Scale and Scale Factor Review

Your family recently had a family portrait taken. Your aunt asks you to take a picture of the portrait using your phone and send it to her. If the original portrait is 3 feet by 4 feet, and the scale factor is 1/18, what would be the size of the portrait on your phone?

• $\frac{1}{6}\ ft$ by $\frac{2}{9}\ ft$

• $\frac{1}{54}\ ft$ by $\frac{1}{72}\ ft$

• $72\ ft$ by $54\ ft$

John is building his daughter a dollhouse that is a miniature model of their house. The front of their house has a circular window with a diameter of 5 feet. If the scale factor for the model house is 1/30, what would the new dimension of the window be?

• $\frac{1}{6}\ ft$

• $150\ ft$

• $\frac{1}{150}\ ft$

Kate is running for school president. Her best friend designed her campaign poster, which measured 36 inches by 24 inches. Kate liked the poster so much, she reduced the image of the artwork by a scale factor of 0.05 and reproduced them on rectangular buttons. What is the size of the buttons?

• $720\ in$ by $480\ in$

• $\frac{1}{720}\ in$ by $\frac{1}{480}\ in$

• $1.8\ in$ by $1.2\ in$

A rectangular pool in your friend’s yard is 150 ft. × 400 ft. Using a scale factor of 1/600, what would the new dimensions of the pool be?

• $90000\ ft$ by $240000\ ft$

• $\frac{1}{4}\ ft$ by $\frac{2}{3}\ ft$

• $\frac{1}{3}\ ft$ by $\frac{1}{2}\ ft$

The length of the tunnel under the water is 50 miles. If 1 inch represents 10 miles, what is the length of the tunnel on the map?

• $5\ \ feet$

• $500\ \ inches$

• $5\ \ inches$

• $500\ feet$

What equation can be used to find the scale factor?

• $SF=N\cdot O$

• $SF=\frac{0}{N}$

• $SF=\frac{N}{O}$

What equation can be used to find the dimensions of the new image?

• $N=SF\cdot O$

• $N=\frac{SF}{O}$

• $N=\frac{O}{SF}$

What equation can be used to find the dimensions of the original image?

• $O=SF\cdot N$

• $O=\frac{N}{SF}$

• $O=\frac{SF}{N}$

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

Tags

CCSS.7.G.A.1

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2