Question 1

The length of the base of a triangle is 3.5 km. The height is 3.7 km. Find the area of the triangle.

Accepted Answer

A)  12.95 km2 
B)  25.90 km2 
C)  6.48 km2 
D)  45.33 km2 
E)  6.80 km2 
A)  12.95 km2 
B)  25.90 km2 
C)  6.48 km2 
D)  45.33 km2 
E)  6.80 km2 C

Question 2

Find x.

Accepted Answer

A)  13° 
B)  14° 
C)  11° 
D)  8° 
E)  29° 
A)  13° 
B)  14° 
C)  11° 
D)  8° 
E)  29° C

Question 3

Find the surface area of the cylinder. Give both the exact value and an approximation to the nearest hundredth.

Accepted Answer

A)    ; 263.89 in2 
B)    ; 301.59 in2 
C)    ; 188.50 in2 
D)    ; 226.19 in2 
E)    ; 75.40 in2 
A)    ; 263.89 in2 
B)    ; 301.59 in2 
C)    ; 188.50 in2 
D)    ; 226.19 in2 
E)    ; 75.40 in2 B

Question 4

Given TU = 4 m and UV is 5 times the length of TU, find the length of TV.

Accepted Answer

A)  20 m 
B)  25 m 
C)  21 m 
D)  24 m 
E)  10 m 
A)  20 m 
B)  25 m 
C)  21 m 
D)  24 m 
E)  10 m

Question 5

Given   is a right angle, find the measurement of   .

Accepted Answer

A)  70° 
B)  55° 
C)  110° 
D)  35° 
E)  45° 
A)  70° 
B)  55° 
C)  110° 
D)  35° 
E)  45°

Question 6

The length of each of two sides of an isosceles triangle is   cm. The third side measures   cm. Find the perimeter of the triangle.

Accepted Answer

A)    cm 
B)    cm 
C)    cm 
D)    cm 
E)    cm 
A)    cm 
B)    cm 
C)    cm 
D)    cm 
E)    cm

Question 7

Find the area of a square flower garden that measures 19 ft on each side.

Accepted Answer

A)  361 ft2 
B)  722 ft2 
C)  76 ft2 
D)  1444 ft2 
E)  38 ft2 
A)  361 ft2 
B)  722 ft2 
C)  76 ft2 
D)  1444 ft2 
E)  38 ft2

Question 8

The height of a rectangular solid is 12 cm. The length is 8 cm, and the width is 6 cm. Find the surface area of the solid.

Accepted Answer

A)  216 cm2 
B)  576 cm2 
C)  432 cm2 
D)  336 cm2 
E)  1,152 cm2 
A)  216 cm2 
B)  576 cm2 
C)  432 cm2 
D)  336 cm2 
E)  1,152 cm2

Question 9

Classify the triangle as acute, obtuse, or right.

Accepted Answer

A)  acute 
B)  obtuse 
C)  right 
A)  acute 
B)  obtuse 
C)  right

Question 10

The radius of a circle is 9 cm. Find the area of the circle. Give the exact value.

Accepted Answer

A)  162 $\pi$ cm2 
B)  9 $\pi$ cm2 
C)  18F $\pi$ cm2 
D)  324 $\pi$ cm2 
E)  81 $\pi$ cm2 
A)  162 $\pi$ cm2 
B)  9 $\pi$ cm2 
C)  18F $\pi$ cm2 
D)  324 $\pi$ cm2 
E)  81 $\pi$ cm2

Question 11

Find the area of the circle. Give both the exact value and an approximation to the nearest hundredth.

Accepted Answer

A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;   
A)    ;   
B)    ;   
C)    ;   
D)    ;   
E)    ;

Question 12

Find the volume of a cube whose side measures 5.8 cm.

Accepted Answer

A)  195.112 cm3 
B)  33.640 cm3 
C)  201.840 cm3 
D)  1,170.672 cm3 
E)  192.712 cm3 
A)  195.112 cm3 
B)  33.640 cm3 
C)  201.840 cm3 
D)  1,170.672 cm3 
E)  192.712 cm3

Question 13

The length of a side of the base of a pyramid is 3 cm, and the slant height is 7 cm. How much larger is the surface area of this pyramid than the surface area of a cone with a diameter of 3 cm and a slant height of 7 cm? Round to the nearest hundredth.

Accepted Answer

A)  52.94 cm2 
B)  10.94 cm2 
C)  22.04 cm2 
D)  19.94 cm2 
E)  12.38 cm2 
A)  52.94 cm2 
B)  10.94 cm2 
C)  22.04 cm2 
D)  19.94 cm2 
E)  12.38 cm2

Question 14

Two angles of a triangle are 23° and 86°. Find the measure of the third angle.

Accepted Answer

A)  157° 
B)  94° 
C)  243° 
D)  71° 
E)  117° 
A)  157° 
B)  94° 
C)  243° 
D)  71° 
E)  117°

Question 15

Find x.

Accepted Answer

A)  40° 
B)  23° 
C)  20° 
D)  18° 
E)  9° 
A)  40° 
B)  23° 
C)  20° 
D)  18° 
E)  9°

Question 16

You are painting two walls of a store, one measuring 80 ft by 10 ft and the other measuring 60 ft by 10 ft. The paint costs $17.50 per gallon, and each gallon of paint will cover 200 ft2. What is the cost to paint the two walls?

Accepted Answer

A)  $59.50 
B)  $122.50 
C)  $152.50 
D)  $92.50 
E)  $420.00 
A)  $59.50 
B)  $122.50 
C)  $152.50 
D)  $92.50 
E)  $420.00

Question 17

The length of one base of a trapezoid is 18 cm, and the length of the other base is 16 cm. If the height is 11 cm, what is the area of the trapezoid?

