ogt preparation #1 name - kevin fraker · fraker's ogt prep book page 12 2011. ... central...

OGT Preparation #1 Name__________________ NS01 - Ordering, Number Lines

Fraker's OGT Prep Book 2011

1. On the number line below, which letter best represents

€

70?

A. Q B. R C. S D. T

2. Which of the following shows 0.125, −2.1, -½ , and 1.2 × 10

2 ordered from least to greatest?

A. 1.2 × 102, 0.125, -½, −2.1

B. 0.125, -½, −2.1, 1.2 × 102

C. −2.1, -½, 0.125, 1.2 × 102

D. 1.2 × 102, -½, 0.125, −2.1

3.

4. Jane has determined that 169 < x < 196. What must be true about

€

x ?

A. 13 <

€

x < 14 B. 84.5 <

€

x < 98.0 C. 338 <

€

x < 392 D. 28,561 <

€

x < 38,416


5. A private mint produced commemorative coins in the quantities listed. Commemorative Coin Production Coin Number Produced Flying Eagle 270,000 Spacewalk 6,000 boxes of 24 each Great Presidents 1.1 million Industrial Giants 9,000 dozen Which of the following lists the coins in order from least to greatest by the number of coins produced?

A. Industrial Giants, Spacewalk, Flying Eagle, Great Presidents B. Flying Eagle, Great Presidents, Spacewalk, Industrial Giants C. Great Presidents, Flying Eagle, Industrial Giants, Spacewalk D. Industrial Giants, Flying Eagle, Spacewalk, Great Presidents

6.

7. Let x represent any number on the real number line below.

Which of these represents the distance, in units, from x to 3?

A. |x| B. x – 3 C. |x| - 3 D. |x - 3|


8. Which expression is not equivalent to 7?

9. Ms. Patrick wrote the fractions on the board. Then she asked Sabrina to describe the relationship among the numbers. Which statement describes the relationship among the numbers?

A. The fractions are equivalent. B. The fractions are in ascending order. C. The fractions are in descending order. D. The fractions are doubling from left to right.

10. The approximate value of is labeled by a point on the number line. Which of the points correctly displays this value?

A. P B. Q C. R D. S

11. On the number line point R represents the square root of a number.

Which value could be the square of the number represented by point R?

A. 137 B. 149 C. 165 D. 173


12. Selena was given five different cells to measure. The table below shows Selena’s results.

In your Answer Document, write all of the measurements in scientific notation. Order the values from smallest to largest.


OGT Preparation #2 Name__________________ NS03 - Scientific Notation

1. Which expression represents 270,000 written in scientific notation?

A. 270 x 103 B. 27 x 104 C. 2.7 x 105 D. 0.27 x 106 2. The area of Alaska is about 6 x 10

5 square miles. The area of Rhode Island is about 1.5 x 10

3

square miles. What is the difference between the area of Alaska and the area of Rhode Island? A. 4.5 x 10

2 square miles B. 4.5 x 10

5 square miles

C. 5.985 x 105 square miles D. 5985 x 10

5 square miles


3. The diameter of a pollen grain from a flower can range from 0.0000004 inches to 0.00002 inches. Which of the following would be an equivalent description of the range of the diameters of pollen grains?

A. from 4/100,000 inches to 2/1, 000 inches B. from 4/10, 000, 000 inches to 2/10,000 inches C. from 4 x 10-6 inches to 2 x 10-4 inches D. from 4 x 10-7 inches to 2 x 10-5 inches

4. The diameter of the sun is 864,000 miles. How can this value be expressed in scientific notation?

A. 8.64 x 105 B. 0.864 x 105 C. 86.4 x 103 D. 8.64 x 10-5 5. The power output of a nuclear reactor is 2.4 x 10

7 watts. Which number expresses the same

value in standard notation? A. 2,400,000 watts B. 9,400,000 watts C. 16,800,000 watts D. 24,000,000 watts

6. Jupiter’s diameter is 88,640 miles. How is this measurement expressed in scientific notation? A. 8.864 × 10

3 miles B. 0.864 × 10

4 miles C. 8.864 × 10

4 miles D. 88.64 × 10

4 miles

7.


OGT Preparation #3 Name___________________ NS02 –Fractions(Ratios), Decimals, and Percent


1. A dance committee surveyed some students about suggestions for the next school dance. When they analyzed the results, 45% of those surveyed were seniors, 1/4 of those surveyed were juniors, 0.1 of those surveyed were sophomores, and the remainder were freshmen. What fraction of the students surveyed were freshmen?

A. 1/20 B. 1/5 C. 3/10 D. 2/5 2. A DVD player is on sale for 15% off the regular price of $135. After the price reduction, a 5% sales tax is added. How much will a customer pay?

A. $141.75 B. $120.49 C. $114.75 D. $109.01 3. Tina plays on the Lakewood High softball team. During her first season, she went to bat 27 times and got 6 hits. If she continues to hit at about the same rate, how many total hits will she have if she bats 40 times?

A. 4 B. 9 C. 15 D. 19 4. [SA] Two years ago Monique paid $5.50 for the rookie baseball card of her favorite New York Yankees player. The card is now worth $17.00. Sean, her brother, paid $12.00 for his favorite card, and it has a current value of $27.00. Sean says that his card has increased more in value than Monique’s card. Monique says that her card has increased more in value than Sean’s card. In your Answer Document, show how both Monique and Sean can be correct. Support your answer by showing work or providing an explanation.


5. Three-fifths of a city’s population is registered to vote. In the last election, 75% of the registered voters cast a ballot. What fractional part of the city’s population voted in the last election?

A. 9/20 B. ¾ C. 4/5 D. 27/20 6. A state game warden has been observing deer during a particularly severe winter. She recorded that 14 of the 96 deer she observed throughout the state appeared to be suffering from malnutrition. The state has an estimated deer population of 600,000. Based on her observations, approximately how many deer would she predict are suffering from malnutrition?

A. 14,000 B. 72,000 C. 88,000 D. 96,000 7. Carmella has a coupon that allows her to buy one pair of shorts at the regular price and get a second pair at half the regular price. The shorts cost $25.50 per pair. When Carmella arrives at the store, she finds that the shorts are on sale for 30% off the regular price. This sale does not allow coupons to be used on the discounted items. In your Answer Document, explain whether two pairs of shorts would cost less by using the coupon or by buying two pairs of shorts at the sale price. Provide mathematical calculations and/or reasoning to support your answer. 8. [SA] The population density of a state, in people per square mile, is found by dividing the population of the state by its area in square miles. Florida has an area of 53,936 square miles. In 1998, Florida had a population of 14,915,980 and a population density of 276.5 people per square mile. In your Answer Document, describe the conditions under which a different state could have a smaller population than Florida but have a greater population density. 9. Light travels at a speed of 1.86 × 10

5 miles per second. A light-year is defined to be the distance

that light travels in one year. In your Answer Document, determine the number of miles in one light-year. Write your answer in correct scientific notation. Show all of your work or provide an explanation for your answer.


