Mathematics and Algebra: Sample Test Questions

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PROFICIENCY TEST STUDY GUIDE 
                                           With sample test questions MATHEMATICS / ALGEBRA|
Key Words and Converting Words to EquationsFractions      Adding, subtracting, multiplying, dividing     Simplifying      Writing decimals as fractions                StatisticsReading Tables and ChartsExponentsPre-Algebra and Algebra     Special notation for multiplication and division with variable     Algebra word problems     Order of operations     Simplifying expressions     Prime factorization     Greatest common factor     Least common multiple     Factoring     Sample algebra problemsCoordinate System     Grid graph     Slope coordinatesGeometry     Basics     Squares, rectangles, circles, trianglesMath Definitions|  

ENGLISH|
Proof reading / spellingReading comprehensionMain theme of a paragraphLogical sequence of a paragraphKey wordEnglish grammarBasic word meanings|  
ABILITY TO ASSIST|
Worker roles and responsibilitiesStudent discipline / behavior|  
WRITING|
ContentFormatGrammarSpellingPunctuation|
 
MDUSD Proficiency Test Study Guide / Page 2
MATH
 
Key Words and Converting Words to Equations
Sometimes math questions use key words to indicate what operation to perform.  Becoming familiar with these key words will help you determine what the question is asking for.  
OPERATION| OTHER WORDS WHICH INDICATE THE OPERATION|
Addition| Increased by; more than; combined together; total of; sum; added to.| Subtraction| Decreased by; minus; less; difference between/of; less than; fewer than.| Multiplication| Of; times; multiplied by; product of (For example 4 + 4 + 4 equals 4 X3).| Division| Per; a; out of; ratio of; quotient of; percent (divide by 100).| Equal| Is; are; was; will be; gives; yields; sold for|

Per | Divided by|
 
Here are some examples of words converted to equations.
 
WORDS| EQUATIONS|
What is the sum of 8 and y?| 8 + y|
4 less than y| y – 4|
Y multiplied by 13| 13y|
The quotient of y and 3| y / 3|
The difference of 5 and y| 5 – y|
The ratio of 9 more than y to y| (y+9) / y|
Nine less than the total of a number (y) and two| (y+2) = 9 or y - 7|  
Fractions
In order to accurately solve fraction problems it is important to distinguish between the numerator and denominator.               Numerator:    top number                            Denominator:                        bottom number  

MATHEMATICS PRACTICE  QUESTIONS| MATHEMATICS PRACTICE QUESTIONS| Œ         1. 8       9/16             -  2    4/16  a. 10   13/16 b.   5   13/16 c.   6   5/16       d.      6   13/16|                 4  3/4             + 6  3/5            a.  11  7/20           b.  10  2/3           c.  11  2/3           d.  10  7/20| Ž           4  4/5  X  6  2/8  =           a.  10  3/5          b.  30          c.  25          d.  -24  6/8|          6  2/3   ÷   4  2/6  =               a.  2  1/13       b.  28  8/9       c.  3  2/6       d.  1  7/13|  |         80% of what is 204?               a.  250              b.  240              c.  255              d.  260| ‘         50 people went to a play.  3/5 of the people         stayed to the end. How many people left?               a.  10              b.  30              c.  20              d.  40| ’            Estimate the answer:             4.88         x  6.24             a.  30                                 b.  24                                 c.  35                                 d.  28|  | “What is the probability of rolling a 4 on a set of dice?              a.  1:6             b.  2:6             c.  1:12             d.  1:4 | ”            How many times bigger is b than a:                            a.  2 times              b.  ½ times              c.  3 times              d.  1 ½ times                                                               a            b                  ...
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