ACT math practice test 21

1. A magician performing at children's birthday parties charges $120.00 total for a one-hour performance with ten goodie bags for children at the party. She will provide additional goodie bags for $2.50 each. For an additional $25.00, she will also present a 15-minute laser light show. The magician is always paid on the day of the show, receives no tips or other additional payments, and never varies the length of the show. If the magician performs exactly four shows one weekend, presents the light show at three of those performances, and collects $635.00 total, how many additional goodie bags did she provide?

A. 26
B. 32
C. 48
D. 86
E. 254

2. In an elite marathon runner's training, total mileage consists of miles run at or faster than marathon pace and miles run slower than marathon pace. The table below shows miles run at or below marathon pace and total mileage for an elite marathon runner for each of 3 consecutive years.

In 2004, how many miles of the runner's total mileage were miles run slower than marathon pace?

F. 1,012
G. 2,972
H. 3,368
J. 3,832
K. 3,850

3. A 24-hour day is how many times as long as 60 seconds?

A. 12
B. 30
C. 365
D. 720
E. 1,440

4. A student reads a pages per day for d days and then reads b pages per day for 2d days. In terms of a, b, and d, how many pages did the student read?

F. ad + 2b
G. ad + 2bd
H. 2ad + 2bd
J. 2abd
K. 2abd2

5. A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?

A. 42
B. 72
C. 102
D. 156
E. 204

6. The graph below shows the number of people visiting a museum during the first 5 months of the year. How many people need to visit the museum during June for the mean of the first 6 months to equal the mean of the first 5 months?

F. 0
G. 200
H. 250
J. 500
K. 1,250

7. A graduation cap is tossed upward. It is f feet above the ground s seconds after it has been thrown. The relationship between f and s is given by the equation f = 60s - 17s2 where 0 ≤ s ≤ 3.5. How many feet above the ground is the cap 3 seconds after it is thrown?

A. 27
B. 41
C. 60
D. 80
E. 163

8. The highest and lowest test scores of five students in Mr. Canyon's science class are listed below. Which student had the greatest range of scores?

F. Alicia
G. Brandon
H. Cleo
J. David
K. Emily

9. Nita, Craig, and Chris catch a total of 300 fish on their trip. If Chris catches 45% of the fish and Craig catches 25 fish, what fraction of the 300 fish does Nita catch?


10. Given that f(x) = 4x2 and g(x) = 3 -, what is the value of f(g(4)) ?

F. 1
G. 4
H. 8
J. 16
K. 64

11. In the grid shown below, each small square has a side length of 1 unit. In the shaded region, each vertex lies on a vertex of a small square. What is the area, in square units, of the shaded region?

A. 35
B. 25
C. 24
D. 19
E. 13

12. A ramp rises 6 inches for each 24 inches of horizontal run. This ramp rises how many inches for 62 inches of horizontal run?

F. 15
G. 20
H. 44
J. 80
K. 248

13. What is the value of yx + (2x - 2y) when x = 2 and y = -3?

A. -10
B. 1
C. 7
D. 16
E. 19

14. In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.

The lines in which of the following pairs of lines are necessarily parallel?

I. and

II. and

III. and

F. I only
G. II only
H. III only
J. I and II only
K. I, II, and III

15. The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If x represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts?

A. (4.10 + 2x)(95 + x)
B. (4.10 - 2x)(95 + x)
C. (4.10 + 0.02x)(95 + x)
D. (4.10 - 0.02x)(95 + x)
E. (4.10-- 0.02x)(95 + 0.02x)