10. Six hundred sixty students cast their votes for Junior Class President at Hillmark High School. The results are shown in the graph below.

If one-third of those who voted for Zach were girls, how many girls voted for Zach?

A. 220 B. 165 C. 110 D. 55 11. Central Health Center employs 360 individuals. The graph shows the different types of positions at Central Health Center.

Approximately 48% of the physicians and dentists employed by Central Health Center are women. How many of the physicians and dentists are women?

A. 26 B. 28 C. 36 D. 37


12. [SA] Three different opinion polls show different results for the proportion of voters expected to vote for Candidate A in an election for mayor. Poll 1: Nine of every 20 voters are expected to vote for Candidate A. Poll 2: The percentage of voters expected to vote for Candidate A is 52%. Poll 3: There are 130,000 people expected to vote, and of these, 55,000 are expected to vote for Candidate A. In your Answer Document, determine which of these polls shows the greatest favorable result for Candidate A. Show your work or provide an explanation for your answer. 13. [SA] An organization distributes money to various groups in the Toledo area. This organization expects to receive a gift of 15% of a $5.8 million grant. Sixty-seven percent of this gift will be distributed to the Toledo Arts Festival. In your Answer Document, compute the amount that the Toledo Arts Festival will receive. Show or explain all steps used in finding the answer. 14. [SA] Adam was going to buy a new lawn mower from Lawn Care Depot for $169, less a 10% discount. He saw the same mower on sale at Tractors-R-Us. Their mower originally cost $210 and was on sale for 13 off. In your Answer Document, determine the sale price of the mower at each store. Show your work or provide an explanation to support your answer. Identify which store would be the most economical place to purchase the mower.


OGT Preparation #4 Name__________________ ME06 - Area


1. The area of a right triangle is 24 square feet. second right triangle has a base that is 2 times as long as the first triangle’s base and a height that is 3 times as long as the first triangle’s height. What is the area of the second triangle? A. 48 square feet B. 72 square feet C. 144 square feet D. 864 square feet 2. Jennifer wants to close off a rectangular area in her lawn so that she can leave her dog outside. She buys enough fencing to close off 252 square feet of lawn. If the length of the enclosure is 21 feet, what is the width?

A. 12 feet B. 14 feet C. 231 feet D. 273 feet

3. Dominic cuts out the largest possible circle from his 2-foot by 2-foot piece of art paper. Which is a reasonable estimate of the fraction of the art paper that is left over?

A. less than ¼ B. between 1/4 and ½ C. between 1/2 and ¾ D. more than 3/4

4. In the diagram below, line segment AT is a diameter of the circle with center O. What is the area of the shaded part of the circle? A. 18.3 cm

2 B. 42.3 cm

2

C. 145.6 cm2 D. 194.1 cm

2

Review----------

------------------------------


6. Gene has a cylinder with radius 4 inches and height 2 inches. He cut the cylinder in half along the length of the diameter, as shown in the diagram below.

What is the area of the shaded cross-section?

A. 48 π square inches B. 24 π square inches C. 16 square inches D. 8 square inches

7. [SA] The floor plan of one room in a bookstore is a square with an area of 576 square feet. Part of this room is taken up by a café. The border of the café runs from the midpoints of two adjacent walls.

In your Answer Document, find the area, in square feet, of the café. Show your work or explain how you found your answer.


8.

9. Tammy is roofing a house. She must buy enough shingles to cover the shaded rectangular

areas on both sides of the roof, as shown in the diagram below.


10. The diagram below shows the dimensions of a wall that needs to be painted. The door represented by the shaded rectangle is not to be painted.

In your Answer Document, determine the area, to the nearest square foot, of the wall that is to be painted. Show your work or provide an explanation for your answer.


OGT Preparation #5 2009 Name__________________ ME02 - Volume


1. Artie constructed a decorative planter using ten 4-inch squares attached to a rectangular base as shown below. What is the volume of his planter? A. 160 cubic inches B. 192 cubic inches C. 256 cubic inches D. 384 cubic inches

2. Mr. Anderson has machinery on his farm that allows him to bale hay two different ways: “round” and “square.”

Approximately how many “square” bales contain the same amount of hay as one “round” bale? A. 14 B. 17 C. 21 D. 84

3. A diagram of the floor plan of a storage room is shown below. If the ceiling is 12 feet above the floor, what is the capacity of the storage room, in cubic feet? A. 118 ft3 B. 600 ft3 C. 1,416 ft3 D. 1,800 ft3


Review ----------------

----------------------------------------- 5. A circular pool has a diameter of 12 feet.

About how much water is needed to fill the pool to a depth of 4 feet?

A. 75 cubic feet B. 150 cubic feet C. 450 cubic feet D. 1,800 cubic feet 6. Bart has a cylindrical pitcher with a radius of 6 cm and a height of 12 cm. He pours 1,300 cubic centimeters of lemonade into the pitcher. Approximately how much more lemonade will the pitcher hold?

A. 36 cubic centimeters B. 57 cubic centimeters C. 622 cubic centimeters D. 1,357 cubic centimeters

7. An aquarium is 60 centimeters long, 20 centimeters wide and 30 centimeters high. What volume of water, in cubic centimeters, does the aquarium contain if it is 2/3 full? A. 1,200 cm

3 B. 11,000 cm

3 C. 24,000 cm

3 D. 36,000 cm

3

8. Madison is filling balloons with helium. When full, the balloons are nearly spherical in shape with a diameter of 12 inches. What is the approximate volume of each balloon when it is full?

A. 115 cubic inches B. 450 cubic inches C. 680 cubic inches D. 900 cubic inches


9. A compound glue comes in a cylindrical tube divided down the middle to separate the glue agent from the hardening agent as shown. What is the approximate volume of the section of the tube containing the hardening agent?

