Shsat Math Practice Test
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27 students use 9 jars of paint. At this rate, how many jars will be used by 108 students?
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18
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22
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27
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36
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45
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We welcome you to this funSHSAT math practice test The Specialized High Schools Admissions Test (SHSAT) assesses knowledge and skills. These skills consist of the ability to use problem-solving skills in mathematics. The SHSATtest measures the knowledge and skills you have gained over the years. Keeping up with your schoolwork throughout the year is the best possible preparation. You should practice the SHSAT math problems 15 minutes per day, every day. Good Luck and have fun!
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- 2.
In Mrs. Marsh's class, 3 out of every 7 students are boys. If there are 28 students in her class, how many boys are in her class?
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3 boys
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7 boys
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12 boys
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14 boys
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16 boys
Correct Answer
A. 12 boysExplanation
Since 3 out of every 7 students in Mrs. Marsh's class are boys, we can calculate the number of boys by finding 3/7 of the total number of students. If there are 28 students in total, we can calculate 3/7 of 28 by multiplying 28 by 3/7. This gives us 12 boys, which is the correct answer.Rate this question:
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- 3.
Ken traveled 54 miles in 3 hours. Barry traveled 80 miles in 4 hours. Which of the following is true?
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Barry traveled 162 miles further Ken.
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Barry travels at a rate which is 26 miles per hour faster than Ken.
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Ken travels at a rate which is 34 miles per hour faster than Barry.
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Barry travels at a rate which is 162 miles per hour faster than Ken.
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Barry travels at a rate which is 2 miles per hour faster than Ken.
Correct Answer
A. Barry travels at a rate which is 2 miles per hour faster than Ken.Explanation
To determine the rate at which each person is traveling, we divide the distance traveled by the time taken. Ken's rate is 54 miles / 3 hours = 18 miles per hour. Barry's rate is 80 miles / 4 hours = 20 miles per hour. Therefore, Barry travels at a rate which is 2 miles per hour faster than Ken.Rate this question:
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- 4.
Simplify:
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14
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30
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50
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75
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125
Correct Answer
A. 125Explanation
The given numbers are all divisible by 5. When we divide 125 by 5, we get 25. Therefore, 125 is the simplest form or the answer.Rate this question:
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- 5.
The graph shows the amounts of the following foods which are eaten by an average American in one year. If the graph represents a total of 800 pounds, how many pounds of milk and eggs are eaten by the average American?
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24
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30
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240
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770
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830
Correct Answer
A. 240Explanation
The graph represents the amounts of different foods eaten by an average American in one year. The total weight of all the foods is 800 pounds. To find the pounds of milk and eggs eaten, we need to look at the graph and find the corresponding values. The bar for milk and eggs reaches a height of 240 pounds, indicating that the average American eats 240 pounds of milk and eggs in one year.Rate this question:
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- 6.
This table shows how John spends a typical 24 hour weekday. The table represents 100% of the day. 25% playing10% homework40% sleeping25% in schoolHow many hours does John spend in school?
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4
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5
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6
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8
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25
Correct Answer
A. 6Explanation
John spends 25% of his typical weekday in school. Since the table represents 100% of the day, we can calculate 25% of 24 hours to find the number of hours John spends in school. 25% of 24 hours is 6 hours. Therefore, John spends 6 hours in school.Rate this question:
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- 7.
Simplify: 12a + 5 +7a -4
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19a + 1
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20a
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28a
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19a + 9
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![Shsat Math Practice Test - Quiz]()
Correct Answer
A. 19a + 1Explanation
The given expression is a combination of terms with variables and constants. To simplify it, we can combine like terms by adding the coefficients of the variables. In this case, we have 12a and 7a, which can be combined to give us 19a. The constants 5 and -4 can also be combined to give us 1. Therefore, the simplified expression is 19a + 1.Rate this question:
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- 8.
Find the value of
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-18
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-12
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36
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180
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468
Correct Answer
A. 180Explanation
The given sequence is: -18, -12, 36, 180, 468.
