FSA Practice Test (5th Grade: Math) 1 — Questions and Answers

Question 1: In a rectangle with a height of 54 and a width of 12, how many 3 x 3 squares can fit?

44
72 (Correct answer)
62
50

Correct answer: 72

To find how many 3x3 squares fit, first determine how many 3-unit lengths fit along the width and height. For the width, 12 / 3 = 4 squares. For the height, 54 / 3 = 18 squares. Multiplying these values (4 * 18) gives the total number of 3x3 squares that can fit, which is 72.

Question 2: The place value of the digit 6 in 98.361 is _________.

Thousandths
Tenths
Hundredths (Correct answer)
Ones

Correct answer: Hundredths

In the decimal number 98.361, the digits after the decimal point represent fractions. The first digit (3) is in the tenths place, the second digit (6) is in the hundredths place, and the third digit (1) is in the thousandths place. Therefore, the digit 6 is in the hundredths place.

Question 3: The dimensions of a rectangle prism-shaped box are provided below. What is the box's volume?

72 cubic meters (Correct answer)
84 cubic meters
36 cubic meters
60 cubic meters

Correct answer: 72 cubic meters

The volume of a rectangular prism is calculated by multiplying its length, width, and height. Assuming the dimensions are 3 meters, 4 meters, and 6 meters (common factors for 72), the calculation would be 3m * 4m * 6m. This results in a volume of 72 cubic meters.

Question 4: Jen came up with the following expression. (9 + k) x 5 What is the value of Jen's expression for k = 4?

29
28
65 (Correct answer)
41

Correct answer: 65

To evaluate the expression (9 + k) x 5 for k = 4, first substitute 4 for k. This gives (9 + 4) x 5. Following the order of operations, perform the addition inside the parentheses first: 9 + 4 = 13. Then, multiply the result by 5: 13 x 5 = 65. Thus, the value of the expression is 65.

Question 5: What is the box's volume?

192 cm³ (Correct answer)
162 cm³
24 cm³
32 cm³

Correct answer: 192 cm³

The volume of a rectangular box is found by multiplying its length, width, and height. Assuming the dimensions are 4 cm, 6 cm, and 8 cm (common factors for 192), the calculation would be 4 cm * 6 cm * 8 cm. This results in a volume of 192 cubic centimeters (cm³).

Question 6: 15.045 is written in what word form?

Fifteen and forty-five hundredths
Fifteen and forty-five thousandths (Correct answer)
Fifteen and zero forty-five
Fifteen and four hundredths and five thousandths

Correct answer: Fifteen and forty-five thousandths

To write 15.045 in word form, first state the whole number part, which is 'Fifteen.' The decimal point is read as 'and.' Then, read the digits after the decimal as a whole number, 'forty-five,' and identify the place value of the last digit. Since the 5 is in the thousandths place, the decimal part is 'forty-five thousandths,' making the full word form 'Fifteen and forty-five thousandths.'

Question 7: Which of the inequalities listed below is correct?

0.2 > 0.37
0.298 < 0.2
0.3 > 0.298 (Correct answer)
0.37 < 0.3

Correct answer: 0.3 > 0.298

To determine the correct inequality, compare the decimal numbers. Option C, 0.3 > 0.298, is correct because 0.3 can be thought of as 0.300. When comparing 0.300 to 0.298, 0.300 is indeed greater. The other options present incorrect comparisons.

Question 8: 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?

$9 - ($5 - x)
$95x
($9 - $5)x (Correct answer)
$9 - $5x

Correct answer: ($9 - $5)x

Glor saves money each week by subtracting her spending from her allowance. So, the amount saved per week is ($9 - $5). To find the total amount saved over 'X' weeks, this weekly saving must be multiplied by 'X'. Therefore, the expression ($9 - $5)x correctly represents her total savings.

Question 9: For a room measuring 18 feet by 18 feet, how many square feet of tile is required?

108 Square Feet
72 Square Feet
324 Square Feet (Correct answer)
216 Square Feet

Correct answer: 324 Square Feet

To find 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. So, 18 feet * 18 feet = 324 square feet. This is the total amount of tile needed.

Question 10: Write this number in expanded form: 37.954

30 + 7 + 0.9 + 0.05 + 0.004 (Correct answer)
30 + 7 + 0.009+ 0.05 + 0.4
30 + 7 + 0.9 + 0.5 + 0.4
30 + 7 decimal 9 + 5 + 4

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

Expanded form breaks down a number into the sum of its place values. For 37.954, the '3' is in the tens place (30), the '7' is in the ones place (7), the '9' is in the tenths place (0.9), the '5' is in the hundredths place (0.05), and the '4' is in the thousandths place (0.004). Adding these together gives 30 + 7 + 0.9 + 0.05 + 0.004.

Question 11: 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?

17
14
15
16 (Correct answer)

Correct answer: 16

To find out how many bags are needed, divide the total cement required (1,250 pounds) by the weight of each bag (80 pounds). This calculation yields 15.625 bags. Since you cannot purchase a fraction of a bag, the number must be rounded up to the next whole bag to ensure there is enough cement to complete the job. Therefore, 16 bags are required.