10. Lester keeps his frog in a glass container with the dimensions shown below. He pours water into the container to a height of 1.5 inches. What is the volume of water in the container? A. 135 cubic inches B. 216 cubic inches C. 1,440 cubic inches D. 2,160 cubic inches

11. Marny wants to approximate the amount of wax needed to make a crayon. The dimensions of the crayon are shown below. About how many cubic centimeters of wax are needed to make this crayon? A. 18 cm3 B. 22 cm3 C. 28 cm3 D. 88 cm3


OGT Preparation #6 Name__________________ ME07 – Similarity and Indirect Measurement & ME09 – Money, Time, Rate, Distance

1. Alanis is moving and needs to pack two mirrors. The larger mirror fits in a box that is 18 inches wide by 20 inches long. Her smaller mirror is similar in proportion to the larger mirror. Alanis determines that the width of the smaller box needs to be a minimum of 9 inches. What should be the minimum length of the box to hold the smaller mirror?

A. 2 inches B. 6 inches C. 9 inches D. 10 inches


2. Jennifer is designing a quilt. The pattern for

one part is shown in the rectangle.

3.

4. Janice had a 5-inch high by 3-inch wide photo enlarged to a 3.5-foot tall poster. What should be the approximate width of the poster?

A. 1.5 feet B. 2.1 feet C. 4.5 feet D. 5.8 feet 5. Alicia is 5 feet tall. She casts a shadow that measures 6½ feet long at the same time that a sculpture in the park casts a shadow 12 feet long. Which of the following is the approximate height of the sculpture?

A. 9 feet B. 16 feet C. 27 feet D. 78 feet


PART 2

1. Federico is paid $8.50 per hour for the first 40 hours he works each week. For each hour Federico works over 40 hours, he is paid for one-and-a-half hours. One week Federico works 48 hours. How much does Federico earn for working 48 hours in one week?

A. $340 B. $408 C. $442 D. $612


2. Helga earns $6.30 per hour working part-time at the grocery store. She records her starting and ending times each day on her time card.

Helga’s Time Card Date In Out

Monday 7/25 10:30 a.m. 2:00 p.m.

Tuesday 7/26 12:45 p.m. 3:30 p.m.

Wednesday 7/27

Thursday 7/28 12:00 p.m. 4:45 p.m.

Friday 7/29 11:15 a.m. 3:45 p.m.

In your Answer Document, determine Helga’s total wages for the week. Show your work or provide an explanation for your answer. Review--------------

----------------------------


6. [SA] Ernesco earns $9.00 an hour at his summer job. His employer must pay him “time and a

half” (

€

112

times his regular hourly earnings) for each hour over 40 hours per week. His employer

withholds 15% of his gross pay for various taxes. The table shows Ernesco’s work time for the week. Ernesco’s Hours

Mon Tue Wed Thu Fri

€

8 34

h 9h

€

10 12

h

€

11 34

h

€

9 12

h

In your Answer Document, determine the amount of Ernesco’s pay check, after taxes are withheld, for the week shown in the table. Show your work or provide an explanation to support your answer.

7. Enrica took two days to drive 1,020 miles. On the first day, she drove 10 hours at an average speed of 62 miles per hour. On the second day, her average speed was 57 miles per hour. Approximately how long did she drive on the second day?

A. 7.0 hours B. 8.6 hours C. 10.9 hours D. 17.0 hours

8. Before her trip to Canada, Liz exchanged 300 U.S. dollars for Canadian dollars at a rate of 1 U.S. dollar to 1.35 Canadian dollars. When Liz arrived in Canada, the exchange rate was 1 Canadian dollar to 0.76 U.S. dollars. In your Answer Document: • Determine the amount of money in Canadian dollars that Liz received for her 300 U.S. dollars. • Determine whether Liz would have received more Canadian money for her 300 U.S. dollars if she had waited to exchange her money in Canada. Show your work or provide an explanation for your answers.


OGT Preparation #7 Name__________________ AL04 - Solving an Equation & AL07 - Interpreting a Graph or Table

Choices: 4 6 7 8

Choices: 20 35 45 60

Choices: -8 -2 4 9


1. Pippi calculates her total earnings for the month with the equation E = 15m + 5b, where E is the total number of dollars she earns, m is the number of lawns she mows, and b is the number of hours she baby-sits. If Pippi mows 6 lawns, how many hours must she baby-sit to earn a total of $200?

A. 20 B. 22 C. 40 D. 45

2. Neal is selecting a new health club. The one he likes has monthly dues of $24 and a start-up fee of $400. He has determined that the equation y= 24x + 400 can be used to find y, the total cost of being a member at the club based on the number of months, x. After how many months will Neal have spent exactly $1,000 at this health club?

A. 16 B. 25 C. 41 D. 58 3. A telephone manufacturing company has determined that the cost of producing a certain type of telephone can be found by using the equation y = 42 x + 2,000, where y is the production cost and x is the number of telephones produced. The company accountant calculates an average daily production cost of $8,426. Approximately how many telephones does the company produce daily?

A. 153 B. 248 C. 6,426 D. 355,892 4. Which equation is equivalent to 3(2x – 5) = 4(x + 3)?

A. 2x = –27 B. 2x = 27 C. 10x = –27 D. 10x = –3

5. A producer has $2 million budgeted for costs related to filming a movie on location. She estimates the costs to be: c = $108,000n + $175,000 where c = costs in dollars and n = number of days. What is the greatest number of days she can film on location and remain within the budget?

A. 11 days B. 16 days C. 18 days D. 20 days 6. Marcy and Troy disagreed about the answer to a problem. Marcy said that the equation they were working on had more than one solution. If Marcy is correct, on which of these equations could they have been working? A. 2x + 4 = 3x + 4 B. 2x + 4 = 3x + 5 C. 2x + 4 = 2(x + 2) D. 2x + 4 = 2(x + 3)


PART 2

1. Ted and Bob each must type a 1,500-word research paper. The graph below represents their normal typing rates. Based on the information in the graph, which of these is a valid conclusion? A. Bob can type his research paper in half the time it takes Ted to type his paper. B. Ted can type his research paper in half the time it takes Bob to type his paper. C. Ted will take 4 minutes longer than Bob to type his research paper. D. Bob will take 4 minutes longer than Ted to type his research paper.

2. Which graph represents a linear function?


REVIEW -----------------

------------------------ 3. Which pair of equations represents lines that are parallel and perpendicular, respectively, to

the graph of

€

y =−34x + 4

A.

€

y =34x + 3 and

€

y =−34x + 5 B.

€

y =34x + 6 and

€

y =−43x + 2

C.

€

y =−34x + 5 and

€

y =34x + 4 D.

