SBAC 5th Grade Math Flashcards

For a room measuring 18 feet by 18 feet, how many square feet of tile is required?

Answer: 324 Square Feet

To determine the amount of tile required for a room, you need to calculate its area. For a square room measuring 18 feet by 18 feet, the area is found by multiplying the length by the width. Therefore, 18 feet * 18 feet = 324 square feet of tile is required.

5.674321 must be multiplied by what number in order to get the number 56,743.21.

Answer: 10000

To transform 5.674321 into 56,743.21, the decimal point needs to be moved four places to the right. Each time the decimal point is moved one place to the right, the number is multiplied by 10. Therefore, moving it four places to the right means multiplying by 10 raised to the power of 4, which is 10,000.

What is the area of a rectangle that is 30 feet by 45 feet?

Answer: 1350

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle that is 30 feet by 45 feet, the area is 30 feet * 45 feet. Performing this multiplication, 30 * 45, gives an area of 1350 square feet.

In a rectangle with a height of 54 and a width of 12, how many 3×3 squares can fit?

Answer: 72

To find how many smaller squares fit into a larger rectangle, you can divide the total area of the rectangle by the area of one small square. The area of the rectangle is 54 * 12 = 648 square units. The area of one 3x3 square is 3 * 3 = 9 square units. Dividing the rectangle's area by the square's area, 648 / 9, gives 72 squares. Alternatively, you can divide the dimensions: 54/3 = 18 squares along the height, and 12/3 = 4 squares along the width, so 18 * 4 = 72 squares.

Between cities A and B, there is a distance of around 2,600 miles. How long will it take Angela to go from city A to city B if she drives at a speed of 68 miles per hour?

Answer: Approximately 38 Hours

To calculate the time it takes to travel a certain distance at a given speed, use the formula Time = Distance / Speed. The distance between cities A and B is 2,600 miles, and Angela drives at a speed of 68 miles per hour. Dividing 2,600 by 68 gives approximately 38.235 hours. Rounded to the nearest whole number, it will take approximately 38 hours.

Alice owns and operates a dog walking service. How many dogs can 5 workers walk if 3 workers can walk 9 dogs?

Answer: 15

This is a proportionality problem. If 3 workers can walk 9 dogs, then each worker can walk 9 dogs / 3 workers = 3 dogs. To find out how many dogs 5 workers can walk, multiply the number of workers by the rate per worker: 5 workers * 3 dogs/worker = 15 dogs.

600 comedies are among the 2,400 titles available for rent at one video retailer. How many comedies are there among the videos?

Answer: 25%

To find the percentage of comedies among the videos, divide the number of comedies by the total number of titles and multiply by 100%. There are 600 comedies out of 2,400 titles. So, (600 / 2400) * 100% = (1/4) * 100% = 25%. Thus, 25% of the videos are comedies.

Alice and Amy are competing in a pancake eating contest. Amy can eat 2.5 pancakes each minute, whereas Alice can eat two per minute. In 5 minutes, how many pancakes can they eat?

Answer: 22.5 Pancakes

First, calculate their combined pancake eating rate. Amy eats 2.5 pancakes per minute, and Alice eats 2 pancakes per minute. Their combined rate is 2.5 + 2 = 4.5 pancakes per minute. Over 5 minutes, they can eat a total of 4.5 pancakes/minute * 5 minutes = 22.5 pancakes.

Samantha was hired to teach three identical fifth-grade math classes, which required her to be in the classroom for a total of 36 hours. How much did Samantha make teaching one course at $25 per class hour?

Answer: $300

Samantha taught three identical classes for a total of 36 hours, meaning each class was 36 hours / 3 classes = 12 hours long. She earned $25 per class hour. To find her earnings for one course, multiply the hours per class by her hourly rate: 12 hours * $25/hour = $300.

The previous year, RC Corporation only made $200,000, which was just two–thirds of the management's expected earnings. What was the expected profit for the company?

