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CAHSEE Practice Test (problems: 1 - 80)

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Practice Test Problem List
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Problem 1

The radius of the orbit of the planet Mars is 227,940,000,000 meters. What is this number in scientific notation?

A.

B.

C.

D.

 
Problem 2

Which of the following numerical expressions results in a negative number?

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Problem 3

Four–fifths of the 35 members of an orchestra showed up for rehearsal on Wednesday. Five of those who came were violinists.

Which one of the following questions can be answered with the information given?

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Problem 4

What is the equation of the graph below?

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Problem 5

Which of the following graphs shows a line parallel to y = 2x + 3?

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Problem 6

Javier is using a ruler and a map to measure the distance from Henley to Sailport.

The actual distance from Henley to Sailport is 120 kilometers (km). What scale was used to create the map?

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Problem 7

The total water supply of the Earth is approximately 1,360,000,000 cubic kilometers. What is this number in scientific notation?

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Problem 8

A bag contains 3 red marbles, 5 blue marbles, 7 black marbles, and 10 green marbles. If Frederico randomly selects a marble from the bag, what is the probability that he does not choose a green marble?

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Problem 9

If x is an integer, what is the solution to ?

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Problem 10

What is the value of x5 when x = –2?

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Problem 11

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Problem 12

The Venn diagram below shows the number of girls on the soccer and track teams at a high school.

How many girls are on both the soccer and track teams?

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Problem 13

Five cowboys go shopping at Evan's Feed and Clothing Store. Each cowboy buys a hat for $95, boots for $78, and a belt buckle for $20. What is the total amount spent by the entire group?

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Problem 14

The short stairway shown is made of solid concrete. The height and width of each step is 10 inches (in.).

The length is 20 inches. What is the volume, in cubic inches, of the concrete used to create this stairway?

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Problem 15

Tarun is throwing darts at a dartboard. If he hits the bull's–eye with 3 of every 8 darts, what percent of the time does he hit the bull's–eye?

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Problem 16

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Problem 17

The table shows values for x and the corresponding values for y.

Which of the following represents the relationship between x and y?

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Problem 18

If n is any odd number, which of the following is true about n + 1?

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Problem 19

Which number equals ?

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Problem 20

Which of the following numerical expressions results in a positive number?

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Problem 21

In January, St. Mungo's Hospital had 440 patients. In February, they had only 385 patients. What is the percent of decrease?

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Problem 22

Ten is divided by a number between 0 and 1. The answer has to be

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Problem 23

The two circles shown have diameters of 5 cm and 10 cm.

What is ?

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Problem 24

What number equals ?

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Problem 25

Which of the following graphs could be the graph of y = –x3?

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Problem 26

Josephus uses of a cup of lemon juice to make a pitcher of lemonade. How many cups of lemon juice does he need to make enough for 12 pitchers?

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Problem 27

The Gurgling Fish Guts, a rock band, is charging $35 per ticket for their 2007 tour. Tickets for their 2006 tour cost only $20. What is the percent increase of the ticket cost for 2007 from 2006?

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Problem 28

The population of Monaco in 2006 was 32,543. Of these, 4,956 were under 15 years old. About what percent of the population of Monaco was under 15?

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Problem 29

The table below shows the number of visitors to a national monument during a 4–day period.

Which expression would give the BEST estimate of the total number of visitors during this period?

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Problem 30

If a = 3 and , then

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Problem 31

DJ Sleepy's CD collection is categorized by music genre.

According to the circle graph shown,

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Problem 32

The shaded region shown represents a plastic plate to be fixed around a power outlet.

How many square centimeters of plastic are used?

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Problem 33

From 1995 to 1996, 64 wolves were re–introduced to Yellowstone National Park. By 2005, the wolf population inside the park borders had increased to 112. What was the percent of increase over this period?

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Problem 34

Ardelia has a choice of four different starters and three different main courses for her dinner, as shown in the table.

If she chooses randomly, what is the probability she will order a greek salad?

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Problem 35

A shopkeeper has z kilograms of iodized salt in stock. She sells 24 kilograms and then receives a new shipment weighing 3x kilograms. Which expression represents the weight of the iodized salt she has now?

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Problem 36

The square root of 130 is between

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Problem 37

Which of the following expressions is the prime factorization of 140?

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Problem 38

A room has 4 times as many windows as it has doors. If w represents the number of windows and d represents the number of doors, which equation matches the information?

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Problem 39

Which of the following is the prime factored form of the lowest common denominator of ?

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Problem 40

Balaji put $6,000 in a savings account. Each year, the account earns 8% simple interest. How much interest will be earned in 4 years?

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Problem 41

In the figure shown, the radius of the inscribed circle is 9 in.

What is the perimeter of the square ABCD?

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Problem 42

Beulah has 8 blouses in her drawer: 3 red ones, 3 blue ones, a white one, and a striped one. If she takes out one blouse without looking, what is the probability that she will pick a red or blue blouse?

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Problem 43

Amy works as a computer consultant. She charges $30 per hour for her work. Which graph shows the relationship between the number of hours Amy works and the total amount of money she charges for her work?

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Problem 44

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Problem 45

Which scatterplot shows a negative correlation?

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Problem 46

Arun has the letter tiles shown in a bag.

He reaches in the bag and pulls out an A. He then puts the tile back in the bag. If Arun randomly selects another tile from the bag, what is the probability he will select an A again?

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Problem 47

Which of the following expressions is equivalent to ?

  • Correct