€

y =−34x + 8 and

€

y =43x +1

4. Travis went on a long trip. The graph below represents the relationship between distance and time.

During what interval was Travis’ average rate of travel the fastest?

A. 0 to 6 B. 6 to 8 C. 8 to 11 D. 11 to 16


5. Sheila collects the following statistics about baseball games played by the local Youth League team: Youth League Statistics

Year Number of Wins Average Number of Spectators Per

Game

Average Number of Sodas Sold

Per Game

Average Number of Hot Dogs Sold

Per Game 1997 1 100 50 70 1998 3 160 70 90 1999 5 220 110 110 2000 7 280 180 130

Which statistic shows a non-linear rate of increase over time? A. number of wins B. average number of spectators per game C. average number of sodas sold per game D. average number of hot dogs sold per game 6. Jessica participated in a walk-a-thon to raise

money for a local charity. She began walking at a rate of 3 miles per hour. The graph represents her distance walked as a function of time.

If Jessica had walked at an average rate of

2 miles per hour, which of the following accurately illustrates how this graph would appear, using the same scale?


7. Which graph represents a linear function?


OGT Preparation #8 Name__________________ AL05 - Number Patterns, Finding the Nth Term (table to graph) & AL06 – Write an equation

1. The table below contains the results of a biology experiment.

Record of Blooms Week 1 2 3 4 5 Number of Blooms

3 9 27 81 b

Assuming the pattern shown in the table continues, what is the value of b? A. 108 B. 130 C. 162 D. 243

2. Maria is making a quilt. She has a large piece of fabric that is 0.02 millimeters thick. The fabric is cut in half and one piece is placed on top of the other to make a pile. The pile is cut in half, and then one half is placed on top of the other to make a higher pile. Continuing this process, what would the thickness of the pile be after the 4th cut and piling?

A. 0.0016 millimeters B. 0.08 millimeters C. 0.32 millimeters D. 16 millimeters


3. The first four rows of a number array are shown below. Row 1 10 Row 2 20 30 Row 3 40 50 60 Row 4 70 80 90 100

What number will be at the far right end of row 7?

A. 150 B. 210 C. 280 D. 360 4. The depth of a lake is measured at the same location and on the same day every year for a number of years. The table below shows the measurements.

Depth of Lake Year Depth (in feet) 1998 60 1999 55 2000 48 2001 39

5. If the pattern continued, what was the depth of the lake in 2002?

A. 30 feet B. 29 feet C. 28 feet D. 25 feet Nancy decided to breed gerbils to sell to a pet store. She started with 2 gerbils and determined that they should quadruple in number every 4 months. Nancy sold all of the gerbils to the pet store at the end of 1 year. How many gerbils did Nancy sell to the pet store? A. 24 gerbils B. 66 gerbils C. 128 gerbils D. 512 gerbils


7. The owner of a sporting goods store is following a pattern to arrange baseballs into 7 rows for a wall display. The table shows the number of baseballs in the first four rows of this pattern.

How many baseballs are in the seventh row of this pattern?

A. 17 B. 15 C. 10 D. 4


1. The table below shows values for x and y.

x y 0 –1 1 0 2 3 3 8 4 15 5 24

Which of these equations represents the relationship between x and y?

A. y = x – 1 B. y = x + 19 C. y = x2 – 1 D. y = 2x2 – 5

2. A construction company buys $38,400 worth of new equipment, the value of which decreases linearly so that its value after 8 years is $2,200. By what amount is the value of the equipment decreasing per year?

A. $ 275 B. $4,525 C. $4,800 D. $5,075 3. Michael paid $6.00 for a ticket to a football game. Soft drinks at the game cost $0.75. Michael bought x drinks at the game. Which equation represents the total amount (y) he spent? A. y = (6 + 0.75)x B. y = 6x + 0.75 C. y = 6 – 0.75x D. y = 6 + 0.75x REVIEW-----

-----------------


4. Under ideal conditions, there is an inverse relationship between the pressure (P) and the volume (V) of a gas. The table shows the relationship of the experimental pressures recorded for four different volumes of the gas.

Pressure and Volume of Experimental Gas (Boyle’s Law) Volume (liters) Pressure (kilopascals)

1.9 50.2 2.8 34.9 8.7 11.5 6.6 15.0

Which equation shows the relationship between the pressure and the volume of this gas?

A. B. C. D. V = P – 48 5. The first 5 terms of a sequence are given in the table.

Term Number (n) Term Value (t) 1 2 2 5 3 10 4 17 5 26

For this sequence, which of these represents the relationship between n, the number of the term, and t, its corresponding value? A. t = n2 + 1 B. t = 2 n + 1 C. t = 3 n – 1 D. t = 2 n2 – 1 6. SA. (2 points) The maximum heart rate is the highest number of beats per minute recommended for a person while exercising. The rate is dependent upon the age of the person as shown below. The relationship is linear.


7. Mr. Richards needs to price items that must be sold within 90 days, and he has two options. In Option A, Mr. Richards prices items at $225 and gives $1.00 off the price for every day that the item does not sell. For Option B, he prices items at $250 and gives $2.00 off for every day the item does not sell. In your Answer Document, write an equation for each option that relates the price of the item to the number of days that the item has not sold. Use the equations to find the day on which the two options yield the same price. 8.

9. [SA] Last spring, the employees of an Akron tire company contributed to a local charity. The graphic represents the total dollar contributions as of several dates in April. In your Answer Document, determine on what date the charity could have expected to reach its goal of $1,000, if the pattern of donations remains about the same. Show your work or provide an explanation for your answer.


OGT Preparation #9 Name__________________ AL08 - Systems of Equations

1. A system of equations is shown below.

3x + 2y = 19 2x - y = 1

What is the solution to the system of equations? A. x = 1, y = 1 B. x = 3, y = 5 C. x = 7, y = –1 D. x = 19, y = 1

2. For every lawn that she mows, Jane charges $8 per hour for every hour that she works. For each lawn that he mows, Bob charges a fixed fee of $20 and an additional $5 for every hour that he works. What is the fewest number of hours that both could work so that Jane’s total pay for a lawn will be greater than Bob’s?

A. 1 hour B. 5 hours C. 6 hours D. 7 hours 3. Sara ordered 2 slices of pizza and a 12-ounce cola and paid $3.00. Sydney ordered 3 slices of pizza and 2 12-ounce colas for $4.75. How much does a slice of pizza cost?