Answer: $300,000

The company's actual earnings of $200,000 represented two-thirds (2/3) of their expected earnings. To find the expected profit, you can set up the equation (2/3) * Expected Profit = $200,000. To solve for the Expected Profit, multiply $200,000 by the reciprocal of 2/3, which is 3/2. So, $200,000 * (3/2) = $300,000.

How many inches does 12 yards, 4 feet, 2 inches equal?

Answer: 482

To convert 12 yards, 4 feet, 2 inches into inches, convert each unit separately and then sum them. First, convert yards to feet (1 yard = 3 feet): 12 yards * 3 feet/yard = 36 feet. Add the existing 4 feet: 36 + 4 = 40 feet. Next, convert feet to inches (1 foot = 12 inches): 40 feet * 12 inches/foot = 480 inches. Finally, add the remaining 2 inches: 480 + 2 = 482 inches.

Jacksons's hourly wage at work is $4.75. How much money will he make if he works for 8 hours?

Answer: $38.00

To calculate Jackson's total earnings, multiply his hourly wage by the number of hours he worked. His hourly wage is $4.75, and he worked for 8 hours. Therefore, $4.75 * 8 hours = $38.00.

There are 22 male students in a class of 60. What percentage of the class is women?

Answer: 63%

To find the percentage of women, first subtract the number of male students (22) from the total number of students (60) to get 38 women. Then, divide the number of women (38) by the total number of students (60) and multiply by 100 to express it as a percentage. This calculation results in approximately 63.33%, which rounds to 63%.

Which of the following expressions has a value of –8?

Answer: 8–(–2)+(–18)

We need to evaluate each expression following the order of operations (PEMDAS/BODMAS). For option B, 8 – (–2) + (–18), subtracting a negative number is equivalent to adding a positive number, so 8 + 2. Then, adding a negative number is equivalent to subtracting, making it 10 – 18. This calculation yields –8, matching the target value.

Daniel multiplied 16 and 26 plus 19. What is the amount in question?

Answer: 435

The phrase 'multiplied 16 and 26 plus 19' implies performing the multiplication first, then the addition, according to the order of operations. First, multiply 16 by 26, which equals 416. Then, add 19 to this product. So, 416 + 19 results in 435.

Nathalie placed an order for 18 pizzas. There are 8 slices on each pizza. How many pizza slices did Nathalie order?

Answer: 144

To find the total number of pizza slices, you multiply the number of pizzas by the number of slices per pizza. Nathalie ordered 18 pizzas, and each pizza has 8 slices. Therefore, 18 multiplied by 8 equals 144 slices.

6 soft drinks are required for every 9 visitors at a gathering. How many soft drinks are needed if there are 171 guests?

Answer: 114

The ratio of soft drinks to visitors is 6:9, which simplifies to 2:3. To find out how many soft drinks are needed for 171 guests, set up a proportion: 2/3 = x/171. Solving for x, you multiply 171 by (2/3), which means (171 divided by 3) multiplied by 2. This calculation gives 57 * 2, resulting in 114 soft drinks.

The length and width of a rectangle are 3/4 inches and 5/6 inches, respectively. What is the measurement of that rectangle's area?

Answer: 5/8

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 3/4 inches and the width is 5/6 inches. Multiplying these fractions gives (3 * 5) / (4 * 6) = 15/24. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3, resulting in 5/8 square inches.

A circle has an 8-inch diameter. What is the approximate circumference of this object? (π=3.14)

Answer: 25.12 in.

The circumference of a circle is calculated using the formula C = πd, where 'd' is the diameter. Given a diameter of 8 inches and π ≈ 3.14, you multiply 3.14 by 8. This calculation yields 25.12 inches, which is the approximate circumference.

For their wedding, the bride and groom invited 220 people. There were 190 people there. How many people were not on the guest list?

Answer: 13.64%

To find the percentage of people who were not on the guest list (meaning, did not attend from the invited), first calculate the number of people who did not attend: 220 invited - 190 attended = 30 people. Then, divide this number by the total invited guests and multiply by 100 to get the percentage. So, (30 / 220) * 100% equals approximately 13.636%, which rounds to 13.64%.