Geometry hW ACT REVIEW Multi- choice – PLease show how to attain Answer

Practice

ACT Questions for:

Ratios and Proportions

Percents

Distance and Midpoint

Polygons

Ratios and Proportions

1. If 5 pounds of coffee cost $12, how many pounds of coffee
can be purchased for $30?

A. 7.2
B. 10
C. 12.5
D. 15
E. 18

2. Of the 517 graduating seniors at Brighton High School,

approximately
4

5
will be attending college, and

approximately
1

2
of those going to college will be

attending a state college. Which of the following is the

closest estimate of the number of graduating seniors who

will be attending a state college?

A. 170
B. 200
C. 260
D. 300
E. 320

3. A proofreader can read 40 pages in one hour. How many
pages can this proofreader read in 90 minutes?

A. 45
B. 60

C. 150
D. 360
E. 940

4. There are 16 ounces in one pound. If 3.4 pounds of beef
cost $4.95, what is the cost per ounce, to the nearest cent?

A. $0.0

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B. $0.31
C. $1.05
D. $1.46
E. $10.99

5. One foot is equivalent to approximately 0.3048 meters. If a
building is 65-feet long, what is the length of the building

in meters, to the nearest tenth?

A. 19.8
B. 31.3
C. 65.3
D. 198.1
E. 231.3

Percents

1. Erin is a college junior. This year her tuition is $7,000.

Next year her tuition will go up by 9%. Which of the

following expressions can be used to find the total amount

of her tuition for the two years combined?

A. $7,000 0.09 $7,000

B. $7,000 1.09 $7,000

C. $14,000 1.09

D. 0.09 $7,000

E. 0.08 $14,000 7,000

2. In a certain school, there are 600 boys and 400 girls. If 20

percent of the boys and 30 percent of the girls are on the

honor roll, how many of the students are on honor roll?

A. 120

B. 175

C. 240

D. 250

E. 280

3. Josh buys a television set for $600.00. If the sales tax is

7%, what is the total cost of the purchase?

A. $4.20

B. $42.00

C. $420.00

D. $604.20

E. $642.00

4. If a retailer’s markup on a television set is 25%, what is the

cost (to the nearest dollar) of a television to the retailer who

sells the set for $200?

A. $150

B. $160

C. $175

D. $250

E. $267

5. In a recent telephone survey for the upcoming election,

10% of those surveyed favored candidate A, 20% favored

B, 30% favored C, and 40% were undecided. If 1500

people favored C, how many people were undecided?

A. 600

B. 1650

C. 2000

D. 3500

E. 6000

Distance/Midpoint

1. Points B and C lie on a segment AD as shown below. The
length of segment AD is 25units; the segments AC is 19

units long; and the segment BD is 14 units long. How

many units long, if it can be determined, is the segment

BC?

A. 5
B. 6
C. 8
D. 11
E. Cannot be determined from the given information.

2. As shown below, the diagonals of rectangle ABCD
intersect at the point (-4, 2) in the standard (x, y) coordinate

plane. Point D at (1, -1). Which of the following are the

coordinates of point B?

A. 1,5

B. 6,4

C. 9,5

D. 11,6

E. 9, 1

A DB C

3. What is the distance in the standard (x, y) coordinate plane
between the points (2,3) and (5,5)?

A. 3
B. 5

C. 11

D. 13

E. 25

4. What is the distance in the standard (x, y) coordinate plane,
point X has coordinates (-4, 0) and point Y has coordinates

(0, -8). What are the coordinates of the midpoint XY ?

A. 6, 1

B. 2, 4

C. 0,2

D. 2,4

E. 6, 1

5. In the standard (x, y) coordinate plane, what is the length of
the line segment that has endpoints (-3,4) and (5, -6)

A. 9

B. 2 41
C. 18

D. 20 2
E. 40

6. In the standard (x, y) coordinate plane, (6, 10) is half-way
between (c, 2c – 5) and (3c, c + 16). What is the value of

c?

A. 2
B. 0
C. 3
D. 5
E. 9

Polygons

1. If 2 interior angles of a triangle measure 40 and 85 ,

respectively, which of the following describes the location

of the shortest side of the triangle?

A. Always opposite the 40 angle

B. Always between the 40 and the 85 angle

C. Always opposite the 85 angle

D. Opposite either the 85 or the unknown angle

E. Cannot be determined from the information given

2. What is the best name for a parallelogram that has four

congruent angles and perpendicular diagonals?

A. Quadrilateral

B. Parallelogram

C. Rectangle

D. Rhombus

E. Square

3. Square ABCD below has a perimeter of 28 inches. How

many inches long is diagonal AC ?

A. 7

B. 7 2

C. 7 3

D. 14

E. 14

4. Shari and Juan are in charge of the art classes for summer
camp. They plan to have the children make flowers out of

construction paper. They have decided to let the 10-year

olds cut out the circles, each 3 inches in diameter, for the

centers of the flowers. If the pieces of construction paper

are 9 inches by 12 inches, and the circles are laid out as

shown below, what is the least number of pieces of

construction paper Shari and Juan will need for the centers

of 50 flowers?

A. 1
B. 2
C. 3
D. 4
E. 5

5. Which of the following choices could NOT be the lengths

of the sides of a triangle?

A. 4, 6, 10

B. 7, 8, 13

C. 3, 7, 7

D. 5, 5, 5

E. 3, 4, 5

6. In a given isosceles triangle, the measure of each of the

base angles is four times the measure of the vertex angle.

What is the measure, in degrees, of the vertex angle?

A. 20

B. 30

C. 45

D. 70

E. 80

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