Placement Test for Pre-Algebra

 

  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 x103 ) (2.9 x 102)

 

 

 

17. .Divide

  (2.8 x 108) by   ( 7 x103 )

 

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