SAT Math: Additional Topics in Math

What is the measure of each angle in a regular hexagon?

• 60 degrees

• 90 degrees

• 120 degrees

• 135 degrees

A cyclist measures the wheels on his bike to have a radius of 11 inches. During a short ride, he counts 40 revolutions of the wheels. Approximately how many feet did he travel? (Round your answer to the nearest foot.)

• 36 feet

• 115 feet

• 230 feet

• 440 feet

In triangle ABC, angle A = 30 degrees, and angle B = 60 degrees. If AB = 10, what is the length of AC?

• 5

• 5√2

• 5√3

• 20

In triangle ABC, angle A = 30 degrees and angle B = 60 degrees. If AB = 10, what is the length of BC?

• 5

• 5√2

• 5√3

• 20

A student cuts along the diagonal of an index card that is 6 inches long and 4 inches wide. What is the area of each resulting triangle?

• 5 square inches

• 8 square inches

• 12 square inches

• 18 square inches

An Uber driver picks up a passenger and drives 7 miles east and then 24 miles north to the drop-off location. What is the shortest distance between the pick-up spot and the drop-off location?

• 24 miles

• 25 miles

• 30 miles

• 31 miles

Triangle QRS is an isosceles triangle, and angle RSQ is 90 degrees. If RQ is 15√2 units long, what is the perimeter of the triangle?

• 30 units

• 30 + 15√2 units

• 45 units

• 45√2 units

A soda can has a height of 12 centimeters and a diameter of 2 centimeters. If a full can of soda is spilled, leaving only 2/3 of the original amount, how much soda is left in the can? (Round your answer to the nearest cubic centimeter.)

• 25 cubic centimeters

• 36 cubic centimeters

• 50 cubic centimeters

• 150 cubic centimeters

A regular octagon is carved into 8 equal triangles. What are the angle measures of each resulting triangle?

• 45° - 45° - 90°

• 60° - 60° - 60°

• 90° - 135° - 135°

• 45° - 67.5° - 67.5°

In sumo wrestling, the diameter of the wrestling ring is 15 feet. What is its area? (Round your answer to the nearest tenth of a foot.)

• 47.1 square feet

• 94.2 square feet

• 176.7 square feet

• 706.8 square feet