Question 1

Use a proportion to solve the problem. Round to the nearest tenth as needed.
-Find the length, L, of the lake. Assume that the two triangles are similar.

Accepted Answer

A)  $28.3 \mathrm{~m}$ 
B)  $255 \mathrm{~m}$ 
C)  $425 \mathrm{~m}$ 
D)  $7225 \mathrm{~m}$ 
A)  $28.3 \mathrm{~m}$ 
B)  $255 \mathrm{~m}$ 
C)  $425 \mathrm{~m}$ 
D)  $7225 \mathrm{~m}$

Question 2

Determine between which two consecutive whole numbers each square root lies.
-$\sqrt{18}$

Accepted Answer

A)  4 and 5 
B)  5 and 6 
C)  8 and 9 
D)  3 and 4 
A)  4 and 5 
B)  5 and 6 
C)  8 and 9 
D)  3 and 4

Question 3

Choose the appropriate sketch and description for the indicated geometric object.
-Circle with center $P$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 4

Solve. Use $\pi \approx 3.14$ when necessary.
-A board foot is a special measure of volume used in the lumber industry. If a board foot contains 144 cubic inches of wood, how many board feet would be in a piece of wood that is 4 in. $\times 5$ in. $\times 68$ in.? Round to the nearest tenth.

Accepted Answer

A)  0.1 board $\mathrm{ft}$ 
B)  9.4 board $\mathrm{ft}$ 
C)  113.3 board $\mathrm{ft}$ 
D)  195,840 board ft 
A)  0.1 board $\mathrm{ft}$ 
B)  9.4 board $\mathrm{ft}$ 
C)  113.3 board $\mathrm{ft}$ 
D)  195,840 board ft

Question 5

Find area of figure. Round to the nearest hundredth if necessary.
-Find the area of a square measuring $52 \mathrm{~km}$ on a side.

Accepted Answer

A)  $104 \mathrm{~km}^{2}$ 
B)  $208 \mathrm{~km}^{2}$ 
C)  $2704 \mathrm{~km}^{2}$ 
D)  $5408 \mathrm{~km}^{2}$ 
A)  $104 \mathrm{~km}^{2}$ 
B)  $208 \mathrm{~km}^{2}$ 
C)  $2704 \mathrm{~km}^{2}$ 
D)  $5408 \mathrm{~km}^{2}$

Question 6

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed.
-An equilateral triangle with side $25 \mathrm{ft}$

Accepted Answer

A)  $75 \mathrm{ft}$ 
B)  $74 \mathrm{ft}$ 
C)  $50 \mathrm{ft}$ 
D)  $312.5 \mathrm{ft}$ 
A)  $75 \mathrm{ft}$ 
B)  $74 \mathrm{ft}$ 
C)  $50 \mathrm{ft}$ 
D)  $312.5 \mathrm{ft}$

Question 7

Solve the problem. Use 3.14 as the approximate value of $\pi$. Round to the nearest tenth unless instructed otherwise.
-The interior of a one story office building measures $51 \mathrm{ft}$ by $102 \mathrm{ft}$ and has $10 \mathrm{ft}$ ceilings. If $20 \%$ of the space is devoted to hallways, how many $2,000 \mathrm{ft}^{3}$ offices can it contain? Do not include partial offices.

Accepted Answer

A)  26 offices 
B)  Not enough information to solve. 
C)  41,616 offices 
D)  20 offices 
A)  26 offices 
B)  Not enough information to solve. 
C)  41,616 offices 
D)  20 offices

Question 8

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.
-$a=1 \mathrm{ft}, \mathrm{b}=6 \mathrm{ft}$

Accepted Answer

A)  $\mathrm{c} \approx 2.6 \mathrm{ft}$ 
B)  $\mathrm{c} \approx 5.9 \mathrm{ft}$ 
C)  $c=7 \mathrm{ft}$ 
D)  $\mathrm{c} \approx 6.1 \mathrm{ft}$ 
A)  $\mathrm{c} \approx 2.6 \mathrm{ft}$ 
B)  $\mathrm{c} \approx 5.9 \mathrm{ft}$ 
C)  $c=7 \mathrm{ft}$ 
D)  $\mathrm{c} \approx 6.1 \mathrm{ft}$

Question 9

Solve the problem.
-You wish to make a triangular garden. One of the angles is $42^{\circ}$. The second angle is complementary to the first angle. What is the measure of the third angle?

