Mathematical Problem Solving Techniques

This video tutorial covers various mathematical problems related to proportional relationships, paint mixing ratios, airplane speed and distance, cost calculations, and geometric measurements. It includes practical examples such as calculating the time for an ant farm to consume apples, mixing paint to achieve a specific color, determining airplane travel distance, and finding the circumference and area of circular objects. The tutorial also explores the concept of scaling in geometry using squares.

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

• 18 days

• 12 days

• 9 days

• 24 days

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

• 24 quarts

• 28 quarts

• 20 quarts

• 16 quarts

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

• 0.20 miles/second

• 0.15 miles/second

• 0.25 miles/second

• 0.10 miles/second

How far will the airplane travel in 30 seconds?

• 5.0 miles

• 4.5 miles

• 4.0 miles

• 3.5 miles

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

• 160 pounds

• 150 pounds

• 200 pounds

• 175 pounds

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

• 18.27 miles

• 16.27 miles

• 17.27 miles

• 15.27 miles

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

• 20.75 square miles

• 22.75 square miles

• 21.75 square miles

• 23.75 square miles

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

• 14.29 cm

• 15.29 cm

• 16.29 cm

• 17.29 cm

What is the area of a circle formed by a 50 cm wire?

• 189 cm²

• 199 cm²

• 219 cm²

• 209 cm²

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

• Yes, always

• No, unless identical

• Yes, if scaled proportionally

• No, never