# SBAC 5th Grade Math Practice Test

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

Explanation:

Find the area of the room which is a square. Use area of square formula.

๐ = ๐2 โ ๐ = 18 feet ร 18 feet = 324 square feet

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

Explanation:

The question is that number 56,743.21 is how many times of number 5.674321.

The answer is 10,000.

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

Explanation:

Use area of rectangle formula.

Area = length ร width โ ๐ด = 30ร45 โ ๐ด = 1,350

#### In a rectangle with a height of 54 and a width of 12, how many 3ร3 squares can fit?

Explanation:

Use area of rectangle formula.

๐ด = ๐ร๐ โ ๐ด = 54ร12 โ ๐ด =648

Divide the area by 9 (3ร3=9 squares) to find the number of squares needed. 648รท9=72

#### 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?

Explanation:

Angela drives 68 miles in one hour. Therefore, she drives 2600 miles in about (2600รท68)38 hours.

4- C

12 yards =12ร36=432 inches

4 feet =4ร12=48 inches

12 yards 4 feet and 2 inches =432 inches +48 inches +2 inches=482 inches

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

Explanation:

3 workers can walk 9 dogs โ 1 workers can walk 3 dogs.

5 workers can walk (5ร3)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?

Explanation:

Use percent formula:

๐๐๐๐ก = ๐๐๐๐๐๐๐ก/100 ร ๐คโ๐๐๐

600 = ๐๐๐๐๐๐๐ก/100 ร 2400 โ 600 = ๐๐๐๐๐๐๐ก ร 24 โ ๐๐๐๐๐๐๐ก = 25

#### 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?

Explanation:

Alice eats 2 pancakes in 1 minute โ Alice eats 2ร5 pancakes in 5 minutes.

Amy eats 212 pancakes in 1 minute โ Amy eats 2.5 ร5 pancakes in 5 minutes.

In total Lily and Ella eat 10+12.5pancakes in 5 minutes.

#### 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?

Explanation:

Samantha teaches 36 hours for three identical courses. Therefore, she teaches 12 hours for each course.
Samantha earns $25 per hour. Therefore, she earned $300 (12ร25) for each course

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

Explanation:

RC Corporationโs income = 2/3 managementโs predicted income.

$200,000=2/3 managementโs predicted income

managementโs predicted income =$200,000ร3/2=$300,000

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

Explanation:

12 yards =12ร36=432 inches

4 feet =4ร12=48 inches

12 yards 4 feet and 2 inches =432 inches +48 inches +2 inches=482 inches

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

Explanation:

1 hour: $4.75

8 hours: 8ร$4.75= $38

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

Explanation:

The number of female students in the class is (60โ22)38 out of 60=38/60

Change the fraction to percent:

38/60 3 ร 100% = 63%

#### Which of the following expressions has a value of โ8?

Explanation:

Simplify each option provided using order of operations rules.

8โ(โ2)+(โ18)=8+2โ18=โ8

2+(โ3)ร(โ2)=2+6=8

โ6ร(โ6)+(โ2)ร(โ12)=36+24=60

(โ2)ร(โ7)+4=14+4= 18

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

Explanation:

19+(16ร26)=19+416= 435

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

Explanation:

1 pizza has 8 slices.

18 pizzas contain (18ร8)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?

Explanation:

Write a proportion and solve.

6 ๐ ๐๐๐ก ๐๐๐๐๐๐ /9 ๐๐ข๐๐ ๐ก๐ = ๐ฅ/171 ๐๐ข๐๐ ๐ก๐

๐ฅ = 171ร6/9 โ ๐ฅ = 114

#### 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?

Explanation:

Use area of rectangle formula.

๐ด๐๐๐ = ๐๐๐๐๐กโ ร ๐ค๐๐๐กโ โ ๐ด = 3/4 ร 5/6 โ ๐ด = 5/8 ๐๐๐โ๐๐

#### A circle has an 8-inch diameter. What is the approximate circumference of this object?

(ฯ=3.14)

Explanation:

The diameter of the circle is 8 inches. Therefore, the radius of the circle is 4 inches.

Use circumference of circle formula.

๐ถ=2ฯ๐โ๐ถ=2ร3.14ร4โ๐ถ=25.12

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

Explanation:

The number of guests that are not present are (220โ190)30 out of 220=30/220

Change the fraction to percent:

30/220 ร 100% = 13.64%

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

Explanation:

Divide the number flowers by 12 : 516 รท 12 = 43

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

Explanation:

Every 90 minutes Dianne checks her email.

In 9 hours (540 minutes), Dianne checks her email (540รท90)6 times

#### On a coordinate plane, what are the coordinates of the intersection of the xโaxis and the yโaxis?

Explanation:

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis.

The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

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

Explanation:

50 miles : 1 hour

425 miles : 425รท50= 8.5 hours

#### 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)

Explanation:

1 meter of the rope = 800 grams 12.2 meter of the rope = 12.2ร800=9,760grams = 9.76 kilograms