Question 12: [x + 5] ÷ [x - 5] What is the value x = 10?

1
10
3 (Correct answer)
5

Correct answer: 3

To evaluate the expression [x + 5] ÷ [x - 5] when x = 10, substitute 10 for x in both parts of the expression. This gives [10 + 5] ÷ [10 - 5]. First, simplify the terms inside the brackets: 10 + 5 equals 15, and 10 - 5 equals 5. Finally, divide 15 by 5, which results in 3.

Question 13: 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?

$300,000 (Correct answer)
$340,000
$20,000
$30,000

Correct answer: $300,000

The problem states that $200,000 was two-thirds (2/3) of the predicted income. To find the total predicted income, you can set up the equation (2/3) * P = $200,000, where P is the predicted income. To solve for P, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. So, P = $200,000 * (3/2) = $300,000.

Question 14: Which formula shows that the "quotient" of 72 "divided" by 8 is 10 higher?

8 ÷ (72 + 10)
72 ÷ (8 + 10)
(10 + 72) ÷ 8
(72 ÷ 8) + 10 (Correct answer)

Correct answer: (72 ÷ 8) + 10

The phrase 'quotient of 72 divided by 8' translates directly to the division operation (72 ÷ 8). The phrase 'is 10 higher' means that 10 should be added to the result of that division. Therefore, the correct formula is (72 ÷ 8) + 10, where the parentheses ensure the division is performed before the addition.

Question 15: Which of the following quadrilateral statements is false?

Every rectangle is also a parallelogram.
Every rhombus is also a parallelogram.
Every square is also a rectangle.
Every trapezoid is also a rectangle. (Correct answer)

Correct answer: Every trapezoid is also a rectangle.

A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. A rectangle, however, must have two pairs of parallel sides and four right angles. Since a trapezoid does not necessarily possess all the properties of a rectangle (such as four right angles or two pairs of parallel sides), the statement 'Every trapezoid is also a rectangle' is false.

Question 16: 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?

(9 + 9) x 3
(9 + 9) ÷ 3 (Correct answer)
(9 + 9) ÷ 4
(9 + 9) x 4

Correct answer: (9 + 9) ÷ 3

Rey starts with 9 coins and receives 9 more, so the total number of coins is represented by the sum (9 + 9). The problem states he divides his money 'between his two brothers equally.' While this phrasing typically implies dividing by 2, the correct expression (9 + 9) ÷ 3 suggests the total coins are divided among three recipients. This could imply a typo in the question, or an unstated third person receiving coins.

Question 17: 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?

13 Inches
12 Inches
9 Inches
11 Inches (Correct answer)

Correct answer: 11 Inches

To find the median, first arrange the fish lengths in ascending order: 9, 9, 10, 11, 13, 14, 18. There are 7 data points, which is an odd number. The median is the middle value in an ordered set. In this case, the 4th value ( (7+1)/2 ) is the median, which is 11 inches.

Question 18: Which expression shows 83 minus the product of 15 and 2?

83 – (15 + 2)
83 – (15 x 2) (Correct answer)
(15 x 2) – 83
(83 – 15) x 2

Correct answer: 83 – (15 x 2)

The phrase '83 minus' indicates that 83 is the starting number from which something will be subtracted. 'The product of 15 and 2' means that 15 and 2 should be multiplied together. To ensure the multiplication is performed before the subtraction, the product (15 x 2) must be enclosed in parentheses. Thus, the correct expression is 83 – (15 x 2).

Question 19: 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?

53.9 pounds (Correct answer)
53.87 pounds
53.8 pounds
53.86 pounds

Correct answer: 53.9 pounds

To round 53.864 pounds to the nearest tenth, identify the tenths digit, which is 8. Then, look at the digit immediately to its right, which is 6. Since 6 is 5 or greater, you round up the tenths digit. Therefore, 8 rounds up to 9, making the number 53.9 pounds.

Question 20: What is this expression's value? [(9 + 5) x (4 - 2)] x (5 - 1)

336
148
108
112 (Correct answer)

Correct answer: 112

To evaluate the expression [(9 + 5) x (4 - 2)] x (5 - 1), follow the order of operations (PEMDAS/BODMAS). First, calculate the values inside each set of parentheses: (9 + 5) = 14, (4 - 2) = 2, and (5 - 1) = 4. Substitute these values back into the expression: [14 x 2] x 4. Next, perform the multiplication inside the remaining bracket: 14 x 2 = 28. Finally, multiply 28 by 4, which equals 112.

Question 21: 4,9,13,8,15,18,5 What is the median of all of these numbers?

15
8
9 (Correct answer)
13

Correct answer: 9

To find the median of the numbers 4, 9, 13, 8, 15, 18, 5, first arrange them in ascending order: 4, 5, 8, 9, 13, 15, 18. There are 7 numbers in the set. The median is the middle value, which for an odd number of data points is the ((n+1)/2)th term. In this case, it's the (7+1)/2 = 4th term, which is 9.

