Question 1: If a triangle has sides of 3 cm, 4 cm, and 5 cm, and it is enlarged with a scale factor of 2, what are the lengths of the sides of the enlarged triangle?

Answer: 6, 8, 10

Question 2: Construct a rectangle on the grid that is an enlargement of a rectangle measuring 2 cm by 3 cm, with a scale factor of 3. Show your drawing clearly.

Answer: Rectangle with sides 6 cm and 9 cm

Question 3: A small drawing measures 4 cm across. It is enlarged to measure 12 cm. What is the scale factor of the enlargement?

Answer: 3

Question 4: A photograph is enlarged from 8 cm by 10 cm to 24 cm by 30 cm. Calculate the scale factor of the enlargement.

Answer: 3

Question 5: On the grid, draw a small square with sides of 2 cm. Enlarge it by a scale factor of 4. Show the enlarged square on the grid.

Answer: Square with sides 8 cm

Question 6: A small circle has a radius of 3 cm. It is enlarged so that the radius becomes 9 cm. What is the scale factor?

Answer: 3

Question 7: A drawing of a house measures 5 cm in width and 7 cm in height. It is enlarged with a scale factor of 1.5. Find the new dimensions.

Answer: 7.5 cm and 10.5 cm

Question 8: A blueprint of a room shows a length of 4 cm representing 6 meters in real life. What is the scale factor of the blueprint?

Answer: 1:1.5

Question 9: A poster’s dimensions are enlarged from 40 cm by 50 cm to 80 cm by 100 cm. What is the scale factor of the enlargement?

Answer: 2

Question 10: Identify and correct the mistake in this statement: 'When enlarging a drawing with a scale factor of 4, all sides are multiplied by 5.'

Answer: Sides should be multiplied by 4, not 5.

Question 11: A small sketch measures 3 cm across and is enlarged to 15 cm. What is the scale factor? If the enlargement was made with a scale factor of 4 instead, what would the new size be?

Answer: Scale factor 5; new size 12 cm

Question 12: A model car is built to a scale of 1:20. If the actual car is 4 meters long, what is the length of the model in centimeters?

Answer: 20 cm