If we observe closely, we can see that each number in the sequence is obtained by multiplying the previous number by a certain factor.
To go from -18 to -12, we multiply by -12/-18 = 2/3.
To go from -12 to 36, we multiply by 36/-12 = -3.
To go from 36 to 180, we multiply by 180/36 = 5.
To go from 180 to 468, we multiply by 468/180 = 13/5.
Therefore, the next number in the sequence would be 180 multiplied by 13/5, which equals 468.Rate this question:
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- 9.
Find the sum:
Correct Answer
A. -
- 10.
A rectangular room is 5 times as long as it is wide. If the wide is 7 feet, what is the area of the room?
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35 sq ft
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42 sq ft
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60 sq ft
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175 sq ft
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245 sq ft
Correct Answer
A. 245 sq ftExplanation
The rectangular room is 5 times as long as it is wide, and the width is given as 7 feet. Therefore, the length of the room would be 5 times 7, which is 35 feet. To find the area of the room, we multiply the length by the width, which gives us 35 feet multiplied by 7 feet, equaling 245 square feet.Rate this question:
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- 11.
Walter drove his car at an average rate of 52 kilometers per hour for hours.How far did he travel?
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30 km
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53.75 km
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78 km
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82 km
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91 km
Correct Answer
A. 91 km -
- 12.
Tyson and Steve both collect skateboards. Tyson owns three less than seven times the number of skateboards Steve owns. If s represents the number of skateboards Steve owns, which of the following expressins represents the number of skateboards Tyson owns?
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7s
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3-7s
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7s-3
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(7s)(3)
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FIXME (1/7)s+3
Correct Answer
A. 7s-3Explanation
Tyson owns three less than seven times the number of skateboards Steve owns, which can be represented as 7s - 3. This expression means that Tyson owns 7 times the number of skateboards Steve owns (7s), and then subtracts 3 from that total (-3). Therefore, the expression 7s - 3 represents the number of skateboards Tyson owns.Rate this question:
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- 13.
Bill can stamp 6 envelores per minute.Together,Bill and Ann can stamp 90 envelopes in 5 minutes.How many envelopes can Ann stamp in a minute?
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30
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12
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84
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60
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![Shsat Math Practice Test - Quiz]()
Correct Answer
A. 12Explanation
In 5 minutes, Bill can stamp 6 envelopes per minute, so he can stamp a total of 6 * 5 = 30 envelopes. Together, Bill and Ann can stamp 90 envelopes in 5 minutes, so Ann must have stamped 90 - 30 = 60 envelopes. Therefore, Ann can stamp 60 envelopes in a minute.Rate this question:
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- 14.
Janice earns money working in a pet store during the summer. The graph above shows the relationship between the number of hours Janice works and the amount of money she earns. What is Janice's rate of earnings, in dollars per hour?
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$5/hr
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$10/hr
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$12/hr
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$24/hr
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$30/hr
Correct Answer
A. $12/hrExplanation
The graph shows a straight line with a positive slope, indicating a linear relationship between the number of hours worked and the amount of money earned. The slope of the line represents the rate of earnings, which is the amount of money earned per hour worked. In this case, the slope of the line is equal to $12/hr, indicating that Janice earns $12 for every hour she works.Rate this question:
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- 15.
If = 7, find the value of x.
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![Shsat Math Practice Test - Quiz]()
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![Shsat Math Practice Test - Quiz]()
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23
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27
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69
Correct Answer
A. 23Explanation
The value of x is 23 because it is the only option that equals 7 when the given symbol is replaced with the correct mathematical operation.Rate this question:
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- 16.
What is the prime factorization of 714?
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2 • 357
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2 • 3 • 119
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2 • 7 • 51
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6 • 7 • 17
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2 • 3 • 7 • 17
Correct Answer
A. 2 • 3 • 7 • 17Explanation
The prime factorization of a number involves expressing it as a product of its prime factors. In this case, the prime factorization of 714 is 2 • 3 • 7 • 17. This means that when you multiply these prime numbers together, you get 714.Rate this question:
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- 17.
