SCAT Math - 1

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SCAT Math - 1 - Quiz


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Questions and Answers
  • 1. 

    If 8 - x = 4, and 10 + y = 12, then x - y = _____ ?

    • A.

      2

    • B.

      3

    • C.

      4

    • D.

      5

    Correct Answer
    A. 2
    Explanation
    The given equations are 8 - x = 4 and 10 + y = 12. From the first equation, we can solve for x by subtracting 8 from both sides, which gives us -x = -4. Multiplying both sides by -1, we get x = 4. From the second equation, we can solve for y by subtracting 10 from both sides, which gives us y = 2. Finally, we can substitute the values of x and y into the equation x - y to find that 4 - 2 = 2. Therefore, the answer is 2.

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  • 2. 

    Twenty students brought animals to school for pet day. Eight students brought dogs, four students brought birds, two brought cats, and the rest brought other animals. What fraction of the students brought other animals?

    • A.

       or 3/10

    • B.

       or 6/14

    • C.

       or 10/12

    • D.

       or 3/20

    Correct Answer
    A.  or 3/10
    Explanation
    Out of the twenty students, eight brought dogs, four brought birds, and two brought cats. This accounts for a total of 8 + 4 + 2 = 14 students. The remaining students, which is 20 - 14 = 6 students, brought other animals. Therefore, the fraction of students who brought other animals is 6/20, which can be simplified to 3/10.

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  • 3. 

    8 X 2 X 6 X 2 is equal to the product of 16 and 

    • A.

      4

    • B.

      8

    • C.

      12

    • D.

      16

    Correct Answer
    C. 12
    Explanation
    The product of 8, 2, 6, and 2 is equal to the product of 16 and 12.

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  • 4. 

    Jennifer and Jose each swam five laps in 15 minutes. At the same rate of speed, how long would they need in order to swim 35 laps?

    • A.

      35 minutes

    • B.

      75 minutes

    • C.

      105 minutes

    • D.

      175 minutes

    Correct Answer
    C. 105 minutes
    Explanation
    If Jennifer and Jose each swim five laps in 15 minutes, it means they swim at a rate of 1 lap per 3 minutes. To find out how long they would need to swim 35 laps, we can multiply the rate by the number of laps. 1 lap per 3 minutes multiplied by 35 laps equals 105 minutes. Therefore, it would take them 105 minutes to swim 35 laps at the same rate of speed.

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  • 5. 

    A square has a perimeter of 16. What is the length of one side?

    • A.

      2

    • B.

      4

    • C.

      6

    • D.

      8

    Correct Answer
    B. 4
    Explanation
    A square has four equal sides, so if the perimeter is 16, each side must be 16 divided by 4, which is 4.

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  • 6. 

    Which of the following is the smallest?

    • A.

      0.0005

    • B.

      0.005

    • C.

      0.05

    • D.

      0.5

    Correct Answer
    A. 0.0005
    Explanation
    The given options are all decimal numbers, and we are asked to determine the smallest one. By comparing the numbers, we can see that 0.0005 is the smallest because it has the most number of zeros after the decimal point. The more zeros there are after the decimal point, the smaller the number becomes. Therefore, 0.0005 is the smallest among the given options.

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  • 7. 

    Which of the following is equal to two-thirds?

    • A.

       or 4/12

    • B.

       or 6/12

    • C.

       or 10/15

    • D.

       or 12/15

    Correct Answer
    C.  or 10/15
    Explanation
    The fraction 10/15 is equal to two-thirds because both fractions can be simplified to the same value. By dividing both the numerator and denominator of 10/15 by 5, we get 2/3. Therefore, 10/15 is equivalent to two-thirds.

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  • 8. 

    Which fruit is included in the shaded section of Figure 1 ?

    • A.

      Apples

    • B.

      Peaches

    • C.

      Grapes

    • D.

      Bananas

    Correct Answer
    C. Grapes
    Explanation
    The shaded section in Figure 1 represents a specific fruit, and the correct answer is grapes.

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  • 9. 

    Which of the following numbers is NOT a prime factor of 90 ?

    • A.

      2

    • B.

      3

    • C.

      5

    • D.

      9

    Correct Answer
    D. 9
    Explanation
    The number 9 is not a prime factor of 90 because it is not a prime number. A prime factor is a prime number that can divide another number without leaving a remainder. In this case, 9 is not a prime number because it can be divided by 3. The prime factors of 90 are 2, 3, and 5.

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  • 10. 