Question 22: 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?

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

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

Kring bought 10 cases of beer with 24 cans each, so the number of beer cans is 10 x 24. He also bought three six-packs of juice, meaning 3 x 6 juice cans. To find the total number of cans, these two amounts must be added together. Therefore, the expression (10 x 24) + (3 x 6) correctly represents the total number of cans bought.

Question 23: 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?

1,580 milliliters
3,290 milliliters (Correct answer)
158 milliliters
329 milliliters

Correct answer: 3,290 milliliters

First, convert all measurements to a consistent unit, milliliters. Tricia started with 3.48 liters, which is 3.48 * 1000 = 3480 milliliters. She used 40 milliliters for her cactus and 150 milliliters for her rose, totaling 40 + 150 = 190 milliliters used. To find the remaining amount, subtract the used water from the initial amount: 3480 mL - 190 mL = 3290 milliliters.

Question 24: Andy writes this on the whiteboard. [(15 - 9) ÷ 2] x (10 - 4) What does Andy's expression's value?

48
42
10
18 (Correct answer)

Correct answer: 18

To find the value of [(15 - 9) ÷ 2] x (10 - 4), follow the order of operations. First, calculate the values inside the parentheses: (15 - 9) equals 6, and (10 - 4) equals 6. The expression becomes [6 ÷ 2] x 6. Next, perform the division inside the bracket: 6 ÷ 2 equals 3. Finally, multiply 3 by 6, which results in 18.

Question 25: As shown in the photo, which set of numbers completes the function table?

11, 12, 18, 112
3, 6, 32, 48
4, 5, 11, 15
3, 6, 24, 36 (Correct answer)

Correct answer: 3, 6, 24, 36

To complete a function table, you must first identify the rule or pattern that relates the input values (x) to the output values (y). Once the function rule is determined from the given pairs in the table, apply this rule to the remaining input values to calculate their corresponding output values. The correct set of numbers (3, 6, 24, 36) would be the outputs that consistently follow this established function rule.

Question 26: The ordered pair (4, 7) represents the coordinate plane location of a point. What should be the first step in locating the point?

Starting at the origin, move 4 units to the left.
Starting at the origin, move 4 units up.
Starting at the origin, move 4 units down.
Starting at the origin, move 4 units to the right. (Correct answer)

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

In an ordered pair (x, y), the first number, x, represents the horizontal movement from the origin. A positive x-value indicates movement to the right, while a negative x-value indicates movement to the left. Therefore, to locate the point (4, 7), the first step is to move 4 units to the right from the origin along the x-axis.

Question 27: Ion creates the following expression. [(12 + 4) x 3] ÷ (m + 6) When m = 6, what is the value of Ion's expression?

12
8
6
4 (Correct answer)

Correct answer: 4

To find the value of Ion's expression [(12 + 4) x 3] ÷ (m + 6) when m = 6, first substitute 6 for m. The expression becomes [(12 + 4) x 3] ÷ (6 + 6). Next, perform the operations inside the parentheses: (12 + 4) = 16 and (6 + 6) = 12. The expression simplifies to [16 x 3] ÷ 12. Then, calculate 16 x 3 = 48. Finally, divide 48 by 12, which equals 4.

Question 28: As shown in the photo, which set of numbers completes the function table?

10, 12, 28, 46
16, 20, 52, 88
4, 5, 13, 22 (Correct answer)
1, 3, 19, 37

Correct answer: 4, 5, 13, 22

To complete a function table, you must identify the mathematical rule that transforms the input values (x) into the output values (y). By examining the provided input-output pairs, you can deduce this rule. The correct option (4, 5, 13, 22) represents the set of output values that accurately complete the table based on the consistent function rule.

Question 29: 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?

37.88 inches (Correct answer)
1.43 inches
38.12 inches
2.63 inches

Correct answer: 37.88 inches

The problem states that this year's rainfall (40.5 inches) was 2.62 inches higher than last year's total. To find last year's rainfall, you need to subtract the difference from this year's total. So, calculate 40.5 - 2.62. Performing this subtraction yields 37.88 inches of rain for the previous year.

Question 30: Which coordinate pairs correspond to the function table?

(5 , 9), (14 , 25), (9 , 17), (27 , 49)
(5 , 9), (9 , 17), (17 , 14), (14 , 25)
(5 , 11), (9 , 17), (14 , 29), (25 , 51)
(5 , 9), (9 , 17), (14 , 27), (25 , 49) (Correct answer)

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

To identify the correct coordinate pairs for a function table, you must first determine the function rule that relates the input (x) to the output (y). By testing the given pairs, we find the rule y = 2x - 1 consistently applies: (5, 9) -> 2(5)-1=9; (9, 17) -> 2(9)-1=17; (14, 27) -> 2(14)-1=27; (25, 49) -> 2(25)-1=49. Therefore, the option listing these pairs is correct.

FSA Practice Test (5th Grade: Math) 1

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