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WorksheetsACT Math Review
Total questions: 65
Worksheet time: 2hrs 50mins
Name
Class
Date
1.
What is the value of the expression (y-x)³ when x =5 and y = 1?
a)
-64
b)
64
c)
-4
d)
16
2.
What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?
a)
15
b)
30
c)
60
d)
90
3.
If [-s + h(t⋅3-w)]r = 1, then which of the following variables CANNOT equal 0?
a)
h
b)
r
c)
s
d)
t
4.
In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?
a)
514
b)
2,202
c)
5,138
d)
7,120
5.
For all x<3, (3 - 2x)² = ?
a)
9 - x²
b)
9 + x²
c)
9 - 10x - 4x²
d)
9 - 12x + 4x²
6.
What is the slope intercept form of the equation: 3y + 2x = 24?
a)
y = -⅔x + 8
b)
y = -3/2x + 12
c)
m = 2b + 24
d)
y = 2x + 24
7.
What is the slope of the line perpendicular to the line 3x + 2y = 19?
a)
-3/2
b)
-2/3
c)
2/3
d)
3/2
8.
The volume of a cone is given by the formula: V = π/3 r² h, where r is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm and a base with a radius of 3 cm?
a)
72π
b)
48π
c)
24π
d)
12π
9.
Given m and n are parallel lines, t is a transversal crossing both m and n, and m∡8 = 100 degrees, what is the measure of ∡3?
a)
50 degrees
b)
80 degrees
c)
100 degrees
d)
120 degrees
10.
In the figure ∡B = 40°, and ∡W = 75°. What is the measure of ∡H?
a)
35 degrees
b)
65 degrees
c)
70 degrees
d)
75 degrees
11.
1 km = 1000 m
3000 m = _____ ?
3000 m = _____ ?
a)
30 km
b)
3 km
c)
0.3 km
d)
3000 km
12.
Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
a)
50 minutes
b)
1 hour and 10 minutes
c)
1 hour and 12 minutes
d)
1 hour and 20 minutes
13.
Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
a)
35
b)
36
c)
38
d)
39
14.
f 5x+ 3 = 10x– 17, what is the value of x?
a)
1
b)
2
c)
3
d)
4
15.
The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
a)
13
b)
14
c)
15
d)
18
16.
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
a)
$2,400
b)
$2,600
c)
$3,000
d)
$2,800
17.
When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?
a)
10
b)
12
c)
8
d)
14
18.
Which of the following is equal to (n– 3)2if n= 11?
a)
(n+ 6)(n– 6)
b)
(n+ 5)(n– 7)
c)
(n+ 2)(n– 10)
d)
(n+ 3)(n– 9)
19.
A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?
a)
150 feet
b)
178 feet
c)
212 feet
d)
260 feet
20.
What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4, –3)?
a)
–1
b)
2
c)
-2
d)
1/2
21.
Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?
a)
1,000
b)
1,250
c)
1,500
d)
2,000
22.
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?
a)
12
b)
13
c)
15
d)
18
23.
A rectangular box has two sides whose lengths are 3 centimeters and 9 centimeters and a volume of 135 cm3. What is the area of its largest side?
a)
27 cm2
b)
36 cm2
c)
39 cm2
d)
45 cm2
24.
If a and b are the two values of t that satisfy the equation t2– 6t+ 8 = 0, with a> b,what is the value of a– b?
a)
2
b)
4
c)
6
d)
8
25.
If you graph the lines 3x+ 2y= –2 and 5x– y= 14 on a standard xy-graph, at which point will the lines intersect?
a)
(1, –7)
b)
(2, –4)
c)
(–5, 4)
d)
(11, 2)
26.
Anderson has a phone plan that charges a monthly rate of $50 for the first 1,000 minutes plus $0.25 for each additional minute. Which of the following functions models Anderson’s plan for all m> 1,000, with mas the number of minutes per month and f(m) as the monthly charge?
a)
f(m) = 0.25m
b)
f(m) = 0.25m+ 50
c)
f(m) = 0.25m– 200
d)
f(m) = 0.25m+ 1,000
27.
What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?
a)
-2
b)
-1
c)
1
d)
2
28.