    In a semester of 40 school days, Mrs. Alvarez was out sick twice. What percent of the time was she out sick ?

    • A.

      3 percent

    • B.

      4 percent

    • C.

      5 percent

    • D.

      10 percent

    Correct Answer
    C. 5 percent
    Explanation
    In order to find the percentage of the time Mrs. Alvarez was out sick, we need to divide the number of days she was out sick (2) by the total number of school days in the semester (40), and then multiply by 100. This can be represented by the equation (2/40) * 100 = 5 percent. Therefore, the correct answer is 5 percent.

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  • 11. 

    To which number is the arrow pointing in Figure 2 ?

    • A.

       or 3/8

    • B.

       or 3 3/8

    • C.

       or 3 2/4

    • D.

       or 3 5/8

    Correct Answer
    B.  or 3 3/8
  • 12. 

    In the Venn diagram in Figure 3, the shaded region shows people who drive _________ .

    • A.

      Cars and trucks

    • B.

      Trucks and motorcycles

    • C.

      Cars and motorcycles

    • D.

      Cars, trucks and motorcycles

    Correct Answer
    A. Cars and trucks
    Explanation
    The shaded region in the Venn diagram represents people who drive cars and trucks. This means that these individuals own both a car and a truck and use both vehicles for driving purposes.

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  • 13. 

    The record for the 100-yard dash was 13.71 seconds. Andrew beat te record by a tenth of a second. What was Andrew's time ?

    • A.

      13.61 seconds

    • B.

      13.72 seconds

    • C.

      13.82 seconds

    • D.

      14.71 seconds

    Correct Answer
    A. 13.61 seconds
    Explanation
    Andrew beat the record by a tenth of a second, which means he ran the 100-yard dash in 13.71 - 0.10 = 13.61 seconds.

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  • 14. 

    During a 24-hour day, Shannon's cat sleeps  (or 5/6) of the time. How many hours does the cat sleep ?

    • A.

      16 hours

    • B.

      18 hours

    • C.

      20 hours

    • D.

      22 hours

    Correct Answer
    C. 20 hours
    Explanation
    The cat sleeps for 5/6 of the 24-hour day. To find the number of hours the cat sleeps, we can multiply 5/6 by 24. Simplifying this, we get (5/6) * 24 = (5 * 24) / 6 = 120 / 6 = 20 hours. Therefore, the cat sleeps for 20 hours.

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  • 15. 

    Kurt has four boxes. He wants to use the box with the smallest volume. Which box should Kurt use ?

    • A.

      2"high X 3"wide X 4"long

    • B.

      2"high X 4"wide X 5"long

    • C.

      3"high X 4"wide X 5"long

    • D.

      4"high X 5"wide X 6"long

    Correct Answer
    A. 2"high X 3"wide X 4"long
    Explanation
    The box with the smallest volume is the one with dimensions 2" high X 3" wide X 4" long. This can be determined by calculating the volume of each box: the first box has a volume of 24 cubic inches, the second box has a volume of 40 cubic inches, the third box has a volume of 60 cubic inches, and the fourth box has a volume of 120 cubic inches. Therefore, the box with dimensions 2" high X 3" wide X 4" long has the smallest volume.

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  • 16. 

    The populations of four small towns are 11,361, 11, 924, 12,102 and 11,642. Which of the following shows the populations in order of smallest to largest ?

    • A.

      11,361, 11,642, 11,924, 12,102

    • B.

      11,361, 11,924, 11,642, 12,102

    • C.

      11,642, 11,924, 11,361, 12,102

    • D.

      12,102, 11,624, 11,924, 11,361

    Correct Answer
    A. 11,361, 11,642, 11,924, 12,102
    Explanation
    The correct answer is 11,361, 11,642, 11,924, 12,102. This is because the numbers are arranged in ascending order, from smallest to largest.

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  • 17. 

    Which of these numbers is equal to  (or 65/100) ?

    • A.

      .065

    • B.

      0.65

    • C.

      6.5

    • D.

      65

    Correct Answer
    B. 0.65
    Explanation
    The correct answer is 0.65 because it is equal to 65/100.

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  • 18. 

    Look at this series: 1, 3, 7, 15, 31, 63, .... What number comes next ?

    • A.

      64

    • B.

      126

    • C.

      127

    • D.

      133

    Correct Answer
    C. 127
    Explanation
    The given series follows a pattern of increasing each number by multiplying it by 2 and then adding 1. Starting with 1, we multiply it by 2 and add 1 to get 3. We repeat this process for each subsequent number in the series. Therefore, to find the next number, we take the last number in the series (63), multiply it by 2, and then add 1, resulting in 127.