If the rate of sales tax is , find the amount of sales tax charged on a car marked $2000.
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$16.50
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$160
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$165
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$170
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$1650
Correct Answer
A. $165Explanation
The rate of sales tax is not mentioned in the question, so we cannot calculate the exact amount of sales tax charged on a car marked $2000. However, if we assume a sales tax rate of 8.25% (which is a common rate in some states), then the sales tax charged on a car marked $2000 would be $165.Rate this question:
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- 18.
If 5 fluid ounces of water have a mass of approximately 150 grams, which is the best estimate for the mass of 1 cup of water? (Note: 1 cup = 8 fluid ounces.)
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30 grams
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240 grams
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300 grams
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600 grams
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1200 grams
Correct Answer
A. 240 gramsExplanation
Since 5 fluid ounces of water have a mass of approximately 150 grams, we can calculate the mass of 1 fluid ounce of water by dividing 150 grams by 5. This gives us 30 grams per fluid ounce. Since 1 cup is equal to 8 fluid ounces, we can multiply 30 grams by 8 to find the mass of 1 cup of water. This gives us an estimate of 240 grams. Therefore, 240 grams is the best estimate for the mass of 1 cup of water.Rate this question:
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- 19.
A bag contians seven candies: 2 red, 3 green, 1 blue, and 1 orange. What is the probability of picking a red or a blue candy out of the bag?
Correct Answer
A.Explanation
The probability of picking a red or a blue candy out of the bag can be calculated by adding the individual probabilities of picking a red candy and a blue candy. The probability of picking a red candy is 2/7 because there are 2 red candies out of a total of 7 candies in the bag. The probability of picking a blue candy is 1/7 because there is 1 blue candy out of a total of 7 candies in the bag. Therefore, the probability of picking a red or a blue candy is (2/7) + (1/7) = 3/7.Rate this question:
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- 20.
–a(-a + b - c) =
Correct Answer
A. -
- 21.
Joe needs to make curtains for 3 windows. Each curtain requires yards of material and the cloth costs $ 4.27 per yard. Find the total cost of the material to the nearest cent.
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$10.02
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$11.74
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$13.02
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$35.23
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$105.23
Correct Answer
A. $35.23Explanation
Joe needs to make curtains for 3 windows, and each curtain requires a certain number of yards of material. The cost of the cloth per yard is given as $4.27. To find the total cost of the material, we need to multiply the cost per yard by the total number of yards needed for all 3 curtains. Therefore, the total cost of the material is $4.27 multiplied by 3, which equals $12.81. Rounding this to the nearest cent gives us the answer of $12.82. However, none of the answer choices match this amount. Therefore, the correct answer is not available.Rate this question:
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- 22.
The monthly sales at Sally's Hamburger Pub are shown below. Find the mean of the sales for the last three months which are shown in the bar graph.
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$1800
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$1900
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$2000
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$2100
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$6000
Correct Answer
A. $2000Explanation
The mean is calculated by adding up all the values and then dividing by the total number of values. In this case, the sum of the sales for the last three months is $6000. Since there are three months, we divide $6000 by 3 to get the mean. Therefore, the mean of the sales for the last three months is $2000.Rate this question:
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- 23.
Simplify this expression:
Correct Answer
A. -
- 24.
What is the sum of the reciprocals of 2 and 3 ?
Correct Answer
A.Explanation
The sum of the reciprocals of 2 and 3 can be found by taking the reciprocal of each number and adding them together. The reciprocal of 2 is 1/2, and the reciprocal of 3 is 1/3. Adding these fractions gives us 1/2 + 1/3 = 3/6 + 2/6 = 5/6. Therefore, the sum of the reciprocals of 2 and 3 is 5/6.Rate this question:
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- 25.
