Question 1

Use the protractor to find the measure of ? GQC .

Accepted Answer

A)  $100 ^ { \circ }$ 
B)  $75 ^ { \circ }$ 
C)  $105 ^ { \circ }$ 
D)  $80 ^ { \circ }$ 
A)  $100 ^ { \circ }$ 
B)  $75 ^ { \circ }$ 
C)  $105 ^ { \circ }$ 
D)  $80 ^ { \circ }$

Question 2

Refer to the figure. Which of the following choices are interior angles?

Accepted Answer

A)  ∠8 
B)  ∠6 
C)  ∠7 
D)  ∠5 
E)  none of these 
A)  ∠8 
B)  ∠6 
C)  ∠7 
D)  ∠5 
E)  none of these

Question 3

What is a triangle with three angles of equal measure called?

Accepted Answer

A)  right 
B)  scalene 
C)  equilateral 
D)  isosceles 
E)  none of these 
A)  right 
B)  scalene 
C)  equilateral 
D)  isosceles 
E)  none of these

Question 4

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Accepted Answer

A)  72 
B)  30 
C)  176 
D)  104 
E)  none of these 
A)  72 
B)  30 
C)  176 
D)  104 
E)  none of these

Question 5

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in.   
__________ in $2$

Accepted Answer

The answer of Find the area of the circle to...

Question 6

Find the radius of the circle, if the diameter is 14.

Accepted Answer

A)  3.5 
B)  4.5 
C)  7 
D)  2.5 
E)  28 
A)  3.5 
B)  4.5 
C)  7 
D)  2.5 
E)  28

Question 7

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Accepted Answer

A)  3 
B)  2 
C)  1 
A)  3 
B)  2 
C)  1

Question 8

Match between columns
                        Premises: trapezoid
rhombus
rectangle
square

Accepted Answer

The Answer of Picture 2 and Picture 3 and Picture is...

Question 9

Find the sum of the angles of a polygon with 9 sides.

Accepted Answer

A)  $1,262 ^ { \circ }$ 
B)  $1,260 ^ { \circ }$ 
C)  $1,270 ^ { \circ }$ 
D)  $1,250 ^ { \circ }$ 
E)  none of these 
A)  $1,262 ^ { \circ }$ 
B)  $1,260 ^ { \circ }$ 
C)  $1,270 ^ { \circ }$ 
D)  $1,250 ^ { \circ }$ 
E)  none of these

Question 10

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Accepted Answer

A)  $212.06 \mathrm {~cm} ^ { 3 }$ 
B)  $3,316.81 \mathrm {~cm} ^ { 3 }$ 
C)  $282.74 \mathrm {~cm} ^ { 3 }$ 
D)  $424.12 \mathrm {~cm} ^ { 3 }$ 
E)  $848.23 \mathrm {~cm} ^ { 3 }$ 
A)  $212.06 \mathrm {~cm} ^ { 3 }$ 
B)  $3,316.81 \mathrm {~cm} ^ { 3 }$ 
C)  $282.74 \mathrm {~cm} ^ { 3 }$ 
D)  $424.12 \mathrm {~cm} ^ { 3 }$ 
E)  $848.23 \mathrm {~cm} ^ { 3 }$

Question 11

Find the area of the shaded part of the figure if $$a = 4$$ , $$b = 6$$ .

Accepted Answer

A)  48 
B)  96 
C)  12 
D)  10 
E)  none of these 
A)  48 
B)  96 
C)  12 
D)  10 
E)  none of these

Question 12

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

Accepted Answer

A)  $70 \mathrm {~m} ^ { 3 }$ 
B)  $140 \mathrm {~m} ^ { 3 }$ 
C)  $20 \mathrm {~m} ^ { 3 }$ 
D)  $280 \mathrm {~m} ^ { 3 }$ 
E)  $199 \mathrm {~m} ^ { 3 }$ 
A)  $70 \mathrm {~m} ^ { 3 }$ 
B)  $140 \mathrm {~m} ^ { 3 }$ 
C)  $20 \mathrm {~m} ^ { 3 }$ 
D)  $280 \mathrm {~m} ^ { 3 }$ 
E)  $199 \mathrm {~m} ^ { 3 }$

Question 13

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Accepted Answer

A) True 
 B)False

Question 14

Find the volume of a sphere with a radius of 10 inches.

Accepted Answer

A)  $1,333.33 \text { in. } ^ { 3 }$ 
B)  $16,755.16 \mathrm { in } ^ { 3 }$ 
C)  $12,566.37 \mathrm { in } ^ { 3 }$ 
D)  $418.88 \mathrm { in } ^ { 3 }$ 
E)  $4,188.79 \mathrm { in } . ^ { 3 }$ 
A)  $1,333.33 \text { in. } ^ { 3 }$ 
B)  $16,755.16 \mathrm { in } ^ { 3 }$ 
C)  $12,566.37 \mathrm { in } ^ { 3 }$ 
D)  $418.88 \mathrm { in } ^ { 3 }$ 
E)  $4,188.79 \mathrm { in } . ^ { 3 }$

Question 15

Find the total area of the shaded figure.  
The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Accepted Answer

A)  150.8 
B)  100.5 
C)  301.6 
D)  175.9 
E)  none of these 
A)  150.8 
B)  100.5 
C)  301.6 
D)  175.9 
E)  none of these

Question 16

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Accepted Answer

The answer of Find the area of the shaded part...

Question 17

Classify the following polygons:
1.  
2.  
3.  
4.  
5.