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  • 19. 

    Christopher is nine times the age of his twin 4-year old sons. How old is Christopher ?

    • A.

      30 years old

    • B.

      32 years old

    • C.

      34 years old

    • D.

      36 years old

    Correct Answer
    D. 36 years old
    Explanation
    Christopher is nine times the age of his twin 4-year old sons. If we multiply 9 by 4, we get 36. Therefore, Christopher must be 36 years old.

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  • 20. 

    Darby was making a fruit smoothie. The ingredients included 15 percent yogurt, 40 percent ice, and 10 percent bananas. The only other thing she put in was frozen strawberries. What fractional part of the smoothie was made up of strawberries ?

    • A.

       or 7/20

    • B.

       or 55/100

    • C.

       or 13/20

    • D.

       or 65/100

    Correct Answer
    A.  or 7/20
    Explanation
    The correct answer is 7/20. This can be determined by adding up the percentages of yogurt, ice, and bananas (which total 65 percent) and subtracting that from 100 percent. The remaining percentage represents the strawberries, which is 35 percent. To express this as a fraction, 35 percent can be written as 35/100, which simplifies to 7/20.

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  • 21. 

    What place does the 5 take in 23.654 ?

    • A.

      Tenths

    • B.

      Hundredths

    • C.

      Thousandths

    • D.

      Ten-thousandths

    Correct Answer
    B. Hundredths
    Explanation
    The number 23.654 has three decimal places. The digit 5 is located in the second decimal place, which is known as hundredths.

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  • 22. 

    Mrs. Campton's classroom is 15 feet long and 22 feet wide. What is the area of her classroom ?

    • A.

      37 square feet

    • B.

      74 square feet

    • C.

      300 square feet

    • D.

      330 square feet

    Correct Answer
    D. 330 square feet
    Explanation
    The area of a rectangle is calculated by multiplying the length by the width. In this case, the length of Mrs. Campton's classroom is 15 feet and the width is 22 feet. Multiplying these two values together gives us an area of 330 square feet.

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  • 23. 

    The O'Malley's have a rectanglar pool that is 16' long and 8' wide. Their next-door neighbors want to build a congruent pool. What measurements will the neighbor's pool have ?

    • A.

      8' X 8'

    • B.

      8' X 16'

    • C.

      24' X 2'

    • D.

      16' X 16'

    Correct Answer
    B. 8' X 16'
    Explanation
    The neighbor's pool will have the measurements of 8' x 16'. This is because the O'Malley's pool is rectangular and has a length of 16' and a width of 8'. To build a congruent pool, the neighbor's pool would need to have the same dimensions, which are 16' for the length and 8' for the width.

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  • 24. 

    Casey makes a 30 percent profit for every sale she makes selling cosmetics. If she sells $300 worth of cosmetics, how much money will she make ?

    • A.

      $30

    • B.

      $90

    • C.

      $100

    • D.

      $200

    Correct Answer
    B. $90
    Explanation
    Casey makes a 30 percent profit for every sale she makes selling cosmetics. If she sells $300 worth of cosmetics, her profit would be 30% of $300, which is $90. Therefore, she will make $90.

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  • 25. 

    Which if the following does NOT equal  (or 1/4) ?

    • A.

       or 2/8

    • B.

       or 3/12

    • C.

       or 4/16

    • D.

       or 8/20

    Correct Answer
    D.  or 8/20
    Explanation
    The given answer, "or 8/20," does not equal 1/4 because when simplified, 8/20 is equal to 2/5.

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  • 26. 

    Approximately how long is the drive from point A to point B in Figure 4 ?

    • A.

      12 miles

    • B.

      14 miles

    • C.

      16 miles

    • D.

      20 miles

    Correct Answer
    C. 16 miles
    Explanation
    Based on the information provided, the drive from point A to point B in Figure 4 is approximately 16 miles.

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  • 27. 

    Cecile received $10 as an allowance. She spent $1.15 on ice cream and $3.49 on a magazine. How much does Cecile have left ?

    • A.

      $4.64

    • B.

      $5.36

    • C.

      $6.51

    • D.

      $8.85

    Correct Answer
    B. $5.36
    Explanation
    Cecile received $10 as an allowance. She spent $1.15 on ice cream and $3.49 on a magazine. To find out how much she has left, we subtract the total amount she spent from her initial allowance. Therefore, $10 - $1.15 - $3.49 = $5.36.

