EOG Review

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Rational Numbers & Expression

Proportions/Ratios/
Percentages

Geometry

Probability

Statistics

100

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Evaluate the expression

4 1/2-(-2 1/3)

41/6 or 6 5/6

100

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Which decimal is equivalent to -9/4 ?

A. -1.25 B. -1.40 C. -2.25 D. -2.40

C. -2.25

100

Eduardo and his brother collect baseball cards. Eduardo wants to have 20% more cards than his brother. If his brother has 480 cards, how many cards does Eduardo want?

576

100

Ruth is making a wall clock out of wood. She needs to find the area of the clock so she can calculate how much paint to buy. If the diameter of the clock is 18 inches, what is the area of the clock? Use 3.14 for pi and round to the nearest whole number.

A. 81 square inches B. 114 square inches

C. 254 square inches D. 285 square inches

C. 254 square inches

100

Diego flips 2 coins. What is the probability that both will come up tails?

1/4

100

A high school student wants to conduct a survey of students that attend her school. Which survey sample would give her the best results?

A. Random students as they enter the school in the morning.

B. Random students from 4 freshman English classes.

C. Specific student from 2 sophomore classes and 2 senior classes.

D. Random students in the closest shopping mall.

A. Random students as they enter the school in the morning.

200

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A science teacher has 20% more students this year than last year among 3 classes. If she had 70 students last year, how many students does she have now?

A. 60 B. 84 C. 88 D. 90

B. 84

200

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Matthew earns $60 selling some books at a garage sale. He wants to save 3/4 of that. After he puts aside the money to save, how much will he have to spend?

$15

200

Miriam can make 3/4 of a necklace in 24 minutes. Sylvia can make 4/5 of the same necklace in 28 minutes. Who can make a whole necklace faster and by how much?

A. Miriam is faster by 2 minutes.

B. Miriam is faster by 3 minutes.

C. Sylvia is faster by 2 minutes.

D. Sylvia is faster by 3 minutes.

200

The diameter of a circle is 24 units. What is the circumference of the circle? Use 3.14 for pi and round to the nearest tenth.

A. 27.4 units B. 48.7 units

C. 56.3 units D. 75.4 units

D. 75.4 units

200

A container holds 6 red chips, 8 blue chips, 4 green chips, and 2 white chips. What is the probability that a person randomly pulling out a chip from the container will select a green chip?

A. 1/10 B. 1/5

C. 1/4 D. 6/20

B. 1/5

200

Steve notes the heights of the football players on the high school team. They are 62 in., 60 in., 72 in., 76 in., 73 in., and 63 in. Which two numbers would he use to find the range of the data set?

A. 76, 60 B. 72, 76

C. 73, 76 D. 62, 60

A. 76, 60

300

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Each pack of sugar-free gum at a store cost $0.89 including tax. If Evan pays $10.00 and receives $0.21 in change, how many packs of gum did he buy?

A. 6 B. 8 C. 11 D. 12

C. 11

300

Which expression is equivalent to 16 - 4y?

A. -8(-2 - y)

B. 4(-4 - y)

C. -4(-4 + y)

D. 8(2 - y)

C. -4(-4 + y)

300

Three yards of cotton fabric cost $15.00 and 4 yards of silk fabric cost $64.00. What is the difference in the unit price per yard for each kind of fabric?

$11

300

Bill needs to find the area of his living room so he knows how much carpet to buy. He draws this scale model with a scale of 1 inch = 4 feet. What is the actual area of Bill's living room?

A. 15 ft² B. 150 ft² C. 240 ft² D. 360 ft²

C. 240 ft²

300

The probability that a 10 card will be drawn from a set of 40 game cards is 1 out of 4. If a player randomly selects 20 cards, how many 10 cards would you expect to be part of the selected cards?

300

Two set of data appear in the table below. Which of the choices is a true comparison of the two sets of data?