Accepted Answer

A)  $90^{\circ}$ 
B)  $96^{\circ}$ 
C)  $48^{\circ}$ 
D)  $45^{\circ}$ 
A)  $90^{\circ}$ 
B)  $96^{\circ}$ 
C)  $48^{\circ}$ 
D)  $45^{\circ}$

Question 10

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

Accepted Answer

A)  $32.84 \mathrm{~m}$ 
B)  $25.84 \mathrm{~m}$ 
C)  $51.68 \mathrm{~m}$ 
D)  $44.68 \mathrm{~m}$ 
A)  $32.84 \mathrm{~m}$ 
B)  $25.84 \mathrm{~m}$ 
C)  $51.68 \mathrm{~m}$ 
D)  $44.68 \mathrm{~m}$

Question 11

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary.
-A sphere with radius $4.0 \mathrm{~cm}$.

Accepted Answer

A)  $150.72 \mathrm{~cm}^{3}$ 
B)  $267.947 \mathrm{~cm}^{3}$ 
C)  $2143.573 \mathrm{~cm}^{3}$ 
D)  $66.987 \mathrm{~cm}^{3}$ 
A)  $150.72 \mathrm{~cm}^{3}$ 
B)  $267.947 \mathrm{~cm}^{3}$ 
C)  $2143.573 \mathrm{~cm}^{3}$ 
D)  $66.987 \mathrm{~cm}^{3}$

Question 12

Find the volume of the composite figure. Round to the nearest hundredth if necessary.
-Largest possible sphere removed from cube
 
(Use 3.14 for $\pi$.)

Accepted Answer

A)  $3.81 \mathrm{~cm}^{3}$ 
B)  $12.19 \mathrm{~cm}^{3}$ 
C)  $4.19 \mathrm{~cm}^{3}$ 
D)  $8 \mathrm{~cm}^{3}$ 
A)  $3.81 \mathrm{~cm}^{3}$ 
B)  $12.19 \mathrm{~cm}^{3}$ 
C)  $4.19 \mathrm{~cm}^{3}$ 
D)  $8 \mathrm{~cm}^{3}$

Question 13

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed.
-A square with side 1.5 in.

Accepted Answer

A)  6 in. 
B)  4.5 in. 
C)  16 in. 
D)  3 in. 
A)  6 in. 
B)  4.5 in. 
C)  16 in. 
D)  3 in.

Question 14

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

Accepted Answer

A)  $118^{\circ}$ 
B)  $28^{\circ}$ 
C)  $152^{\circ}$ 
D)  $62^{\circ}$ 
A)  $118^{\circ}$ 
B)  $28^{\circ}$ 
C)  $152^{\circ}$ 
D)  $62^{\circ}$

Question 15

Find the volume.
-

Accepted Answer

A)  $841 \mathrm{~m}^{3}$ 
B)  $24,389 \mathrm{~m}^{3}$ 
C)  $1682 \mathrm{~m}^{3}$ 
D)  $87 \mathrm{~m}^{3}$ 
A)  $841 \mathrm{~m}^{3}$ 
B)  $24,389 \mathrm{~m}^{3}$ 
C)  $1682 \mathrm{~m}^{3}$ 
D)  $87 \mathrm{~m}^{3}$

Question 16

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)  $23,864 \mathrm{~cm}^{3}$ 
B)  $5966 \mathrm{~cm}^{3}$ 
C)  $596.6 \mathrm{~cm}^{3}$ 
D)  $1193.2 \mathrm{~cm}^{3}$ 
A)  $23,864 \mathrm{~cm}^{3}$ 
B)  $5966 \mathrm{~cm}^{3}$ 
C)  $596.6 \mathrm{~cm}^{3}$ 
D)  $1193.2 \mathrm{~cm}^{3}$

Question 17

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

Accepted Answer

A)  $34.54 \mathrm{mi}^{2}$ 
B)  $94.985 \mathrm{mi}^{2}$ 
C)  $69.08 \mathrm{mi}^{2}$ 
D)  $379.94 \mathrm{mi}^{2}$ 
A)  $34.54 \mathrm{mi}^{2}$ 
B)  $94.985 \mathrm{mi}^{2}$ 
C)  $69.08 \mathrm{mi}^{2}$ 
D)  $379.94 \mathrm{mi}^{2}$

