Exploring Grade 7 Math Concepts

What is a key characteristic of a scale drawing?

• It does not need to be proportional to the real object.

• It is always smaller than the real object.

• It accurately represents the proportions of the real object.

• It is always larger than the real object.

If 1 cm on a scale drawing represents 2 meters in real life, what is the real-life length of a 14 cm line on the drawing?

• 28 meters

• 14 meters

• 21 meters

• 7 meters

How do you convert a measurement from a scale drawing to the actual size if the scale factor is 1:2?

• Add 2

• Divide by 2

• Multiply by 1

• Multiply by 2

What is the approximate height of the Willis Tower if each mark on the scale represents 100 meters and there are 5 marks?

• 100 meters

• 50 meters

• 500 meters

• 200 meters

If a scale drawing of a plane's wingspan measures 45 feet, what is the estimated real wingspan?

• 47 feet

• 50 feet

• 45 feet

• 46 feet

In a blueprint where 1 inch equals 10 feet, what are the actual dimensions of a room measuring 3 inches by 5.5 inches?

• 30 feet by 55 feet

• 15 feet by 27.5 feet

• 3 feet by 5.5 feet

• 10 feet by 20 feet

How many feet does one inch represent on a map if the graphic scale shows 200 feet per inch?

• 100 feet

• 200 feet

• 300 feet

• 400 feet

What is the area of a triangle with a base of 3 units and a height of 3 units?

• 3 square units

• 9 square units

• 6 square units

• 4.5 square units

If the area of a scaled copy of a triangle is 72 square units and the original area is 4.5 square units, what is the scale factor?

• 16

• 8

• 2

• 4

What is the length of the bottom side of a scaled copy of a triangle if the original length is 3 units and the scale factor is 4?

• 12 units

• 3 units

• 9 units

• 6 units