Question 1

Find area of figure. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  $17.67 \mathrm{~m}^{2}$ 
B)  $35.34 \mathrm{~m}^{2}$ 
C)  $8.8 \mathrm{~m}^{2}$ 
D)  $17.6 \mathrm{~m}^{2}$ 
A)  $17.67 \mathrm{~m}^{2}$ 
B)  $35.34 \mathrm{~m}^{2}$ 
C)  $8.8 \mathrm{~m}^{2}$ 
D)  $17.6 \mathrm{~m}^{2}$

Question 2

Find the measure of the missing angle(s).
-

Accepted Answer

A)  $x=109^{\circ} y=71^{\circ}$ 
B)  $x=19^{\circ} y=161^{\circ}$ 
C)  $x=71^{\circ} y=109^{\circ}$ 
D)  $x=119^{\circ} y=61^{\circ}$ 
A)  $x=109^{\circ} y=71^{\circ}$ 
B)  $x=19^{\circ} y=161^{\circ}$ 
C)  $x=71^{\circ} y=109^{\circ}$ 
D)  $x=119^{\circ} y=61^{\circ}$

Question 3

Find area of figure. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  $264 \mathrm{~m}^{2}$ 
B)  $1064 \mathrm{~m}^{2}$ 
C)  $132 \mathrm{~m}^{2}$ 
D)  $258 \mathrm{~m}^{2}$ 
A)  $264 \mathrm{~m}^{2}$ 
B)  $1064 \mathrm{~m}^{2}$ 
C)  $132 \mathrm{~m}^{2}$ 
D)  $258 \mathrm{~m}^{2}$

Question 4

Solve the problem.
-Joe's garden is fenced in and is a square. In the center is a sprinkler that is $57 \mathrm{ft}$ from the front corner. How far is the sprinkler from the back corner? Round to the nearest hundredth when necessary.

Accepted Answer

A)  $28.5 \mathrm{ft}$ 
B)  $57 \mathrm{ft}$ 
C)  $114 \mathrm{ft}$ 
D)  Not enough information to solve 
A)  $28.5 \mathrm{ft}$ 
B)  $57 \mathrm{ft}$ 
C)  $114 \mathrm{ft}$ 
D)  Not enough information to solve

Question 5

Choose the appropriate sketch and description for the indicated geometric object.
-Equilateral $\triangle \mathrm{ABC}$

Accepted Answer

A)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths; $\angle \mathrm{B}=90^{\circ}$
  
B)  $\overline{\mathrm{AB}}, \overline{\mathrm{AC}}$ are the same length   
C)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths   
D)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ are the same length   
A)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths; $\angle \mathrm{B}=90^{\circ}$
  
B)  $\overline{\mathrm{AB}}, \overline{\mathrm{AC}}$ are the same length   
C)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ have different lengths   
D)  $\overline{\mathrm{AB}}, \overline{\mathrm{BC}}, \overline{\mathrm{AC}}$ are the same length

Question 6

Solve area problem.
-Find the total area of the roof of the garage.

Accepted Answer

A)  $336 \mathrm{ft}^{2}$ 
B)  $224 \mathrm{ft}^{2}$ 
C)  $44 \mathrm{ft}^{2}$ 
D)  $112 \mathrm{ft}^{2}$ 
A)  $336 \mathrm{ft}^{2}$ 
B)  $224 \mathrm{ft}^{2}$ 
C)  $44 \mathrm{ft}^{2}$ 
D)  $112 \mathrm{ft}^{2}$

Question 7

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.
-$a=30 \mathrm{~cm}, \mathrm{c}=50 \mathrm{~cm}$

Accepted Answer

A)  $\mathrm{b}=80 \mathrm{~cm}$ 
B)  $b=20 \mathrm{~cm}$ 
C)  $b=10 \mathrm{~cm}$ 
D)  $b=40 \mathrm{~cm}$ 
A)  $\mathrm{b}=80 \mathrm{~cm}$ 
B)  $b=20 \mathrm{~cm}$ 
C)  $b=10 \mathrm{~cm}$ 
D)  $b=40 \mathrm{~cm}$

Question 8

Solve the problem. Use 3.14 as the approximate value of $\pi$. Round to the nearest tenth unless instructed otherwise.
-Three people build a rectangular shed $6 \mathrm{ft}$ wide, $4 \mathrm{ft}$ long, and $5 \mathrm{ft}$ high. How many cubic feet does the shed contain?