A. The median of the first set of data is a higher value than the median of the second set of data.

B. The median of the first set of data is a lower value than the median of the second set of data.

C. The medians of the two sets of data are the same value.

D. The difference in the medians of the two sets of data is 100.

B. The median of the first set of data is a lower value than the median of the second set of data.

400

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Cathy buys 2 1/2 pounds of cashews and 2 3/4 pounds of pecans for a recipe. If the cashews cost $4.00 per pound and the pecans are on sale for $3.00 per pound, how much is Cathy's purchase before tax is added?

$18.25

400

What is the value of c when -8=(c-4)/6?

A. -16

B. -18

C. -30

D. -44

400

The grocery store sold 560 cans of chicken soup last month. This month, they only sell 475 cans of soup. What is the approximate percentage decrease in the number of cans of soup sold?

A. 10 percent B. 15 percent

C. 20 percent D. 25 percent

B. 15 percent

400

Sue is making a round pillow. She cuts a circle with a radius of 10 inches out of a square piece of fabric with sides that are 20 inches long. After Sue cuts out the circle, how much fabric will she have left? Use 3.14 for pi and round to the nearest whole number.

A. 86 in² B. 144 in² C. 172 in² D. 200 in²

A. 86 in²

400

Four workers flip a coin a different number of times.

~ Joel gets tails 60% of the time.

~ Susan gets tails 7 out of 12 times.

~ William gets tails 6 out of 8 times.

~ Mary gets tails 4/5 of the time.

Who gets the greatest percentage of tails?

A. Joel B. Susan C. William D. Mary

D. Mary

400

The probability that a student in the middle school will have blue eyes is 2 out 5. June says that if she surveys 300 students at the school, she could expect 30 students in that group to have blue eyes. Which choice is a correct statement?

A. June is correct because 10% of the students would have blue eyes and that would be 30 students.

B. June is incorrect because 40% of the students would have blue eyes and that would be 120 students.

C. June is correct because the second student in every group of 10 would have blue eyes.

D. June is correct because the tenth student in every group of 10 would have blue eyes.

B. June is incorrect because 40% of the students would have blue eyes and that would be 120 students.

500

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Which value for y makes these two expressions equivalent?

-4.8x + y -1.2(4x - 1.2) + 3.2

A. -4.64 B. 4.64 C. 6.4 D. 12.2

B. 4.64

500

A customer buys 1 1/2 pounds of nails at $0.59 per pound, 1 1/4 pounds of medium nails at $0.69 per pound, and 2 pounds of large nails at $0.89 per pound. Tax costs an additional 6% of the total. What is the approximate total he pays for the nails with tax?

A. $2.17 B. $2.30 C. $3.74 D. $3.85

C. $3.74

500

The equation y=$1.65x models the cost to purchase wire by the inch at the hardware store. If it cost $17.16 to buy 11 inches of the same wire at a different hardware store, how much less per inch is the second store charging for the wire?

A. $0.04 per inch B. $0.06 per inch

C. $0.09 per inch D. $0.13 per inch

C. $0.09 per inch

500

Alexa makes a round cake that has a diameter of 5 inches. Casey makes a cake that has a diameter of 6 inches. What is the approximate difference in area of the two cakes? Use 3.14 for pi .

A. 6 square inches B. 8 square inches

C. 12 square inches D. 14 square inches

B. 8 square inches

500

There are 4 choices of cookies: chocolate chip, butterscotch, sugar cookies, and peanut butter. If the probability of getting a chocolate chip cookie is 1/8 , the probability of getting a butterscotch cookie is 1/4 , and the probability of getting a sugar cookie is 1/8 , what is the probability of getting a peanut butter cookie?

1/2

500

A state representative took several random surveys of adults to find which place they visited most frequently. The average of all of the surveys is shown in this table. Based on the table, which conclusion can be made?

A. On average, 50% of the adults visited the zoo most frequently.

B. On average, 17% of the adults visited the park most frequently.

C. On average, 2 out of 25 adults visited the aquarium most frequently.

D. On average, 2 out of 10 adults visited the museum most frequently.