Numbers & Operations
1
If a positive integer that is not a multiple of
possible remainder?
is divided by
what is the least
(A)
(B)
(C)
(D)
(E)
2
The diagram above shows the number of people who purchased one, two, or all
three of the ice cream flavors shown. If
people purchased strawberry ice
cream, how many people purchased chocolate ice cream?
(A)
(B)
(C)
(D)
(E)
Numbers & Operations
3
For how many values of
integer?
4
(A)
None
(B)
One
(C)
Three
(D)
Four
(E)
Five
The ratio of
?
to
is
where
is a positive integer less than
and the ratio of
to
is
is
an
. What is the ratio of
(A)
(B)
(C)
(D)
(E)
5
Jamal ran a distance of
feet. Lonnie ran a distance of
yards. What is the
ratio of the distance Jamal ran to the distance Lonnie ran? ( feet
yard)
(A)
(B)
(C)
(D)
(E)
to
Numbers & Operations
6
On the number line above, the arrow corresponding to which letter points to a
number that makes the value of
positive?
(A)
(B)
(C)
(D)
(E)
7
In the integer above, the in the place labeled represents a value that is how
many times the value represented by the in the place labeled
(A)
(B)
(C)
(D)
(E)
Numbers & Operations
8
If the product of five integers is negative, then, at most, how many of the five
integers could be negative?
(A)
One
(B)
Two
(C)
Three
(D)
Four
(E)
Five
9
Pat and Lee are removing cartons from a truck. Pat removes
of the number of
cartons from the truck, and Lee removes of the number of cartons. After that,
there are
cartons left in the truck. How many cartons were originally in the
truck?
(A)
(B)
(C)
(D)
(E)
Numbers & Operations
10
A student states that for any positive integer the sum of successive integers is
always divisible by Which of the following can be used to disprove the
student's statement?
(A)
(B)
(C)
(D)
(E)
11
Which of the following could be the exact value of
where
is an integer?
(A)
(B)
(C)
(D)
(E)
12
The first term of a sequence of integers is
to
Every term after the first is equal
of the preceding term if that term is even, or is equal to
term plus
(A)
(B)
(C)
(D)
(E)
of the preceding
if that term is odd. What is the fifth term of the sequence?
Numbers & Operations
13
Which of the following sets of numbers has the property that the product of any
two numbers in the set is also a number in the set?
I.
II.
III.
The set of even integers
The set of prime numbers
The set of positive numbers
(A)
I only
(B)
II only
(C)
I and III only
(D)
II and III only
(E)
I, II and III
14
On the number line above, which point could correspond to
(A)
(B)
(C)
(D)
(E)
Numbers & Operations
15
This year, Ms. Nelson’s class has
about these students must be true?
I.
II.
students. Which of the following statements
This year, at least two of these students have their birthdays on a Sunday.
This year, at least two of these students have their birthdays on the same
day of the week.
At least two of these students have their birthdays in the same month.
III.
(A)
I only
(B)
III only
(C)
I and II only
(D)
II and III only
(E)
I, II, and III
16 which of the following is not equal to 5/9?
A. 10/18
B. 20/36
C. 30/45
D. 35/63
E. 50/90
17 in which of the following choices would the symbol > create an incorrect
statement.
A. 1/4 3/10
B. 2/3 1/2
C. 4/7 5/9
D. 7/8 3/4
E. 5/6 7/9
18 (17-3) / 7-2 (-4-8)=?
A. –20
B. –2
C. 26
D. 31
E. 34
Numbers & Operations
19 3/4 / 3/8 =
A. 9/12
B. 1/2
C. 32/9
D. 2
E. 3/2
20 what is the next term in the sequence: 2,8,32,128…?
21 if 3x+2=81 then x =
A. 5
B. 4
C. 3
D. 2
E. 1
22 the first term in geometric sequence is 3 and the 4th term is 81. What is the 10th
term of the sequence?
A. 177,147
B. 59,049
C. 19,683
D. 6,561
E. 2,187
23 multiplying a number by 4/5 and the dividing by 2/5 is the same as doing what to
the number?
A. dividing by 4
B. multiplying by 1/2
C. multiplying by 2
D. dividing by 5
E. multiplying by 5
24
(3/5 + 1/3) / 1 2/5 =
25 17In weeks,
cartons of juice were sold in the school cafeteria. At this
rate, how many cartons of juice would one expect to be sold in weeks?
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Numbers & Operations