ACT Practice Math Test - BWS Education Consulting

[Pages:22]

Practice ACT Math Test ---- 60 Minutes, 60 Questions

1.

3m + 2m = ? 83

A.

m 24

B.

5 11

m

C.

25 24

m

D.

5 3

m

E.

5m

2.

If the perimeter of a square is equal to its area, which of the following could be a side length

of the square?

F.

3

G.

4

H.

5

J.

6

K.

7

3.

Which of the following is the greatest number?

A.

-27

B.

(-27)

C.

62

D.

-5? -6

E.

- 38

, BWS Education Consulting, ?2017

4.

Eva is skilled at speed--reading ? she is able to read 1000 words of text in only one minute.

John reads at a normal pace ? 300 words of text in a minute.

John just finished a novel that

took him a total of 10 hours to read.

Approximately how long in hours will it take Eva to read

the same book?

F. 3

G.

3

1 3

H. 10

J. 30

K. 300,000

5.

If there are 16 ounces in a pound, and approximately 0.454 kilograms in a pound, then how

many ounces would there be in 8 kilograms (measured to the nearest whole ounce)?

A.

58

B.

124

C.

168

D.

282

E.

320

6.

In the figure to the right, triangles ABD, BCD

and ADE are all equilateral.

What is the degree measure of BFA ?

F. 45

G. 60

H. 75

J. 90

K. 135

, BWS Education Consulting, ?2017

2

7.

On an x--y coordinate plane, AB has a midpoint of C . If point C has coordinates of (3, 4)and

point A has coordinates of (-1,6), then what are the coordinates of point B ?

A. (2, 10)

B. (4, 2)

C. (4, 10)

D. (7, 2)

E. (7, 4)

Questions 8--10 are about the information in this table.

Washington High School's total breakdown of female and male students and junior and senior

students is given in the following chart.

Juniors Seniors Totals

Males 115 125 240

Females 145 X 270

Totals 260 250

8.

How many total students are there in both the junior and senior classes at Washington High

School?

F.

240

G.

250

H.

510

J.

540

K.

620

, BWS Education Consulting, ?2017

3

9.

What is the number of female senior students who go to Washington High School (labeled as "X" in the chart)?

A.

115 B.

125 C.

135 D.

155 E.

175

10.

What is the probability that a randomly selected junior student at Washington High School will be a male (rounded to the nearest hundredth)?

F.

0.20 G.

0.29 H.

0.38 J.

0.44 K.

0.56

11.

A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become stuck in a tree.

The tree is 50 feet high, and the cat is 15 feet off the ground straight up in the trunk of the tree.

How far from the bottom of the tree will the ladder have to be in order to reach the point at which the cat is?

A. 15 B. 20 C. 25 D.

30 E. 135

( ) 12.

3x2 4 =

F.

81x8

G. 12x8

H. 3x8

J. 81x6

K.

3x6

, BWS Education Consulting, ?2017

4

13. (3x + 4 y)2 = ?

A. 9x2 + 24xy +16 y2

B. 49x2 y2

C. 9x2 +16x2

D.

9x2 +12xy +16 y2

E. 3x2 + 4 y2

14.

The values of f (x) and g(x) are given in the table below.

x

--1 0 1 2 3

f (x)

3 6 9 12 15

g(x)

--4 --2 0 2 4

What is the value of g( f (-1)) ?

F.

--12

G.

--4

H.

4

J.

12

K.

15

15. Two line segments are in the X--Y plane.

Segment A is formed by the points (--4, 6) and (0, 4).

Segment B is formed by points (--6, --6) and (2, --4).

Find the coordinates of the point that

connects the midpoints of the two line segments.

A. (--4, --2)

B. (--2, 0)

C. (0, 2)

D.

(4, --6)

E. (6, 4)

, BWS Education Consulting, ?2017

5

16.

If x = 3z - 2 and y = 2 + 3z , how much greater is y than x ?

F. 1 G. 2 H. 3 J.

4 K. 6

17.

2 - 7 ? -3 + 8 = ?

A. --25 B. 5 C. 23 D. 25 E. 31

18.

In the following triangle, what is the measure of angle X to the nearest whole degree?

F. 27 G. 31 H. 34 J.

39 K. 42

, BWS Education Consulting, ?2017

6

19.

An airplane that is flying at an altitude of 30,000 feet is beginning to descend at a rate of

1,000 feet per minute.

A helicopter is beginning its trip, starting at an altitude of zero feet.

The

helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute.

After how many minutes will the airplane and the helicopter be at the same altitude?

A. 10

B. 15

C. 20

D.

30

E. 60

3x

20.

Which of the following is equivalent to

x-

2 3

?

F.

1 2

x

3x G.

x

H.

2 3

x2

J.

x3

K.

x

21.

John walks from his house to school in straight lines.

He first walks 6 miles to the west, and

then walks 8 miles to the north.

If John could have taken a helicopter instead of walking, how

far would his journey have been?

A.

4 3

B. 2

C. 10

D.

14

E. 100

, BWS Education Consulting, ?2017

7

22.

Right triangle ABC has legs of 24 and 7.

What is the sin of the triangle's smallest angle?

F.

7

24 G.

25

7 H.

24

25 J.

25

24 K.

7

25

23.

A major media outlet uses the Richter Magnitude Scale to report the size of earthquakes.

The Richter Scale uses a number between 1 and 10 to signify the relative power of an earthquake.

The scale is logarithmic, in that the magnitude of the earthquakes increases exponentially by a multiple of 10 with each single--digit increase in the scale.

For instance, and earthquake that is a 3 on the Richter Scale will be 10 times as powerful as one that is a 2.

In a recent earthquake, the initial earthquake measured a 7 on the Richter Scale.

It had an aftershock that was a 5 on the Richter Scale.

How much more powerful was the initial earthquake compared to the aftershock?

A. 10,000,000 B. 100,000 C. 100 D.

20 E. 10

, BWS Education Consulting, ?2017

8

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download