Life Math 7 Final Exam

Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actual length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?

• 54 square centimeters

• 60 square centimeters

• 360 square centimeters

• 3,240 square centimeters

The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.

Using this information, ________________triangles can be constructed.

• 0

• 1

• 2

• Infinitely Many

You’re given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?

• 0

• 1

• 2

• Infinitely Many

The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube?

• 12 square centimeters

• 25 square centimeters

• 35 square centimeters

• 49 square centimeters

If you cut a right rectangular prism parallel to its base, apply ink to the cross section, and stamp it on a sheet of paper, which shape will you get?

• 
• 
• 
• 

Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base?

• a cube

• a rectangular prism

• a square pyramid

• a right rectangular prism

Ruby is visiting a wildlife center to gather information for her term paper. The center has a circular pond with a diameter of 20 meters. What is the approximate area of the pond?

A=πr²

Radius = 1/2 of the diameter.

Area =(3.141592654) X (radius)²

• 1,256 square meters

• 628 square meters

• 314 square meters

• 62.8 square meters

Bart is jogging on a circular trail in a state park. The diameter of the trail is 650 meters. What approximate distance does Bart cover in one lap around the park?

C=2πr

Circumference of a circle = (2)(π)(r)

A=πr²

Radius = 1/2 of the diameter.

Area =(3.141592654) X (radius)²

• 1,326,650 meters

• 331,662.5 meters

• 2,041 meters

• 1,020.5 meters

A seafood company produces cans of tuna. Each can gets wrapped with a paper label. If every can has a radius of 8.3 centimeters, what is the approximate length of the paper required to cover two cans?

C=2πr

Circumference of a circle = (2)(π)(r)

A=πr²

Radius = 1/2 of the diameter.

Area =(3.141592654) X (radius)²

• 26.062 centimeters

• 52.124 centimeters

• 104.248 centimeters

• 216.3146 centimeters

Derrick grows vegetables on a circular patch of land. The radius of the patch is 16 meters. What is the approximate area of the patch of land?

C=2πr

Circumference of a circle = (2)(π)(r)

A=πr²

Radius = 1/2 of the diameter.

Area =(3.141592654) X (radius)²

• 25.12 square meters

• 100.48 square meters

• 452.16 square meters

• 803.84 square meters