Question 1

Find the volume of the composite figure. Round to the nearest hundredth if necessary.
-Cylinder with Spherical Dome

Accepted Answer

A)  $1243.44 \mathrm{~cm}^{3}$ 
B)  $-320.28 \mathrm{~cm}^{3}$ 
C)  $1168.08 \mathrm{~cm}^{3}$ 
D)  $244.92 \mathrm{~cm}^{3}$ 
A)  $1243.44 \mathrm{~cm}^{3}$ 
B)  $-320.28 \mathrm{~cm}^{3}$ 
C)  $1168.08 \mathrm{~cm}^{3}$ 
D)  $244.92 \mathrm{~cm}^{3}$

Question 2

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary.
-A cylinder with diameter $10 \mathrm{~cm}$ and height $8.1 \mathrm{~cm}$.

Accepted Answer

A)  $411.34 \mathrm{~cm}^{3}$ 
B)  $205.67 \mathrm{~cm}^{3}$ 
C)  $284.17 \mathrm{~cm}^{3}$ 
D)  $635.85 \mathrm{~cm}^{3}$ 
A)  $411.34 \mathrm{~cm}^{3}$ 
B)  $205.67 \mathrm{~cm}^{3}$ 
C)  $284.17 \mathrm{~cm}^{3}$ 
D)  $635.85 \mathrm{~cm}^{3}$

Question 3

Solve area problem.
-A room measures $13 \mathrm{ft}$ by $21 \mathrm{ft}$. The ceiling is $12 \mathrm{ft}$ above the floor. the door is $3 \mathrm{ft}$ by $7 \mathrm{ft}$. A gallon of paint will cover $88.1 \mathrm{ft}^{2}$. How many gallons of paint are needed to paint the room (including the ceiling and not including the door). Round you answer up the the next whole number.

Accepted Answer

A)  3 gallons 
B)  10 gallons 
C)  22 gallons 
D)  13 gallons 
A)  3 gallons 
B)  10 gallons 
C)  22 gallons 
D)  13 gallons

Question 4

Find the perimeter. Use 3.14 for $\pi$ when needed.
-

Accepted Answer

A)  18.42 in. 
B)  $16.71 \mathrm{in}$. 
C)  $13.71 \mathrm{in}$. 
D)  $21.42 \mathrm{in}$. 
A)  18.42 in. 
B)  $16.71 \mathrm{in}$. 
C)  $13.71 \mathrm{in}$. 
D)  $21.42 \mathrm{in}$.

Question 5

The two triangles below are similar. Find the length of any missing side.
-

Accepted Answer

A)  x = 40 
B)  x = 32 
C)  x = 50 
D)  x = 38 
A)  x = 40 
B)  x = 32 
C)  x = 50 
D)  x = 38

Question 6

Solve. Use $\pi \approx 3.14$ when necessary.
-An airplane flying due south is 300 miles from the airport. Another airplane flying due west is 325 miles from the airport. How far apart are the two airplanes? Round to the nearest mile.

Accepted Answer

A)  $97,500 \mathrm{mi}$ 
B)  $195,364 \mathrm{mi}$ 
C)  $625 \mathrm{mi}$ 
D)  $442 \mathrm{mi}$ 
A)  $97,500 \mathrm{mi}$ 
B)  $195,364 \mathrm{mi}$ 
C)  $625 \mathrm{mi}$ 
D)  $442 \mathrm{mi}$

Question 7

Find area of figure. Round to the nearest hundredth if necessary.
-Find the area of a square measuring $35.2 \mathrm{~m}$ on a side.

Accepted Answer

A)  $70.4 \mathrm{~m}^{2}$ 
B)  $140.8 \mathrm{~m}^{2}$ 
C)  $2478.08 \mathrm{~m}^{2}$ 
D)  $1239.04 \mathrm{~m}^{2}$ 
A)  $70.4 \mathrm{~m}^{2}$ 
B)  $140.8 \mathrm{~m}^{2}$ 
C)  $2478.08 \mathrm{~m}^{2}$ 
D)  $1239.04 \mathrm{~m}^{2}$

Question 8

Find the measure of the requested angle.
-Find the supplement of $40^{\circ}$.

Accepted Answer

A)  $230^{\circ}$ 
B)  $320^{\circ}$ 
C)  $140^{\circ}$ 
D)  $50^{\circ}$ 
A)  $230^{\circ}$ 
B)  $320^{\circ}$ 
C)  $140^{\circ}$ 
D)  $50^{\circ}$

Question 9

Find area of circle. (Use 3.14 for $\pi$ )
-Find the area. Use 3.14 for $\pi$.

