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ACT Math Quizizz #3

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

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)

72

2.

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)

1/4

b)

3/8

c)

3/5

d)

5/8

e)

7/8

3.

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

Individual Question


a)

sqrt(8)

b)

4

c)

8

d)

16

e)

32

4.

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)

50

c)

200

d)

3sqrt(15)

e)

6sqrt(15)

5.

In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?

a)

(2,2)

b)

(2,4)

c)

(5,2)

d)

(5,4)

e)

(5,5)

6.

Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. What is the distance, in units, from the midpoint of BC to the midpoint of CD?

a)

18

b)

14

c)

12

d)

9

e)

6

7.

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c ?

a)

a < n

b)

b - n > a - n

c)

b < n

d)

n + b = a + c

e)

2n > a + b

8.

The distribution of Jamal’s high school grades by percentage of course credits is given in the circle graph below. What is Jamal’s grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?

a)

3

b)

3.4

c)

3.6

d)

3.7

e)

Cannot be determined from the given information

9.

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

a)

4.2

b)

12.6

c)

14

d)

18

e)

21

10.

a)

v = 32t

b)

v = 32t + 120

c)

v = 120t

d)

v = 120t + 32

e)

v = 120t +120

11.

If n = 8 and 16 • 2^m = 4^(n – 8), then m = ?

a)

-4

b)

-2

c)

0

d)

1

e)

2

12.

a)

x+1

b)

X+2

c)

x+3

d)

x+4

e)

x+5

13.

A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?

a)

150

b)

178

c)

191

d)

212

e)

260

14.
a)

sqrt(5)

b)

2sqrt(5)

c)

sqrt(5)/2

d)

sqrt(5)/5

e)

2sqrt(5)/5

15.

Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?

a)

1,000

b)

1,250

c)

1,500

d)

1,600

e)

2,000