Free Printable ACT Math Practice 61D (1-20)

1.

A fingernail grows at an average rate of 0.12 inches per month. Rip van Winkle, a character in a story by Washington Irving, slept for 20 years. If his fingernails grew at the average rate, approximately how many inches did each grow while he slept?

a)

28.8

b)

24.0

c)

20.0

d)

12.0

e)

2.4

2.

In the figure, $\angle A\cong\angle D,\ \angle B\cong\angle E,\ and\ \Delta ABC\cong\Delta DEF.$ The measure of $\angle A$ is $20\degree.$ The measure of $\angle F$ is $75\degree.$ What is the measure of $\angle B?$

a)

$20\degree$

b)

$75\degree$

c)

$85\degree$

d)

$95\degree$

e)

$105\degree$

3.

Shanika has a bag containing 50 pieces of candy: 6 strawberry, 12 orange, 10 lime, and 22 lemon. If Shnika randomly takes a piece of candy from the bag, what is the probability that the piece she takes is strawberry or lime?

a)

\frac{6}{50}

b)

$\frac{10}{50}$

c)

$\frac{16}{50}$

d)

$\frac{16}{34}$

e)

$\frac{60}{50}$

4.

It is estimated that each 4-ounce portion of a certain type of apple contains 60 calories. What is the estimate for the number of calories contained in a 15-ounce portion of this type of apple?

a)

15

b)

16

c)

60

d)

225

e)

240

5.

Dan and Kyla dined at a restaurant, and their bill was $29.74. They would like to leave a tip of approximately 15% of their bill. Which of the following is closest to this amount?

a)

$1.50

b)

$3.00

c)

$3.78

d)

$4.00

e)

$4.50

6.

Buyer's Buddy Supermarket is running a sale on all 4 flavors of 2-liter Zing-N-Zest soft drinks. The sale price for each 2-liter bottle is $0.59, with a limit of 6 bottles per flavor. At most, how many 2-liter bottles can be purchased for $12.89, excluding tax?

a)

6

b)

10

c)

21

d)

22

e)

24

7.

According to the U.S. Energy Information Administration, in 1989 the U.S. population consumed a total of 81,342 trillion British thermal units (Btu) of energy, including 5,677 trillion Btu of nuclear electric power and 2,884 trillion Btu of hydroelectric power. In scientific notation, how many more Btu of nuclear electric power were consumed than But of hydroelectric power?

(Note: 1 trillion = 1,000,000,000,000)

a)

$2.457\times10^{15}$

b)

$2.793\times10^{15}$

c)

$5.250\times10^{15}$

d)

$7.567\times10^{15}$

e)

$7.846\times10^{15}$

8.

When $3x-12y=6\ and\ \ \ \ y=-2,$ what is the value of $x?$

a)

-18

b)

-6

c)

$\frac{4}{3}$

d)

4

e)

10

9.

Diastolic blood pressure tends to increase linearly with age. Suppose that the average diastolic blood pressure of 20-year-olds is 120 and the average diastolic blood pressure of 60-year-olds is 140. Given this model, what would be the average diastolic blood pressure of 50-year-olds?

a)

120

b)

125

c)

130

d)

135

e)

140

10.

The expression $\left(2x+3\right)\left(3x-2\right)$ is equivalent to:

a)

$5x+1$

b)

$5x-1$

c)

$6x^2-6$

d)

$6x^2-5x-6$

e)

$6x^2+5x-6$

11.

Jan returned a library book that was 9 days overdue. The library charged Jan $s$ cents per day for the first 6 overdue days and 20 cents per day for each overdue day after 6 overdue days. Which of the following is an expression for the total amount, in cents, Jan was charged?

a)

$s+180$

b)

$6s+20$

c)

$6s+60$

d)

$9s+20$

e)

$9s+60$

12.

What is the value of $h\left(1.5\right)$ when $h\left(x\right)=-4x^2+20x+32?$

a)

26

b)

50

c)

53

d)

56

e)

71

13.

What is the area, in square inches, of $\Delta ABC$ shown?

a)

10

b)

12

c)

14

d)

24

e)

48

14.

For what value of x is $3\left(x+5\right)=2\left(x-6\right)$ true?

a)

27

b)

11

c)

-11

d)

-21

e)

-27

15.

Which of the following is equivalent to $\frac{25a}{4}+\frac{3a}{2}?$

a)

$4\frac{2}{3}a$

b)

$7a$

c)

$7\frac{1}{3}a$

d)

$7\frac{3}{4}a$

e)

$15\frac{1}{2}a$

16.

Suppose that w, y, and z each stand for a digit from 0 through 9 and $5w7\ +\ 92y\ =\ 1,z96$ . What is the value of the product of $w\cdot y\cdot z?$ (Note: in the equation, w, y, and z are NOT variables being multiplied; they are DIGITS - if y were 0, that would be 920; if y were 8, that would be 928, etc)

a)

19

b)

28

c)

216

d)

252

e)

270

17.

in $\Delta ABC,\ \angle B$ is a right angle and the measure of $\angle A$ is $36\degree.$ A second right triangle, $\Delta DEF,$ is being constructed so that $\angle E$ is a right angle and the measure of $\angle D$ is double the measure of $\angle A.$ What is the measure of $\angle F?$

a)

$72\degree$

b)

$54\degree$

c)

$30\degree$

d)

$27\degree$

e)

$18\degree$

18.

The figure shows a circle with a radius of 5 cm and a chord of the circle. The chord is 3 cm from the center of the circle. What is the length, in centimeters, of the chord?

a)

3

b)

4

c)

5

d)

8

e)

10

19.

What is the sum of the two solutions of the equation $x^2+3x-28=0?$

a)

-28

b)

-7

c)

-3

d)

0

e)

4

20.

The time, t seconds, required for a simple pendulum x feet long to make 1 complete swing can be modeled by $t=2\pi\sqrt{\frac{x}{32}}.$ How many seconds are required for 1 complete swing of a simple pendulum that is 8 feet long?

a)

Less than 1

b)

Between 1 and 2

c)

Between 2 and 3

d)

Between 3 and 4

e)

More than 4

ACT Math Practice 61D (1-20)

Total questions: 20

Worksheet time: 10mins

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