Download PRACTISE PAPER

PRACTISE PAPER
1.
If a + b + c = 110, a = 4b, and 3a = 2c, then b =
(a) 6
(b) 8
(c) 9
(d) 10
(e) 14
2.
A number x is increased by 30 percent, and then the result is decreased by 20
percent. What is the final result of these changes?
(a) x is increased by 10 percent
(b) x is increased by 6 percent
(c) x is increased by 4 percent
(d) x is increased by 5 percent
(e) x is decreased by 10 percent
3.
A certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many
more minutes would it takes to drain a full 6oo-gallon tank?
(a) 9
(b) 15
(c) 18
(d) 24
(e) 25
4.
A 7.5 -L mixture of water and molasses is 60 percent molasses. If 1.5 L of water is
added, approximately what percent of the new mixture is molasses?
(a) 40%
(b) 50%
(c) 63%
(d) 64%
(e) 68%
5.
When n is divided by 7, the remainder is 4. What is the remainder when 2n is divided
by 7?
(a) 0
(b) 1
(c) 2
(d) 3
(e) 4
6.
Last year Edna’s annual salary was $20000. This year’s raise brings her to an annual
salary of $25000. If she gets a raise of the same percentage every year, what will her
salary be next year?
(a) $27500
(b) $30000
(c) $31250
(d) $32500
(e) $35500
7.
Set I = {2, 3, 4, 5}
Set II = {1, 2, 3}
If x is a number generated by multiplying a number from Set I by a number from Set II,
how many possible values of x are greater than 5?
(a) 3
(b) 4
(c) 5
(d) 6
(e) 7
8.
When z is divided by 8, the remainder is 5. What is the remainder when 4z is divided
by 8?
(a) 1
(b) 3
(c) 4
(d) 5
(e) 7
9.
A three-digit code is made up of three different digits from the set {2, 4, 6, 8}. If 2 is
always the first digit in the code, how many three-digit codes can be formed if each
digit is used only once?
(a) 6
(b) 8
(c) 10
(d) 12
(e) 16
10.
The average (arithmetic mean) of six numbers is 16. If five of the numbers are 15, 37,
16, 9 and 23, what is the sixth number?
(a) -20
(b) -4
(c) 0
(d) 6
(e) 16
11.
If Andy drove 120 miles in x hours at constant speed, how many miles did he travel in
the first 20 minutes of his trip?
(a) 60x
(b) 3x
(c) 120/x
(d) 40/x
(e) 6/x
12.
Magazine A has a total of 28 pages, 16 of which are advertisements and 12 of which
are articles. Magazine B has a total of 35 pages, all of them either advertisements or
articles. If the ratio of the number of pages of advertisements to the number of pages
of articles is the same for both magazines, then Magazine B has how many more
pages of advertisements than Magazine A?
(a) 2
(b) 3
(c) 4
(d) 5
(e) 6
13.
A bracelet is made up of colored beads in the repeated sequence red, orange,
yellow, green, blue, indigo and violet. If the first bead in the bracelet is red and the last
is yellow, then the total number of beads in the bracelet could be:
(a) 48
(b) 49
(c) 50
(d) 51
(e) 52
14.
If a sweater sells for $48 after a 25 percent markdown, what was its original price?
(a) $56
(b) $60
(c) $64
(d) $68
(e) $72
15.
Three people stop for lunch at a hot dog stand. If each person orders one item and
there are three items to choose from, how many different combinations of food could
be purchased?
(a) 6
(b) 9
(c) 10
(d) 18
(e) 27
16.
If the first term in a geometric sequence is 4, and the fifth term is 64, what is the eighth
term?
(a) 512
(b) 864
(c) 1,245
(d) 13,404
(e) 22,682
17.
If │r + 7│< 2, which of the following statements are true?
I. r < -9
II. r < -5
III. r > -9
(a) I only
(b) II only
(c) III only
(d) I and II only
18.
(e) II, III only
If the length of a sea turtle is directly proportional to its age, and a 2-year-old sea turtle
is 3 inches long, how many feet long is an 80-year-old sea turtle?
(a) 10
(b) 12
(c) 100
(d) 120
(e) 144
19.
