Transcript ACT summer 4

1. On a math test, 12 students earned an A.
This number is exactly 25% of the total
number of students in the class. How many
students are in the class?
A.
B.
C.
D.
E.
15
16
21
30
48
What did you use to solve the
problem?
A.
B.
C.
D.
E.
25%
0.25
1
.4
.1
2
None of the above
2. What is the fifth term of the
arithmetic sequence 8, 6, 4, . . . ?
A.
B.
C.
D.
E.
-2
0
4
8
16
How long did it take you to select
your answer?
A.
B.
C.
D.
E.
Less than 10 seconds
Between 10 and 15 seconds
About 30 seconds
About 50 seconds
More than 60 seconds
3. Three pieces of wire, each 2.8
meters long, are cut from the end
of a wire 90 meters long. How
many meters of wire are left?
A. 81.6
B. 82.6
C. 83.2
D. 83.6
E. 87.2
Talk with someone about how to solve this
problem without “doing the math”
4. If x3 = 20 and x is a real
number, then x lies between which
two consecutive integers?
A.
B.
C.
D.
E.
2 and 3
3 and 4
4 and 5
5 and 6
6 and 7
Is x closer to 2 or 3? How do you know?
5. What is the area, in square meters, of a
right triangle with sides of length 8
meters, 15 meters, and 17 meters?
A.
B.
C.
D.
E.
40
60
68
120
127.5
What knowledge is needed to answer the
pervious question?
6.
A.
B.
C.
D.
E.
For what value of a would the following
system of equations have an infinite
number of solutions?
2x – y = 6
8x – 4y = 3a
2
6
8
18
24
Why is the previous question so dangerous?
7. Two numbers have a greatest
common factor of 4 and a least
common multiple of 24. Which of the
following could be the pair of numbers?
A.
B.
C.
D.
E.
4 and 8
4 and 12
8 and 12
8 and 24
12 and 24
What percent of your students will
answer the previous question
correctly?
A.
B.
C.
D.
E.
25%
50%
70%
90%
100%
8. A certain circle as an area
of  square inches. How many
inches long is its radius?
A.
B.
C.
D.
E.
1
.2
1
2

.2

What content strand(s) does this
question address?
A.
B.
C.
D.
E.
Number/Operation
Algebra
Geometry
Probability and Statistics
Measurement
9. If A, B and C are real numbers,
and if ABC = 1, which of the
following conditions must be true?
1
C
A. AB is equal to
B. A, B, and C must all be positive
C. Either A = 1, B = 1, or C = 1
D. Either A = 0, B = 0, or C = 0
E. Either A < 1, B < 1, or C < 1
I read all the choice before
choosing my answer.
True
False
10. Martin has an empty bag and puts in 3
red marbles. He now wants to put in
enough green marbles so the probability of
drawing a red marble at random from the
1
bag is 4 . How many green marbles
should he put in?
A.
B.
C.
D.
E.
1
3
5
9
12
My students know that there will
be a few probability questions
on the ACT.
True
False