Georgia High School Graduation Test MATH REVIEW

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Georgia High School Graduation Test MATH REVIEW
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GA High School Graduation Test

• Measurement Geometry
• (32-34 of the test)

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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

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Metric Measurements

• Q1 Marvin wants to change Fahrenheit temperature
  to Celsius temperature. The formula is
  . If F 50?, what is the temperature in
  Celsius?
• A) 90? C
• B) 162? C
• C) 10? C
• D) 5? C

C) 10? C
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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
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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.

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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
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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. ¼
• B. 2
• C. 4
• D. 8

B) 2
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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
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Transformations

• Reflection means flip
• Rotation means turn
• Translation means slide

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Transformations

• Q6Study 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
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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.

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Coordinate Plane

• Q7Which 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
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Coordinate Plane

• Q8 Which of the following indicates the square
  where Houstons two universities are located?
• A. 2,D
• B. 3,C
• C. 3,2
• D. 3,D

D) 3,D
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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

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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
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Angles

• Classify
• Acute
• Obtuse
• Right
• Straight
• Special Angle Relationships
• Linear Pairs
• Vertical Angles
• Supplementary
• Complementary

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Angles

• Q10 What is the measure of ?MPN?
• A. 60?
• B. 90?
• C. 180?
• D. 360?

C) 180?
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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
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Similar Figures

• Are the same shape, but not necessarily same size
• Sides are proportional

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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
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Similar Figures

• Q13 The two right triangles are similar. Find
  the measure of side x.
• A. 32
• B. 37.5
• C. 55
• D. 83

B) 37.5
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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 ?

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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
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Pythagorean Theorem

• Use only with RIGHT TRIANGLES
• a2 b2 c2
• c is the hypotenuse
• a b are legs of the triangle

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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
• C. 8 inches
• D. 16 inches

4 in
4 in
B) 6 inches
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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. a2 ? b2 c2
• D. a2 c2 b2

c
b
a
B) c2 ? a2 b2
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Parallel Lines

• Create Special Angle relationships
• Alternate Interior
• Alternate Exterior
• Consecutive Interior
• Are divided into proportional parts

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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?
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GA High School Graduation Test

• Data Analysis
• (19-21 of the test)

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Probability vs. Odds
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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)

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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
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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
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Mean, Median, Mode, Range

• Mean- Average
• Median- Middle
• PUT IN ORDER FIRST
• Mode- occurs the MOST
• Range- Highest minus Lowest

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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
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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
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Graphs

• Circle- typically with
• Bar- show highest lowest, distinct categories
• Line graphs- trends, increases and decreases
• Pictographs- distinct categories

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Graphs

• Q22 The results of a poll asking, "Who is your
  favorite math teacher?" are shown
• Dr. Jones 20 Ms. Towner 23
• Ms. Cleaveland 32 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
• D. pictograph

B) circle
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Venn Diagrams
Baseball

• You need to know how to interpret these.
• For example, which section represents students
  who play football and basketball, but NOT
  baseball?

Basketball
Football
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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

A) 5