Placement Test for PreAlgebra
Susan O. Johnsey
www.mathinabox.com sjohnsey@bellsouth.net
There is
nothing on this test that is intended to be tricky.
If you do not
see an exponent in problems #5, 16,
17 then stop and email me about
this.
Please show a little work on each
problem where possible.
DO NOT USE
A CALCULATOR. I need to understand what you know when you
are working without any type of math help.
Send your answers/work by email, please.
I will reply within one day. Please let me know with a polite note if I do not.
Complete
test within 1 hour, but do finish
it.
Reduce all
fractions to their lowest terms. Include some work.
1. Evaluate: 48 5/6 + 13 2/3 = These are mixed numbers, that is, a whole number and fraction. 
2. Evaluate:
5  3 1/2 = 
3. Evaluate:
58 3/
7  12
6/ 7 = 
4. Evaluate:
35 1/2
divided by 7 5/6
= 
5. Simplify:
3 + 4(5)^{2 } = Hint: You need to recall the Order of
Operations for math here. 
6. Simplify: 40 divided by 0.05 = 
7. Simplify:
400 times 0.05 
8. Simplify: 7800
divided by 1000 
9. Simplify:
0.780 times 100 
10. Simplify
2 + [ 12  4] + 3( 4 +5) = 
11. Simplify 4x^{ }  2x + 5 + 9x^{ }=^{} 
12. Translate to an expression and then find
the number: the product of 5 and the
square of a 9. 
13. Add:
5.268 + 45.79 
14. Subtract:
138.9  56.7643 
15. Simplify: 14+8= 8+14= 14  8= 8 (14) = 14+(8)= 8+8= 14(8) 14+(14)= 
16. Multiply
( 5.6 x10^{3} ) (2.9 x 10^{2}) 
17.
.Divide (2.8 x 10^{8}) by ( 7 x10^{3} ) 
18. 180 is 70% of what number? show work 
19. 375 is what percent of 625?

20. 35% of a class is girls. There are 120 children
in the class. How many boys are
there? 
21. Find the Least Common Multiple for 16, 28
and 21. The LCM is a number that can be evenly divided
by each of these. 
22. Find the
mean of these numbers: 17, 24, 35, 37, 38, 26, 37, 50. 
23.
Find the median of the numbers in problem 22. 
24.
Find the range of the numbers in problem 22. 
25.
Find the mode of the numbers in problem 22 
26.
Find the percent of increase for the price of a car if its 2003 price was $16,000 and the price now will be $17,280. 
27. Simplify:
0.0719 + 8 = 
28. Find the area of a rectangle whose length
is 16 feet and width is 25 feet. 
29. Find the perimeter of a parallelogram whose
base is 18 feet and height is 6 feet
and slanted side is 10 feet. 
30. A circle has a diameter or 12 inches. a.
Find its radius. b.
Find its circumference. c.
Find its area. 
Susan O. Johnsey www.mathinabox.com sjohnsey@bellsouth.net