Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
1
1. Daniel drew a similar rectangle 4 the length and width of the original. What is the new
perimeter of the new rectangle?
A. 22.5 cm
B. 90 cm
C. 11.25 cm
D. 31.25 cm
2. The circumference of a circular frame is 4.25 inches. Which of the following expressions
best represents r, the radius of the circular frame?
A. 4.25 ∙ 𝜋
C.
4.25
𝜋
B.
4.25
2𝜋
D. 4.25 ∙ 2𝜋
3. An art class is using cylinder shaped canisters for an art project. They need to cover the
top circular portion of each canister with felt. Approximately how much felt will they need
to cover the top of the 5 canisters?
A. 20 𝑖𝑛2
B. 16 𝑖𝑛2
C. 100 𝑖𝑛2
D. 78 𝑖𝑛2
Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
4. Which measurement is the best estimate of the area of the unshaded portion of the figure
shown below?
A. 90 𝑐𝑚2
B. 156 𝑐𝑚2
C. 42 𝑐𝑚2
D. 34 𝑐𝑚2
5. Two similar triangles are shown below.
Which proportion could represent the relationship between the lengths of the sides a and
b between the original triangle and the similar triangle?
A.
5
7
= 20
15
B.
5
7
= 22
20
C.
5
7
= 15
21
D.
5
7
= 21
15
6. The dimensions of a sports track are shown below.
If the sports track is formed by a rectangle and two semi-circles, what is the approximate
distance a runner would run around the sports track?
A. 242 m
B. 3060 m
C. 283 m
D. 4077 m
Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
7. A circle has a circumference of 15.7 centimeters. Which equation below can be used to
find d, the diameter of the circle?
A.
15.7
𝜋
=𝑑
C. 𝑑 = 2 × 𝜋 × 15.7
B. 𝑑 =
15.7
𝑟
D. 𝑑 =
15.7
2𝜋
8. Mary is cutting a circle out of a square piece of construction paper to use for a craft
project.
Approximately, how much of the construction paper is left over when Mary removes the
circle?
A. 31 𝑖𝑛2
B. 144 𝑖𝑛2
C. 113 𝑖𝑛2
D. 49 𝑖𝑛2
9. Ralph wants to paint the front door of his house. The door is the shape of a rectangle with
a circular window in the middle of it. The figure is shown below.
Assuming that Ralph will not paint the window, how many square feet of paint will Ralph
use to paint his door? Round your answer to the nearest tenth.
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
10.Isosceles trapezoid 𝐴𝐵𝐶𝐷 is divided by a line ̅̅̅̅
𝑄𝑆 to create the similar isosceles trapezoid
𝐴𝑄𝑆𝐷 as shown below.
̅̅̅̅ and 𝑆𝐷
̅̅̅̅?
Based on the given information, what could be the length of line 𝐴𝐷
A. The length of line ̅̅̅̅
𝐴𝐷 is 12 cm and the length of ̅̅̅̅
𝑆𝐷 is 32 cm.
̅̅̅̅ is 18 cm and the length of 𝑆𝐷
̅̅̅̅ is 45 cm.
B. The length of line 𝐴𝐷
̅̅̅̅ is 54 cm and the length of 𝑆𝐷
̅̅̅̅ is 18 cm.
C. The length of line 𝐴𝐷
D. The length of line ̅̅̅̅
𝐴𝐷 is 27 cm and the length of ̅̅̅̅
𝑆𝐷 is 9 cm.
11. Paul wants to make a pool cover. He has a circular pool that has a diameter of 22 meters.
22m
How many square meters of pool cover will he need to cover the pool? Use 3.14 for .
A. 1,519.76 𝑚2
B. 34.54 𝑚2
C. 379.94 𝑚2
D. 69.08 𝑚2
12. Ben is six years old and is learning to ride a bicycle. His bicycle wheel has 1 ft radius. If his wheel
makes five full rotations, how far will Ben have traveled?
A. 3.14 ft
B. 15.7 ft
C. 6.28 ft
D. 31.4 ft
Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
13. Which formula could be used to find the area of the circle shown below?
A. 𝐴 = 𝜋(20)2
B. 𝐴 = 𝜋(40)2
C. 𝐴 = 𝜋(20)
D. 𝐴 = 𝜋(40)
14. Heidi wants to cover her semi-circular shaped patio with tile. The diameter of her patio is 18m. How
many square feet of tile will she need to cover her patio? She can only buy the tile in whole square foot.
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
15. Kayla and Brittany each have a lip gloss collection.



The number of lip glosses in Kayla’s collection can be represented by x.
The number of lip glosses in Brittany’s collection is four times the number in Kayla’s collection.
The total number of lip glosses in both collections is 160.
What is x, the number of lip glosses in Kayla’s collection?
A. 40
B. 128
C. 32
D. 80
16. Which situation could NOT be represented by the equation below?
600 − 30𝑤 = 250
A. Eric opens a checking account with an initial deposit of $600. He needs $250 remaining in his
account at the end of the year. If he transfers $30 from his account each week, how many
weeks will it be before Eric reaches an account balance of $250?
B. Stefan wants to have $250 in his savings account at the end of the semester. He begins with
$600 in his account. If he withdraws $30 weekly, how many weeks can Stefan withdraw and still
meet his budget?
C. Kevin currently has $600 in his account. If he withdraws $30 a week, how many weeks can
Kevin withdraw money before his account balance is $250?
D. Derek has no more than $250 in his checking account. If he deposits $30 a week and receives a
bonus check of $600, how many weeks will it take to have more than $600.
Composite Figures and Ratio of Pi Test
Name:_________________________________ Date:_______________ Period:___________________
17. If 𝑥 = 6, which inequality is true?
A. 12 − 2𝑥 > 13
B. −4 − 5𝑥 > −15
C. 10 − 𝑥 < −3
D. 5 − 3𝑥 < −12
18. Which of the following could be represented by the inequality below?
5𝑥 + 30 > 150
A. Sally makes bracelets to sell. Her profit for each bracelet sold is $5 and she has already sold 30
bracelets. How many more bracelets must Sally sell is she wants to make more than $150?
B. Sally makes bracelets to sell. Her profit for each bracelet is $5 and she has already sold 6
bracelets. How many more must she sell if she wants to make more than $150?
C. Sally makes bracelets to sell. Her profit for each bracelet is $5 and she has already sold 30
bracelets. How many bracelets must Sally sell if she wants to make a minimum of $150?
D. Sally makes bracelets to sell. Her profit for each bracelet is $5 and she has already sold 6
bracelets. How many more must she sell if she wants to make a minimum of $150?
19. Which number line represents the solution to the inequality −2𝑥 + 5 < 19?
A.
B.
C.
D.
20. If 𝑥 = −5, which inequality is true?
A. −5 − 3𝑥 > 10
B. −3 − 5𝑥 < −15
C. 2 − 𝑥 < −3
D. 1 − 2𝑥 < 13