A. $0.50 B. $1.00 C. $1.25 D. $2.50 4. Roni and Kelsey bought the same types of flowers from a florist. Roni bought 5 roses and 2 carnations and was charged $17.85 before tax. Kelsey purchased 1 rose and 6 carnations and was charged $12.25 before tax. How much did the florist charge for 1 carnation before tax?

A. $1.12 B. $1.55 C. $2.15 D. $2.80 5. [SA] Cameron had $500 in savings on January 1. Quinn had $800 in savings on January 1. Cameron deposits $20 per week into his savings account. Quinn withdraws $15 per week from his savings account. In your Answer Document, write two equations: one for the amount of money in Cameron’s savings x weeks after January 1st, and one for the amount of money in Quinn’s savings x weeks after January 1st. Determine the number of weeks until Cameron will have more money in his savings account than Quinn. Show your work or provide an explanation for your answer. 6. [SA] Mrs. Foyle told Yolanda that her test had 38 problems worth a total of 100 points. Each test problem is worth either 5 points or 2 points. Yolanda wanted to determine how many 2-point and how many 5-point questions are on the test. In your Answer Document, determine how many questions of each point-value are on the test. Show your work or provide an explanation to support your answer.


OGT Preparation #10 Name__________________ GE01 - Missing Angles & GE03 - Spatial intelligence and Polyhedra


1. A worker painted stripes for spaces in a parking lot. The worker first painted a center stripe that marked the front of the parking spaces. Then he painted parallel stripes marking the sides.

2. In which figure is the measure of angle 1 not equal to 60°?


3. Daniel cut the corner off a cube as shown in the diagram below.

Points A, B and C are the midpoints of the edges of the cube. What type of three Dimensional figure has been cut off?

A. cone B. cube C. triangular prism

D. triangular pyramid

4. The figure shows the net for a three-dimensional object.

When folded, which object will this net produce?


REVIEW------------------


5. When a marble hits a wall, it bounces off the wall at the same angle it hits the wall.

If a marble hits a wall at a 22 degree angle, what is the measure of the angle between the two paths of the marble?

6. When framing in a wall, carpenters make sure that all vertical studs are perpendicular to the floor and ceiling. They sometimes add a diagonal brace for added support during construction (as shown in the drawing). When the vertical studs are perpendicular to the floor, which pair of angles will always be congruent?

A. angle1 and angle2 B. angle3 and angle6 C. angle5 and angle7 D. angle6 and angle9

7. Ms. Chen drew a diagram for a new patio in her backyard. The measure of ∠1 is 3 times as large as the measure of ∠2. What is the measure of ∠2? A. 45º B. 67.5º C. 120º D. 135º


PART 2 8. Josie claimed that all polyhedra have more vertices than faces. Which of these polyhedra shows that Josie’s statement is not always true?

9. Penny needs to make a model of an Egyptian pyramid for her history class. She plans to cut a shape out of thick cardboard and then fold it to make a pyramid with a square base. Which of these nets or shapes could Penny use to make her model?


10. The net creates a pyramid.

Which pyramid does this net create?

11. The figure shows two views of the same object.

Which net will make the figure shown?

12. The diagram below shows two of the faces of a prism.

Ellen is constructing this triangular prism out of cardboard. Ellen plans to draw a shape (a net of the prism) on a piece of cardboard that she can cut out and fold to make the prism.

In your Answer Document, sketch a net of the prism that Ellen could use. Place the dimensions on the net.


OGT Preparation #11 Name__________________ GE05 - identifying polygons and properties of polygons


1. Points P, Q and R are shown below.

These points are three vertices of a parallelogram. What are the coordinates of the fourth vertex of parallelogram PQRS?

A. (4, 6) B. (5, 2) C. (8, –1) D. (9, 1)

2. The coordinates of triangle KLM are K: (–2, –5), L: (0, 1) and M: (6, –2).

What type of triangle is KLM?

A. obtuse isosceles B. acute scalene C. right isosceles D. right scalene

3. Points E, F, G, and H are midpoints of the sides of quadrilateral ABCD.

If AC = 12 and BD = 8, what is the perimeter of quadrilateral EFGH?

A. 96 B. 40 C. 20 D. 4


REVIEW---------------------

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4. An electronics engineer is programming the computer that controls the circuit board cutting tools. He enters the coordinates of the vertices of a rectangular circuit board. The first three coordinates are (2, 0), (2, 6) and (6, 6).

What are the coordinates of the fourth vertex? A. (0, 2) B. (0, 6) C. (6, 0) D. (6, 2)

5. The Venn diagram below represents relationships among various kinds of triangles.

Which of the following triangles is included in the shaded region?


6. Three vertices of a quadrilateral are (–1, –1), (1, 2) and (5, 2).

When used as the last vertex, which point

would make the quadrilateral a trapezoid?

A. (3, 0) B. (3, –2)

C. (–5, 0) D. (7, –1)

7. The vertices of a quadrilateral are (2, 2), (4, 6), (8, 2), and (10, 6).

Which describes this quadrilateral? A. parallelogram B. rectangle C. rhombus D. square

8. Which figure is not a parallelogram?

9. The figure shows a three-dimensional object when viewed from above.

Which of these objects could the sketch represent? A. pentagonal pyramid B. rectangular prism C. square pyramid D. triangular prism


10. [SA] Four points are connected with line segments, as shown on the coordinate plane below.

Determine if the shape is a parallelogram. Show your work or provide an explanation to support your answer.


OGT Preparation #12 Name__________________ GE06 - Transformations 1. [SA] By the end of summer vacation, Callie had completed one-fourth of a quilt, as shown in the diagram below. To finish the quilt, Callie plans to reflect the design of the completed portion over lines p and q until all 4 portions are complete. In your Answer Document, copy the diagram above. Add the reflections of the completed portion of the quilt on the same sketch to show how the entire quilt will look when it is finished.

2. Jake is using a computer program to design parts for a new car. He has outlined one-half of a part on a coordinate grid. Rather than drawing the second half, he plans to have the computer reflect this shape over the y-axis. Which of the following represents the 5 vertices of the reflected shape? A. (0, 0); (0, 2); (−1, 3); (−2, 3); (−2, 0) B. (0, 0); (0, 3); (−1, 3); (−2, 2); (−2, 0) C. (0, 0); (0, −3); (1, −3); (2, −2); (2, 0) D. (0, 0); (0, −3); (−1, −3); (−2, −2); (−2, 0)


REVIEW-------------

------------------------- 3. The vertices of Triangle I are (1, 3), (2, 1) and (5, 0). Triangle I is reflected across the x-axis, resulting in Triangle II. Triangle II is then rotated 180º about the origin, resulting in Triangle III. In your Answer Document, draw and label Triangles I, II and III on the same coordinate plane. Describe a single transformation that would map Triangle I directly onto Triangle III.