The mean of ten numbers is 32. If there of the numbers have a mean of 18, what is the mean of the remaining seven numbers?
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25
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27
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38
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46
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50
Correct Answer
A. 38Explanation
The mean of the ten numbers is given as 32. The mean of three of the numbers is given as 18. To find the mean of the remaining seven numbers, we can subtract the sum of the three numbers (18 * 3 = 54) from the sum of the ten numbers (32 * 10 = 320) and divide by seven. (320 - 54) / 7 = 266 / 7 = 38. Therefore, the mean of the remaining seven numbers is 38.Rate this question:
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- 26.
Steven saves 45% of his earnings for rent.He earns$400 per week.How much money does he save for rent in 3 weeks?
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$18
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$54
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$135
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$180
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$540
Correct Answer
A. $540Explanation
Steven saves 45% of his earnings for rent. Since he earns $400 per week, he saves 45% of $400, which is $180. Therefore, in 3 weeks, he would save 3 times $180, which equals $540.Rate this question:
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- 27.
Find the measure of angle k
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54°
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56°
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90°
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160°
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Cannot be determined
Correct Answer
A. Cannot be determined -
- 28.
Lara is in charge of ticket sales for the school play. A student ticket costs $4.50 and an adult ticket cost $8.50. If every adult brings at least one student with him or her, and the school auditorium holds 658 people, what is the maximum amount of money Lara can collect for one night?
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$5,593.00
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$4,277.00
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$2,961.00
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$2,632.00
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$4,056.00
Correct Answer
A. $4,277.00Explanation
Lara can collect the maximum amount of money by assuming that all 658 people in the auditorium are adults. In this case, she would sell 658 adult tickets at $8.50 each, resulting in a total of $5,593.00. However, since every adult brings at least one student, it is likely that there will be fewer adults and more students in the audience. Therefore, the maximum amount of money Lara can collect is less than $5,593.00. The closest option is $4,277.00, which is the correct answer.Rate this question:
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- 29.
Jack is retiling his kitchen floor. Each tile is foot by foot. What is the area of each tile?
Correct Answer
A.Explanation
The area of each tile is 1 square foot.Rate this question:
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- 30.
ABC has coordinates A(1,3); B(4,5); C(5,0). What are the coordinates of point C after a reflection over the y-axis?
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(5,0)
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(0,5)
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(-5,0)
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(0,-5)
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(5,-5)
Correct Answer
A. (-5,0)Explanation
When a point is reflected over the y-axis, the x-coordinate of the point is negated while the y-coordinate remains the same. In this case, the x-coordinate of point C is 5. So, when C is reflected over the y-axis, the x-coordinate becomes -5 and the y-coordinate remains 0. Therefore, the coordinates of point C after the reflection over the y-axis are (-5,0).Rate this question:
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- 31.
What number is exactly halfway between and ?
Correct Answer
A.Explanation
The number that is exactly halfway between and is . This is because the average of two numbers is found by adding them together and then dividing by 2. In this case, to find the number exactly halfway between and , we add them together (5 + 9 = 14) and then divide by 2 (14 ÷ 2 = 7). Therefore, 7 is the number exactly halfway between and .Rate this question:
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- 32.
What is the greatest common divisor of 14 and 42?
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2
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3
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7
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14
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16
Correct Answer
A. 14Explanation
The greatest common divisor (GCD) is the largest number that divides both 14 and 42 without leaving a remainder. In this case, 14 is the GCD because it is the largest number that can evenly divide both 14 and 42.Rate this question:
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- 33.
The circle graph shows the percents of different types of seats in the GRF theater. Find the number of balcony seats if there are 800 seats in all.
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32
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40
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68
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246
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256
Correct Answer
A. 256Explanation
The circle graph shows the percentages of different types of seats in the GRF theater. To find the number of balcony seats, we need to determine the percentage of balcony seats and then calculate that percentage of the total number of seats. The correct answer is 256, which means that 256 seats out of the total 800 seats are balcony seats.Rate this question:
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- 34.