Accepted Answer

A)  $15 \mathrm{ft}^{3}$ 
B)  $74 \mathrm{ft}^{3}$ 
C)  $720 \mathrm{ft}^{3}$ 
D)  $120 \mathrm{ft}^{3}$ 
A)  $15 \mathrm{ft}^{3}$ 
B)  $74 \mathrm{ft}^{3}$ 
C)  $720 \mathrm{ft}^{3}$ 
D)  $120 \mathrm{ft}^{3}$

Question 9

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary.
-

Accepted Answer

A)  $2147.76 \mathrm{yd}^{3}$ 
B)  $178.98 \mathrm{yd}^{3}$ 
C)  $357.96 \mathrm{yd}^{3}$ 
D)  $536.94 \mathrm{yd}^{3}$ 
A)  $2147.76 \mathrm{yd}^{3}$ 
B)  $178.98 \mathrm{yd}^{3}$ 
C)  $357.96 \mathrm{yd}^{3}$ 
D)  $536.94 \mathrm{yd}^{3}$

Question 10

Solve the problem.
-In a computer game, you are facing a door. If you turn right $70^{\circ}$, you face a window. The instructions say the angle between the door and the window, plus the angle between the window and the treasure, are supplementary angles. How many degrees more must you turn right to face the treasure?

Accepted Answer

A)  $140^{\circ}$ 
B)  $20^{\circ}$ 
C)  $70^{\circ}$ 
D)  $110^{\circ}$ 
A)  $140^{\circ}$ 
B)  $20^{\circ}$ 
C)  $70^{\circ}$ 
D)  $110^{\circ}$

Question 11

Solve the problem.
-What will it cost to buy ceiling molding to go around a rectangular room with length $15 \mathrm{ft}$ and width $10 \mathrm{ft}$ ? The molding costs $\$ 2.93$ per linear foot.

Accepted Answer

A)  $\$ 73.25$ 
B)  $\$ 87.90$ 
C)  $\$ 146.50$ 
D)  $\$ 58.60$ 
A)  $\$ 73.25$ 
B)  $\$ 87.90$ 
C)  $\$ 146.50$ 
D)  $\$ 58.60$

Question 12

Find area of circle. (Use 3.14 for $\pi$ )
-A circle whose radius is $10 \mathrm{yd}$

Accepted Answer

A)  $31.4 \mathrm{yd}^{2}$ 
B)  $1256 \mathrm{yd}^{2}$ 
C)  $314 \mathrm{yd}^{2}$ 
D)  $62.8 \mathrm{yd}^{2}$ 
A)  $31.4 \mathrm{yd}^{2}$ 
B)  $1256 \mathrm{yd}^{2}$ 
C)  $314 \mathrm{yd}^{2}$ 
D)  $62.8 \mathrm{yd}^{2}$

Question 13

Approximate the square root. Round to the nearest tenth, if needed.
-$\sqrt{6889}$

Accepted Answer

A)  88 
B)  83 
C)  830 
D)  3444.5 
A)  88 
B)  83 
C)  830 
D)  3444.5

Question 14

Find area of figure. Round to the nearest hundredth if necessary.
- 
(Use 3.14 for $\pi$.)

Accepted Answer

A)  Not enough data 
B)  $32.24 \mathrm{~m}^{2}$ 
C)  $51.47 \mathrm{~m}^{2}$ 
D)  $31.19 \mathrm{~m}^{2}$ 
A)  Not enough data 
B)  $32.24 \mathrm{~m}^{2}$ 
C)  $51.47 \mathrm{~m}^{2}$ 
D)  $31.19 \mathrm{~m}^{2}$

Question 15

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.
-a $=3 y d, b=3 y d$

Accepted Answer

A)  $\mathrm{c}=3 \mathrm{yd}$ 
B)  $\mathrm{c} \approx 4.2 \mathrm{yd}$ 
C)  $\mathrm{c} \approx 2.4 \mathrm{yd}$ 
D)  $\mathrm{c} \approx 3.2 \mathrm{yd}$ 
A)  $\mathrm{c}=3 \mathrm{yd}$ 
B)  $\mathrm{c} \approx 4.2 \mathrm{yd}$ 
C)  $\mathrm{c} \approx 2.4 \mathrm{yd}$ 
D)  $\mathrm{c} \approx 3.2 \mathrm{yd}$

Question 16

Find area of figure. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  $135 \mathrm{~m}^{2}$ 
B)  $101 \mathrm{~m}^{2}$ 
C)  $119 \mathrm{~m}^{2}$ 
D)  $185 \mathrm{~m}^{2}$ 
A)  $135 \mathrm{~m}^{2}$ 
B)  $101 \mathrm{~m}^{2}$ 
C)  $119 \mathrm{~m}^{2}$ 
D)  $185 \mathrm{~m}^{2}$

Question 17

Find the measure of the requested angle.
-What is the measure of the angle that is supplementary to $119^{\circ}$ ?

