Geometry and Measurement Problems

This video tutorial covers various mathematical problems for 7th-grade students, including proportional relationships, paint mixtures, airplane speed and distance, cost calculations for strawberries, and geometric measurements of circles and quadrilaterals. Each problem is explained step-by-step, demonstrating how to apply mathematical concepts to solve real-world scenarios.

If an ant farm takes 3 days to eat half an apple, how many days will it take to eat 2 apples?

• 18 days

• 12 days

• 9 days

• 6 days

To make Jasper Green paint, how many quarts of green paint are needed for 1 cup of black paint?

• 24 quarts

• 18 quarts

• 12 quarts

• 6 quarts

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

• 0.25 miles/second

• 0.20 miles/second

• 0.10 miles/second

• 0.15 miles/second

How far will the airplane travel in 60 seconds at the given speed?

• 6 miles

• 7.5 miles

• 10.5 miles

• 9 miles

If the cost of strawberries is $1.38 per pound, how many pounds can be bought for $69?

• 50 pounds

• 60 pounds

• 70 pounds

• 80 pounds

What is the circumference of a circle with a diameter of 10 miles?

• 31.4 miles

• 15.7 miles

• 25 miles

• 20 miles

What is the area of a circle with a radius of 3 miles?

• 37.68 square miles

• 47.12 square miles

• 18.85 square miles

• 28.27 square miles

If a wire of 100 cm is bent into a circle, what is the diameter of the circle?

• 25.5 cm

• 31.8 cm

• 15.9 cm

• 20.4 cm

Are two squares with side lengths in a 2:1 ratio scale copies of each other?

• Only if they have the same perimeter

• Yes, they are scale copies

• No, they are not scale copies

• Only if they have the same area

What is the area of a circle with a circumference of 50 cm?

• 199 cm²

• 100 cm²

• 250 cm²

• 150 cm²