Note: The pages in this packet are meant for additional practice. Students are NOT expected to complete every problem in the packet. Rather, students should use these pages as a resource-- in addition to studying the notes and past quizzes. It is suggested that students complete several problems from each of the following pages in order to be fully prepared for test.

TOPICS COVERED ON “Proportions” TEST:RatiosSolving a ProportionProportion Word ProblemsScale Drawing ProportionsMental PercentagesPercent ProportionsConsumer Applications (Tax, Tips, Discounts)Similar Figure Proportions

NOTES SPACE/HELPFUL TIPS (to be filled out in class):

Name:_________________________________________________________Date:_____/_____/__________

Study Guide“Unit 7, Proportions Test”

1. Define ratio.

2. What are the 3 ways to write a ratio?

3. What is the difference between a ratio and a rate?

4. What is a unit rate?

5. Define a proportion.

6. What is true about the cross-products of a proportion?

7. What is true about the corresponding angles and corresponding sides of similar

figures?

RATIOS/ SOLVING A PROPORTION

RATIOS/ SOLVING A PROPORTION

3 inches

PROPORTION WORD PROBLEMSSCENARIO (SHOW WORK HERE)

1. How much would you pay for 5 apples if 12 apples cost $.96?

2. A recipe calls for 1 ½ cups of sugar for a 3-pound cake. How many cups of sugar would be used for a 5-pound cake?

3. Two numbers are in the ratio 3:2. The smaller number is 36. What is the larger number?

4. There are 3 girls for every 7 boys at the park. If there are 28 boys at the park, how many girls are there?

5. There are 15 hershey kisses for every 3 chocolate bars in the Easter basket. If there are 20 hershey kisses, how many total kisses and bars are there?

6. The ratio of teachers to students on the D.C. field trip is 1 : 5. If there are 23 teachers on the trip, approximately how many students are on the trip?

7. If eight jars of peanut butter is $26.99, what is the unit rate for peanut butter?

8. If Sheila can type 300 words in 5 minutes, how fast can she type in 1 minute?

Scale: 2 in = 7 ft.

6. Living Room 1 in.

7. Dining Room ¾ in.

8. Kitchen 20 ft.

9. Basement 1 ½ in.

10. Bedroom 12 ft

1. Living Room 4 in.

2. Dining Room 14 ft.

3. Kitchen 1.5 in.

4. Basement 25 ft.

5. Bedroom 3 in.

Scale: 0.25 in = 5 ft.

SCALE DRAWINGS

PERCENT PROPORTIONS =

1. You purchase $49.67 worth of groceries. There is a 5% sales tax. What is the total, including tax?

 

2. You purchase an $85 pair of shoes. You also have a coupon for 15% off. What is the sale price?

3. You purchase some essentials at Five Below for $14.99 before tax. The tax is 7%. How much will you pay in tax only?

  

4. You purchase a $200 leather jacket online and use a 25% discount code. What is the discount amount?

5. The bill at a restaurant is $48.40. Your family wants to tip 18%. How much is the total, including the tip?

6. Martin went to the mall with his friends. He wanted to buy his mom a birthday present. He went into the jewelry store and found a diamond necklace on sale for 60% off. The original price of the necklace is $450. How much does he pay? 

   

7. The bill at Outback Steakhouse is $35.50. How much would a 15% tip be?

8. Devon wants to buy the new Jordan’s at Footlocker. They are $150 originally, but there is a sale going on for 30% off of all shoes. How much does Devon need to purchase the Jordan’s?

CONSUMER APPLICATIONSYou may use either the percent proportion OR the multiplication method to solve these:

1)

2)

3)

SIMILAR FIGURESLance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree? a) 20 feet b) 24 feet c) 29 feet d) 51 feet

5 ft

8 ft 32 ft

Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle X? a) 30 b) 60 c) 150 d) 120

J N V Z

K

L

M

W Y 60

150

What is the length of YX ? a) 2 feet b) 3 feet c) 4 feet d) 6 feet

N 12 feet M

L

18 feet

24 feet

Y X

Z 8 feet

4)

5)

6)

SIMILAR FIGURESTriangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

a) PQ 4DE 6

b) PQ 6DE 4

c) PQ 4EF 9

d) PR 6DE 6

Q

P 6 cm R

4 cm

D 9 cm F

E

6 cm

The shadow cast by a one-foot ruler is 8 inches long. At the same time, the shadow cast by a pine tree is 24 feet long. What is the height, in feet, of the pine tree?

a) 3 feet b) 16 feet c) 36 feet d) 192 feet

8 inches

1 fo

ot

24 feet

9. If triangles ADE and ABC shown in the figure to the right are similar, what is the value of x? a) 4 b) 5 c) 6 d) 8 e) 10

12

x

C B

E D

A

2 3

4

MULTIPLE CHOICE

MULTIPLE CHOICE