Accepted Answer

A)  $119^{\circ}$ 
B)  $61^{\circ}$ 
C)  $241^{\circ}$ 
D)  $151^{\circ}$ 
A)  $119^{\circ}$ 
B)  $61^{\circ}$ 
C)  $241^{\circ}$ 
D)  $151^{\circ}$

Question 18

Solve area problem.
-A rectangular sheet of paper is $54 \mathrm{in}$. by $39 \mathrm{in}$. An area in the shape of a parallelogram with a height of $11 \mathrm{in}$. and a base of $22 \mathrm{in}$. is cut from the paper. How much paper is left over?

Accepted Answer

A)  $1985 \mathrm{in}^{2}$ 
B)  $1864 \mathrm{in}^{2}$ 
C)  896 in $^{2}$ 
D)  2348 in $^{2}$ 
A)  $1985 \mathrm{in}^{2}$ 
B)  $1864 \mathrm{in}^{2}$ 
C)  896 in $^{2}$ 
D)  2348 in $^{2}$

Question 19

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed.
-A circle whose diameter is 3.4 mi long (Round to three decimal places.)

Accepted Answer

A)  $10.676 \mathrm{mi}$ 
B)  $9.075 \mathrm{mi}$ 
C)  $5.338 \mathrm{mi}$ 
D)  $21.352 \mathrm{mi}$ 
A)  $10.676 \mathrm{mi}$ 
B)  $9.075 \mathrm{mi}$ 
C)  $5.338 \mathrm{mi}$ 
D)  $21.352 \mathrm{mi}$

Question 20

Find the perimeter or circumference.
-A square with side $6.7 \mathrm{yd}$

Accepted Answer

A)  $13.4 \mathrm{yd}$ 
B)  $89.78 \mathrm{yd}$ 
C)  $36.8 \mathrm{yd}$ 
D)  $26.8 \mathrm{yd}$ 
A)  $13.4 \mathrm{yd}$ 
B)  $89.78 \mathrm{yd}$ 
C)  $36.8 \mathrm{yd}$ 
D)  $26.8 \mathrm{yd}$

Find area of figure. Round to the nearest hundredth if necessary. -

Find the measure of the missing angle(s). -

Find area of figure. Round to the nearest hundredth if necessary. -

Solve the problem. -Joe's garden is fenced in and is a square. In the center is a sprinkler that is $57 \mathrm{ft}$ from the front corner. How far is the sprinkler from the back corner? Round to the nearest hundredth when necessary.

Choose the appropriate sketch and description for the indicated geometric object. -Equilateral $\triangle \mathrm{ABC}$

Solve area problem. -Find the total area of the roof of the garage.

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - $a=30 \mathrm{~cm}, \mathrm{c}=50 \mathrm{~cm}$

Solve the problem. Use 3.14 as the approximate value of $\pi$ . Round to the nearest tenth unless instructed otherwise. -Three people build a rectangular shed $6 \mathrm{ft}$ wide, $4 \mathrm{ft}$ long, and $5 \mathrm{ft}$ high. How many cubic feet does the shed contain?

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary. - $Find the volume of the sphere or the cylinder. Use \pi=3.14 when needed. Round to the nearest thousandth if necessary. -$

Solve the problem. -What will it cost to buy ceiling molding to go around a rectangular room with length $15 \mathrm{ft}$ and width $10 \mathrm{ft}$ ? The molding costs $\$ 2.93$ per linear foot.

Find area of circle. (Use 3.14 for $\pi$ ) -A circle whose radius is $10 \mathrm{yd}$

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{6889}$

Find area of figure. Round to the nearest hundredth if necessary. - $Find area of figure. Round to the nearest hundredth if necessary. - (Use 3.14 for \pi .)$ (Use 3.14 for $\pi$ .)

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. -a $=3 y d, b=3 y d$

Find area of figure. Round to the nearest hundredth if necessary. -

Find the measure of the requested angle. -What is the measure of the angle that is supplementary to $119^{\circ}$ ?

Solve area problem. -A rectangular sheet of paper is $54 \mathrm{in}$ . by $39 \mathrm{in}$ . An area in the shape of a parallelogram with a height of $11 \mathrm{in}$ . and a base of $22 \mathrm{in}$ . is cut from the paper. How much paper is left over?

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. -A circle whose diameter is 3.4 mi long (Round to three decimal places.)