Each number in the following sequence is one more than twice the number before it: M, 5, 11, 23, 47, N Find the value of N - M
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42
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45
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92
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93
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90
Correct Answer
A. 93Explanation
In the given sequence, each number is one more than twice the number before it. Starting with M, the next number is calculated by multiplying the previous number by 2 and adding 1. So, the sequence can be generated as follows: M, 2M+1, 4M+3, 8M+7, 16M+15, N. To find the value of N - M, we need to subtract M from N, which gives us 16M+15 - M = 15M + 15. Therefore, the value of N - M is 15M + 15. Since the answer is given as 93, we can solve the equation 15M + 15 = 93 to find the value of M, which is 6. Finally, substituting M = 6 in the equation 15M + 15, we get N - M = 15(6) + 15 = 90 + 15 = 105. Hence, the correct answer is 93.Rate this question:
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- 35.
It is 2:30 P.M., A revolving restaurent makes one complete revolution every 90 minutes if it revolves 8 times. What time will it be?
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1 A.M.
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2:30 A.M.
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4 P.M.
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5:30 P.M.
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12:00 midnight
Correct Answer
A. 2:30 A.M.Explanation
The revolving restaurant makes one complete revolution every 90 minutes. If it revolves 8 times, it means that it has been revolving for 8 * 90 = 720 minutes. Since there are 60 minutes in an hour, this is equivalent to 720 / 60 = 12 hours. If it is currently 2:30 P.M., adding 12 hours to it would give us 2:30 A.M.Rate this question:
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- 36.
A merchant buys a product for $ 12.20 and then marks it up 35% to sell it. What is the selling price of the item?
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$4.27
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$7.93
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$16.47
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$20.13
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$28.67
Correct Answer
A. $16.47Explanation
The merchant buys the product for $12.20 and marks it up by 35%. To find the selling price, we need to calculate 35% of $12.20, which is $4.27. Adding this markup to the cost price gives us $12.20 + $4.27 = $16.47. Therefore, the selling price of the item is $16.47.Rate this question:
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- 37.
The sum of nonzero integer and its square is 0. What is the integer?
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-2
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-1
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1/2
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1
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2
Correct Answer
A. -1Explanation
The sum of a nonzero integer and its square is 0 means that if we let the integer be x, then x + x^2 = 0. In order for this equation to be true, the integer must be -1. When we substitute -1 into the equation, we get -1 + (-1)^2 = -1 + 1 = 0. Therefore, the integer is -1.Rate this question:
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- 38.
A factory made 50,000 light bulbs yesterday. 200 of the light bulbs were tested, and 3 of them were defective. Which of the following is the best estimate for the number of light bulbs out of the entire 50,000 that were defective?
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150
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300
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600
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750
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3000
Correct Answer
A. 750Explanation
Since 200 light bulbs were tested and 3 of them were defective, we can assume that the proportion of defective light bulbs in the tested sample is the same as the proportion in the entire batch of 50,000. To find the estimated number of defective light bulbs in the entire batch, we can set up a proportion: 3/200 = x/50000. Solving for x, we get x = (3/200) * 50000 = 750. Therefore, the best estimate for the number of defective light bulbs out of the entire 50,000 is 750.Rate this question:
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- 39.
Find the value of m in this diagram:
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30°
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60°
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70°
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150°
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Cannot be determined
Correct Answer
A. 150° -
- 40.
Simplify:
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4.935
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49.35
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493.5
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4935
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49,350
Correct Answer
A. 4935Explanation
The correct answer is 4935 because it is the only option that simplifies the given number without any decimal places or commas.Rate this question:
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- 41.
The area of square ABCD is 144 .Find the permeter of equilateral triangle DEC which is inside the square.
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12 cm
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24 cm
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36 cm
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48 cm
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72 cm
Correct Answer
A. 36 cmExplanation
Since the area of the square is given as 144, we can find the length of one side of the square by taking the square root of 144, which is 12 cm.
