Bergen Academies
Sample Test #1
This test resembles the math portion of the Bergen County Academies entrance
exam which will be given in January. Applicants are given sixty minutes without a
calculator to complete the 40-question test. In scoring, two points are given for each
correct answer and one-half point is deducted for each incorrect answer.
Unanswered questions are not counted.
The answers are:
01 - 10
11 - 20
21 - 30
31 - 40
ADBBA
CEDAE
DDBEB
EACCE
AAEDD
CDEDB
DCABD
CCBDB
1. Evaluate the following fraction:
6. What percent of 20 is 66?
1
6
=
2
1+
3
4+
A 5/2
B 11/5 C 2/5
D 5/11 E 5
2. What is the value of A?
3744
- 5 A6
317 8
A 0 or 1
D 6 or 7
A 330
E 33.3
√15 × 20 × 12
A
C 4 or 5
3. Find the sum:
A 60
8
0.33 + 0.033 + 0.0033 =
4. How much is
D 333
7. Calculate the value of:
B 2 or 3
E 8 or 9
A 0.3333
D 0.6666
B 30.3 C 303
B 0.3663
E 0.3696
C 0.6336
1
of 50%?
200
B 120
C 200
E 600
The reciprocal of a number is one divided by
that number. What is the value of the
reciprocal of (2/3 + 3/2)?
A 13/6 B 1/13 C 1/6
9
D 400
D6
E 6/13
Calculate the following to the nearest
hundredth:
1 1
+
=
2 30
A 0.1%
D 2.5%
B 0.25%
E 10%
C 1%
A 0.50 B 0.51 C 0.52 D 0.53 E 0.54
5. Which of the following has the largest value?
A 7/9
B 2/3
C 8/11 D 9/12 E 7/10
11 Find the smallest whole number which is larger
than the sum:
1
1
1
2 +3 +4
3
4
2
A9
B 10
C 11
D 12
E 13
12 In what range does the value of the following
expression occur?
10 If 2% of a number is 8, then that number is:
A 0.16 B 4
C 16
D 400
E 800
16 When I open my math book, two pages face me
and the sum of their two page numbers is 317.
What is the number of the very next page?
A 158
B 159
C 160
D 161
E 162
17 A factory runs nonstop for three 14-hour shifts.
The first shift starts at 9:00 AM. At what times
does their third shift end?
62 + 72
A<6
D 8 to 9
B 6 to 7
E>9
C 7 to 8
13 Solve the following:
A 12:00 PM
D 3:00 AM
B 1:00 AM
E 4:00 AM
C 2:00 AM
18 Maria's Grocery Store buys grapefruit at a cost
of 5 for a dollar. They sell them at a price of 5
for three dollars. How many must they sell in
order to make a profit of ten dollars?
│2 - (-2)2 - (-2)3│=
A0
B2
C4
D6
E8
14 If A # B means the same thing as 2 A - B, then
1 # ( (2 # 3) # 4) equals:
A 4
B2
C0
D -2
E -4
A 15
B 17
C 19
D 20
E 25
19 In hockey standings, a win counts for 2 points,
a tie counts for 1 point and a loss counts for 0
points. In their first 10 games, the Devils won
5, lost 4 and tied 1 game. If they continue at
that same rate, how many points will they have
accumulated after they have played a total of
80 games?
A 48
B 78
C 80
D 88
E 96
15 What is the area, in cm2, of the smallest square
that will contain a circle of radius 4 cm?
A4
B8
C 16
D 32
E 64
21 What fraction of 4 hours is 15 seconds?
A 1/16
D 1/960
B 1/64
E 1/9600
C 1/760
22 Find the numerical value of the fraction:
1
1+
A 1/6
B 3/10
1
2+
=
C 5/6
D 7/10 E 2/3
π
=
92.8
B .025 - .050
D .076 - .100
E >.100
24 1/9 is the square root of what number?
A 1/3
B 2/9
A2
B3
C4
D5
E6
26 Homer Simpson left an estate of $2.4 million.
He left 10% to Springfield University, 15% to
the First Church of Springfield, $600,000 to his
wife, Marge, and the remainder to be divided
among his three children. How much did each
child receive?
A $240,000
D $400,000
B $300,000
E $440,000
C $360,000
27 It takes 7 tubes of glue to construct 15 model
boats. How many whole tubes of glue must I
purchase in order to make 10 model boats?
1
3
23 Estimate the numerical value of the following
fraction:
A <.025
C .051 - .075
20 What is the least number of colors needed to
paint a cube so that no two adjacent faces have
the same color?
C 1/18
D 1/27
E 1/81
A3
B4
C5
D6
E7
28 If January 28, 2001 is a Sunday, what day of
the week is February 28, 2001? (January has
31 days.)
A Wednesday B Tuesday
D Friday
E Thursday
C Monday
29 What is the concentration of a sugar solution
made by mixing 1 kilogram of 12% sugar
solution with 2 kilograms of water.
A 3%
B 4%
C 6%
D 8%
E 9%
25 In a class of 30 students, 12 are boys. If 6 more
boys are admitted, what fraction of the class is
now boys?
A 1/3
B 1/2
C 2/5
D 3/5
E 1/5
31 In the first five math quizzes, Patty had an
average score of 8. She got a 7 and a 5 on the
next two quizzes. After the eighth quiz, her
average stood at 7.5. What was her score on the
eighth quiz?
A5
B6
C 6.5
D 7.5
E8
32 There are 60 grains in a dram, 8 drams in an
ounce and 3 scruples in a dram. How many
grains are in a scruple?
A 20
B 22.5 C 40
D 160
E 180
33 The product of 3.37 × 4.13 is most nearly equal
to:
A 12
B 13
C 14
D 15
E 16
34 How many 2-digit, even number are greater
than 40?
A <28
B 28
C 29
D 30
E >30
30 An airplane leaves New York at 1:10 PM and
arrives in Miami, 1125 miles away, at 3:40 PM.
What is its average speed in miles per hour?
A 260
B 375
C 420
D 450
E 489
36 What is the least common multiple of 16 and
36?
A 72
B 108
C 144
D 288
E 576
37 Successive discounts of 10% and 20% are equal
to what single discount? Give your answer to
the nearest whole percent.
A 18% B 25% C 28% D 30% E 38%
38 Brooklyn Pizza sells pizza with a choice of 5
toppings. How many combinations of two
different toppings can be bought at Brooklyn
Pizza?
A5
B 10
C 15
D 20
E 25
39 Two students can eat 4 doughnuts in 6
minutes. At this rate how many doughnuts will
be eaten by 8 students in 9 minutes?
A 12
B 15
C 18
D 24
E 30
35 Multiplying by 3/4 and then dividing by 3/5 is
the same as dividing by what?
A 5/4
criteria
B 1/3
C 4/3
D 1/5
E 4/5
40 In the next three days, 2000 people will move to
New Jersey. How many people, on average, will
move to New Jersey each hour? Express your
answer to the nearest whole number.
A 27
B 28
C 29
D 30
E 32