SCAT Math - 1

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.

The product of 8, 2, 6, and 2 is equal to the product of 16 and 12.

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.

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.

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

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.

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.

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.

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

The shaded section in Figure 1 represents a specific fruit, and the correct answer is grapes.

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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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.

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

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.

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.

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.

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

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.

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.

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.

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.

The correct answer is 0.65 because it is equal to 65/100.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.