Geometry Quiz

A three-dimensional figure is cut by a plane parallel to its base, resulting in the given shape. Which could be the shape of the original figure?

• cone

• cylinder

• rectangular pyramid

• triangular prism

Which number line models the sum of 25 + (−50) correctly?

If the money a worker earns, $m$, is proportional to the number of hours worked, $h$, which table could represent the relationship?

• Hours, $h$ | Money, $m$ 0 | $0 4 | $58.00 8 | $72.50

• Hours, $h$ | Money, $m$ 0 | $0 4 | $58.00 8 | $116.00

• Hours, $h$ | Money, $m$ 1 | $0 4 | $58.00 8 | $72.50

• Hours, $h$ | Money, $m$ 1 | $0 4 | $58.00 8 | $116.00

A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to approximate the probability of 5 students receiving chocolate ice cream for dessert. For the simulation, the classmates create a spinner divided into 10 equal-sized sections and label each section either "Chocolate Ice Cream" or "Not Chocolate Ice Cream" to represent the type of dessert a student receives. How many sections of the spinner should the class label "Chocolate Ice Cream"?

• 3 sections

• 4 sections

• 6 sections

• 7 sections

A lifeguard fills a pool with water at a constant rate. After $\frac{1}{2}$ hour, $\frac{1}{3}$ of the pool is filled. At this rate, what fraction of the pool is filled per hour?

• $\frac{1}{6}$ of the pool

• $\frac{1}{3}$ of the pool

• $\frac{1}{2}$ of the pool

• $\frac{2}{3}$ of the pool

The inequality 10w + 40 < 450 represents the maximum number of ten-pound weights, w, a weight bench can hold if the maximum weight capacity of the bench is less than 450 pounds. The table shows the steps a trainer takes to solve the inequality. Step | Inequality Given | 10w + 40 < 450 1 | 10w < 490 2 | w < 49 Which statement is true?

• The trainer solves the inequality correctly, and the weight bench can hold a maximum of 49 ten-pound weights.

• The trainer solves the inequality correctly, and the weight bench can hold less than 49 ten-pound weights.

• The trainer solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

• The trainer solves the inequality incorrectly and makes a mistake between the Given and Step 1.

There are 2 squares, 2 triangles, 2 hexagons, and 2 circles in a teacher's bag of shapes. If a student randomly selects 1 shape from the bag, what is the probability that the student selects a circle?

• 0.75

• 0.5

• 0.25

• 0.2

The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the third side of the triangular playground?

• 6 feet

• 7 feet

• 54 feet

• 55 feet

A gas pump fills gas into a flying hot air balloon at a constant rate. The table shows the relationship between the total number of gallons of gas, y, a hot air balloon uses flying for x hours. Which equation represents the relationship?

• y = 3x

• y = 6x

• y = 30x

• y = 60x

Consider the rectangle. Which two expressions represent the area of the rectangle?

• 2(x + 7) + 2(9)

• 9(x + 7)

• 2x + 2(7) + 2(9)

• 2x + 32

• 9x + 63