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PRA XIS CORE
M AT H – N U M B E R S & Q U A N T I T I E S + A L G E B R A
WHAT DO WE ALREADY KNOW ABOUT
PRAXIS MATH?
• Score to pass in WI: 150
• 56 Questions in 85 Minutes
• MCQs, Choose all answers that apply, OR Enter a Response
• Calculators
• Four Types of Questions
– Numbers and quantities
– Algebra
– Geometry
– Probability and statistics
TEST AT A GLANCE
PRA XIS CORE
G E O M E T RY
GEOMETRY
• Know – vocabulary (and apply that vocab), lines, triangles, squares, rectangles, circles
• Congruence? Symbol for congruence?
– Equal
– How is congruent different than “similar?”
– Use to describe angles or segments of line
• Angles
– Congruent Angles
– Acute Angles
– Obtuse Angles
– Right Angles
– Complementary Angles
– Supplementary Angles
– Linear Angles
– Vertical Angles
• Formed by two intersecting lines
• Always Congruent
TRIANGLES
• Triangles – angles, area, perimeter?
– Internal angles always add up to 180
– Area = ½ (b x h)
– Perimeter = add length of three sides
• Special Triangles
– All sides equal?
– Two sides equal?
– With a 90 degree angle?
• Right Triangles – What do you know?
– Has an angle of 90 degrees
– The side opposite of the 90 degree angle is always the longest
– The other two angles must add up to 90 degrees
– ALWAYS think  Pythagorean Theorem.
• Pythagorean Theorem
– a2 + b2 = c2
– The hypotenuse is always c
QUADRILATERALS
• Quadrilaterals – What are they?
– squares
– Rectangles
– Trapezoid – two parallel sides
– What is the sum of the interior angles?
• Area of squares and rectangles?
– Area = Length x width
• Perimeter of squares and rectangles?
– Add the sides
CIRCLES
• Define the following:
– radius
– diameter
– area
– Circumference
– Angles that cut up a circle will always add up to?
• Find the radius of a circle that has an area of 144π
• Find the circumference of a circle that has a radius of 3 cm
LINES
• What is the equation for a line?
– y=mx+b
– What is “b?” What is “m?”
– Write the equation for the line that has the points (7,2) and (5,-4).
• Distance Formula – What is it? When do we use it?
– Find the distance between (5,4) and (3,2).
• Midpoint Formula – What is it? When do we use it?
– Find the midpoint between (5,4) and (3,2)
PRA XIS CORE
P R O B A B I L I T Y A N D S TAT I S T I C S
GRAPHS AND TABLES
• Bar Graph, Line Graph, Circle/Pie Graph
– Be able to work with graphs
– Be able to identify trends… As x increases, what happens to y?
PROBABILITY…
• Answers will always be between ? And ?
– 0 and 1
• Be careful with “AND” and “OR.”
– There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we
will pull a blue marble out of the bag?
– There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we
will pull either a red or a blue marble out of the bag?
– There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we
will pull a blue marble out of a bag on the first draw and a red marble out on the second draw?
PLACE VALUES AND SCIENTIFIC
NOTATION…
• Place Values
– What are the place values in the following number?
• 3684.26
• Scientific Notation
• Which of these is NOT in scientific notation? Why?
– 1.2 x 103 ; 5.3 x 109 ; 2.0 x 100 ; 10 x 102
– What is .01096 in scientific notation?
– What is 9.3 x 10-3 in standard form?
– What is 3,521 in scientific notation?
MEAN, MEDIAN, MODE…
• Define each of the terms…
– Mean
– Median
– Mode
• Find the mean, median and mode of the following set of numbers: 5,19, 2, 10, 11, 19
– Mean = 11
– Median = 15
– Mode = 19
TAKING A SURVEY…
• Look for the least BIAS
• Which of these is the best way to learn how UWSP staff feel about Wisconsin weather?
– Interview 20 geology professors at a department meeting.
– Stand outside on a -20 degree day and ask a group of staff members who are making snowmen.
– Ask every fifth staff member who enters a UWSP building until you have asked 100 people.
– Ask every 10th staff member who is standing by a heater in the basement of the library until you
have asked 25 people.
– Ask every fifth staff member who enters the DUC until you have 10 people.
PRACTICE TIME
•learn.dummies.com