Arithmatic english 8 potx

12. If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take
both Steve and Cheryl to tile the floor if they worked together?
a. 2 hours 12 minutes
b. 2 hours 24 minutes
c. 3 hours
d. 3 hours 12 minutes
e. 10 hours
13. Given the area of the three squares, find the perimeter of ᭝ABC.
a. 12
b. 12.5
c. 19.5
d. 20
e. 25
14. During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale
ends, the price goes back to the original price. What is the percent of increase to the nearest percent
from the sale price back to the regular price for the shoes?
a. 9%
b. 10%
c. 11%
d. 15%
e. 90%
9
16
25
A
B
C
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15. How many degrees is the smaller angle?
a. 44

b. 88
c. 92
d. 132
e. 180
16. If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?
a. 30
b. 31
c. 32
d. 32
e. 37
17. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what
is the total cost of 125 posters?
a. 25d + 100e
b. 100d + 25e
c. 125de
d. d + 25e
e.
18. If the volume of a cube is x
3
cubic units, what is the number of square units in the surface area of the
cube?
a. x
2
b. x
3
c. x
6
d. 6x
2
e. 6x

3
125
de
3x – 40
2x
NOTE: FIGURE NOT DRAWN TO SCALE
– QUANTITATIVE PRACTICE TEST–
374
19. If x – 3 is a multiple of two, what is the next larger multiple of two?
a. 2x
b. x – 2
c. x – 1
d. x – 5
e. x + 2
20. If 3
x + 1
= 81, then x – 1 =
a. 2
b. 3
c. 4
d. 9
e. 27
21. For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of
dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1
dessert for your meal?
a. x + y + z + 1
b. xyz + xz
c. xy + z + 1
d. xyz + 1
e. xyz +

ᎏ
1
2
ᎏ
22. If x $ y is defined as 2(x + y)
2
, then what is the value of 2 $ 3?
a. 25
b. 36
c. 50
d. 100
e. 144
23. If x, y, and z are real numbers, which is always true?
I. x(yz) = (xy)z
II.
III. z (x + y) = zx + zy
a. I only
b. II only
c. I and II only
d. I and III only
e. I, II, and III
x
y
ϭ
y
z
– QUANTITATIVE PRACTICE TEST–
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24. If y = 6
x

, then 6y equals
a. 6
x
b. 6
x+1
c. 6
x
+ 6
d. 6x
e. 6
x
– 1
25. What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?
a. x – 5
b. x – 3
c. x – 1
d. x
e. x + 1
26. The product of a and b is equal to 11 more than twice the sum of a and b.Ifb = 7, what is the value of
b – a?
a. 2
b. 5
c. 7
d. 24
e. 35
27.
a. ͙
ෆ
x
b. 3͙

ෆ
x
c. x
d. x
2
e. x
3
28. The instructions state that Cheryl needs
ᎏ
4
9
ᎏ
square yards of one type of material and
ᎏ
2
3
ᎏ
square yards of
another type of material for a project. She buys exactly that amount. After finishing the project, how-
ever, she has
ᎏ
1
8
8
ᎏ
square yards left that she did not use. What is the total amount of square yards of
material Cheryl used?
a.
b.
c.

d.
e.
2
1
9
1
1
9
2
3
1
9
1
12
c
3
212x2
2
d
3
ϭ
– QUANTITATIVE PRACTICE TEST–
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29. Which of the following values of x would satisfy the inequality x Ͼ 1?
I. x =
II. x =
III. x =
a. I only
b. II only
c. II and III only

d. I and III only
e. I, II, and III
30. John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two
years ago?
a. 2
b. 4
c. 6
d. 8
e. 16
31. Given a spinner with four sections of equal size labeled A, B, C, and D, what is the probability of NOT
getting an A after spinning the spinner two times?
a.
b.
c.
d.
e.
32. A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1. What is the
percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
a. 9%
b. 11%
c. 15%
d. 25%
e. 90%
15
16
1
2
1
4

1
8
9
16
1
–1
3
2
–2
1
–4
3
2
2
1
1
2
2
3
– QUANTITATIVE PRACTICE TEST–
377
33. How many different committees can be formed from a group of two women and four men if three
people are on the committee and at least one member must be a woman?
a. 6
b. 8
c. 10
d. 12
e. 16
34. Susan spent one-third of her money on books and half of the remaining money on clothing. She then
spent three-fourths of what she had left on food. She had $5 left over. How much money did she start

with?
a. $60
b. $80
c. $120
d. $160
e. $180
35. A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is
the truck from the starting point?
a. 20.3
b. 70
c. 44.7
d. 50
e. 120
36.
a. .20
b. .5
c. 2
d. 5
e. 20
1
1
2
2× 1
2
5
2
.04
ϭ
– QUANTITATIVE PRACTICE TEST–
378