A scientist is running an experiment with two species of bacteria that grow
exponentially. If species A doubles in population every 2 days, species B doubles in
population every 5 days, and each species began the experiment with a population
of 50 bacteria, what will be the difference between the populations of the two species
after 10 days?
(a) 200
(b) 800
(c) 1,200
(d)1,400
(e) 1,500
20.
The rate at which a certain balloon travels is inversely proportional to the amount of
weight attached to it. If the balloon travels at 10 inches per second when there is a 2gram weight attached to it, approximately how much weight must be attached to
the balloon for it to travel 18 inches per second? (in grams)
(a) 0.4
(b) 1.0
(c) 1.1
(d) 3.6
(e) 10.0
21.
Sammy purchased a new car in 2000. Three years later, he sold it to a dealer for 40
percent less than he paid for it in 2000. The dealer then added 20 percent onto the
price he paid and resold it to another customer. The price the final customer paid for
the car was what percent of the original price Sammy paid in 2000?
(a) 40%
(b) 60%
(c) 72%
(d) 80%
(e) 88%
22.
In a class of 27 students, the average (arithmetic mean) score of the male students on
the final exam was 83. If the average score of the 15 female students in the class was
92, what was the average of the whole class?
(a) 86.2
(b) 87.0
(c) 87.5
(d) 88.0
(e) 88.2
23.
Phillip’s coin collection consists of quarters, dimes and nickels. If the ratio of the
number of quarters to the number of dimes is 5 : 2, and the ratio of the number of
dimes to the number of nickels is 3 : 4, what is the ratio of the number of quarters to the
number of nickels?
(a) 5 : 4
(b) 7 : 5
(c) 10 : 6
(d) 12 : 7
(e) 15 : 8
24.
If n ≠ 0, then which of the following must be true?
I. n2 > n
II. 2n > n
III. n + 1> n
(a) I only
(b) II only
(c) III only
25.
(d) I and III only
(e) I, II & III
At a certain restaurant, the hourly wage for a waiter is 20 percent more than the hourly
wage for a dishwasher, and the hourly wage for a dishwasher is half as much as the
hourly wage for a cook’s assistant. If a cook’s assistant earns $8.50 per hour, how much
less than a cook’s assistant does a waiter earn each hour?
(a) $2.55
(b) $3.40
(c) $4.25
(d) $5.10
(e) $5.95
26.
A certain school event was open only to juniors and seniors. Half the number of juniors
who had planned to attend actually attended. Double the number of seniors who
had planned to attend actually attended. If the ratio of the number of juniors who
had planned to attend to the number of seniors who had planned to attend was 4 to
5, then juniors were what fraction of attendees?
(a) 1/6
(b) 1/5
(c) 4/19
(d) 4/15
(e) It cannot be determined from the information given
27.
Pump 1 can drain a 400-gallon-water tank in 1.2 hours. Pump 2 can drain the same
tank in 1.8 hours. How many minutes longer than pump 1would it takes pump 2 to
drain a 100-gallon tank?
(a) 0.15
(b) 1.2
(c) 6
(d) 9
(e) 18
28.
A reservoir is at full capacity at the beginning of summer. By the first day of fall, the
level in the reservoir is 30 percent below full capacity. Then during the fall, a period of
heavy rains increases the level by 30 percent. After the rains, the reservoir is at what
percent of its full capacity?
(a) 60%
(b) 85%
(c) 91%
(d) 95%
(e) 100%
29.
Two classes, one with 50 students and the other with 30, take the same exam. The
combined average of both classes is 84.5. If the larger class averages 80, what is the
average of the smaller class?
(a) 87.2
(b) 89.0
(c) 92.0
(d) 93.3
(e) 94.5
30.
In a pet shop, the ratio of puppies to kittens is 7 : 6, and the ratio of kittens to guinea
pigs is 5 : 3. What is the ratio of puppies to guinea pigs?
(a) 7 : 3
(b) 6 : 5
(c) 13 : 8
(d) 21 : 11
(e) 35 : 18
KEY
1
d
2
c
3
a
4
b
5
b
6
c
7
d
8
c
9
a
10
b
11
d
12
c
13
e
14
c
15
c
16
a
17
e
18
a
19
d
20
c
21
c
22
d
23
e
24
c
25
b
26
a
27
d
28
c
29
c
30
e