Quarter 1 Benchmark Review

Alex made a scale drawing of a stained glass window using a scale of 1 ½ cm = 1 foot.

What is the actual width, in feet, of the stained glass window?

• 1 ¼ feet

• 2 ½ feet

• 3 ¾ feet

• 5 ⅝ feet

Barnes and Noble Bookstore had 3000 copies of a new book in stock. The store has sold 2200 copies of the book at a rate of 40 books per day. If the store continues to sell the books at this rate, in how many more days will the books be sold out?

• 20

• 55

• 75

• 130

A paper plate has a diameter of 22.86 centimeters.

What is the approximate area of the paper plate?

(π ≅ 3.14)

• 35.89 cm²

• 71.78 cm²

• 410.22 cm²

• 1640.90 cm²

A particular maple leaf measures 8 inches from tip to stem. In a scale drawing, the maple leaf measures 1.5 inches from tip to stem. Using the same scale, a drawing of a post maple leaf measures 0.6 inch from tip to stem. What is the actual length of the post maple leaf?

• 2.0 inches

• 3.2 inches

• 12.6 inches

• 20 inches

What is the area of a circle that has a circumference of 10π?

• 5π

• 20π

• 25π

• 100π

Edward is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.

If Edward’s model has a wingspan of 20 centimeters (cm), what is the length of the model?

• 180 cm

• 90 cm

• 60 cm

• 24 cm

Tanya has a small fish tank that is 3 feet long, 2 feet high, and 1 foot wide. She wants to buy more fish, so she will need a fish tank with a larger volume. What would be the volume of a fish tank, in cubic feet, that has a scale factor of 3 compared with each dimension of his old fish tank?

• 6

• 18

• 162

• 216

This figure consists of a rectangle and a semicircle.

What is the area, in square inches, of this figure?

• 400 + 4π

• 400 + 8π

• 400 + 32π

• 400 + 64π

A 20-pound bag of grass seed will cover an area of about 6000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k?

• 1/300

• 1/20

• 300

• 120,000

The distance a typical hummingbird flies is 5.0 meters every second. The graph below models this situation.

What does Point J represent on the graph?

• The hummingbird flies a distance of 5 meters every 30 seconds.

• The hummingbird flies a distance of 6 meters every 30 seconds.

• The hummingbird flies a distance of 30 meters every 5 seconds.

• The hummingbird flies a distance of 30 meters every 6 seconds.