4. The quadrilateral STUW has vertices at the coordinates (1, 1), (2, 5), (5, 5), and (8, 1), as shown.

What are the coordinates of the vertices of quadrilateral STUW when it is reflected over the x-axis? A. (1, 1), (2, 5), (5, 5), (8, 1) B. (–1, 1), (–2, 5), (–5, 5), (–8, 1) C. (–1, –1), (–2, –5), (–5, –5), (–8, –1) D. (1, –1), (2, –5), (5, –5), (8, –1)

5. The quadrilateral below is to be translated 6 units to the right and 3 units down.

Which ordered pair is not the coordinates for a vertex of the translated image?

A. (3, –4) B. (3, –1) C. (3, 2) D. (1, –1)

6. [ER] Triangle DEF has vertices with coordinates D(–2, 1), E(1, 5) and F(2, 3). In your Answer Document, draw and label triangle DEF on the grid provided. Draw the triangle D’E’F’ by translating each vertex of triangle DEF three units to the right and two units down. Appropriately label triangle D’E’F’. Draw the triangle D”E”F” by translating each vertex of triangle D’E’F’ two units to the left and seven units up. Appropriately label triangle D”E”F”. Describe the movements necessary to perform a single translation of each vertex from triangle DEF to triangle D”E”F”. 00NXBXL0563B


OGT Preparation #13 Name__________________ DA01 – interpreting a graph & DA05 – Statistical Processes and Representations

1. George wants to conduct a survey to determine the types of music that the students want at a school dance. Which sample population should George survey to represent the entire student body?

A. survey the teachers B. survey the captain from each sports team C. randomly survey two people from each homeroom class D. randomly survey 50 people from the freshman class

2. The students at Watertown High School are raising money for homecoming. The graph shows the amount of money each class has raised so far.

About what percentage of the money raised did the sophomore class earn?

A. 25% B. 33% C. 43% D. 50%


3. Last month members of a Fostoria youth group spent time doing community service. The graph shows the numbers of students who contributed certain hours of service.

How many members spent 10 or more hours in community service last month?

A. 3 B. 4 C. 9 D. 12 4. The graph shows the total sales per year for the X300 and X400 speakers produced by an audio manufacturing company.

The manufacturer plans to discontinue the X300 speaker when the total sales for the X400 speaker are greater than the total sales for the X300 speaker. Based on the trend in the graph, what is the earliest year that the sales of the X400 speaker will be greater than the sales of the X300 speaker?

A. 2000 B. 2003 C. 2006 D. 2009


5. The graph shows the population of Ohio from 1900 to 1990.

Based on the data, in which decade did the population of Ohio increase the most?

A. 1910 to 1920 B. 1940 to 1950 C. 1950 to 1960 D. 1960 to 1970 6. The scatterplot below indicates the number of sit-ups and push-ups completed by each student in Mr. Jenkin’s physical education class.

If Mary did 35 push-ups, approximately how many sit-ups did she complete?

A. 30 B. 35 C. 45 D. 50 7. Susan entered a highway at 1:00. On highway, she had driven a total of 32 miles by 1:30, 61 miles by 2:00, and 125 miles by 3:00. Which kind of data display would be an appropriate way to show how Susan’s total driving distance varied with time? A. line graph B. circle graph C. stem-and-leaf plot D. box-and-whisker plot


REVIEW---------------------

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2. On the number line below, which letter best represents

€

70?

A. Q B. R C. S D. T


8. The histogram below displays student scores on Mr. Dell’s English exam.

How many students scored below 70 on the exam?

A. 4 B. 6 C. 9 D. 13

9. The graph below compares earnings categorized by level of schooling for males and females.

Which of the following statements is true based on the graph? A. Gender does not appear to have an impact on earnings. B. Education level does not appear to have an impact on earnings. C. The more educated a female, the wider the earnings gap between her and her male counterpart. D. As education level increases, the earnings gap narrows between males and females.


10. Ice cream vendors at the county fair gathered data about the various ages of people and their preferences for different ice cream flavors. The data are summarized in the table.

The circle graph below represents the flavor preferences for one of the four age groups.

Which age group’s preferences are represented in the graph?

A. under 12 B. 12 to 20 C. 21 to 45 D. over 45 11. The graph shows the percent of the total votes cast for each of the four candidates in Andersonville’s city council election.

If 2,542 people voted in this election, about how many votes did Lango receive?

A. 76 B. 141 C. 458 D. 915


12. Rubin used an altimeter to measure and record his height above sea level at different times during his hike in the mountains. Which type of data display could Rubin use to show how his height above sea level changed with time? A. line graph B. circle graph C. stem-and-leaf plot D. box-and-whisker plot

13. A scientist is studying the effect of rainfall on the height of a certain species of sunflower. The scatterplot shows the results.

What conclusion do the data support?

A. This species of sunflower will not grow over 7 feet high. B. With over 4.0 centimeters of rain per week, this species of sunflower will grow over 12 feet

high. C. If the rainfall is less than 2 centimeters, then this species of sunflower can still reach its

maximum height. D. This species of sunflower grows tallest when there are between 2.5 and 3 centimeters of

rain per week. 14. Which graphical representation would be most useful in comparing the change in average earnings of male employees versus average earnings of female employees over the course of a 50-year period? A. circle graph B. double line graph C. box-and-whisker plot D. back-to-back stem-and-leaf plot


15. An inspector at a nail factory checks a sample of nails to measure their deviation from the standard length. Positive deviation means a nail is too long, and negative deviation means it is too short.

Based on the inspector’s chart above, what is true of the nails produced at this factory? A. The nails produced all have the standard length. B. The nails are much more likely to be too long than too short. C. The nails are much more likely to be too short than too long. D. The nails are about as likely to be too long as they are to be too short. 16. The Ohio Big Tree Program lists the largest living specimen of each kind of tree found in the state. Three measurements are needed to assign a score to each tree:

Circumference (1 inch = 1 point) Height (1 foot = 1 point) Average crown spread (1 foot = 1/4 point)

The score is found by adding the number of points for each measurement. Four trees and their measurements are given below.

