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Mathematics Placement Practice Test

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 

Arithmetic Skills

There are three types of questions on the Arithmetic test:

1. Operations with fractions and whole numbers, including addition, subtraction, multiplication, division, recognizing equal fractions/mixed numbers, and estimating.

2. Operations with percents and decimals, including addition, subtraction, multiplication/division with decimals, percents, recognition of decimals, fractions and percent equivalencies, and estimation.

3. Problem solving and applications, including rate, percent, measurement, geometry, and distribution of a number into fractions.

Arithmetic Skills Practice Questions

Solve the problems, selecting your answer from the list. You may use scratch paper.
 

 1. 

math_placement_test_files/i0030000.jpg
a.
2.911
b.
.425
c.
.521
d.
1.568
 

 2. 

math_placement_test_files/i0040000.jpg
a.
11.666
b.
18.666
c.
18.662
d.
10.09
 

 3. 

math_placement_test_files/i0050000.jpg
a.
.4
b.
4.16
c.
.25
d.
2.5
 

 4. 

Which is the least?
a.
0.022
b.
0.965
c.
0.22
d.
2.2
 

 5. 

Which of the following does NOT express 75% of math_placement_test_files/i0070000.jpg?
a.
math_placement_test_files/i0070001.jpg
b.
math_placement_test_files/i0070002.jpg
c.
math_placement_test_files/i0070003.jpg
d.
math_placement_test_files/i0070004.jpg
 

 6. 

Which is closest to math_placement_test_files/i0080000.jpg?
a.
1300
b.
1100
c.
130
d.
110
 

 7. 

The class had 240 seniors and 85% of them graduated. How many seniors graduated?
a.
282
b.
204
c.
155
d.
221
 

 8. 

Jennifer is making a flower arrangement consisting entirely of roses, baby’s breath, and greenery. If one-half of a flower arrangement should be greenery and one third of it should be roses, what part of the entire arrangement should be baby’s breath ?
a.
math_placement_test_files/i0100000.jpg
b.
math_placement_test_files/i0100001.jpg
c.
math_placement_test_files/i0100002.jpg
d.
math_placement_test_files/i0100003.jpg
 

 9. 

36 is 75 percent of what number?
a.
2.8
b.
42
c.
480
d.
48
 

 10. 

math_placement_test_files/i0120000.jpg
a.
math_placement_test_files/i0120001.jpg
b.
math_placement_test_files/i0120002.jpg
c.
math_placement_test_files/i0120003.jpg
d.
math_placement_test_files/i0120004.jpg
 
 

Elementary Algebra Skills

This portion of the test is made up of three types of questions:

* Operations with integers and rational numbers (and negative rationals), using absolute values, and ordering.

* Operations with algebraic expressions (evaluating simple formulas and expresisons and adding/subtracting monomials and polynomials). You should be able to multiply and divide monomials and polynomials, evaluate positive rational roots/exponents, simplify algebraic fractions and execute factoring.

*Solutions for equations, inequalities, word problems, linear equations/inequalities, and quadratic equations using factoring,  solving verbal problems in algebraic context, including geometric reasoning/graphing, and translating phrases into algebraic expressions.

Elementary Algebra Practice Questions

Solve the problems, choosing your answer from the list. You may use scratch paper.
 

 11. 

If a is the number of peaches bought at 25 cents a piece and b is the number of pears bought at 15 cents a piece, which answer is the total for the purchase?
a.
math_placement_test_files/i0140000.jpg
b.
math_placement_test_files/i0140001.jpg
c.
math_placement_test_files/i0140002.jpg
d.
math_placement_test_files/i0140003.jpg
 

 12. 

math_placement_test_files/i0150000.jpg
a.
math_placement_test_files/i0150001.jpg
b.
27
c.
12
d.
math_placement_test_files/i0150002.jpg
 

 13. 

What is the value of math_placement_test_files/i0160000.jpg when x = 3 and y = -1?
a.
31
b.
19
c.
35
d.
41
 

 14. 

In the diagram, the two circles have the same center, and the radius of the larger circle is r. If the radius of the larger circle is 4 units more than the smaller, which answer represents the area of the smaller circle?

math_placement_test_files/i0170000.jpg
a.
math_placement_test_files/i0170001.jpg
b.
math_placement_test_files/i0170002.jpg
c.
math_placement_test_files/i0170003.jpg
d.
math_placement_test_files/i0170004.jpg
 

 15. 

math_placement_test_files/i0180000.jpg
a.
math_placement_test_files/i0180001.jpg
b.
math_placement_test_files/i0180002.jpg
c.
math_placement_test_files/i0180003.jpg
d.
math_placement_test_files/i0180004.jpg
 

 16. 

math_placement_test_files/i0190000.jpg
a.
math_placement_test_files/i0190001.jpg
  3
b.
math_placement_test_files/i0190002.jpg
math_placement_test_files/i0190003.jpg
c.
math_placement_test_files/i0190004.jpg
d.
math_placement_test_files/i0190005.jpg
 

 17. 

   math_placement_test_files/i0200000.jpg
a.
math_placement_test_files/i0200001.jpg
b.
math_placement_test_files/i0200002.jpg
c.
math_placement_test_files/i0200003.jpg
d.
math_placement_test_files/i0200004.jpg
 

 18. 

If math_placement_test_files/i0210000.jpg, then math_placement_test_files/i0210001.jpg
a.
math_placement_test_files/i0210002.jpg20
b.
math_placement_test_files/i0210003.jpg30
c.
20
d.
40
 

 19. 

-6(3-4)-2(2-6) =
a.
24
b.
12
c.
36
d.
14
 

 20. 

If math_placement_test_files/i0230000.jpg, then
a.
math_placement_test_files/i0230001.jpg
b.
math_placement_test_files/i0230002.jpg
c.
math_placement_test_files/i0230003.jpg
d.
math_placement_test_files/i0230004.jpg
 



 
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