SBAC 5th Grade Math Practice Test — Questions and Answers

Question 1: For a room measuring 18 feet by 18 feet, how many square feet of tile is required?

80 Square Feet
324 Square Feet (Correct answer)
200 Square Feet
120 Square Feet

Correct 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.

Question 2: 5.674321 must be multiplied by what number in order to get the number 56,743.21.

10
10000 (Correct answer)
1000
100000

Correct 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.

Question 3: What is the area of a rectangle that is 30 feet by 45 feet?

1150
1350 (Correct answer)
960
800

Correct 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.

Question 4: In a rectangle with a height of 54 and a width of 12, how many 3×3 squares can fit?

52
72 (Correct answer)
40
82

Correct 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.

Question 5: 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?

Approximately 38 Hours (Correct answer)
Approximately 45 Hours
Approximately 25 Hours
Approximately 30 Hours

Correct 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.

Question 6: Alice owns and operates a dog walking service. How many dogs can 5 workers walk if 3 workers can walk 9 dogs?

15 (Correct answer)
10
12
13

Correct 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.

Question 7: 600 comedies are among the 2,400 titles available for rent at one video retailer. How many comedies are there among the videos?

10%
30%
25% (Correct answer)
30%

Correct 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.

Question 8: 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?

9 Pancakes
20 Pancakes
15 Pancakes
22.5 Pancakes (Correct answer)

Correct 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.

Question 9: 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?

$300 (Correct answer)
$1000
$500
$200

Correct 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.

Question 10: 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?

$300,000 (Correct answer)
$200,000
$250,000
$350,000

Correct 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.

Question 11: How many inches does 12 yards, 4 feet, 2 inches equal?

90
482 (Correct answer)
500
550

Correct 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.

Question 12: Jacksons's hourly wage at work is $4.75. How much money will he make if he works for 8 hours?

$35.00
$38.00 (Correct answer)
$30.00
$40.00

Correct 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.

Question 13: There are 22 male students in a class of 60. What percentage of the class is women?

63% (Correct answer)
50%
70%
65%

Correct 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%.

Question 14: Which of the following expressions has a value of –8?

2+(–3)×(–2)
8–(–2)+(–18) (Correct answer)
(–2)×(–7)+4
–6×(–6)+(–2)×(–12)

Correct 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.

Question 15: Daniel multiplied 16 and 26 plus 19. What is the amount in question?

435 (Correct answer)
60
140
300

Correct 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.

Question 16: Nathalie placed an order for 18 pizzas. There are 8 slices on each pizza. How many pizza slices did Nathalie order?

130
150
144 (Correct answer)
190

Correct 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.

Question 17: 6 soft drinks are required for every 9 visitors at a gathering. How many soft drinks are needed if there are 171 guests?

114 (Correct answer)
10
30
175

Correct 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.

Question 18: 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?

5/8 (Correct answer)
1/4
10/24
5/20

Correct 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.

Question 19: A circle has an 8-inch diameter. What is the approximate circumference of this object? <br> (π=3.14)

25.12 in. (Correct answer)
6.50 in.
35 in
30.5 in.

Correct 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.

Question 20: For their wedding, the bride and groom invited 220 people. There were 190 people there. How many people were not on the guest list?

13.64% (Correct answer)
80%
15%
25%

Correct 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%.

Question 21: 516 flowers are in a florist's shop. How many 12 flower bouquets can he make?

35
43 (Correct answer)
40
50

Correct answer: 43

To determine how many bouquets can be made, divide the total number of flowers by the number of flowers per bouquet. The florist has 516 flowers and uses 12 flowers for each bouquet. Therefore, 516 divided by 12 equals 43 bouquets.

Question 22: Dianne checks her email once every 90 minutes at work. How many times does she check her email in a 9-hour period?

8 Times
3 Times
9 Times
6 Times (Correct answer)

Correct answer: 6 Times

First, convert the 9-hour period into minutes: 9 hours * 60 minutes/hour = 540 minutes. Dianne checks her email every 90 minutes. To find out how many times she checks her email, divide the total minutes by the interval between checks. So, 540 minutes / 90 minutes/check equals 6 times.

Question 23: On a coordinate plane, what are the coordinates of the intersection of the x–axis and the y–axis?

(1,1)
(5,5)
(0,11)
(0,0) (Correct answer)

Correct answer: (0,0)

On a coordinate plane, the x-axis and the y-axis are perpendicular lines that intersect at a single point. This point is known as the origin. The coordinates of the origin are always (0,0), representing the starting point for all measurements.

Question 24: How long does it take to travel 425 miles at 50 miles per hour (mph)?

8 hours and 30 minutes (Correct answer)
4 hours
6 hours and 24 minutes
8 hours and 24 minutes

Correct answer: 8 hours and 30 minutes

To calculate the time taken, use the formula Time = Distance / Speed. The distance is 425 miles and the speed is 50 miles per hour. Dividing 425 by 50 gives 8.5 hours. To convert the 0.5 hours into minutes, multiply 0.5 by 60 minutes/hour, which equals 30 minutes. Therefore, the total travel time is 8 hours and 30 minutes.

Question 25: The weight of a rope per meter is 800 grams. What is the weight of 12.2 meters of rope in kilograms? (1000 grams Equals 1 kilogram)

0.976
0.0976
9760
9.76 (Correct answer)

Correct answer: 9.76

First, calculate the total weight of the rope in grams by multiplying the weight per meter (800 grams) by the length of the rope (12.2 meters), which gives 9760 grams. Then, convert grams to kilograms by dividing by 1000, since 1000 grams equals 1 kilogram. So, 9760 grams / 1000 = 9.76 kilograms.

SBAC 5th Grade Math Practice Test

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