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WorksheetsACT Prep Questions
Total questions: 80
Worksheet time: 2hrs 58mins
Name
Class
Date
1.
There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?
a)
1:5
b)
1:6
c)
5:6
d)
5:11
2.
The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?
a)
$0.73
b)
$1.11
c)
$1.99
d)
$2.18
3.
2
a)
1,2
b)
1,2,5,6
c)
1,2,9,10
d)
1,2,5,6,9,10
4.
1
a)
85
b)
95
c)
105
d)
115
5.
3
a)
-4
b)
-3.5
c)
2
d)
.66
6.
4
a)
1
b)
2
c)
3
d)
4
7.
5
a)
6
b)
12
c)
24
d)
48
8.
7
a)
64
b)
32
c)
16
d)
8
9.
8
a)
10/12
b)
12/10
c)
sqrt(44)/12
d)
10/sqrt(44)
10.
9
a)
180
b)
231
c)
309
d)
360
11.
10
a)
600pi
b)
500pi
c)
400pi
d)
300pi
12.
12
a)
2
b)
2sqrt(2)
c)
4sqrt(2)
d)
16
13.
13
a)
4x2-12x+9
b)
4x2-12x+6
c)
4x2-6x+9
d)
8x-12
14.
What is the basic ACT registration fee?
a)
$17.50
b)
$59.50
c)
Free, every time
d)
$39.50
15.
What was the average composite score last year?
a)
19
b)
20
c)
21
d)
22
16.
What is the highest you can score on the ACT?
a)
100
b)
26
c)
36
d)
1500
17.
The ACT is a ______ test.
a)
achievement
b)
aptitude
c)
math
d)
spanish
18.
99% of people get above what score on the ACT?
a)
12
b)
21
c)
25
d)
30
19.
How many minutes do you have for the science section?
a)
30
b)
35
c)
60
d)
75
20.
How many questions are on the math section?
a)
75
b)
60
c)
40
d)
30
21.
Which length is the height of a triangle?
a)
10 in.
b)
8 in.
c)
12 in.
d)
6 in.
22.
Which length is the base of a triangle?
a)
10 in.
b)
8 in.
c)
12 in.
d)
6 in.
23.
The longest side on the RIGHT triangle and is found on the opposite side from 90° angle is called
a)
hypotenuse
b)
leg
c)
base
d)
slope
24.
Distance around the CIRCLE is called
a)
circumference
b)
radius
c)
pi
d)
perimeter
25.
Distance around a polygon, a figure with at least three straight lines and angles, is called
a)
circumference
b)
radius
c)
pi
d)
perimeter
26.
Ratio showing how steep a straight line is called
a)
slope
b)
perpendicular
c)
matrix
d)
consecutive
27.
The smallest multiple that can be used for all denominators of two or more fractions is called
a)
least common denominator
b)
multiple of fractions
c)
equivalent denominator
d)
numerator
28.
Square, rectangle, rhombus, trapezoid, and kite shapes all are
a)
quadrilaterals
b)
collinears
c)
transversals
d)
radians
29.
There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?
a)
1:5
b)
1:6
c)
5:6
d)
5:11
30.
The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?
a)
$0.73
b)
$1.11
c)
$1.99
d)
$2.18
31.
Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?
a)
$3.00
b)
$6.00
c)
$2.50
d)
$3.50
32.
Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?
a)
15
b)
35
c)
40
d)
45
33.
What is 4% of 80?
a)
320
b)
32
c)
3.2
d)
0.032
34.
Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85. Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items. After the discount, Kyle must pay 6% sales tax on the shirt. How much does Kyle end up spending on this shirt for his girlfriend?
a)
$27.03
b)
$63.07
c)
$59.50
d)
$54.57
35.
Daphne always make sure to bring coupons to the store. While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price. After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.
a)
$3.78
b)
$3.63
c)
$$3.85
d)
$3.59
36.
Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?
a)
x < -9
b)
x < 5
c)
x<9
d)
x <39
37.
Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?
a)
x < -9
b)
x < 5
c)
x<9
d)
x <39
38.
Group A reacted to the caffeine pill as expected, displaying all typical signs of caffeine consumption. Surprisingly, many members of group B--who were given a placebo pill-- likewise showed signs of heightened energy, slight insomnia, and increased anxiety.
Which of the following would NOT be an appropriate alternative to the underlines section of this sentence?
Which of the following would NOT be an appropriate alternative to the underlines section of this sentence?
a)
otherwise
b)
similarly
c)
also
d)
OMIT the underlined section
39.
If q = -1, r = 4, and s = 7, what does (q + r - s) (r - q) equal
a)
2
b)
17
c)
3
d)
18
40.
What is the value of the expression (2x + y)(2x - y) when x = 4 and 4 = -5?
a)
39
b)
9
c)
13
d)
-9
41.
