Transcript ACT summer 5

1. What is the number of sides of
a polygon having the sum of the
interior angles equal to 900º?
A.
B.
C.
D.
E.
3
5
7
9
11
Talk to your partner about the
strategies students might use to
answer the previous problem.
2. Given the equation L = 72(v +140) ,
what is the value of v when L = 50?
A.
B.
C.
D.
E.
105
35
15
5
2
.54
7
How well do your students
substitute values for variables?
A.
B.
C.
D.
E.
Not well
Somewhat well
Moderately well
Well
Very well
3. If k is 0, which one of the following is
NOT a real number?
A.
B.
6k
6
k
.
C.
k2
D.
.k
k
.6
E.
What percent of your students will
correctly answer the previous question?
A.
B.
C.
D.
E.
0%
25%
50%
75%
100%
4. If the radius of a cylinder is doubled
and the original height is maintained,
what is true of the volume?
A.
B.
C.
D.
E.
It is multiplied by 2
It is multiplied by π
It is multiplied by 4
It is multiplied by 2
It is multiplied by 2π
I drew a sketch to solve this
problem.
True
False
5. A tank may be filled by water flowing at the
same speed through a 1-inch diameter pipe or a
2-inch diameter pipe. The time required to fill the
tank using the small pipe is how may times as
long as the time required using the larger pipe?
A.
B.
C.
D.
E.
1
2
1
Twice as long
3 times as long
4 times as long
5 times as long
Talk to a partner about how
helpful a calculator would be in
solving the previous problem.
6. Which are two numbers whose
geometric mean is 6?
A.
B.
C.
D.
E.
18 and 1
4 and 8
12 and 0
9 and 4
8 and 2
Which two answers can be
eliminated quickly? Why?
A.
B.
C.
D.
E.
A and C
A and E
B and E
C and D
D and E
7. 10x • 10y =
A.
B.
C.
D.
E.
10xy
10x + 10y
10(x + y)
10xy
10x+y
What rules of exponents might
be reviewed after this question?
8. If 3x – y < -2, which of the following
is an equivalent open sentence?
A.
B.
C.
D.
E.
y > 2 + 3x
y > 2 – 3x
y < 2 + 3x
y < 3x – 2
None of these
Which answers are obviously
invalid? Why?
A.
B.
C.
D.
E.
A and B
B and C
A and D
C and D
B and D
9. If the diagonal of a face of a cube is
3 inches, how long is the edge of the
cube in inches?
A.
B.
C.
D.
E.
4
5
3
.2 2
2
.3 3
None of these
Talk with your partner about
how you might use the previous
question to talk about
operations on radicals.
10. A collection of nickels, dimes, and quarters
amounts to $4.50. If there are 57 coins in all and
there are three times as many nickels as there are
dimes, how many quarters are in the collection?
A.
B.
C.
D.
E.
2
4
5
13
16
What strategies were used to
solve this problem?