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 & Geometry 32% - 34% of the test

• “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)

K ing H enry D ied K ilo H ecto D eka U nexpectedly D rinking C hocolate M ilk 7.25 L = ?? kL U nexpectedly (UNIT) ( gram/meter/liter) D eci C m M illi-

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

Think: go to unit…move left 1, 2, 3…

7.25 L = .00725

kL

decimal to left (# gets larger)

Temperature

Celsius vs. Fahrenheit • Celsius: water freezes at 0  C and boils at 100  • Fahrenheit: water freezes at 32  F and boils at 212  F • Students have to know Celsius!!!

C 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. 5 ( 9

F

 32) If F = 50  , what is the temperature in Celsius?

A) 90  B) 162  C C C) 10  D) 5  C C C) 10  C

•

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

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) 113.34

B) 668.304

C) 26.5

D) 100.77

8.7

12.3

3.9

1.6

D) 100.77

•

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

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 ft 2 B. 174 ft 2 C. 198 ft 2 D. not enough information provided B) 174 ft 2

Transformations

• • Reflection means flip

Think “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. rotation B. reflection C. translation D. 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 A B. Point B C. Point C D. Point D C) Point C

•

Coordinate Plane

following indicates the square where Houston’s two universities are located?

A. 2,D B. 3,C C. 3,2 D. 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 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

• •

Angles

Classify

–

Acute

–

Obtuse

–

Right

–

Straight Special Angle Relationships

–

Linear Pairs

–

Vertical Angles

–

Supplementary

–

Complementary

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

Angles

C) 180 

•

Angles

Q11: If  A and   and  C? B are complements, and  B and C are complements, what must be true of  A 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 3 4 ?

12

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

Similar Figures

• Q13: The two right triangles are similar. Find the measure of side x.

A. 32 B. 37.5 C. 55 D. 83 x B) 37.5

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)

1 3 4

180 X 4 = 720



or 180 x ( 6 – 2 ) = 720

 2

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 a 2 + b 2

–

= c 2 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 inches B. 6 inches C. 8 inches D. 16 inches 4 in 4 in B) 6 inches

•

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. a 2 B. c C. a 2 2 + b 2 

a

2 

b

2 = c = b 2 = c 2 2 D. a 2 + c 2 = b 2

c b a

B)

c

2 

a 2

=

b

2

• •

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. 70  B. 90  C. 100  D. 110  D) 110 

Data Analysis Review 17 – 19%

Probability vs. Odds # of successes Probability is total # of outcomes

# of successes Odds are # of failures

2 If the odds of winning a prize are , then the PROBABILITY of winning is 2 5

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

7

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

3 9  1 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 Football Basketball

• • • • •

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/GH SGT%20REVEIWS/Math%20GHSGT.htm