Mathematical Word Problems and Geometry

This video tutorial covers various mathematical problems related to proportional relationships, including calculating the time for an ant farm to consume apples, mixing paint to create Jasper Green, determining airplane speed and distance, calculating the cost and weight of strawberries, measuring the circumference and area of Crater Lake, finding the area of a circle from a wire, and understanding scale copies of quadrilaterals.

If an ant farm takes 3 days to eat half an apple, how many days will it take to eat 3 apples?

• 24 days

• 9 days

• 12 days

• 18 days

To make Jasper Green paint, how many quarts of green paint are needed for 4 cups of black paint?

• 28 quarts

• 20 quarts

• 24 quarts

• 16 quarts

What is the speed of the airplane in miles per second?

• 0.20 miles/second

• 0.15 miles/second

• 0.10 miles/second

• 0.25 miles/second

How far will the airplane travel in 30 seconds?

• 4.0 miles

• 5.0 miles

• 3.5 miles

• 4.5 miles

How many pounds of strawberries did the grocer order if the total cost was $241.50?

• 200 pounds

• 175 pounds

• 160 pounds

• 150 pounds

What is the circumference of Crater Lake if its diameter is 5.5 miles?

• 16.27 miles

• 15.27 miles

• 18.27 miles

• 17.27 miles

What is the area of Crater Lake if its radius is 2.75 miles?

• 23.75 square miles

• 21.75 square miles

• 20.75 square miles

• 22.75 square miles

If a 50 cm wire is bent into a circle, what is the diameter of the circle?

• 18.29 cm

• 16.29 cm

• 15.29 cm

• 17.29 cm

What is the area of a circle with a radius of 7.96 cm?

• 199 cm²

• 195 cm²

• 190 cm²

• 205 cm²

Are two squares with different side lengths scale copies of each other?

• No, unless identical

• Yes, if scaled proportionally

• No, never

• Yes, always