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MATH REVIEW
Measurement & Geometry
(18-22% of the test)
Metric Measurements
Look at the prefixes
– “Kilo” is going to be large
– “milli” is going to be small
Celsius vs. Fahrenheit
– Celsius: water freezes at 0C and boils at 100 C
– Fahrenheit: water freezes at 32F and boils at 212
F
GHSGT Math Review
Metric Measurements
Q1: Marvin wants to change Fahrenheit
temperature to Celsius temperature. The
5
formula is C  (F  32) . If F = 50, what is the
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temperature in Celsius?
A) 90 C
B) 162 C
C) 10 C
D) 5 C
C) 10 C
GHSGT Math Review
Metric Measurements
Q2: ______ would be used to calculate the
capacity of a pot of chili.
A) Milliliters
B) Grams
C) Liters
D) Kilograms
C) Liters
GHSGT Math Review
Perimeter, Area, and Volume
Perimeter is the distance around
– think fencing in something
– Units are whatever you are using to measure
Area is how much flat space is occupied
– Think about painting a wall, wallpaper, grass on a
lawn
– Always in Square Units
Volume is how much space is occupied in 3D
– Think pouring concrete, how much liquid will go
– Always in cubic units.
GHSGT Math Review
Perimeter, Area, and Volume
Q3: What is the area of the blue section?
A) 113.34
B) 668.304
C) 26.5
D) 100.77
12.3
3.9
8.7
1.6
D) 100.77
GHSGT Math Review
Perimeter, Area, and Volume
Q4 One gallon of paint will cover 800 square
feet. How many gallons of paint are needed to
cover a wall that is 8 feet high and 200 feet
long?
A.
B.
C.
D.
¼
2
4
8
B) 2
GHSGT Math Review
Perimeter, Area, and Volume
Q5 Tim has an irregularly shaped garden, as
shown below. What is the area of his garden
(in square feet)?
A. 58 ft2
B. 174 ft2
C. 198 ft2
D. not enough
information provided
B) 174 ft2
GHSGT Math Review
Transformations
Reflection means flip
Rotation means turn
Translation means slide
GHSGT Math Review
Transformations
Q6:Study Figures I and II. Determine which
transformation, if any, of Figure I is shown in
Figure II?
A. rotation
B. reflection
C. translation
D. no transformation
B) reflection
GHSGT Math Review
Coordinate Plane
Ordered Pairs (x, y)
– the first number tells you how far left or right to go
from the origin
– The second number tells you how far up or down
to go from the origin
Quadrants
– The x-axis and y-axis break the coordinate plane
into 4 Quadrants
– Named I, II, III, and IV starting in upper right and
moving counterclockwise.
GHSGT Math Review
Coordinate Plane
Q7:Which point shown on the graph below has
the coordinates (2, -2)?
A. Point A
B. Point B
C. Point C
D. Point D
C) Point C
GHSGT Math Review
Coordinate Plane
Q8: Which of the
following indicates
the square where
Houston’s two
universities are
located?
A. 2,D
B. 3,C
C. 3,2
D. 3,D
GHSGT Math Review
D) 3,D
Ratio/ Proportion Word Problems
Ratio is the comparison of two numbers.
Proportions are when you set two ratio equal
to one another
– Be sure to keep units in the same place
– To solve, cross multiply
GHSGT Math Review
Ratio/ Proportion Word Problems
Q9: On a map of Georgia, one inch is
equivalent to 50 miles (1 inch = 50 miles). If
the distance between two towns is 1.75
inches, what is the actual distance between
the towns?
A. 8.75 miles
B. 50.75 miles
C. 65 miles
D. 87.5 miles
D) 87.5
GHSGT Math Review
Angles
Classify
– Acute
– Obtuse
– Right
– Straight
Special Angle Relationships
– Linear Pairs
– Vertical Angles
– Supplementary
– Complementary
GHSGT Math Review
Angles
Q10: What is the
measure of MPN?
A. 60
B. 90
C. 180
D. 360
C) 180
GHSGT Math Review
Angles
Q11: If A and  B are complements, and  B
and  C are complements, what must be true
of  A and  C?
A. They have the same measure.
B. They are supplementary angles.
C. They are complementary angles.
D. They are interior angles of a polygon.
A) Same measure
GHSGT Math Review
Similar Figures
Are the same shape, but not necessarily same
size
Sides are proportional
GHSGT Math Review
Similar Figures
Q12: Find the missing length (x) for the pair of
similar figures below.
A. 20 cm
B. 26 cm
C. 30 cm
D. 39 cm
B) 26 cm
GHSGT Math Review
Similar Figures
Q13: The two right triangles are similar. Find
the measure of side x.