Selected Ohio Big Trees

Big Tree Circumference (in.) Height (ft) Average Crown Spread (ft)

American Basswood 175.0 69.0 68.0

American Beech 222.0 130.0 75.0

Black Oak 249.6 55.0 94.0

Eastern Hemlock 140.0 138.0 52.2

In your Answer Document, calculate the scores for each of the four trees in the table. Arrange the trees in order based on their scores. Show work or provide an explanation to support your answer. Write a formula for computing the score assigned by the Ohio Big Tree Program.


17. In honor of the new millennium, Stephanie buried a time capsule in her front yard. She sketched the location of key landmarks as shown below. She noted that the capsule was buried equidistant from the oak tree and the elm tree. It is also equidistant from the mailbox and the front door.

Which pair of coordinates is the closest estimate for the location of the time capsule? A. (4, G) B. (7, H) C. (8, G) D. (10, H) 18. The table shows the number of people who speak each of the six most common languages of the world.

Number of People (in millions) Mandarin English Hindi Spanish Russian Arabic 900 430 320 310 280 185 Which type of graph is appropriate to display the data in the table?

A. bar graph B. box-and-whisker plot C. line graph D. scatterplot

18. Jeffrey wants to determine the favorite professional sport of the students in his high school. Which sample should Jeffrey use? A. a random sample of the students in the chess club B. a random sample of the students on the football team C. a random sample of the students on the official school roster D. a random sample of the students in the library during fifth period 19. [SA] A town is conducting a survey to determine if the residents would use a new recreation facility. The survey must represent all different types of people who live within the town. Three different survey locations were proposed: a golf course, a day care center and a shopping mall. Every fifth person at the location would be asked to take part in the survey. In your Answer Document, determine which of the three proposed survey locations would provide the least amount of bias. Show your work or provide an explanation for your answer.


20. The local newspaper publishes a list of the five most popular radio stations. Lisa’s favorite station is not on the list. At school, she asks two of her friends what their favorite station is, and they both choose Lisa’s favorite station. Based on this, Lisa decides her favorite station should have been on the list. In your Answer Document, explain why Lisa’s conclusion is not valid by giving two reasons why her sample is biased. 21. A restaurant manager is planning a survey to determine which three desserts are most preferred by his customers. Which sample would best represent the customers at the restaurant? A. Survey all children who enter the restaurant. B. Survey all customers over 50 years old for one week. C. Survey all of the men that come into the restaurant for one week. D. Survey every fifth customer that enters the restaurant for one week. 22. The transportation department has selected three possible routes for a new section of highway and wants to know which route landowners and residents of the affected areas prefer. The transportation department plans to survey the public by posting the three possible routes on the department’s Web site with a request that all visitors to the Web site vote for their preferred route. In your Answer Document, explain why the design of the survey does not provide a representative sample of the landowners and residents of the affected area. Give an example of how the design of the survey could be changed to better represent the affected population.


OGT Preparation #14 Name__________________ DA02 – central tendency

1. The mean weight of the five returning members for Cardinal High School’s wrestling team is 168 pounds. Three freshman wrestlers joined the team. If their weights are 140, 172 and 168 pounds, what is the mean weight of this year’s team?

A. 160 pounds B. 162 pounds C. 165 pounds D. 168 pounds 2. To test the effect of a new medication on reaction time, two groups of 5 adults were asked to step on a pedal as soon as they saw a flashing light on a video screen. One group received the medication, and the other group did not receive the medication. The reaction times, in fractions of a second, are shown for each of the two groups.

Group receiving medication: 0.55, 0.65, 0.60, 0.50, 0.70 Group not receiving medication: 0.20, 0.30, 0.25, 0.20, 0.30

How much longer is the mean reaction time of the group receiving the medication than the group not receiving the medication? A. 0.35 seconds B. 0.40 seconds C. 0.50 seconds D. 1.75 seconds


3. SA (2 points) The following table contains math contest scores of two teams in a high school math contest.

REVIEW---------------------


--------------------------------


4. Aaron wants the mean of his 5 geometry test scores to be at least 90%. His scores on the first four tests are 85%, 83%, 96% and 91%. What is the minimum score Aaron can earn on the fifth test to meet his goal?

A. 89% B. 90% C. 95% D. 100%

5. Weekly salaries of the employees at a local video store are shown in the table below.

What is the mean weekly salary at this video store? A. $230.48 B. $242.00 C. $322.67 D. $350.00 6. A video game company reports the sales of video games for the first 11 months.

The company’s goal is to sell an average of 5 million games per month. What is the minimum number of video games the company must sell in the 12th month to meet its goal?

A. 4.8 B. 5.0 C. 5.2 D. 5.4 7. Consider the following scores: 12, 56, 62, 66, 74, 83, 88, 90, 93, 96 If the outlier, 12, is removed from the set above, what is the approximate increase in the mean of the remaining scores?

A. 3 B. 7 C. 12 D. 84


8. [ER] The average salary for all department store workers in a certain area is $255 a week. The weekly salaries of the 7 employees in the Acme Department Store are given in the table below. Acme Employees’ Salaries Employee Number Salary Employee 1 $240 Employee 2 $245 Employee 3 $245 Employee 4 $250 Employee 5 $252 Employee 6 $260 Employee 7 $420 In your Answer Document, determine the measures of center (mean, median and mode) of the 7 salaries. Specify which of these measures of center the management could use to represent the salaries in an argument against pay increases. Explain your answer. Specify which of these measures of center the labor union could use to represent the salaries in an argument for pay increases. Explain your answer. 9. In 1993, the median age of brides in Ohio was 27.0 years and the median age of grooms was

28.9 years.

Based on this information, which of the following statements must be true?

A. Most brides were 27 years old. B. The youngest groom was 28.9 years old. C. Half of the grooms were 28.9 years old or older. D. All the grooms were older than the brides were.

10. A set of data contains 10 negative numbers and 4 positive numbers. Which one of these statements must be true?

A. The mean is a negative number. B. The median is a negative number. C. The mode is a negative number. D. The range is a negative number.

11. The noon temperatures are recorded for 7 consecutive days in Cleveland, Ohio. The sum of the 7 temperatures is positive. Which statement about these 7 temperatures must be true? A. The mean of the temperatures is positive. B. The mode of the temperatures is positive. C. The median of the temperatures is positive. D. The minimum of the temperatures is positive.


OGT Preparation #15 Name__________________ DA03 – Counting & DA06 – Probability

1. Alfredo has forgotten the three-digit code to the lock on his suitcase. Alfredo remembered that the first digit is 3 and the last digit is either 2 or 4. The middle digit could be any number from 0 through 9 inclusive. What is the greatest number of three-digit codes Alfredo might have to try in order to be sure to open his suitcase?