What is the solution set for x for the inequality
|2x+ 7| > 11?
|2x+ 7| > 11?
a)
2 < x< 9
b)
–9 < x< 2
c)
x< –2 or x> 9
d)
x< –9 or x> 2
29.
If pq+ 12 = 3p+ pr,and q– r= 7, what is the value of p?
a)
-3
b)
-4
c)
-7
d)
-2
30.
On his first day working out, Anthony did 30 push-ups. On each successive day, he did exactly 3 more push-ups than on the previous day. After completing his push-ups on the 30th day, how many push-ups had he completed on all 30 days?
a)
fewer than 500
b)
between 500 and 1,000
c)
more than 2,000
d)
between 1,500 and 2,000
31.
Given that i2= –1, what is the value of (4 + 2i)(4 – 2i)?
a)
12
b)
20
c)
8
d)
10
32.
Area of a Triangle
a)
A = 1/2h(b1 + b2)
b)
A = bh
c)
A = 1/2bh
33.
Area of a Parallelogram
a)
A = 1/2h(b1 +b2)
b)
A = bh
c)
A = 1/2bh
34.
Area of a Trapezoid
a)
A = 1/2h(b1 + b2)
b)
A = bh
c)
A = 1/2bh
35.
Area of a Square
a)
A = 1/2h(b1 + b2)
b)
A = bh
c)
A - 1/2bh
36.
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
37.
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
38.
2
a)
1,2
b)
1,2,5,6
c)
1,2,9,10
d)
1,2,5,6,9,10
39.
3
a)
-4
b)
-3.5
c)
2
d)
.66
40.
8
a)
10/12
b)
12/10
c)
sqrt(44)/12
d)
10/sqrt(44)
41.
9
a)
180
b)
231
c)
309
d)
360
42.
9
a)
180
b)
231
c)
309
d)
360
43.
10
a)
600pi
b)
500pi
c)
400pi
d)
300pi
44.
12
a)
2
b)
2sqrt(2)
c)
4sqrt(2)
d)
16
45.
13
a)
4x2-12x+9
b)
4x2-12x+6
c)
4x2-6x+9
d)
8x-12
46.
Solve for x.
a)
3
b)
5
c)
6
d)
8
47.
Solve for x.
a)
5
b)
-2
c)
4
d)
12
48.
Solve for x.
a)
4
b)
-6
c)
-4
d)
6
49.
Find the missing side.
a)
9.4 km
b)
8.8 km
c)
1.9 km
d)
12.9 km
50.
Solve for x.
a)
-6
b)
7
c)
12
d)
-11
51.
Solve for the variable.
a)
-1.2
b)
-3
c)
-6.6
d)
3.2
52.
Solve for the variable.
a)
1.6
b)
-10.478
c)
-6
d)
5.5
53.
Solve for the variable.
a)
11
b)
-7.5
c)
35
d)
-2.52
54.
Solve for the variable.
a)
8.25
b)
4
c)
5.2
d)
6
55.
Name the triangle by its sides
a)
equilateral
b)
scalene
c)
isosceles
56.
Name the triangle by its sides
a)
equilateral
b)
isosceles
c)
scalene
57.
What's wrong with this picture?
a)
The angles should be equal.
b)
The 114 is too big.
c)
The 56 should be 66.
d)
They should equal 90
58.
What's wrong with this picture?
a)
The interior angles will not add up to 360.
b)
The exterior angles will not add up to 360.
c)
The interior angles should add up to 720.
d)
All 5 exterior angles should be congruent.
59.
Solve this system of equations.
a)
(3, 21)
b)
(12, 48)
c)
(2, 18)
d)
(5, 3)
60.
Re-write this equation in standard form.
a)
x2 - 14x - 14
b)
x2 - 4x - 45
c)
x2 + 5x - 45
d)
x2 - 5x + 9
61.
Factor this equation to determine the roots (x-intercepts)
a)
x = 10, x = 21
b)
x = 5, x = 10.5
c)
x = 7, x = 3
d)
x = -3, x = -7
62.
Name a chord.
a)
QP
b)
CB
c)
AO
d)
SR
63.
Find the complement of a 37° angle.
a)
37°
b)
53°
c)
90°
d)
143°
64.
What is the scale factor? Put answer in simplest form
a)
3/1
b)
1/3
c)
3/2
d)
2/3
65.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
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