# FSA Practice Test (5th Grade: Math)

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

Correct answer: 72

Use area of rectangle formula.

𝐴=𝑎×𝑏⇒𝐴=54×12⇒𝐴=648

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

#### The place value of the digit 6 in 98.361 is _________.

Correct answer: Hundredths

The first digit to the right of a decimal point is the tenths place. The next digit to the right is the hundredths place. The correct answer is hundredths because the 6 is two places to the right of the decimal.

#### The dimensions of a rectangle prism-shaped box are provided below.

What is the box's volume?

Correct answer: 72 cubic meters

The volume of the box is 72 cubic meters.

#### Jen came up with the following expression.

(9 + k) x 5

What is the value of Jen's expression for k = 4?

Correct answer: 65

(9 + 4) x 5 = 65

#### What is the box's volume?

Correct answer: 192 cm³

Use volume of cube formula.

Volume = length × width× height⇒𝑉=6×4×8⇒𝑉=192 𝑐𝑚³

#### 15.045 is written in what word form?

Correct answer: Fifteen and forty-five thousandths

Decimals are read as one complete number (forty-five) followed by the place value of the digit furthest to the right (thousandths).

#### Which of the inequalities listed below is correct?

Correct answer: 0.3 > 0.298

The third choice is the right answer.

#### Glor earns a weekly allowance of $9. Which expression illustrates how much money she will save in X weeks if she spends $5 per week on lunch money and saves the rest?

Correct answer: ($9 - $5)x

The third expression can show how much money she will save.

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

Correct answer: 324 Square Feet

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

𝑆=𝑎2⇒𝑆=18 feet ×18 feet =324 square feet

#### Write this number in expanded form:

37.954

Correct answer: 30 + 7 + 0.9 + 0.05 + 0.004

When writing the expanded form of decimals, keep each digit in its place to the right of the decimal point by using place-holder zeros. Nine in the tenths place is written 0.9, five in the hundredths place is written 0.05, and four in the thousandths place is written 0.004. Do not use the word "decimal" when using expanded form.

#### Bags of cement are used to transport it. Each bag is 80 pounds in weight. To finish a task, a construction worker will need 1,250 pounds of cement.

How many bags of cement should be sent in total for the construction worker to finish the job?

Correct answer: 16

16 bags of cement should be shipped for the construction worker to complete the job.

#### [x + 5] ÷ [x - 5]

What is the value x = 10?

Correct answer: 3

[10 + 5] ÷ [10 - 5] = 3

#### PSM Corporation barely made $200,000 the previous year, which was only two–thirds of the management's predicted income. How much earning did the management predict?

Correct answer: $300,000

PSM Corporation’s income =23 management’s predicted income.

$200,000=23 management’s predicted income

management’s predicted income =$200,000×32=$300,000

#### Which formula shows that the "quotient" of 72 "divided" by 8 is 10 higher?

Correct answer: (72 ÷ 8) + 10

First, find the quotient of 72 divided by 8 (72 ÷ 8). Then determine what ten more than that would be (+ 10).

#### Which of the following quadrilateral statements is false?

Correct answer: Every trapezoid is also a rectangle.

This statement is false.

#### Rey has a total of 9 coins. Jayson, one of his friends, hands him 9 additional coins. Rey decides to divide his money between his two brothers equally. This expression shows how many coins each brother will get?

Correct answer: (9 + 9) ÷ 3

(9 + 9) ÷ 3 = 6

#### Marvin keeps a record of how long each fish he catches is. The following are the lengths in inches of the fish he caught one day: 13,14,9,11,9,10,18. What was the median fish length caught that day by Marvin?

Correct answer: 11 Inches

Write the numbers in order:

9,9,10,11,13,14,18

Median is the number in the middle. Therefore, the median is 11.

#### Which expression shows 83 minus the product of 15 and 2?

Correct answer: 83 – (15 x 2)

First, find the product of 15 and 2 (15 x 2). Then subtract this amount from 83.

#### The weights of objects are rounded to the closest tenth of a pound on a scale. What is 53.864 pounds rounded to the nearest tenth of a pound?

Correct answer: 53.9 pounds

53.864 pounds rounded to the nearest tenth of 53.9 pounds

#### What is this expression's value?

[(9 + 5) x (4 - 2)] x (5 - 1)

Correct answer: 112

[(9 + 5) x (4 - 2)] x (5 - 1) = 112

#### 4,9,13,8,15,18,5

What is the median of all of these numbers?

Correct answer: 9

Write the numbers in order:

4,5,8,9,13,15,18

Median is the number in the middle. Therefore, the median is 9.

#### For a celebration, Kring bought 10 cases of beer. There are 24 cans in each case. In addition, he bought three six-packs of juice. Which of the following expressions shows the number of cans he bought?

Correct answer: (10 x 24) + (3 x 6)

Show 10 cases of 24 as (10 x 24) and three 6-packs as (3 x 6). Add the two expressions to find the total: (10 x 24) + (3 x 6).

#### Tricia poured 3.48 liters of water into a watering can. She watered her cactus plant with 40 milliliters and her rose plant with 150 milliliters.

What's the total amount of water in the watering can now?

Correct answer: 3,290 milliliters

3.48 liters = 3480 milliliters

3480 - 40 - 150 = 3,290

#### Andy writes this on the whiteboard.

[(15 - 9) ÷ 2] x (10 - 4)

What does Andy's expression's value?

Correct answer: 18

[(15 - 9) ÷ 2] x (10 - 4) = 18

#### As shown in the photo, which set of numbers completes the function table?

Correct answer: 3, 6, 24, 36

The rule is x3, so plugging in each input number results in the following:
1 x 3 = 3, 2 x 3 = 6, 8 x 3 = 24, 12 x 3 = 36

#### The ordered pair (4, 7) represents the coordinate plane location of a point. What should be the first step in locating the point?

Correct answer: Starting at the origin, move 4 units to the right.

The first step to take in locating the point is to start at the origin, move 4 units to the right.

#### Ion creates the following expression.

[(12 + 4) x 3] ÷ (m + 6)

When m = 6, what is the value of Ion's expression?

Correct answer: 4

[(12 + 4) x 3] ÷ (6 + 6) = 4

#### As shown in the photo, which set of numbers completes the function table?

Correct answer: 4, 5, 13, 22

The rule is +4, ÷2, so plugging in each input number results in the following:
(4 + 4) ÷ 2 = 4, (6 + 4) ÷ 2 = 5, (22 + 4) ÷ 2 = 13, (40 + 4) ÷ 2 = 22

#### This year, Vhong received 40.5 inches of rain. This year's total was 2.62 inches higher than the previous year's.

Last year, how much rain did Vhong receive in total?

Correct answer: 37.88 inches

40.5 - 2.62 = 37.88

#### Which coordinate pairs correspond to the function table?

Correct answer: (5 , 9), (9 , 17), (14 , 27), (25 , 49)

The rule is x2, -1, so plugging in each input number results in the following:
5 x 2 - 1 = 9, 9 x 2 - 1 = 17, 14 x 2 - 1 = 27, 25 x 2 - 1 = 49.
To create coordinate pairs, write the input number followed by the output number, separated by a comma, in parentheses.