Scaling and Perimeter: A Fun Math Quiz for 5th Graders

A rectangle has a length of 8 cm and a width of 4 cm. If a similar rectangle has a length of 12 cm, what is its width?

• 6 cm

• 9 cm

• 7 cm

• 5 cm

Two similar triangles have a scale factor of 3. If the perimeter of the smaller triangle is 15 cm, what is the perimeter of the larger triangle?

• 60 cm

• 30 cm

• 20 cm

• 45 cm

A square has a perimeter of 24 cm. If a similar square has a scale factor of 2, what is the perimeter of the larger square?

• 12 cm

• 36 cm

• 48 cm

• 60 cm

A model of a car is 1.5 feet long and is similar to the actual car. If the actual car is 6 feet long, what is the scale factor?

• 3

• 2

• 4

• 5

A triangle has sides measuring 5 cm, 12 cm, and 13 cm. If a similar triangle has a scale factor of 2, what are the lengths of its sides?

• 15 cm, 30 cm, 35 cm

• 5 cm, 12 cm, 13 cm

• 8 cm, 20 cm, 24 cm

• 10 cm, 24 cm, 26 cm

A garden is shaped like a rectangle with a length of 10 m and a width of 5 m. If a similar garden is scaled up by a factor of 4, what will be the perimeter of the larger garden?

• 120 m

• 100 m

• 60 m

• 80 m

Two similar pentagons have perimeters of 30 cm and 45 cm. What is the scale factor between the two pentagons?

• 4/3

• 3/2

• 1/2

• 2/3

A painting is 2 feet wide and 3 feet tall. If a similar painting is 4 feet wide, what is its height?

• 5 feet

• 4 feet

• 8 feet

• 6 feet

A rectangular swimming pool is 20 m long and 10 m wide. If a similar pool is built with a length of 30 m, what will be its width?

• 25 m

• 20 m

• 10 m

• 15 m

A triangle has a perimeter of 24 cm. If a similar triangle has a perimeter of 36 cm, what is the scale factor between the two triangles?

• 3

• 0.75

• 1.5

• 2