# FSA Practice Test (6th Grade: Math)

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#### The perimeter of the following shape is? (It's in the shape of a right triangle)

Correct! Wrong!

Use Pythagorean theorem to find the hypotenuse of the triangle.
๐2+๐2=๐2โ62+82=๐2โ36+64=๐2โ100=๐2โ๐=10
The perimeter of the triangle is: 6+8+10=24

#### Watermelons are currently on sale for \$1.25 for two. What is the cost per unit?

Correct! Wrong!

Set up the proportion of 2/125 = 1/x
Dividing both numerator and denominator by 2, we get 1/62.5 = 1/x. Therefore x = 62.5
1 watermelon equals 62.5ยข

#### Anthony has three blue and eight red balls. What is the ratio of blue to red balls?

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The ratio of blue balls to red balls is 3:8.

#### What is the equivalent expression to 4(6x + 11)?

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4(6x + 11) is equivalent to 24x + 44

#### Ralph received a quotient of 26 with a remainder of 13 when he divided 403 by a number. What was the number Ralph divided by?

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403 รท 15 = 26 remainder of 13

#### There are 55 blue and 143 red balls. We want to put these balls in certain boxes so that there are the same amount of red balls in each box andย there are same number ofย blue balls in each box. How many boxes will we require?

Correct! Wrong!

First, we need to find the GCF (Greatest Common Factor) of 143 and 55.
143=11ร13
55=5ร11โ GFC=11
Therefore, we need 11 boxes.

#### Which is the better deal: 5 for \$1.00, 4 for 85ยข, 2 for 25ยข, or 6 for \$1.10?

Correct! Wrong!

1/5 = a unit price of \$0.20 per piece
0.85/4 = a unit price of \$0.2125 per piece
0.25/2 = a unit price of \$0.125 per piece. This is the best price per unit.
1.10/6 = a unit price of \$0.183 per piece.

#### Which of the following statements best describes unit rate?

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Correct answer: Dave is driving 30 miles per 1 hour.

The 4th choice describes the unit rate.

Correct! Wrong!

2(2) + 5 = 9

#### Which of the following expressions is equivalent to the one below? 7h + 1

Correct! Wrong!

Correct answer: (5 + 2)h + 1

7h + 1 is equivalent to (5 + 2)h + 1

#### What is the value of the expression below? 2,205รท315

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2205รท315=2205/315=441/63=147/21=7

#### A box of three bracelets costs \$2.22. What is the price per unit?

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Divide 2.22/3 = \$0.74

#### What is the value of the expression below? 4/5 รท 8/7

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4/5 รท 8/7 = 7/10

#### The temperature in Cleveland is -10 degrees Fahrenheit. In Kansas City, it is cooler than in Cleveland. Select the value that could be used to represent Kansas City's temperature.

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-12 represents the temperature of Kansas City.

#### Two portions of fruits are served with each meal in a school cafeteria. In the school cafeteria, what is the ratio of meals served to fruit portions?

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1 : 2 is the ratio of meals served to portions of fruits served

#### Solve the equation below. 112=22+๐ฅ

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112=22+๐ฅ
Subtract 22 from both sides of the equation. Then:
๐ฅ=112โ22=90

#### In 23 meters, how many millimeters are there?

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1 meter/1000 millimeters = 23 meters/x millimeters
1/1000 = 23/x
x = 23,000 mm

Correct! Wrong!

5 + 9 = 14

Correct! Wrong!

1608 รท 268 = 6

#### In a park, all of the trash cans are red or blue. The park has a 3:4 ratio of red to blue trash cans. Which of the following statements is true based on this information?

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Correct answer: For every 3 red trash cans in the park, there are 4 blue trash cans.

3 : 4 ratio of red trash cans to blue trash cans means every 3 red trash cans in the park, there are 4 blue trash cans.

#### At aย given period, truck A travels 221.5 kilometers, while truck B travels 1.2 times the distance traveled by truck A at the same time. During that time, how far does truck B travel?

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Distance that truck B travels =1.2ร distance that truck A travels
=1.2ร221.5=265.8 km

#### In a tablespoon, how many teaspoons are there?

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A tablespoon is equal to three teaspoons.

#### Randolf's scooter can travel 128 miles on a single tank of gas. How far can Randolf go on one gallon of gas if the scooter has a 4-gallon gas tank?

Correct! Wrong!

Correct answer: 32 miles per gallon

Find the unit rate for one gallon of gas.
128/4 = x/1
128*1=4*x
128 = 4x
Divide both sides by 4
x = 32 miles per gallon

#### Kevin is shipping a rectangular prism-shaped cardboard box. Kevin's box net is shown. In square inches, what is the area of cardboard requiredย for Kevin's box?

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The area of cardboard required for Kevin's box is 248.

Correct! Wrong!

1 meter = 100 cm
1.8 x 100 = 180

#### The trapezoid below has a perimeter of 38. What is the size of the area?

Correct! Wrong!

The perimeter of the trapezoid is 38.
Therefore, the missing side (height) is =38โ8โ10โ11=9
Area of the trapezoid: ๐ด=12โ(๐1+๐2)=121(9)(8+10)=81

#### In a gallon, how many pints are there?

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1 gallon = 4 quarts
4 quarts = 8 pints

#### What is the value of the given expression? 2312.2 + 3.4

Correct! Wrong!

2312.2 + 3.4 = 2315.6

Correct! Wrong!

(5)ยณ = 125

Correct! Wrong!