Question 18

Find the measure of the requested angle.
-Find the complement of $41^{\circ}$

Accepted Answer

A)  $49^{\circ}$ 
B)  $229^{\circ}$ 
C)  $319^{\circ}$ 
D)  $139^{\circ}$ 
A)  $49^{\circ}$ 
B)  $229^{\circ}$ 
C)  $319^{\circ}$ 
D)  $139^{\circ}$

Question 19

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed.
- 
Equilateral triangle

Accepted Answer

A)  $312.5 \mathrm{yd}$ 
B)  $74 \mathrm{yd}$ 
C)  $50 \mathrm{yd}$ 
D)  $75 \mathrm{yd}$ 
A)  $312.5 \mathrm{yd}$ 
B)  $74 \mathrm{yd}$ 
C)  $50 \mathrm{yd}$ 
D)  $75 \mathrm{yd}$

Question 20

Find the perimeter or circumference.
-

Accepted Answer

A)  $16 \mathrm{~cm}$ 
B)  $4 \mathrm{~cm}$ 
C)  $20 \mathrm{~cm}$ 
D)  $10 \mathrm{~cm}$ 
A)  $16 \mathrm{~cm}$ 
B)  $4 \mathrm{~cm}$ 
C)  $20 \mathrm{~cm}$ 
D)  $10 \mathrm{~cm}$

Use a proportion to solve the problem. Round to the nearest tenth as needed. -Find the length, L, of the lake. Assume that the two triangles are similar.

Determine between which two consecutive whole numbers each square root lies. - $\sqrt{18}$

Choose the appropriate sketch and description for the indicated geometric object. -Circle with center $P$

Solve. Use $\pi \approx 3.14$ when necessary. -A board foot is a special measure of volume used in the lumber industry. If a board foot contains 144 cubic inches of wood, how many board feet would be in a piece of wood that is 4 in. $\times 5$ in. $\times 68$ in.? Round to the nearest tenth.

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a square measuring $52 \mathrm{~km}$ on a side.

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. -An equilateral triangle with side $25 \mathrm{ft}$

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. - $a=1 \mathrm{ft}, \mathrm{b}=6 \mathrm{ft}$

Solve the problem. -You wish to make a triangular garden. One of the angles is $42^{\circ}$ . The second angle is complementary to the first angle. What is the measure of the third angle?

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

Find the volume of the sphere or the cylinder. Use $\pi=3.14$ when needed. Round to the nearest thousandth if necessary. -A sphere with radius $4.0 \mathrm{~cm}$ .

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. -A square with side 1.5 in.

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

Find the volume. -

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

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 measure of the requested angle. -Find the complement of $41^{\circ}$

Find the perimeter or circumference. Use $\pi \approx 3.14$ when needed. - $Find the perimeter or circumference. Use \pi \approx 3.14 when needed. - Equilateral triangle$ Equilateral triangle

Find the perimeter or circumference. -

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Exam 11: Basic Geometry

Use a proportion to solve the problem. Round to the nearest tenth as needed. -Find the length, L, of the lake. Assume that the two triangles are similar.

Determine between which two consecutive whole numbers each square root lies. - 18\sqrt{18}18​

Choose the appropriate sketch and description for the indicated geometric object. -Circle with center PPP

Find area of figure. Round to the nearest hundredth if necessary. -Find the area of a square measuring 52 km52 \mathrm{~km}52 km on a side.

Find the perimeter or circumference. Use π≈3.14\pi \approx 3.14π≈3.14 when needed. -An equilateral triangle with side 25ft25 \mathrm{ft}25ft

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=1ft,b=6fta=1 \mathrm{ft}, \mathrm{b}=6 \mathrm{ft}a=1ft,b=6ft

Solve the problem. -You wish to make a triangular garden. One of the angles is 42∘42^{\circ}42∘ . The second angle is complementary to the first angle. What is the measure of the third angle?

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

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 sphere with radius 4.0 cm4.0 \mathrm{~cm}4.0 cm .

Find the volume of the composite figure. Round to the nearest hundredth if necessary. -Largest possible sphere removed from cube (Use 3.14 for π\piπ .)

Find the perimeter or circumference. Use π≈3.14\pi \approx 3.14π≈3.14 when needed. -A square with side 1.5 in.