A. 10 B. 12 C. 20 D. 60 2. Marty bought 4 new books today. He plans to read 2 of these while on vacation. How many

combinations of 2 books from the group of 4 books could he choose to read?

A. 2 B. 4 C. 6 D. 12 3. One style of jacket comes in three sizes: small, medium or large. These jackets have either buttons or a zipper. The jackets are available in five different colors. How many different combinations of this jacket are available?

A. 10 B. 15 C. 25 D. 30


4. Rene is selecting a menu for a party. He plans to select a meal that includes one main dish, one vegetable and one dessert from the following list of choices. Party Menu Main Dish Vegetables Desserts stuffed chicken breast Italian green beans peach cobbler grilled salmon corn on the cob German chocolate cake beef tips glazed carrots banana pudding baked potato ice cream with cookies strawberry shortcake How many different meals can Rene select?

A. 12 B. 32 C. 35 D. 60 5. Mara packed a blue denim shirt , a red striped shirt , a red plaid shirt, and a black tank top to take on vacation. She also packed one pair of denim shorts, one pair of white shorts and one pair of beige shorts. Mara took two different pairs of shoes with her. How many different combinations of outfits with one shirt, one pair of shoes and one pair of shorts could Mara use on her vacation?

A. 12 B. 24 C. 84 D. 504 6. A large corporation uses a telephone chain to notify employees of company closings due to bad weather. The plant manager calls 5 people in the first round of the telephone chain. Each of those people calls 5 other people in the second round of the telephone chain. If the pattern continues, how many employees are called in the 4th round of the telephone chain?

A. 125 B. 126 C. 625 D. 626 7. Casey has one afternoon to run errands involving buying a sweater, mailing a package and buying groceries. There are 3 clothing stores, 2 post offices and 4 grocery stores within a 10-mile radius. How many combinations of 1 clothing store, 1 post office and 1 grocery store are available within a 10-mile radius?

A. 3 B. 9 C. 19 D. 24


PART 2

1. Teresa is playing a new board game. She must spin the spinner twice and get the same

number both times in order to place her piece on the board. The diagram below shows the result of her first spin. Each number on the spinner has an equal chance of occurring.


2. Jack has a box with 10 unlabeled computer CD-ROMs. He knows that 2 are music CDs, 3 are game CDs, and 5 are picture CDs. Jack randomly selects a CD from the box. Which value represents the probability that the selected CD is a music or picture CD?

3. Luca randomly chose a marble from a bag, recorded the color and replaced the marble before choosing again. The table shows the number of times each color of marbles was chosen.

Color of Marble Number of Times Chosen

Red 42 Green 17 Blue 27 Yellow 14

According to the data in the table, what is the experimental probability of picking a green marble?

A. 17/100 B. 1/4 C. 17/83 D. 17/25 REVIEW--------------

Solve for x: 4x + 12 = 2x - 4

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4. Carlos and Tiesha empty a bag of 100 colored candies and count the number of each color, as shown in the following chart. Number of Candies of Each Color Color Number Red 10 Brown 30 Orange 20 Yellow 15 Green 10 Blue 15 They return all the candies to the bag and shake the bag. Carlos removes 5 candies, 2 of which are blue. Tiesha then pulls out one candy. What is the probability that Tiesha pulls out a blue candy?

A. 6.67% B. 13.68% C. 15.00% D. 15.79% 5. [SA] To demonstrate probabilities, a mathematics teacher had students draw marbles from a bag which contained 6 yellow marbles and 14 blue marbles. During class, the bag was dropped, and 2 yellow marbles and 2 blue marbles were lost. In your Answer Document, tell whether the loss of marbles changes the probability of drawing a blue marble from the bag. If so, was the probability increased or decreased? Support your answer by calculating the probability for each situation.

6. Rob has 3 red, 4 white, 2 blue, and 5 green T-shirts in his drawer. He picks a red shirt on Monday without looking. He notices a stain and puts the shirt in the wash. Without looking, Rob then picks another shirt from his drawer. What is the probability he will pick a red shirt on his second try?


7. The table below shows the number of fish caught each day last week. Number of Fish Caught Each Day Day Number of

Fish Caught

Monday 4 Tuesday 0 Wednesday 3 Thursday 2 Friday 0 Saturday 0 Sunday 5

If one day of that week is chosen at random, what is the probability that a minimum of one fish was caught that day?

8. [SA] The following numbers are written on individual pieces of paper and placed in a bag. Four numbers are randomly drawn from the bag and are placed in the order in which they were drawn to form a four-digit number.

In your Answer Document, determine the probability that a number created in this way has a value greater than 6,000. Show your work or provide an explanation to support your answer. 9. Each week, Ms. Haroma has each of the 25 students in her class write his or her own name on a piece of paper. All the pieces of paper are put in a jar and 1 student’s name is drawn from the jar. If Jamie’s name was drawn last week, what is the probability that it will be drawn again this week?

A. 1/2 B. 1/25 C. 1/50 D. 1/625


10. [ER] Anne, Brett, Carl, and Danielle each rolled an identical small wooden cube. Each face of the cube is painted red, yellow or blue. The color of the top face is recorded each time the cube is rolled. The table below shows the results for three of the students after each had rolled the cube varying numbers of times.

Name Number of rolls Number of times red face up

Number of times yellow face up

Number of times blue face up

Anne 10 3 4 3 Brett 30 4 14 12 Carl 60 12 27 21

In your Answer Document, predict the number of the faces on the cube that are red, the number that are yellow, and the number that are blue. Show your work or provide an explanation for how you predicted the number of faces that are each color. Danielle will roll the cube 75 times. Predict the number of times the cube will land with red as the top face, yellow as the top face, and blue as the top face. Show your work or provide an explanation for your predictions. 11. Mirachelle picked a colored cube from a bag of cubes, recorded the color and returned the cube to the bag. She did this 10 times. The table below shows the color of each cube as it was selected.

Using the information from the table, how many times would a yellow cube be expected in 30 picks?

A. 4 B. 10 C. 12 D. 30


12. Drake’s school awarded 450 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive a CD player. Drake received 3 tickets for good attendance, 5 for making the honor roll, and 2 for tutoring other students. What is the probability that one of Drake’s tickets will be selected by the principal?

13. Joel plays tic-tac-toe on his computer. The computer plays first and randomly places an “X” in one of the grid squares as labeled in the diagram.

The frequency table shows the computer’s first move for 50 games.


ogt preparation #1 name - kevin fraker · fraker's ogt prep book page 12 2011. ... central...

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