What is the value of 50 - 3(x² -y²) + x when
x= 6, and y = -4?
x= 6, and y = -4?
a)
-145
b)
-6
c)
-4
d)
44
42.
What is the value of the expression 2c(c + 3)² if c = 2?
a)
20
b)
40
c)
5
d)
100
43.
What is the value of the expression (a - b)³ when a = 3 and b = 4 ?
a)
-3
b)
-1
c)
1
d)
27
44.
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)
30°
b)
15°
c)
45°
d)
60°
45.
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)
(3/5)
b)
(3/8)
c)
(7/8)
d)
(5/8)
46.
A circle has a circumference of 16π feet. What is the radius of the circle, in feet?
a)
√8
b)
4
c)
8
d)
16
47.
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)
200
b)
15
c)
50
d)
3√15
48.
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)
(5,4)
d)
(5,5)
49.
Points A, B, C, and D are on a line such that B is between A and C, and C is between B andD. The distance from A to B is 6 units. The distance from B to C is twice the distance from Ato 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)
14
b)
18
c)
9
d)
6
50.
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
c)
n + b = a + c
d)
b - n > a - n
51.
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)
3.0
b)
3.4
c)
3.6
d)
3.7
52.
What is the difference between 1.8 and 1.08 ?
(Note: A bar indicates a digit pattern that is repeated.)
(Note: A bar indicates a digit pattern that is repeated.)
a)
0.71919...
b)
0.7111...
c)
0.7222...
d)
0.717171...
53.
Which of the following equations represents the linear relationship between time, t, and velocity, v, shown in the table below?
T-(0,1,2)
V-(120,152,184)
T-(0,1,2)
V-(120,152,184)
a)
v=32t
b)
v=32t+120
c)
v=120t
d)
v=120t+32
54.
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)
12.6
b)
4.2
c)
14.0
d)
18.0
55.
If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?
a)
-2
b)
-4
c)
0
d)
8
56.
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?
a)
$408.04
b)
$444.40
c)
$118.80
d)
$ 44.44
57.
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?
a)
4
b)
14
c)
16
d)
20
58.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
59.
What is the greatest common factor of 42, 126, and 210 ?
a)
2
b)
6
c)
21
d)
42
60.
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?
a)
16
b)
17.5
c)
20.5
d)
22
61.
In the figure below, ray was constructed starting from rays and . By using a compass, Dand G were marked equidistant from E on rays and . 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
a)
are equal
b)
are NOT equal
c)
sum to 45°
d)
sum to 30°
62.
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of D²/25 + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
a)
500
b)
800
c)
1250
d)
1750
63.
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?
a)
l = 2w + 3
b)
l = w – 3
c)
l = 2w – 3
d)
l = w + 3
64.
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
a)
158
b)
110
c)
70
d)
120
65.
How many irrational numbers are there between 1 and 6 ?
a)
1
b)
3
c)
4
d)
Infinitely Many
66.
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?
a)
44
b)
48
c)
54
d)
66
67.
In the standard (x, y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?
a)
(3,–7)
b)
(4,–8)
c)
(8,–3)
d)
(9,–3)
68.
The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 ½ inches long and has a lead of ⅛ inch, how many complete turns would get it all the way into a piece of wood?
a)
5
b)
15
c)
20
d)
25
69.
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
a)
18
b)
22
c)
4
d)
24
70.
Which of the following is the sine of A in the right triangle below?
a)
5/13
b)
5/12
c)
12/5
d)
12/13
71.
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. Salads - cole slaw, lettuse, potato. Soups - onion, tomato. Sandwiches - meat loaf, chicken, hamburger, ham, tenderloin. Drinks - milk, cola, coffe, tea.
How many different daily lunch specials are possible?
How many different daily lunch specials are possible?
a)
180
b)
120
c)
30
d)
14
72.
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = ⅓πr²h. 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?
a)
12
b)
8
c)
4
d)
2
73.
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?
a)
3
b)
21
c)
15
d)
225
74.
Which of the following is a factor of the polynomial 2x2 – 3x – 5 ?
a)
2x-5
b)
x-1
c)
2x-3
d)
3x+5
75.
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?
a)
3
b)
2
c)
4
d)
1
76.
What is x, the second term in the geometric series (1/4)+ x +(1/36) + (1/108) + … ?
(Note: In a geometric series the ratio of any term to the following term is constant.)
(Note: In a geometric series the ratio of any term to the following term is constant.)
a)
(1/3)
b)
(1/12)
c)
(1/9)
d)
(1/18)
77.
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 ?
a)
$56.00
b)
$77.60
c)
$50.00
d)
$44.00
78.
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 ?
a)
$56.00
b)
$77.60
c)
$50.00
d)
$44.00
79.
A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve?
a)
55
b)
122
c)
132
d)
158
80.
What is the x-intercept of the graph of y = x² – 4x + 4 ?
a)
-2
b)
-1
c)
1
d)
2
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