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Math Studies Year 1 2013-2014
BELLRINGERS
BELLRINGER #1

What is the area, in square feet, of the triangle
whose sides have lengths equal to 10, 6 and 8
feet?
A) 480
B) 24
C) 48
D) 30
E) 40
BELLRINGER #2

3102 + 9*3100 + 3103/3 = ?
A) 3101
B) 3102
C) 3103
D) 3104
E) 3105
BELLRINGER #3

Of the 80 students in class, 25 are studying German, 15
French and 13 Spanish. 3 are studying German and
French; 4 are studying French and Spanish; 2 are
studying German and Spanish; and none is studying all
3 languages at the same time. How many students are
not studying any of the three languages?
A) 27
B) 18
C) 53
D) 62
E) 36
BELLRINGER #4

Round (202)2 to the nearest hundred.
A) 40,000
B) 48,000
C) 40,800
D) 47,000
E) 49,000
BELLRINGER #5

A number of the form 213ab, where a and b
are digits, has a remainder less than 10 when
divided by 100. The sum of all the digits in the
above number is equal to 13. Find the digit b.
A) 5
B) 7
C) 6
D) 8
E) 9
BELLRINGER #6

Find a negative value of x that satisfies the
equation
[(x+1)2 - (2x + 1)]1/2 + 2|x| - 6 = 0
A) -5
B) -4
C) -3
D) -2
E) -1
BELLRINGER #7

The inequality x2 - 2x + 1 ≤ 0 has
A) no solutions
B) a set of solutions
C) 1 solution only
D) 2 solutions only
E) 3 solutions only
BELLRINGER #8
12 – n, 12, 12 + n
What is the average (arithmetic mean) of the 3
quantities in the list above?
a) 4 b) 12 c) 18 d) 4 +
𝑛
3
e) 12 +
𝑛
3
BELLRINGER #9

5
𝑥
If a ≠ 0 and =
a) -5
b) -1
5+𝑎
,
𝑥+𝑎
what’s the value of x?
c) 1
d) 2
e) 5
BELLRINGER #10
What is the maximum number of rectangular
blocks measuring 3 inches by 2 inches by 1
inch that can be packed into a cube-shaped
box whose interior measures 6 inches on an
edge?
a) 24
b) 28
c) 30
d) 36
e) 40

BELLRINGER #11
3x + 2y + 2z = 19
3x + y + z = 14
If the equations above are true, which of the
following is the value of y + z?
a) -5
b) -4 c) 0
d) 4
e) 5
BELLRINGER #12

A boat costs x dollars, and this cost is to be
shared equally by a group of people. In terms of
x, how many dollars less will each person
contribute if there are 4 people in the group
instead of 3?
a)
𝑥
12
b)
𝑥
4
c)
𝑥
3
d)
7𝑥
12
e) 7𝑥
BELLRINGER #13

If y = 2x + 3 and x < 2, which of the following
represents all the possible values for y?
a) y < 7
b) y > 7
c) y < 5
d) y > 5
e) 5 < y < 7
BELLRINGER #14
For all numbers a and b, let aΦb be defined by
aΦb = ab + a + b. For all numbers x, y and z,
which of the following must be true?
1) xΦy = yΦx
2) (x – 1)Φ(x + 1) = (xΦx) – 1
3) xΦ(y + z) = (xΦy) + (xΦz)
a) 1 only b) 2 only c) 3 only d) 1 and 2 only
e) 1, 2, and 3
BELLRINGER #15

If
1
y
3
+ 9 = 0, then y=
a) -27
b) -9 c) -3
d) 3
e) 27
BELLRINGER #16
Let the function of f be defined by
f(x) = 5x – 2a, where a is a constant. If f(10) +
f(5) = 55, what is the value of a?
a) -5 b) 0 c) 5 d) 10 e) 20

BELLRINGER #17

If m is a positive integer, which of the following
is NOT equal to (24)m?
a) 24m b) 42m c) 2m(23m) d) 4m(2m) e) 16m
BELLRINGER #18

A sphere of radius r inside a cube touches each
one of the six sides of the cube. What is the
volume of the cube, in terms of r?
a)
r3
b)
2r3
c)
4r3
d)
4
п𝑟3
3
e) 8r3
BELLRINGER #19
n(t) = 500(0.81)t
The function above can be used to model the population of a
certain endangered species of animal. If n(t) gives the number of
the species living t decades after the year 1900, which of the
following is true about the population of the species from 1900 to
1920?
a) It increased by 1,000
b) It increased by about 320
c) It increased by about 180
d) It increased by about 320
e) It decreased by about 1,000
BELLRINGER #20

How many different ordered pairs (x,y) are there
such that x is an even integer, where 4≤x≤10,
and y is an integer, where 4<y<10?
a) 8 b) 12 c) 20 d) 30 e) 36
BELLRINGER #21
If a, b, c and f are four nonzero numbers, then
all of the following proportions are equivalent
except:
a) a/f = b/c

BELLRINGER #22

( 2 - 3 )2 =
a) 5 - 2 6
b) 5 - 6
c) 1 - 2 6
d) 1 - 2
e) 1