Numerical
Skills/Pre-algebra Placement Test
Use this pre-test if you would like to take
Math 61, Math 81, Math 85, Math 91, or Math 92, Math 95.
| Percentage of Items in Pool |
Content Areas |
Content Areas |
Percentage of Items in Pool |
| 11 |
Basic operations with integers |
Multiples and factors of integers |
3 |
| 20 |
Basic operations with fractions |
Absolute values of numbers |
3 |
| 14 |
Basic operations with decimals |
Averages (arithmetic means) |
10 |
| 9 |
Exponents |
Order concepts (greater than; less than) |
1 |
| 10 |
Ratios and proportions |
Estimations skills |
<1 |
| 15 |
Percentages |
Number theory |
1 |
| 1 |
Conversions between fractions and decimals |
Counting problems and simple probability |
2 |
(Computing and Arithmetic Average)
1. What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2,
and 2 ?
A.
B.
C.
D. 5 E.

(Basic Operations with Decimals)
2. Ben is making wooden toys for the next arts and crafts
sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00
each, how many will he have to sell to make a profit of exactly
$36.00?
A. 12 B. 20 C. 30 D. 60 E. 108
(Basic Operations with Fractions)
3. How many yards of material from a 24-yard length of cloth
remain after 3 pieces,
each
yards long, and 5 pieces, each of
yards
long are removed?
A.
B.
C.
D.
E.

(Percentages)
4. Phillip charged $400 worth of goods on his credit card. On
his first bill, he was not charged any interest, and he made a payment of $20. He then
charged another $18 worth of goods. On his second bill a month later, he was charged
2% interest on his entire unpaid balance. How much interest was Phillip charged on his
second bill?
A. $8.76 B. $7.96 C. $7.60 D. $7.24
E. $6.63
(Order concepts (greater than; less than)
5. From
choose all the symbols that make the statement: 25 - 5 __ 14 + 3
true.
A.
B.
C.
D.
E.

(Exponents)
6. Evaluate and simplify:
+

A. 25 B. 28 C. 13 D. 26 E. 10
(Linear equations in one variable)
7. If
- 6 = 10 then
=
A.
B.
C.
D.
E.

(Setting up equations for given situations)
8. Which of the following expressions represents the results of
decreasing a number
by 7 and then multiplying that number by 3.
A.
B.
C.
D.
E.

(Linear equations in one variable)
9. In the equation A =
,
if A = 90 and
=
15, then
=
?
A. 10 B. 1 C. 1.10 D. -15
E. +15
Last updated:
November 16, 2006
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