Scale Factors and Similarity in Shapes: Grade 6 Quiz

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?

• 7 cm

• 5 cm

• 10 cm

• 6 cm

Tags

CCSS.7.G.A.1

Two triangles are similar. The first triangle has sides of 5 cm, 12 cm, and 13 cm. If the scale factor to the second triangle is 2, what are the lengths of its sides?

• 5 cm, 12 cm, 13 cm

• 15 cm, 30 cm, 39 cm

• 10 cm, 24 cm, 26 cm

• 8 cm, 16 cm, 20 cm

Tags

CCSS.7.G.A.1

A model of a car is 1:20 scale. If the model is 15 cm long, how long is the actual car?

• 150 cm

• 300 cm

• 600 cm

• 75 cm

Tags

CCSS.7.G.A.1

A painting is 3 feet wide and 2 feet tall. If a similar painting is 4.5 feet wide, what is its height?

• 2 feet

• 3 feet

• 4 feet

• 5 feet

Tags

CCSS.7.G.A.1

Two similar pentagons have a scale factor of 3:5. If the area of the smaller pentagon is 20 square cm, what is the area of the larger pentagon?

• 30 square cm

• 75 square cm

• 55.56 square cm

• 40 square cm

A garden is designed in the shape of a rectangle that is 10 m long and 5 m wide. If a similar garden is to be built with a length of 15 m, what will be the width?

• 5 m

• 10 m

• 12.5 m

• 7.5 m

Tags

CCSS.7.G.A.1

A triangle has a height of 6 cm and a base of 8 cm. If a similar triangle has a height of 9 cm, what is the length of its base?

• 10 cm

• 12 cm

• 8 cm

• 14 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A blueprint of a house is drawn at a scale of 1:50. If the width of the blueprint is 2 m, what is the actual width of the house?

• 75 m

• 120 m

• 50 m

• 100 m

Tags

CCSS.7.G.A.1

Two similar squares have a scale factor of 1:4. If the perimeter of the smaller square is 24 cm, what is the perimeter of the larger square?

• 96 cm

• 48 cm

• 72 cm

• 120 cm

A rectangular swimming pool is 12 m long and 6 m wide. If a similar pool is built that is 18 m long, what is the width of the new pool?

• 10 m

• 7 m

• 12 m

• 9 m

Tags

CCSS.7.G.A.1