Geometry ACT Review - C03

A science class has 8 juniors and 4 seniors. The teacher will randomly select 2 students, one at a time to represent the class in a committee at the school. Given that the first student selected is a junior, what is the probability that the second student selected will be a senior?

In the standard (x, y) coordinate plane, what is the slope of the line through (-6, 4) and (1, 3)?

• 1/5

One morning at a coffee shop, each customer ordered either decaf or regular coffee, and each ordered it either with milk or without milk. The number of customers who ordered each type of coffee with or without milk is listed in the table. A customer will be randomly selected from all 36 customers for a prize. What is the probability that the selected customer will have ordered a regular coffee without milk?

• (0, 27)

• (3, 24)

• (3, 27)

• (3, 30)

• (6, 27)

In the standard (x, y) coordinate plane, what is the midpoint of the line segment that has endpoints (-6, 9) and (2, 5)?

• (-4, -4)

• (-2, 7)

• (4, -2)

• (8, -4)

In the figure shown, all angles are right angles, and the side lengths given are in centimeters. What is the area, in square centimeters, of the figure?

• 42

• 75

• 93

• 99

• 117

• Cannot be determined

A 6-inch-by-6-inch square grid shown to the left is divided into 36 squares, each with a side length of 1 inch. Each vertex of the 2 shaded triangles lies at an intersection of 2 grid lines. What fractional part of the 6-inch-by-6inch square is shaded?