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.
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. Let me know the amount of time you take to complete the test.
Reduce all fractions to their lowest terms.
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 the 8 problems:
| -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. |