Accepted Answer

A)  $13.19585 \mathrm{in.}^{2}$ 
B)  $25.748 \mathrm{in.}^{2}$ 
C)  52.7834 in. $^{2}$ 
D)  12.874 in. $^{2}$ 
A)  $13.19585 \mathrm{in.}^{2}$ 
B)  $25.748 \mathrm{in.}^{2}$ 
C)  52.7834 in. $^{2}$ 
D)  12.874 in. $^{2}$

Question 10

The two triangles below are similar. Find the length of any missing side.
-

Accepted Answer

A)  $x=1.60 ; y=3.6$ 
B)  $x=5.6 ; y=3.9$ 
C)  $\mathrm{x}=4.9 ; \mathrm{y}=3.9$ 
D)  $x=4.9 ; y=3.6$ 
A)  $x=1.60 ; y=3.6$ 
B)  $x=5.6 ; y=3.9$ 
C)  $\mathrm{x}=4.9 ; \mathrm{y}=3.9$ 
D)  $x=4.9 ; y=3.6$

Question 11

Find the perimeter or circumference.
-A polygon with sides $11 \mathrm{ft}, 7 \mathrm{ft}, 18 \mathrm{ft}, 22 \mathrm{ft}, 14 \mathrm{ft}$, and $23.5 \mathrm{ft}$

Accepted Answer

A)  $0.61 \mathrm{ft}$ 
B)  $15.92 \mathrm{ft}$ 
C)  $\frac{191}{4} \mathrm{ft}$ 
D)  $95.5 \mathrm{ft}$ 
A)  $0.61 \mathrm{ft}$ 
B)  $15.92 \mathrm{ft}$ 
C)  $\frac{191}{4} \mathrm{ft}$ 
D)  $95.5 \mathrm{ft}$

Question 12

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed.
- 
Round to one decimal place.

Accepted Answer

A)  $63.6 \mathrm{mi}$ 
B)  $56.5 \mathrm{mi}$ 
C)  $14.1 \mathrm{mi}$ 
D)  $28.3 \mathrm{mi}$ 
A)  $63.6 \mathrm{mi}$ 
B)  $56.5 \mathrm{mi}$ 
C)  $14.1 \mathrm{mi}$ 
D)  $28.3 \mathrm{mi}$

Question 13

Approximate the square root. Round to the nearest tenth, if needed.
-$\sqrt{12}$

Accepted Answer

A)  3.4 
B)  3.6 
C)  4.5 
D)  3.5 
A)  3.4 
B)  3.6 
C)  4.5 
D)  3.5

Question 14

Solve the problem. Use 3.14 as the approximate value of $\pi$. Round to the nearest tenth unless instructed otherwise.
-A certain marine engine has cylinders that are 4.64 inches in diameter and 5.17 inches deep. Find the total volume of 6 cylinders.

Accepted Answer

A)  524.3 inches $^{3}$ 
B)  87.4 inches $^{3}$ 
C)  1048.5 inches $^{3}$ 
D)  903.9 inches $^{3}$ 
A)  524.3 inches $^{3}$ 
B)  87.4 inches $^{3}$ 
C)  1048.5 inches $^{3}$ 
D)  903.9 inches $^{3}$

Question 15

Find the measure of the requested angle.
-In $\triangle \mathrm{ABC}, \angle \mathrm{A}=57^{\circ}, \angle \mathrm{B}=33^{\circ}$. Find the measure of $\angle \mathrm{C}$.

Accepted Answer

A)  $270^{\circ}$ 
B)  $90^{\circ}$ 
C)  $0^{\circ}$ 
D)  $24^{\circ}$ 
A)  $270^{\circ}$ 
B)  $90^{\circ}$ 
C)  $0^{\circ}$ 
D)  $24^{\circ}$

Question 16

Find the perimeter. Use 3.14 for $\pi$ when needed.
-

Accepted Answer

A)  $54 \mathrm{yd}$ 
B)  $76 \mathrm{yd}$ 
C)  $128 \mathrm{yd}$ 
D)  $72 \mathrm{yd}$ 
A)  $54 \mathrm{yd}$ 
B)  $76 \mathrm{yd}$ 
C)  $128 \mathrm{yd}$ 
D)  $72 \mathrm{yd}$

Question 17

Approximate the square root. Round to the nearest tenth, if needed.
-$\sqrt{700}$

