Free Printable Geometry ACT Practice Week 4.5

1.

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x²– 3y ?

a)

14

b)

4

c)

20

d)

16

e)

50

2.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = w + 3

b)

l = undefined w + 3

c)

l = 2w – 3

d)

l = 2w + 3

e)

l = w – 3

3.

What is the greatest common factor of 42, 126, and 210 ?

a)

2

b)

6

c)

14

d)

210

e)

42

4.

How many irrational numbers are there between 1 and 6 ?

a)

3

b)

10

c)

1

d)

4

e)

infinitely many

5.

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

a)

15°

b)

30°

c)

45°

d)

60°

e)

80°

6.

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

a)

$\frac{3}{5}$

b)

$\frac{5}{8}$

c)

$\frac{7}{8}$

d)

undefined

e)

$\frac{1}{4}$

7.

A circle has a circumference of 16 $\pi$ feet. What is the radius of the circle, in feet?

a)

$\sqrt{8}$

b)

8

c)

16

d)

24

e)

32

8.

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

a)

15

b)

25

c)

50

d)

100

e)

125

9.

Which of the following orders the numbers 0.6, 0.07 , and

$\frac{3}{4}$ from least to greatest?

a)

0.6 < 0.07 < undefined

b)

0.07 < 0.6 < undefined

c)

0.07 < undefined < 0.6

d)

undefined < 0.07 < 0.6

e)

undefined < 0.6 < 0.07

10.

What is x, the second term in the geometric series $\frac{1}{4}$ + x + $\frac{1}{36}$ + $\frac{1}{108}$ + ... ?
(Note: In a geometric series the ratio of any term to the following term is constant.)

a)

$\frac{1}{9}$

b)

$\frac{1}{16}$

c)

$\frac{1}{18}$

d)

$\frac{1}{3}$

e)

$\frac{1}{12}$

11.

What is the slope of any line parallel to the line 9x + 4y = 7 ?

a)

-9

b)

- $\frac{9}{4}$

c)

7

d)

9

12.

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

13.

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)

$105\degree$

14.

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)

$\frac{60}{50}$

15.

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

16.

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

17.

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

18.

In the figure below, line m is parallel to line n, and line t is a transversal crossing both m and n. Which of the following lists has 3 angles that are all equal in measure?

a)

$\angle a,\ \angle b,\ \angle d$

b)

$\angle a,\ \angle c,\ \angle d$

c)

$\angle a,\ \angle c,\ \angle e$

d)

$\angle b,\ \angle c,\ \angle d$

e)

$\angle b,\ \angle c,\ \angle e$

19.

As shown in the figure below, ∆ABC is isosceles with the length of AB equal to the length of AC. The measure of ∠A is 40° and points B, C, and D are collinear. What is the measure of ∠ACD ?

a)

$70\degree$

b)

$80\degree$

c)

$110\degree$

d)

$140\degree$

e)

$160\degree$

20.

In $\Delta ABC$ , $\angle A$ and $\angle C$ are congruent, and the measure of $\angle B$ is $93.5\degree$ . What is the measure of $\angle A$ ?

a)

$43.25\degree$

b)

$46.75\degree$

c)

$60\degree$

d)

$86.5\degree$

e)

$93.5\degree$

Geometry ACT Practice Week 4.5

Total questions: 20

Worksheet time: 17mins

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