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WorksheetsACT Math Prep
Total questions: 30
Worksheet time: 15mins
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
$44.44
$109.08
$118.80
$408.04
$444.40
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
4
14
16
20
50
What is the value of x when 2x + 3 = 3x – 4 ?
-7
-1/5
1
1/5
7
What is the greatest common factor of 42, 126, and 210 ?
2
6
14
21
42
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
16
17.5
20.5
22
35
In the figure, ray EF was constructed starting from rays ED and EG. By using a compass D and G were marked equidistant from E on rays ED and EG. The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
are equal.
are NOT equal
sum to 30°.
sum to 45°.
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?
l = (1/2)w + 3
l = 2w + 3
l = 2w - 3
l = w - 3
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
14
44
48
54
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
4
6
18
24
Which of the following is the sine of angle A in the right triangle below?
5\13
5\12
12\13
12\5
Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.
4
14
30
120
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = (1/3)r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
2
4
8
12
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
3
15
21
225
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?
5
4
3
2
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
$86.00
$77.60
$56.00
$50.00
What is 7% of 4.58 × 106 ?
3,206,000
320,600
763.33
76.33
The Carousel Clothes Shop is advertising a sale featuring 30% off the marked price on any item. Which of the following gives the sale price, in dollars, of an item with a marked price of p dollars?
0.3p
p - 30p
p - 0.3
p - 0.3p
Brian bought a pair of jeans for 2/3 of the original price of $48 and a belt for 40% of its original price of $12.50. Ignoring sales tax, what is the total amount for these purchases?
$21.00
$27.00
$37.00
$39.50
Which of the following is NOT equivalent to to 80% of n?
0.80n
8(0.10n)
54n
1008n
What is 4% of 7.34 ×104 ?
29,360
2,936
1,835
183.5
What is 5% of 50?
0.5
2.5
10
25
Jennifer's best long jump distance increased by 10% from 1990 to 1991 and by 20% from 1991 to 1992. By what percent did her best long jump distance increase from 1990 to 1992?
32%
30%
20%
15%
Suppose that replacing an old electric water heater with a new, energy-efficient electric water heater will reduce a home's average monthly electric bill by 20%. If the old electric water heater in a home with a current average monthly electric bill of $110 is replaced by a new energy-efficient one, what will be the home's new average monthly electric bill?
$22.00
$88.00
$90.00
$109.80
While watching TV from 7:00 pm to 8:00 pm, you count 20 commercials, each 30 seconds long. To the nearest percent, what percent of the hour is taken up by commercials?
6%
10%
17%
50%
Mr. Jones earns a total of $320 each week at his job in Shaba's Supermarket. If 18% of his pay is withheld for taxes, insurance, and other deductions, what is his take-home pay each week?
$57.60
$262.40
$300.50
$338.00
Ticket sales for this year's annual concert at County Stadium were $350,000. The promoter is predicting that next year's ticket sales, in dollars, will be 60% greater than this year's. How many dollars in ticket sales is the promoter predicting for next year?
$350,060
$410,000
$560,000
$950,000
An advertisement for tires says, "Buy 3 tires at the regular price and get the fourth tire free!" This offer is equivalent to what discount off the regular price of all 4 tires?
1/4 %
1/3 %
25%
40%
Adina plays in a bowling league. Her bowling scores for last week are listed below. What is the median of Adina's bowling scores for last week?
142, 186, 201, 191, 116, 201, 175
180 1/2
186
191
201
An organization promoting good nutritional habits collected data on fat calories in foods from 9 fast food restaurants. The values represent the number of fat calories in a small order of french fries from each restaurant.
160, 106, 104, 113, 160, 103, 161, 89, 96
What is the median number of fat calories in a small order of fries at these restaurants?
106
108
125
128
What is the mean of the list of numbers below?
62, 100, 93, 62, 72, 78, 50, 85, 62, 36
62
67
70
75