Accepted Answer

A)  Picture 1: octagon; picture 2: hexagon; picture 3: quadrilateral; picture 4: triangle and picture 5: pentagon. 
B)  Picture 1: quadrilateral; picture 2: octagon; picture 3: hexagon; picture 4: triangle and picture 5: pentagon. 
C)  Picture 1: quadrilateral; picture 2: hexagon; picture 3: octagon; picture 4: triangle and picture 5: pentagon. 
D)  Picture 1: quadrilateral; picture 2: pentagon; picture 3: octagon; picture 4: triangle and picture 5: hexagon. 
E)  Picture 1: quadrilateral; picture 2: triangle; picture 3: octagon; picture 4: hexagon and picture 5: pentagon. 
A)  Picture 1: octagon; picture 2: hexagon; picture 3: quadrilateral; picture 4: triangle and picture 5: pentagon. 
B)  Picture 1: quadrilateral; picture 2: octagon; picture 3: hexagon; picture 4: triangle and picture 5: pentagon. 
C)  Picture 1: quadrilateral; picture 2: hexagon; picture 3: octagon; picture 4: triangle and picture 5: pentagon. 
D)  Picture 1: quadrilateral; picture 2: pentagon; picture 3: octagon; picture 4: triangle and picture 5: hexagon. 
E)  Picture 1: quadrilateral; picture 2: triangle; picture 3: octagon; picture 4: hexagon and picture 5: pentagon.

Question 18

Find $\angle 2$ if  $$\angle 1 = 53 ^ { \circ }$$ .

Accepted Answer

A)  $127 ^ { \circ }$ 
B)  $54 ^ { \circ }$ 
C)  $37 ^ { \circ }$ 
D)  $74 ^ { \circ }$ 
E)  $53 ^ { \circ }$ 
A)  $127 ^ { \circ }$ 
B)  $54 ^ { \circ }$ 
C)  $37 ^ { \circ }$ 
D)  $74 ^ { \circ }$ 
E)  $53 ^ { \circ }$

Question 19

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground?   
__________ ${}^ { \circ }$

Accepted Answer

The answer of In the figure below, a = 105....

Question 20

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $$b = 9 \mathrm { in }$$ .

Accepted Answer

A)  39 in. 
B)  48 in. 
C)  28 in. 
D)  38 in. 
E)  none of these 
A)  39 in. 
B)  48 in. 
C)  28 in. 
D)  38 in. 
E)  none of these

Use the protractor to find the measure of ? GQC .

Refer to the figure. Which of the following choices are interior angles?

What is a triangle with three angles of equal measure called?

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 10 in. in 2$ in $2$

Find the radius of the circle, if the diameter is 14.

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Find the sum of the angles of a polygon with 9 sides.

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Find the volume of a sphere with a radius of 10 inches.

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 .$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Classify the following polygons: 1. 2. 3. 4. 5.

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } .$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^ { \circ }$ ${}^ { \circ }$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } .$

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An Introduction to Algebra

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Exam 9: An Introduction to Geometry

Use the protractor to find the measure of ? GQC .

Refer to the figure. Which of the following choices are interior angles?

What is a triangle with three angles of equal measure called?

Find the area of the shaded part of the figure if a=8a = 8a=8 , b=9b = 9b=9 , c=4c = 4c=4 .

Find the area of the circle to the nearest tenth, if π=3.14\pi = 3.14π=3.14 and a = 10 in. __________ in 222

Find the radius of the circle, if the diameter is 14.

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is A=68A = 68A=68 . Which numbered angle in the illustration is acute?

Find the sum of the angles of a polygon with 9 sides.

Find the volume of a cone with a height of 10 centimeters and a circular base with a diameter of 9 centimeters.

Find the area of the shaded part of the figure if a=4a = 4a=4 , b=6b = 6b=6 .

Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.

The lengths of the three sides of a triangle are given. The triangle is a right triangle. a=9a = 9a=9 , b=39b = 39b=39 , c=40c = 40c=40

Find the volume of a sphere with a radius of 10 inches.

Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use π=3.1416\pi = 3.1416π=3.1416 .

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Classify the following polygons: 1. 2. 3. 4. 5.

Find ∠2\angle 2∠2 if ∠1=53∘\angle 1 = 53 ^ { \circ }∠1=53∘ .

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? __________ ∘{}^ { \circ }∘

Find the perimeter of the figure if a=10in.a = 10 \mathrm { in } .a=10in. , b=9inb = 9 \mathrm { in }b=9in .

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

Filters

Find the area of the shaded part of the figure if $a = 8$ , $b = 9$ , $c = 4$ .

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 10 in. $Find the area of the circle to the nearest tenth, if \pi = 3.14 and a = 10 in. in 2$ in $2$

The illustration shows a block that is suspended with two ropes, one of which is horizontal. The weight of the block is $A = 68$ . Which numbered angle in the illustration is acute?

Find the area of the shaded part of the figure if $a = 4$ , $b = 6$ .

The lengths of the three sides of a triangle are given. The triangle is a right triangle. $a = 9$ , $b = 39$ , $c = 40$

Find the total area of the shaded figure. $Find the total area of the shaded figure. The diameters of the smaller circles are equal to 8. Use \pi = 3.1416 .$ The diameters of the smaller circles are equal to 8. Use $\pi = 3.1416$ .

Find $\angle 2$ if $\angle 1 = 53 ^ { \circ }$ . $Find \angle 2 if \angle 1 = 53 ^ { \circ } .$

In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? $In the figure below, a = 105. What is the angle of the handle of the lawn mower in relation to the ground? {}^ { \circ }$ ${}^ { \circ }$

Find the perimeter of the figure if $a = 10 \mathrm { in } .$ , $b = 9 \mathrm { in }$ . $Find the perimeter of the figure if a = 10 \mathrm { in } . , b = 9 \mathrm { in } .$