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Flex Activity
Sample ACT Problems
11 of 30
Name: ______________________________________
Date: _________
Score: _______
MATHEMATICS TEST
8 Minutes—8 Questions
DIRECTIONS: Solve each problem, choose the correct
answer, and then fill in the corresponding oval on your
answer document.
but some of the problems may best be done without
using a calculator.
Note:Unless otherwise stated, all of the following should
be assumed.
Do not linger over problems that take too much time.
Solve as many as you can; then return to the others in
the time you have left for this test.
1. Illustrative figures are NOT necessarily drawn to scale.
2. Geometric figures lie in a plane.
3. The word line indicates a straight line.
4. The word average indicates arithmetic mean.
You are permitted to use a calculator on this test. You
may use your calculator for any problems you choose,
Pre-Algebra 23% ~ about 14 out of 60
1. If there are 8  1012 hydrogen molecules in a volume
4
of 4  10 cubic centimeters, what is the average number
of hydrogen molecules per cubic centimeter?
F.
5  109 G. 2  103 H. 2  108
16
48
J. 32  10
K. 32  10
F.
1
2
G.
1
4
H.
2
15
J.
4
15
1
1
and ?
5
3
8
K.
15
J. Find the average of the two numbers.
H. Divide the amount of molecules by
volume.
1 1  8 
     8 1 4
 5 3    15    
2
2
15 2 15
8X1012 = 2 X 1012 – 4 = 2 X 108
4X104
3. Which of the following is a rational number?
5
A. 2
B. 
C. 7
D.
E.
25
2. What rational number is halfway between
64
49
E. A rational number can be written as a ratio of two integers, where the denominator is
not zero. As a decimal, a rational number terminates or repeats.
Elementary Algebra 17% ~ about 10 out of 60
4. The 6 consecutive integers below add up to 447.
x 2, x 1, x, x 1, x 2, x 3
What is the value of x ?
F. 72 G. 73 H. 74
J. 75
K. 76
H. Add the six consecutive integers and set the sum equal to 447. Solve for x.
x – 2 + x – 1 + x + x + 1 + x + 2 + x + 3 = 447
6x + 3 = 447
6x = 444
X = 74
Intermediate Algebra 15% ~ about 9 out of 60
5. A formula used to compute the current value of a savings account is A  P(1  r )n ,where A is the current value; P is the
amount deposited; r is the rate of interest for 1 compounding period, expressed as a decimal; and n is the number of
compounding periods. Which of the following is closest to the value of a savings account after 5 years if $10,000 is deposited
at 4% annual interest compounded yearly?
F. $10,400 G. $12,167 H. $42,000 J. $52,000 K. $53,782
G. Use the formula and replace P with 10,000, r with 0.04 and n with 5.
A  10,000(1  0.04)5  $12,166.5  $12,167
Coordinate Geometry 15% ~ about 9 out of 60
6. Which of the following is the slope of a line parallel to the line y 
coordinate plane?
3
A. 4 B.  
C. 2
2
D.
3
2
E.
2
x  4 in the standard (x,y)
3
2
3
E. Parallel lines have the same slope. Thus, both lines have a slope of
2
.
3
Plane Geometry 23% ~ about 14 out of 60
7. Cube A has an edge length of 2 inches. Cube B has an 8. A right circular cylinder is shown in the figure below,
edge length double that of Cube A. What is the
volume, in cubic inches, of Cube B ?
A. 4
Cube B
B. 8
Cube A
C. 16
D. 32
E. 64
2 in
4 in
E. If Cube B’s edge length is double the
edge length of Cube a, if edge length is 4
inches. Thus, its volume is
with dimensions given in centimeters. What is the total
surface area of this cylinder, in square centimeters?
(Note: The total surface area of a cylinder is given by
2r 2  2rh where r is the radius and h is the height.)
A. , 300 
B. , 400 
C. , 500 
D. , 600 
E. 1,600
VB  s 3  43  64in3 .
D. The radius of the cylinder is 10 cm and the
height is 20 cm. Use the given formula and
the values to find the total surface area.
SA  2 r 2  2 rh  2 (10)2  2 (10)(20)  600 cm2