls, 3 orange balls, and 5 white balls. What is the probability of selecting an orange or a white ball?

Justin works 34 hours a week at one job and 22 hours a week at another job. Since there are 24 hours in a day, how much of a 7-day week is Justin spending at work?

Multiply

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

The bar chart shows the number of boys and girls who participate in sports. What is the greatest difference between numbers of participants in any year?

A half circle has an area of 45 square centimeters. Find the diameter to the nearest tenth of a centimeter. Use 3.14 for π.

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?

Solve for the value of y when x = 3.

\(y = (x^2 + 4) – 2\)

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

A circular dinner plate has a diameter of 13 inches. A ring is placed along the edge of the plate. Find the circumference of the ring in inches. Use 3.14 for π.

How many men does a company employ if it has 420 employees and 35% are women?

Find the mean from the dot plot.

The area of a circular drum top is 175 square inches. Find the diameter to the nearest tenth of an inch. Use 3.14 for \( \pi \).

A cube has a side length of 10 inches. What is the surface area in square inches?

Find the radius in meters of a cone with a volume of \( \frac{512}{3} \pi \) cubic meters and a height of 8 meters.

A cubic storage bin has a volume of 216 cubic feet. What is the side length in feet?

Solve the equation for the unknown.

\(\frac{1}{3} \left( 3x+2 \right) +3=2x+3 \)

What is the product of 3:2 and 5:6?

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