Section 1: Numerical Skills/Pre-algebra Placement Test

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Content Areas

Basic operations with integers

Basic operations with fractions

Basic operations with decimals

Exponents

Ratios and proportions

Percentages

Conversions between fractions and decimals

Multiples and factors of integers

Absolute values of numbers

Averages (arithmetic means)

Order concepts (greater than; less than)

Estimation skills

Number theory

Counting problems and simple probability

11

20

14

9

10

15

1

3

3

10

1

<1

1

2

Computing and Arithmetic Average

1. What is the average (arithmetic mean) of 8,7,7,5,3,2 and 2?

A. 34/7

B. 45/6

C. 46/7

D. 5

E. 64/5

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 31/2 yards long, and 5 pieces, each 21/4 yards long are removed ?

A. 21/4

B. 41/4

C. 45/6

D. 101/4 E. 105/6

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: 52 + 30

A. 25

B. 28

C. 13

D. 26

E. 10

Section 2: Algebra Placement Test

The Algebra Placement Test comprises topics from three major mathematics curricular areas, as follows:

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