7th Grade SBAC Geometry Review

Imagine Mac and Aaliyah are taking a thrilling ride on the Pike Ferris Wheel in downtown Long Beach, which has a dazzling diameter of 90 feet! Can you help them figure out how far one of the gondolas will travel in a single spin around this giant wheel? Select all the expressions below that could be used to find this distance, measured in feet.

• 2π · 90

• 90π

• 2 · π · 45

Tags

CCSS.7.G.B.4

Danillo and Hailey are having a pizza party! They ordered a large pizza and a medium pizza. How many square inches more pizza is in the large pizza than the medium pizza?

• 43.96 in²

• 25.12 in²

• 60.00 in²

• 10.50 in²

Tags

CCSS.7.G.B.4

Alayna wants to transform her backyard into a lush green paradise and needs to figure out the area, in square feet, to buy the perfect amount of sod. The grassy part of her backyard is illustrated below. Can you help her find the area covered by grass?

Alayna and Jaden are planning a camping trip and need to make a tent like the one shown below, including a fabric floor. Can you help them find the least amount of fabric needed?

• 160 square feet

• 120 square feet

• 200 square feet

• 180 square feet

Tags

CCSS.7.G.B.6

Kayla is organizing her refrigerator and finds a rectangular prism-shaped drawer that is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. She notices that the length of the bottom of the drawer is 4 inches longer than the width. Can you help Kayla find the volume of the drawer, in cubic inches?

• 832 cubic inches

• 768 cubic inches

• 960 cubic inches

• 896 cubic inches

Tags

CCSS.7.G.B.6

Enzo and Nayomi are on an adventurous trip to the Devils Postpile National Monument near Mammoth Lakes, California. They are fascinated by the hexagonal prism-shaped columns of rock that formed after lava cooled. One of these columns contains 180 cubic feet of rock, and the area of the hexagonal base is 3 square feet. Can you help Enzo and Nayomi figure out the height of this column?

• 60 ft

• 30 ft

• 15 ft

• 90 ft

Tags

CCSS.7.G.B.6

Nayomi is designing a large metal coffee can for her new café. The can is shaped like a cylinder with a diameter of 6.2 inches and a height of 7 inches. Which of the following is the closest to the total volume of the can, in cubic inches?

• 68.17 in.^3

• 136.35 in.^3

• 211.33 in.^3

• 845.34 in.^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two magical cylinders are shown in a wizard's workshop. Kayla, the young wizard, claims that the volume of Cylinder B is 4 times greater than the volume of Cylinder A. Is Kayla's magical claim true? Why or why not?

• Yes, because the radius of Cylinder B is 4 times greater than the radius of Cylinder A.

• No, because the height of Cylinder B is not 4 times greater than the height of Cylinder A.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Kayla and Enzo are making ice cream cones for a party. They have a cone with a diameter of 4.6 cm and a height of 11 cm. Can you help them find the volume of the cone, in cm³, so they know how much ice cream to scoop? Round your answer to the nearest hundredth.

• 60.98 cm³

• 45.32 cm³

• 72.15 cm³

• 38.50 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

• 56.25 ft
• 246 ft
• 365 ft
• 393 ft

Tags

CCSS.7.G.B.4