ACT Math #1

1. 1. A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 p.m., looking due north. At 7:45 p.m., they had rotated 180° to a view that was due south. At this rate, how many degrees will the restaurant rotate in 1 hour?

• A. 90°

• B. 180°

• C. 240°

• D. 270°

• E. 400°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

2. 2. The cost of a gym membership is a onetime fee of $140, plus a monthly fee of $40. Brendan wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?

• F. 3

• G. 4

• H. 9

• J. 12

• K. 13

Tags

CCSS.7.EE.B.4A

3. 3. A museum offers a 2-hour guided group tour. For groups with fewer than 25 people the cost is $9.25 per person; for groups with 25 people or more the cost is $8.50 per person. The 27 people in the 9:00 a.m. tour group each paid $9.25 in advance. What is the total refund that the museum owes the 9:00 a.m. group?

• A. $12.50

• B. $13.00

• C. $18.75

• D. $20.25

• E. $25.00

Tags

CCSS.7.EE.B.3

4. 4. The 13-member math club needs to choose a student government representative. They decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Samara, who is a member of the club but NOT an officer, will be chosen?

• 0

• 1/13

• 1/10

• 3/13

• 1/3

Tags

CCSS.7.SP.C.7B

5. 5. Mel earned scores of 75, 70, 92, 95, and 97 points (a total of 429 points) on the first 5 tests in Economics II. Solving which of the following equations for s gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests?

• A

• B

• C

• D

• E

Tags

CCSS.7.EE.B.4A

6. 6. The figure below shows quadrilateral ABCD. What is the measure of ∠C?

• 120°

• 105°

• 115°

• 100°

• 80°

Tags

CCSS.HSG.C.A.3

7. 7. In the figure below, ΔABC and ΔDEF are similar triangles with the given side lengths in meters. What is the perimeter, in meters, of ΔDEF?

• 3

• 8

• 11

• 12

• 13

8. 8. |3(-2) + 4| = ?

• -2

• 2

• 5

• 9

• 10

Tags

CCSS.7.EE.B.3

9. 9. What are the values for x that satisfy the equation (x + a)(x + b) = 0?

• -a and -b

• a and b

• -ab and b

• a and -b

• ab and -b

Tags

CCSS.HSA-REI.B.4B

10. 10. In the figure below, G is the center of the circle, (JK) is a diameter, H lies on the circle, J lies outside the circle on (JK), and (JM) is tangent to the circle at M. Which of the following angles or minor arcs has the greatest degree measure?

• F

• G

• H

• J

• K

Tags

CCSS.HSG.C.A.2