Accepted Answer

A)  26.6 
B)  26.5 
C)  26.3 
D)  26.4 
A)  26.6 
B)  26.5 
C)  26.3 
D)  26.4

Question 18

Find area of figure. Round to the nearest hundredth if necessary.
-Of a trapezoid with short base of $21 \mathrm{yd}$, long base of $30 \mathrm{yd}$, and height of $11 \mathrm{yd}$

Accepted Answer

A)  $315 \mathrm{yd}^{2}$ 
B)  $280.5 \mathrm{yd}^{2}$ 
C)  $165 \mathrm{yd}^{2}$ 
D)  $561 \mathrm{yd}^{2}$ 
A)  $315 \mathrm{yd}^{2}$ 
B)  $280.5 \mathrm{yd}^{2}$ 
C)  $165 \mathrm{yd}^{2}$ 
D)  $561 \mathrm{yd}^{2}$

Question 19

Find the measure of the requested angle.
-Find the supplement of $138^{\circ}$.

Accepted Answer

A)  Not possible 
B)  $132^{\circ}$ 
C)  $42^{\circ}$ 
D)  $222^{\circ}$ 
A)  Not possible 
B)  $132^{\circ}$ 
C)  $42^{\circ}$ 
D)  $222^{\circ}$

Question 20

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

Accepted Answer

A)  $23 \mathrm{ft}^{2}$ 
B)  $36 \mathrm{ft}^{2}$ 
C)  $90 \mathrm{ft}^{2}$ 
D)  $45 \mathrm{ft}^{2}$ 
A)  $23 \mathrm{ft}^{2}$ 
B)  $36 \mathrm{ft}^{2}$ 
C)  $90 \mathrm{ft}^{2}$ 
D)  $45 \mathrm{ft}^{2}$

Find the volume of the composite figure. Round to the nearest hundredth if necessary. -Cylinder with Spherical Dome

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary. -A cylinder with diameter $10 \mathrm{~cm}$ and height $8.1 \mathrm{~cm}$ .

Find the perimeter. Use 3.14 for $\pi$ when needed. - $Find the perimeter. Use 3.14 for \pi when needed. -$

The two triangles below are similar. Find the length of any missing side. -

Solve. Use $\pi \approx 3.14$ when necessary. -An airplane flying due south is 300 miles from the airport. Another airplane flying due west is 325 miles from the airport. How far apart are the two airplanes? Round to the nearest mile.

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a square measuring $35.2 \mathrm{~m}$ on a side.

Find the measure of the requested angle. -Find the supplement of $40^{\circ}$ .

Find area of circle. (Use 3.14 for $\pi$ ) -Find the area. Use 3.14 for $\pi$ . $Find area of circle. (Use 3.14 for \pi ) -Find the area. Use 3.14 for \pi .$

The two triangles below are similar. Find the length of any missing side. -

Find the perimeter or circumference. -A polygon with sides $11 \mathrm{ft}, 7 \mathrm{ft}, 18 \mathrm{ft}, 22 \mathrm{ft}, 14 \mathrm{ft}$ , and $23.5 \mathrm{ft}$

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. - $Find the perimeter or circumference. Use \pi \approx 3.14 when needed. - Round to one decimal place.$ Round to one decimal place.

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{12}$

Solve the problem. Use 3.14 as the approximate value of $\pi$ . Round to the nearest tenth unless instructed otherwise. -A certain marine engine has cylinders that are 4.64 inches in diameter and 5.17 inches deep. Find the total volume of 6 cylinders.

Find the measure of the requested angle. -In $\triangle \mathrm{ABC}, \angle \mathrm{A}=57^{\circ}, \angle \mathrm{B}=33^{\circ}$ . Find the measure of $\angle \mathrm{C}$ .

Find the perimeter. Use 3.14 for $\pi$ when needed. - $Find the perimeter. Use 3.14 for \pi when needed. -$

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{700}$

Find area of figure. Round to the nearest hundredth if necessary. -Of a trapezoid with short base of $21 \mathrm{yd}$ , long base of $30 \mathrm{yd}$ , and height of $11 \mathrm{yd}$

Find the measure of the requested angle. -Find the supplement of $138^{\circ}$ .

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

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Exam 11: Basic Geometry

Find the volume of the composite figure. Round to the nearest hundredth if necessary. -Cylinder with Spherical Dome

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. -A cylinder with diameter 10 cm10 \mathrm{~cm}10 cm and height 8.1 cm8.1 \mathrm{~cm}8.1 cm .

