Q1 Grade 7 Benchmark Review

Q1 Grade 7 Benchmark Review

Scale Copies & Proportional Relationships

Multiple Choice

A scale factor of 3 is used from Triangle ABC to Triangle DEF to make a larger scaled copy. What is the measure of angle F in the set of scaled copies?

• 92 degrees

• 52 degrees

• 36 degrees

• 156 degrees

• 17 degrees

Multiple Choice

A scale factor of 3 is used from Triangle ABC to Triangle DEF to make a larger scaled copy. What is the length of side DF?

• 3

• 9

• 27

• 36

Multiple Choice

Determine the scale factor from Triangle ABC to Triangle DEF

• $\frac{2}{3}$

• $\frac{3}{2}$

• $3$

• $\frac{1}{3}$

Multiple Choice

What is the scale factor from the original to the scaled copy?

• 6

• $\frac{1}{6}$

• $\frac{1}{4}$

• 4

Multiple Choice

Find side length x in the set of similar figures (scaled copies).

• 16

• 18

• 2.4

• 15

Multiple Choice

Mrs. Hendren found this SVG file online and wants to resize it to make a a vinyl transfer onto a t-shirt.

She decided to enlarge it so that the vinyl transfer is now 18.75 inches tall. What will be the area of the vinyl transfer Mrs. Hendren makes?

• 206.75

• 33

• 15

• 281.25

Multiple Choice

The diagram shows the length and height of a dresser.

Mr. Mack wants to build a small model of the dresser with the same ratio of length to height as shown in the diagram. He wants the height of the dresser to be only 57 inches. How long should Mr. Mack make his model dresser?

• 54

• 56

• 58

• 60

Multiple Choice

A scale factor of 1/9 will be used to shrink the rectangle. What is the perimeter of the new rectangle?

• 19

• 24

• 42

• 38

Multiple Choice

A blueprint of your house shows the kitchen to be  $1\ \frac{1}{8}$  inches  long. The scale on the blueprint is  $\frac{3}{4}$  inch = 15 feet. What is the length of the actual kitchen?

•  $20\ \frac{3}{4}$  feet

•  $24\ \frac{1}{4}$  feet

•  $22\ \frac{1}{2}$  feet

•  $25\ \frac{1}{2}$  feet

Multiple Choice

Mrs. Martin measured her house and made a scale drawing. She used the scale 3 in: 8 ft. The wraparound porch is 34 feet long in real life. How long is the porch in the scale drawing?

• $14\ \frac{1}{4}$ inches

• $12\ \frac{3}{4}$ inches

• $12\ \frac{1}{2}$ inches

• $14\ \frac{3}{4}$ inches

Multiple Choice

At the market, 7 apples cost $4.55. What is the cost per apple?

• 1.54 apples per dollar

• $1.54 per apple

• $0.65 per apple

• 65 apples per dollar

Multiple Choice

Mrs. McHam can wash 95 cars in 5 days. How many cars does she wash each day?

• 475 cars per day

• 19 cars per day

• .05 cars per day

• 15 cars per day