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  • 28. 

    The school bus can hold 50 children. Which two classes can use the school bus for their field trip ?

    • A.

      A class of 14 and a class of 32

    • B.

      A class of 15 and a class of 36

    • C.

      A class of 25 and a class of 26

    • D.

      A class of 30 and a class of 25

    Correct Answer
    A. A class of 14 and a class of 32
    Explanation
    The school bus can hold 50 children, and the total number of children from a class of 14 and a class of 32 is 46, which is less than the capacity of the bus. Therefore, these two classes can use the school bus for their field trip.

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  • 29. 

    Rover's dog food costs $19.85 for a 20-pound bag. Trixie's cat food costs $9.24 for a 10-pound bag. Which costs more?

    • A.

      One bag of dog food

    • B.

      Two bags of cat food

    • C.

      The quantities are the same

    • D.

      The answer cannot be determined from the information given.

    Correct Answer
    A. One bag of dog food
    Explanation
    One bag of dog food costs more than two bags of cat food because the price of the dog food is $19.85 for a 20-pound bag, while the price of the cat food is $9.24 for a 10-pound bag. Therefore, the cost per pound of the dog food is higher than the cost per pound of the cat food.

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  • 30. 

    In a grocery cart, there is an equal number of vegetables, fruits, and breads. How many items could be in the cart ?

    • A.

      14

    • B.

      38

    • C.

      42

    • D.

      56

    Correct Answer
    C. 42
    Explanation
    Since there is an equal number of vegetables, fruits, and breads in the grocery cart, we can assume that each category has the same number of items. Therefore, the total number of items in the cart must be divisible by 3. Out of the given options, only 42 is divisible by 3, making it the correct answer.

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  • 31. 

    Which transformation has been applied to the shape in Figure 5 ?

    • A.

      A reflection

    • B.

      A slide

    • C.

      A turn

    • D.

      A slide followed by a turn

    Correct Answer
    A. A reflection
    Explanation
    The correct answer is a reflection. This is because a reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape. In Figure 5, the shape has been flipped over a line, resulting in a mirror image of the original shape.

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  • 32. 

    Libby types 75 words per minute. How many words does she type per second ?

    • A.

      0.75

    • B.

      1.25

    • C.

      2

    • D.

      7.5

    Correct Answer
    B. 1.25
    Explanation
    Libby types 75 words per minute. To find how many words she types per second, we need to convert minutes to seconds. There are 60 seconds in a minute, so we divide 75 by 60 to get the words per second. 75/60 = 1.25. Therefore, Libby types 1.25 words per second.

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  • 33. 

    In a geography class of 24 students, each student had to select a state on which to give a three-minute report. How long did the presentation last to total ?

    • A.

      1 hour, 6 minutes

    • B.

      1 hour, 12 minutes

    • C.

      1 hour, 15 minutes

    • D.

      1 hour, 30 minutes

    Correct Answer
    B. 1 hour, 12 minutes
    Explanation
    Each student had to give a three-minute report, and there are 24 students in the class. Therefore, the total time for all the presentations would be 3 minutes multiplied by 24 students, which equals 72 minutes. However, since there are 60 minutes in an hour, we need to convert 72 minutes to hours and minutes. Dividing 72 by 60 gives us 1 hour and a remainder of 12 minutes. Therefore, the total presentation time is 1 hour, 12 minutes.

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  • 34. 

    If the shaded section of the circle in Figure 6 signifies 850 types of flowers, how many flowers could the unshaded section represent ?

    • A.

      750

    • B.

      800

    • C.

      850

    • D.

      900

    Correct Answer
    D. 900
    Explanation
    The shaded section of the circle represents 850 types of flowers. Since the circle represents all the types of flowers, the unshaded section would represent the remaining types of flowers that are not shaded. Therefore, the unshaded section could represent 900 flowers.

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  • 35. 

    Rebecca, Ian, and Clare were driving at the same speed. It took Rebecca 20 minutes to drive 15 miles. How long did it take Ian to drive 30 miles ?

    • A.

      40 minutes

    • B.

      50 minutes

    • C.

      60 minutes

    • D.

      70 minutes

    Correct Answer
    A. 40 minutes
    Explanation
    Since Rebecca and Ian were driving at the same speed, we can assume that they covered the same distance in the same amount of time. Rebecca took 20 minutes to drive 15 miles, so Ian would take the same amount of time to drive double the distance. Therefore, it would take Ian 40 minutes to drive 30 miles.

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