Toki Math 7 - Unit 6

A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm : 30 ft. What are the dimensions of Martina’s scale model?

• 135 cm by 202.5 cm

• 72 cm by 108 cm

• 54 cm by 81 cm

• 18 cm by 27 cm

In a scale drawing, a plane has a length of 35 centimeters. The actual length of the plane is 7 feet. What is the scale of the drawing?

• 7cm : 35ft

• 7cm : 1ft

• 1cm : 35ft

• 5cm : 1ft

A map has a scale of 3 cm : 20 km. Which statements are true? Choose all that apply.

• Two cities that are 7.5 cm apart on the map are actually 50 km apart.

• Two cities that are 4 cm apart on the map are actually 30 km apart.

• Two cities that are actually 45 km apart are 6.5 cm apart on the map.

• Two cities that are actually 66 km apart are 9.9 cm apart on the map.

Anna cuts four identical circles from a square piece of black poster board as shown. What is the area of the leftover poster board? Use 3.14 for π.

• 3.44 square feet

• 6.58 square feet

• 12.56 square feet

• 16 square feet

If a circle has a circumference of 6π inches, then it has a diameter of 3 inches.

• True

• False

If a circle has a diameter of 2 inches, then it has a circumference of 6.28 inches.

• True

• False

If a circle has a circumference of 2π inches, then it has an area of π square inches.

• True

• False

If a circle has a circumference of π inches, then it has an area of 0.5π square inches.

• True

• False

A special truck cleans the surface of the ice rink shown below. If the truck cleans the entire surface, how many square meters of ice will the truck clean? Use 3.14 for π. Round your answer to the nearest tenth.

• 930.3

• 1660.5

• 730.25

• 1730.25

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Which equation to represents the total amount Gwen will owe her parents.

• 300(3) = A

• 300/.03 = A

• 300(.03) = A

• 300(1.03) = A