Accepted Answer

A)  374 cm 
B)  187 cm 
C)  1584 cm 
D)  45 cm 
E)  748 cm 
A)  374 cm 
B)  187 cm 
C)  1584 cm 
D)  45 cm 
E)  748 cm

Question 18

An oil storage tank, which is in the shape of a cylinder, is 12 m high and has a diameter of 22 m. The oil storage tank is two-fifths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth.

Accepted Answer

A)  10,947.82 m3 
B)  4561.59 m3 
C)  2985.77 m3 
D)  2736.96 m3 
E)  4361.96 m3 
A)  10,947.82 m3 
B)  4561.59 m3 
C)  2985.77 m3 
D)  2736.96 m3 
E)  4361.96 m3

Question 19

The diameter of the base of a cylinder is 26 ft. The height of the cylinder is 24 ft. Find the volume of the cylinder. Round to the nearest hundredth.

Accepted Answer

A)  50,969.20 ft3 
B)  4056.00 ft3 
C)  23,524.25 ft3 
D)  12,742.30 ft3 
E)  980.18 ft3 
A)  50,969.20 ft3 
B)  4056.00 ft3 
C)  23,524.25 ft3 
D)  12,742.30 ft3 
E)  980.18 ft3

Question 20

Find the surface area of the figure.

Accepted Answer

A)  81 m2 
B)  36 m2 
C)  72 m2 
D)  27 m2 
E)  45 m2 
A)  81 m2 
B)  36 m2 
C)  72 m2 
D)  27 m2 
E)  45 m2

The length of the base of a triangle is 3.5 km. The height is 3.7 km. Find the area of the triangle.

Find x.

Find the surface area of the cylinder. Give both the exact value and an approximation to the nearest hundredth.

Given TU = 4 m and UV is 5 times the length of TU, find the length of TV.

Given is a right angle, find the measurement of .

The length of each of two sides of an isosceles triangle is cm. The third side measures cm. Find the perimeter of the triangle.

Find the area of a square flower garden that measures 19 ft on each side.

The height of a rectangular solid is 12 cm. The length is 8 cm, and the width is 6 cm. Find the surface area of the solid.

Classify the triangle as acute, obtuse, or right.

The radius of a circle is 9 cm. Find the area of the circle. Give the exact value.

Find the area of the circle. Give both the exact value and an approximation to the nearest hundredth.

Find the volume of a cube whose side measures 5.8 cm.

The length of a side of the base of a pyramid is 3 cm, and the slant height is 7 cm. How much larger is the surface area of this pyramid than the surface area of a cone with a diameter of 3 cm and a slant height of 7 cm? Round to the nearest hundredth.

Two angles of a triangle are 23° and 86°. Find the measure of the third angle.

Find x.

You are painting two walls of a store, one measuring 80 ft by 10 ft and the other measuring 60 ft by 10 ft. The paint costs $17.50 per gallon, and each gallon of paint will cover 200 ft². What is the cost to paint the two walls?

The length of one base of a trapezoid is 18 cm, and the length of the other base is 16 cm. If the height is 11 cm, what is the area of the trapezoid?

An oil storage tank, which is in the shape of a cylinder, is 12 m high and has a diameter of 22 m. The oil storage tank is two-fifths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth.

The diameter of the base of a cylinder is 26 ft. The height of the cylinder is 24 ft. Find the volume of the cylinder. Round to the nearest hundredth.

Find the surface area of the figure.

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Exam 3: Geometry

The length of the base of a triangle is 3.5 km. The height is 3.7 km. Find the area of the triangle.

Find x.

Find the surface area of the cylinder. Give both the exact value and an approximation to the nearest hundredth.

Given TU = 4 m and UV is 5 times the length of TU, find the length of TV.

Given is a right angle, find the measurement of .

The length of each of two sides of an isosceles triangle is cm. The third side measures cm. Find the perimeter of the triangle.

Find the area of a square flower garden that measures 19 ft on each side.

The height of a rectangular solid is 12 cm. The length is 8 cm, and the width is 6 cm. Find the surface area of the solid.

Classify the triangle as acute, obtuse, or right.

The radius of a circle is 9 cm. Find the area of the circle. Give the exact value.

Find the area of the circle. Give both the exact value and an approximation to the nearest hundredth.

Find the volume of a cube whose side measures 5.8 cm.

The length of a side of the base of a pyramid is 3 cm, and the slant height is 7 cm. How much larger is the surface area of this pyramid than the surface area of a cone with a diameter of 3 cm and a slant height of 7 cm? Round to the nearest hundredth.

Two angles of a triangle are 23° and 86°. Find the measure of the third angle.

Find x.

You are painting two walls of a store, one measuring 80 ft by 10 ft and the other measuring 60 ft by 10 ft. The paint costs $17.50 per gallon, and each gallon of paint will cover 200 ft2. What is the cost to paint the two walls?

The length of one base of a trapezoid is 18 cm, and the length of the other base is 16 cm. If the height is 11 cm, what is the area of the trapezoid?

An oil storage tank, which is in the shape of a cylinder, is 12 m high and has a diameter of 22 m. The oil storage tank is two-fifths full. Find the number of cubic meters of oil in the tank. Round to the nearest hundredth.

The diameter of the base of a cylinder is 26 ft. The height of the cylinder is 24 ft. Find the volume of the cylinder. Round to the nearest hundredth.

Find the surface area of the figure.

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

You are painting two walls of a store, one measuring 80 ft by 10 ft and the other measuring 60 ft by 10 ft. The paint costs $17.50 per gallon, and each gallon of paint will cover 200 ft². What is the cost to paint the two walls?