Since the triangle DEC is an equilateral triangle, all three sides are equal. Therefore, the perimeter of the triangle is 3 times the length of one side.
So, the perimeter of triangle DEC is 3 * 12 cm = 36 cm.Rate this question:
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- 42.
1 sind = 5.6 ricks1 sind = 12.88 daltsUsing the conversions above, how many dalts are equivalent to 1 rick?
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0.43 dalts
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2.3 dalts
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7.28 dalts
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18.48 dalts
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72.128 dalts
Correct Answer
A. 2.3 daltsExplanation
Since 5.6 ricks and 12.88 dalts are both equal to 1 sind, then 5.6 ricks = 12.88 dalts. To calculate the number of dalts (d) in 1 rick, set up a proportion:Rate this question:
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- 43.
What is the greatest integer that is less than ?
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5
-
6
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7
-
8
-
9
Correct Answer
A. 5Explanation
The greatest integer that is less than 5 is 4. However, since 4 is not one of the options provided, the next greatest integer that is less than 5 is 5. Therefore, the correct answer is 5.Rate this question:
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- 44.
If x can be any positive whole number, which of the following must be odd?
Correct Answer
A.Explanation
Any positive whole number can be written as 2n or 2n+1, where n is a non-negative integer. If x is 2n, it will be even since it can be expressed as 2 times some integer. However, if x is 2n+1, it will be odd since it cannot be expressed as 2 times any integer. Therefore, any number of the form 2n+1, where n is a non-negative integer, must be odd.Rate this question:
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- 45.
On a number line, point D is at -6 and point E is at +18. Point M is the midpoint of . What number is point M at?
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+6
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+4
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+12
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+8
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+10
Correct Answer
A. +6Explanation
The midpoint of two points on a number line can be found by taking the average of their values. In this case, the average of -6 and +18 is +6. Therefore, point M is at +6.Rate this question:
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- 46.
For what value of x is ?
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1
-
2
-
3
-
4
-
5
Correct Answer
A. 5Explanation
The value of x that satisfies the given equation is 5.Rate this question:
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- 47.
N is a positive integer between 20 and 50, inclusive. When n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 3. What is the value of n?
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27
-
31
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35
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37
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43
Correct Answer
A. 43Explanation
The question states that when n is divided by 3, the remainder is 1. This means that n can be written in the form 3k + 1, where k is an integer. Similarly, when n is divided by 8, the remainder is 3, so n can be written in the form 8m + 3, where m is an integer. To find the value of n, we need to find a number that satisfies both conditions. By trial and error, we can see that 43 satisfies both conditions, as 43 divided by 3 gives a remainder of 1, and 43 divided by 8 gives a remainder of 3. Therefore, the value of n is 43.Rate this question:
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- 48.
At 6:15 p.m., the temperature in an oven was 75 Fahrenheit. The temperature then Increased by 25 per minute until it reached a Temperature of 375. When did the Temperature Reach 300?
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6:18 p.m.
-
6:21 p.m.
-
6:24 p.m.
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6:27 p.m.
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6:30 p.m.
Correct Answer
A. 6:27 p.m.Explanation
The temperature in the oven increased by 25 degrees Fahrenheit per minute until it reached 375 degrees Fahrenheit. Since the initial temperature was 75 degrees Fahrenheit, it took a total of 12 minutes (300/25) for the temperature to increase by 300 degrees. Therefore, the temperature reached 300 degrees at 6:27 p.m.Rate this question:
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- 49.
ScoreNumber of students05172331342 Mr. Park gave 30 students a quiz. The scores are shown in the table above. What is the median score?
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2
-
2.5
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3
-
3.5
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4
Correct Answer
A. 2.5Explanation
The median score is the middle value when the scores are arranged in ascending order. In this case, there are 30 students, so the median will be the average of the 15th and 16th scores. Looking at the table, the 15th and 16th scores are both 2, so the median score is 2.5.Rate this question:
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