Find the perimeter or circumference. -A square with side $6.7 \mathrm{yd}$

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Exam 11: Basic Geometry

Find area of figure. Round to the nearest hundredth if necessary. -

Find the measure of the missing angle(s). -

Find area of figure. Round to the nearest hundredth if necessary. -

Solve the problem. -Joe's garden is fenced in and is a square. In the center is a sprinkler that is 57ft57 \mathrm{ft}57ft from the front corner. How far is the sprinkler from the back corner? Round to the nearest hundredth when necessary.

Choose the appropriate sketch and description for the indicated geometric object. -Equilateral △ABC\triangle \mathrm{ABC}△ABC

Solve area problem. -Find the total area of the roof of the garage.

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - a=30 cm,c=50 cma=30 \mathrm{~cm}, \mathrm{c}=50 \mathrm{~cm}a=30 cm,c=50 cm

Solve the problem. Use 3.14 as the approximate value of π\piπ . Round to the nearest tenth unless instructed otherwise. -Three people build a rectangular shed 6ft6 \mathrm{ft}6ft wide, 4ft4 \mathrm{ft}4ft long, and 5ft5 \mathrm{ft}5ft high. How many cubic feet does the shed contain?

Find the volume of the sphere or the cylinder. Use π=3.14\pi=3.14π=3.14 when needed. Round to the nearest thousandth if necessary. -

Solve the problem. -What will it cost to buy ceiling molding to go around a rectangular room with length 15ft15 \mathrm{ft}15ft and width 10ft10 \mathrm{ft}10ft ? The molding costs $2.93\$ 2.93$2.93 per linear foot.

Find area of circle. (Use 3.14 for π\piπ ) -A circle whose radius is 10yd10 \mathrm{yd}10yd

Approximate the square root. Round to the nearest tenth, if needed. - 6889\sqrt{6889}6889​

Find area of figure. Round to the nearest hundredth if necessary. - (Use 3.14 for π\piπ .)

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. -a =3yd,b=3yd=3 y d, b=3 y d=3yd,b=3yd

Find area of figure. Round to the nearest hundredth if necessary. -

Find the measure of the requested angle. -What is the measure of the angle that is supplementary to 119∘119^{\circ}119∘ ?

Solve area problem. -A rectangular sheet of paper is 54in54 \mathrm{in}54in . by 39in39 \mathrm{in}39in . An area in the shape of a parallelogram with a height of 11in11 \mathrm{in}11in . and a base of 22in22 \mathrm{in}22in . is cut from the paper. How much paper is left over?

Find the perimeter or circumference. Use π≈3.14\pi \approx 3.14π≈3.14 when needed. -A circle whose diameter is 3.4 mi long (Round to three decimal places.)

Find the perimeter or circumference. -A square with side 6.7yd6.7 \mathrm{yd}6.7yd

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Solve the problem. -Joe's garden is fenced in and is a square. In the center is a sprinkler that is $57 \mathrm{ft}$ from the front corner. How far is the sprinkler from the back corner? Round to the nearest hundredth when necessary.

Choose the appropriate sketch and description for the indicated geometric object. -Equilateral $\triangle \mathrm{ABC}$

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - $a=30 \mathrm{~cm}, \mathrm{c}=50 \mathrm{~cm}$

Solve the problem. Use 3.14 as the approximate value of $\pi$ . Round to the nearest tenth unless instructed otherwise. -Three people build a rectangular shed $6 \mathrm{ft}$ wide, $4 \mathrm{ft}$ long, and $5 \mathrm{ft}$ high. How many cubic feet does the shed contain?

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary. - $Find the volume of the sphere or the cylinder. Use \pi=3.14 when needed. Round to the nearest thousandth if necessary. -$

Solve the problem. -What will it cost to buy ceiling molding to go around a rectangular room with length $15 \mathrm{ft}$ and width $10 \mathrm{ft}$ ? The molding costs $\$ 2.93$ per linear foot.

Find area of circle. (Use 3.14 for $\pi$ ) -A circle whose radius is $10 \mathrm{yd}$

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{6889}$

Find area of figure. Round to the nearest hundredth if necessary. - $Find area of figure. Round to the nearest hundredth if necessary. - (Use 3.14 for \pi .)$ (Use 3.14 for $\pi$ .)

In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. -a $=3 y d, b=3 y d$

Find the measure of the requested angle. -What is the measure of the angle that is supplementary to $119^{\circ}$ ?

Solve area problem. -A rectangular sheet of paper is $54 \mathrm{in}$ . by $39 \mathrm{in}$ . An area in the shape of a parallelogram with a height of $11 \mathrm{in}$ . and a base of $22 \mathrm{in}$ . is cut from the paper. How much paper is left over?

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. -A circle whose diameter is 3.4 mi long (Round to three decimal places.)

Find the perimeter or circumference. -A square with side $6.7 \mathrm{yd}$