Distance, Area, and Speed Problems

This lesson covers Math 6 Unit 5 Lesson 14, focusing on using operations on decimals to solve problems. It includes estimation exercises, problem-solving with division of decimals, and activities involving distance and measurement. A complex problem about tennis court dimensions is also discussed. The lesson concludes with a summary and homework instructions.

What is the best estimate for the division of 76.2 by 15?

• Approximately 50

• Approximately 10

• Approximately 7

• Approximately 5

If a rope is 5.75 meters long and is cut into 20 equal pieces, what is the length of each piece?

• 0.475 meters

• 0.375 meters

• 0.575 meters

• 0.2875 meters

How many pieces of 0.05 meters can be cut from a 5.75-meter rope?

• 115 pieces

• 130 pieces

• 125 pieces

• 120 pieces

What is the speed in miles per hour if Taoris travels 0.945 miles in 3.5 hours?

• 0.27 miles per hour

• 0.37 miles per hour

• 0.47 miles per hour

• 0.57 miles per hour

How long will it take to travel 4.86 miles at a speed of 0.27 miles per hour?

• 20 hours

• 18 hours

• 22 hours

• 24 hours

What is the distance between each hurdle if there are 10 hurdles equally spaced on a 110-meter track?

• 9.14 meters

• 12.14 meters

• 10.14 meters

• 11.14 meters

How long is each stride if a runner takes three strides between hurdles, leaving the ground 2.2 meters before and landing 1 meter after?

• 2.18 meters

• 1.98 meters

• 2.08 meters

• 2.28 meters

Is each half of a tennis court a square if the net divides it into two halves?

• Yes, because the dimensions are equal

• No, because the dimensions are not equal

• Yes, because the court is rectangular

• No, because the net is not centered

What happens to the size of a tennis court if lines are painted outside the original markings?

• The court becomes irregular

• The court size remains the same

• The court size decreases

• The court size increases

How much extra area is added to the tennis court due to the painted lines?

• 2.474 square meters

• 1.474 square meters

• 3.474 square meters

• 0.474 square meters