Find the perimeter. Use 3.14 for π\piπ when needed. -

The two triangles below are similar. Find the length of any missing side. -

Solve. Use π≈3.14\pi \approx 3.14π≈3.14 when necessary. -An airplane flying due south is 300 miles from the airport. Another airplane flying due west is 325 miles from the airport. How far apart are the two airplanes? Round to the nearest mile.

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a square measuring 35.2 m35.2 \mathrm{~m}35.2 m on a side.

Find the measure of the requested angle. -Find the supplement of 40∘40^{\circ}40∘ .

Find area of circle. (Use 3.14 for π\piπ ) -Find the area. Use 3.14 for π\piπ .

The two triangles below are similar. Find the length of any missing side. -

Find the perimeter or circumference. -A polygon with sides 11ft,7ft,18ft,22ft,14ft11 \mathrm{ft}, 7 \mathrm{ft}, 18 \mathrm{ft}, 22 \mathrm{ft}, 14 \mathrm{ft}11ft,7ft,18ft,22ft,14ft , and 23.5ft23.5 \mathrm{ft}23.5ft

Find the perimeter or circumference. Use π≈3.14\pi \approx 3.14π≈3.14 when needed. - Round to one decimal place.

Approximate the square root. Round to the nearest tenth, if needed. - 12\sqrt{12}12​

Solve the problem. Use 3.14 as the approximate value of π\piπ . Round to the nearest tenth unless instructed otherwise. -A certain marine engine has cylinders that are 4.64 inches in diameter and 5.17 inches deep. Find the total volume of 6 cylinders.

Find the measure of the requested angle. -In △ABC,∠A=57∘,∠B=33∘\triangle \mathrm{ABC}, \angle \mathrm{A}=57^{\circ}, \angle \mathrm{B}=33^{\circ}△ABC,∠A=57∘,∠B=33∘ . Find the measure of ∠C\angle \mathrm{C}∠C .

Find the perimeter. Use 3.14 for π\piπ when needed. -

Approximate the square root. Round to the nearest tenth, if needed. - 700\sqrt{700}700​

Find area of figure. Round to the nearest hundredth if necessary. -Of a trapezoid with short base of 21yd21 \mathrm{yd}21yd , long base of 30yd30 \mathrm{yd}30yd , and height of 11yd11 \mathrm{yd}11yd

Find the measure of the requested angle. -Find the supplement of 138∘138^{\circ}138∘ .

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

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Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary. -A cylinder with diameter $10 \mathrm{~cm}$ and height $8.1 \mathrm{~cm}$ .

Find the perimeter. Use 3.14 for $\pi$ when needed. - $Find the perimeter. Use 3.14 for \pi when needed. -$

Solve. Use $\pi \approx 3.14$ when necessary. -An airplane flying due south is 300 miles from the airport. Another airplane flying due west is 325 miles from the airport. How far apart are the two airplanes? Round to the nearest mile.

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a square measuring $35.2 \mathrm{~m}$ on a side.

Find the measure of the requested angle. -Find the supplement of $40^{\circ}$ .

Find area of circle. (Use 3.14 for $\pi$ ) -Find the area. Use 3.14 for $\pi$ . $Find area of circle. (Use 3.14 for \pi ) -Find the area. Use 3.14 for \pi .$

Find the perimeter or circumference. -A polygon with sides $11 \mathrm{ft}, 7 \mathrm{ft}, 18 \mathrm{ft}, 22 \mathrm{ft}, 14 \mathrm{ft}$ , and $23.5 \mathrm{ft}$

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. - $Find the perimeter or circumference. Use \pi \approx 3.14 when needed. - Round to one decimal place.$ Round to one decimal place.

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{12}$

Solve the problem. Use 3.14 as the approximate value of $\pi$ . Round to the nearest tenth unless instructed otherwise. -A certain marine engine has cylinders that are 4.64 inches in diameter and 5.17 inches deep. Find the total volume of 6 cylinders.

Find the measure of the requested angle. -In $\triangle \mathrm{ABC}, \angle \mathrm{A}=57^{\circ}, \angle \mathrm{B}=33^{\circ}$ . Find the measure of $\angle \mathrm{C}$ .

Find the perimeter. Use 3.14 for $\pi$ when needed. - $Find the perimeter. Use 3.14 for \pi when needed. -$

Approximate the square root. Round to the nearest tenth, if needed. - $\sqrt{700}$

Find area of figure. Round to the nearest hundredth if necessary. -Of a trapezoid with short base of $21 \mathrm{yd}$ , long base of $30 \mathrm{yd}$ , and height of $11 \mathrm{yd}$

Find the measure of the requested angle. -Find the supplement of $138^{\circ}$ .