GHSGT Meas/Geometry & Data Analysis Review How to use this review: Play the PPT from the...

GHSGT Meas/Geometry & Data Analysis

Review

How to use this review:

Play the PPT from the beginning and try each question. Press ‘Enter’ to determine the correct answer.

Look for boxes that highlight the main idea of the concept.

Return to the SHS GHSGT Prep page to try more review questions.

Pass the FIRST time!

Measurement & Geometry32% - 34% of the test

Most Missed Domain!

“KING HENRY” Metric Measurements• Look at the prefixes

– “Kilo” is going to be large 1 kilometer(km) is a little more than ½ of a mile– “milli” is going to be small mm (about the thickness of a fingernail)

King Henry Died Unexpectedly Drinking Chocolate Milk

Kilo- Hecto- Deka- Unexpectedly (UNIT) (gram/meter/liter) Deci- Cm Milli-

As you move right ,move decimal to the right (# gets smaller)

As you move left, move decimal to left (# gets larger)

7.25 L = ?? kL

Think: go to unit…move left 1, 2, 3… SO move decimal 3 spaces left! 7.25 L = .00725 kL

TemperatureCelsius vs. Fahrenheit

• Celsius: water freezes at 0C and boils at 100 C• Fahrenheit: water freezes at 32F and boils at

212 F• Students have to know Celsius!!!

A riddle to help them remember Celsius:“30 is hot, 20 is nice…

10 is chilly, 0 is ice”

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 CB) 162 CC) 10 CD) 5 C

5( 32)

9C F

C) 10 C

Metric Measurements• Q2: ______ would be used to calculate the

capacity of a pot of chili.A) MillilitersB) GramsC) LitersD) Kilograms

C) Liters

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.

Perimeter, Area, and Volume

• Q3: What is the area of the blue section?A) 113.34B) 668.304C) 26.5D) 100.77

D) 100.77

3.9

12.3

8.7 1.6

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. ¼B. 2C. 4D. 8

B) 2

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

Transformations

• Reflection means flipThink “mirror”

• Rotation means turn

• Translation means slide

Transformations• Q6:Study Figures I and II. Determine which

transformation, if any, of Figure I is shown in Figure II?

A. rotationB. reflectionC. translationD. no transformation

B) reflection

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.

Coordinate Plane• Q7:Which point shown on the graph below has the

coordinates (2, -2)? A. Point AB. Point BC. Point CD. Point D

C) Point C

Coordinate Plane• Q8: Which of the following indicates the square where Houston’s two universities are located?A. 2,DB. 3,CC. 3,2D. 3,D

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

Ratio/ Proportion Word ProblemsQ9: 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 milesB. 50.75 milesC. 65 milesD. 87.5 miles

D) 87.5

Angles• Classify

– Acute– Obtuse– Right– Straight

• Special Angle Relationships– Linear Pairs– Vertical Angles– Supplementary– Complementary

Angles• Q10: What is the

measure of MPN? A. 60B. 90C. 180D. 360

C) 180

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

Similar Figures

Are the same shape, but not necessarily same size

Sides are proportional 12 3

4 ?

Similar Figures

• Q12: Find the missing length (x) for the pair of similar figures below.A. 20 cmB. 26 cmC. 30 cmD. 39 cm

B) 26 cm

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

x

Sum of Interior Angles of a Polygon

• Use 180(n-2), where n is the number of sides in polygon

• Or divide the shape into triangles and multiply the number of triangles by 180 (easiest)

180 X 4 = 720 or180 x ( 6 – 2 ) = 720

1

2

3

4

Sum of Interior Angles of a Polygon• Q14: Sarah's flower garden is in the shape of a

pentagon. What is the sum of the degree measures of the interior angles of her garden? A. 180°B. 720°C. 360°D. 540°

D) 540°

Pythagorean Theorem

• Use only with RIGHT TRIANGLES

• a2 + b2 = c2

– c is the hypotenuse– a & b are legs of the triangle

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 inchesB. 6 inchesC. 8 inchesD. 16 inches

B) 6 inches

4 in

4 in

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

B) c2 a2 = b2

c

a

b

Parallel Lines• Create Special Angle relationships

– Alternate Interior– Alternate Exterior– Consecutive Interior

• Are divided into proportional parts

Parallel Lines• Q17: James Road and River Road are parallel. What

is the measure of A?A. 70B. 90C. 100D. 110

D) 110

Data Analysis Review17 – 19%

Probability vs. Odds

# of successesProbability is

total # of outcomes# of successes

Odds are # of failures

THIS WAS THE MOST MISSED QUESTION ON THE PRACTICE TEST!!!

If the odds of winning a prize are , then the PROBABILITY of winning is

5

27

2

Most Missed Concept!!

Probability • For compound events, write out all possibilities, then count those

which meet the question’s requirements!• Ex. A spinner has 3 colors: red, yellow, and green. If you spin

twice, what’s the probability of getting the same color both times?• Think:• Red, Red• Red , Blue• Red, Green• Blue, Red• Blue, Blue• Blue, Green• Green, Red• Green, Blue• Green, Green

Most Missed

Concept!!!

3

1

9

3

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

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

Mean, Median, Mode, Range

• Mean- Average• Median- Middle

–PUT IN ORDER FIRST• Mode- occurs the MOST• Range- Highest minus Lowest

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

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

Graphs • Circle- typically with %

• Bar- show highest & lowest, distinct categories

• Line graphs- trends, increases and decreases

• Pictographs- distinct categories

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

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

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

Note:

This PPT was trimmed from an original document on the web by Hillgrove HS in Cobb County, GA, and additions have been made.

The original home of the PPT is:http://www.cobbk12.org/schools/Hillgrove/GHSGT%20REVEIWS/Math%20GHSGT.htm