More ACT Math Practice!

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No better way to become perfect, than PRACTICE! Check out some more of ACT Math Practice Problems!

Use the following information to answer questions 21-23.

At West High School, the 19 cast members of the fall play sold 2 types of tickets- student and adult- for the Friday night and Saturday night performances. The price of each student ticket was $3 and the price of each adult ticket was $4. The table below gives the number of tickets sold, by type and by night.

Ticket Sales per Performance
Ticket Type Night of Perfomance
Friday Saturday
Student 113 90
Adult 98 120

The stem-and-leaf plot below shows the number of tickets, regardless of type, sold by each of the 15 cast members.

Stem Leaf
0 9 9
1 0 3 4 4 5 6 9
2 1 3 4 7 9 9
3 5 7 8 9

The auditorium where the performance will be held has 20 seats in the first row. Each row behind the first row has 2 more seats than the row in front of it.

  1. Suppose 1 cast member will be picked at random from the 19 cast members who sold tickets to receive a prize. What is the probability of picking a cast member who sold less than 10 tickets?
  2. 3/19
  3. 2/19
  4. 4/19
  5. 19/2
  6. 9/19
  1. For which night was the total amount collected for the tickets greater, and by how many dollars was it greater?
  2. Friday by $1
  3. Friday by $8
  4. Saturday by $17
  5. Saturday by $19
  6. Saturday by $21
  1. How many seats are in the 7th row of the auditorium?
  2. 32
  3. 34
  4. 36
  5. 38
  6. 40
  1. At Krista’s Pizzeria, Odetta spends $12.25 (before tax) on the purchase of 3 appetizers and 4 slices of pizza. The price of each appetizer is a dollars. The price of each slice of pizza is half the price of an appetizer . Which of the following equations, when solved, gives the price, a dollars, of an appetizer and the price, p dollars, of a slice of pizza at Krista’s?
  2. 4a+3p=12.25

a/2 = p

  1. 3a+4p=12.25

a/2 = p

  1. 3a+4p=12.25

p/2 = a

  1. 4a+3p=12.25

p/2 = a

  1. 3a+4p=12.25

p/2 = a

  1. The Ferris wheel at a state fair has a radius of 50 feet, rotates at a constant speed, and completes 1 rotation in 6 minutes. How many degrees does the Ferris wheel rotate in 30 seconds?
  2. 20
  3. 24
  4. 30
  5. 45
  6. 50
  1. Carla told Jimmy that if he spent up to $60 from his savings account, his saving account would have at least 3/4as much in it as it has now. From Carla’s statement, Jimmy has deduce that the least amount of money that John could have in his savings account now is?
  2. $60
  3. $120
  4. $180
  5. $240
  6. $360
  1. The perimeter of a parallelogram is 96 inches, and the length of 1 side is 12 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides?
  2. 12, 36, 36
  3. 12, 12, 36
  4. 12, 32, 32
  5. 12, 12, 32
  6. Cannot be determined from the given information
  1. In a certain country, last year’s population was estimated to be 4.2 x 105 people, and last year’s public debt was estimated to be 1.26 x 107 dollars. Based on these estimates, what was last year’s public debt per person in this country?
  2. $15.00
  3. $30.00
  4. $50.00
  5. $1,500.00
  6. $2,000.00
  1. Points A, B, C, and D lie on the real number line as shown below. The coordinate of C is 0, AC is 10 units long, BD is 16 units long, and AD is 22 units long. What is the coordinate of B?
  2. -10
  3. -4
  4. 4
  5. 8
  6. 12
  1. In rectangle ABDe shown below, C lies on BD and F lies on AE such that rectangles ABCF and CDEF are similar (ABCF~CDEF), the length of AB is 6 cm, and the length of BC is 10 cm. What is the area, in square centimeters, of ABDE?
  2. 58
  3. 60
  4. 65
  5. 80
  1. 90

Answers:

  1. B
  2. J
  3. A
  4. G
  5. C
  6. J
  7. A
  8. G
  9. B
  10.   K

Shea & Elisheva 2

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