Praxis Workshop Series:
11/1 Practice Problems
Section 1: Pythagorean Theorem
1.
If a right triangle has legs of length 3 and 4, what is the length of the hypotenuse? 2.
If a right triangle’s longest side is 18 inches and smallest side is 7 inches, how long is the third side? 3.
In an isosceles right triangle, one of the legs is 3 cm long. How long is the hypotenuse? 4.
What is the length of the shortest side of a right isosceles triangle if the longest side is 6 centimeters? Section 2: Driving Rate Problems
5.
Melissa drives 30 miles to work each day and she gets to work in 45 to 50 minutes. On average, about how fast does she drive to work (in miles per hour)? 6.
You drive 75 miles to work each day and you get to work in 80 to 90 minutes. On average, about how fast do you drive to work (in miles per hour)? 7.
Jackie drives 10 miles to work each day and she gets to work in 15 to 20 minutes. On average, about how fast does Jackie drive to work (in miles per hour)? Section 3: Geometry Vocab
8.
Give a possible degree measure for the following types of angles: a. Acute: b. Right: c. Straight: d. Obtuse: 9.
A quadrilateral with only one pair of parallel sides can be classified as a: a.
Parallelogram
b. Trapezoid c.
Rhombus
d. Rectangle 10.
Circle one: Geometrical proofs, which use theorems and facts to logically prove conclusions, use inductive / deductive reasoning. Section 4: Perimeter, Area, Volume
11.
Find the area of the shaded region: 12.
Find the volume of the given cylinder: Section 5: Measurement
13.
Re­create the drawing of Gallon Land: 14.
How many meters are in 3 kilometers? 15.
What is the saying to remember the metric units in order? 16.
The metric units next to each other are related by multiplying or dividing: a. 10
b. 100
c. 1000
d. 100,000 Section 6: Combinations and
Permutations
17.
In the Long Beach Air Race six planes are entered and there are no ties. In how many ways can the first three finishers come in? 18.
An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done? 19.
In a production of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty. In how many ways can the director cast the male roles? 20.
A four­person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?