A. 32
B. 37.5
C. 55
x
D. 83
B) 37.5
GHSGT Math Review
Sum of Interior Angles of a
Polygon
Use 180(n-2)
Or divide the shape into triangles and
multiply the number of triangles by 180 
GHSGT Math Review
Sum of Interior Angles of a
Polygon
Q14: Sarah's flower garden is in the shape of a
hexagon. What is the sum of the degree
measures of the interior angles of her garden?
A. 120°
B. 180°
C. 360°
D. 720°
D) 720°
GHSGT Math Review
Pythagorean Theorem
Use only with RIGHT TRIANGLES
a2 + b2 = c2
– c is the hypotenuse
– a & b are legs of the triangle
GHSGT Math Review
Pythagorean Theorem
Q15: A square piece of paper, each side four
inches long, is folded diagonally on the dotted
line, as shown. To the nearest inch, how long
is the crease made in the fold?
A. 4 inches
B. 6 inches
4 in
C. 8 inches
D. 16 inches
4 in
B) 6 inches
GHSGT Math Review
Pythagorean Theorem
Q16: In the drawing, the length of side a
equals 36 inches. The length of side c is 36.5
inches. Which formula would determine the
length of side b?
A. a2 + b2 = c2
B. c2  a2 = b2
c
b
C. a2  b2 = c2
D. a2 + c2 = b2
a
B) c2  a2 = b2
GHSGT Math Review
Parallel Lines
Create Special Angle relationships
– Alternate Interior
– Alternate Exterior
– Consecutive Interior
Are divided into proportional parts
GHSGT Math Review
Parallel Lines
Q17: James Road and River Road are parallel.
What is the measure of A?
A. 70
B. 90
C. 100
D. 110
D) 110
GHSGT Math Review
GA High School Graduation
Test
Data Analysis
(19-21% of the test)
Probability vs. Odds
# of successes
Probability is
total # of outcomes
# of successes
Odds are
# of failures
GHSGT Math Review
Notation
Let A and B denote two events
A ∪ B is the event that either A or B or both
occur.
A ∩ B is the event that both A and B occur
simultaneously.
The complement of A is denoted by A. A is
the event that A does not occur. Note that
Pr(A) = 1 − Pr(A)
GHSGT Math Review
Probability
P(A and B) means P(A) times P(B).
–Be careful of problems with no
replacement.
P(A or B) means P(A) + P(B)
GHSGT Math Review
Probability
Q18: There are five pencils in a box; some are
red and some are blue. The probability of
randomly reaching into the box and selecting a
red pencil is 3/5. How many blue pencils are
in the box?
A. 1
B. 2
C. 3
D. 5
B) 2
GHSGT Math Review
Probability
Q19: Use the tree diagram to predict the
probability of flipping three coins and getting all
heads or all tails.
A. ¼
B. ½
C. 1
D. 2
A) ¼
GHSGT Math Review
Mean, Median, Mode, Range
Mean- Average
Median- Middle
–PUT IN ORDER FIRST
Mode- occurs the MOST
Range- Highest minus Lowest
GHSGT Math Review
Mean, Median, Mode, Range
Q20: The youngest person in an audience of
600 people is thirteen years old. The range of
ages is forty-five years. Which is the age of the
oldest member of the audience?
A. 32 years
B. 45 years
C. 46 years
D. 58 years
D) 58 years
GHSGT Math Review
Mean, Median, Mode, Range
Q21: Helen spent a total of $100 for five shirts.
Later she bought another shirt. She spent an
average of $18.78 per shirt for the six shirts.
What did Helen pay for the sixth shirt?
A. $12.68
B. $16.67
C. $20.00
D. $38.78
A) $12.68
GHSGT Math Review
Graphs
Circle- typically with %
Bar- show highest & lowest, distinct
categories
Line graphs- trends, increases and
decreases
Pictographs- distinct categories
GHSGT Math Review
GHSGT Math Review
Graphs
Q22: The results of a poll asking, "Who is your
favorite math teacher?" are shown:
Dr. Jones 20%
Ms. Cleaveland 32%
Ms. Towner 23%
undecided 25%
Which type of graph should be used to show
the results of the poll?
A. bar graph
B. circle graph
C. line graph
B) circle
D. pictograph
GHSGT Math Review
Venn Diagrams
You need to know
how to interpret
these.
For example, which
section represents
students who play
football and
basketball, but NOT
baseball?
Baseball
Basketball
Football
GHSGT Math Review
Venn Diagrams
Q23: Mr. Mangione,
constructed a diagram to
illustrate the skills of applicants
for positions in the office of his
company. How many
applicants possess word
processing, basic accounting,
and marketing skills?
A. 5
B. 10
C. 15
D. 20
GHSGT Math Review
A) 5