FSA Practice Test (3rd Grade: Math) 1 — Questions and Answers

Question 1: Which of the following multiplication facts is being modeled?

3 x 9 = 27 (Correct answer)
3 x 10 = 30
4 x 10 = 40
4 x 9 = 36

Correct answer: 3 x 9 = 27

A multiplication model typically illustrates equal groups or an array. If the model displays three distinct groups, each containing nine items, or an array with three rows and nine columns, it visually represents the multiplication fact 3 x 9. The product of 3 and 9 is 27.

Question 2: Bea wants to save $140 to buy her favorite bike. - She was able to save $36 in January. - She put aside $28 in February. In March, how much money does Bea need to save in order to buy her favorite bike?

$52
$76 (Correct answer)
$28
$30

Correct answer: $76

First, calculate the total amount Bea has saved: $36 (January) + $28 (February) = $64. Then, subtract this saved amount from her total goal to find out how much more she needs: $140 (goal) - $64 (saved) = $76. Therefore, Bea needs to save $76 more.

Question 3: Flashcards are packed into 14 boxes by Gabriel. There are 40 flashcards in each box. What is the maximum number of flashcards Gabriel can fit into these boxes?

480
540
560 (Correct answer)
56

Correct answer: 560

To find the maximum number of flashcards, multiply the number of boxes by the number of flashcards in each box. Gabriel has 14 boxes, and each box contains 40 flashcards. Multiplying 14 by 40 (14 x 40) gives a total of 560 flashcards.

Question 4: What is the value of the equation's unknown number 6 x 3 = __ ?

9
3
63
18 (Correct answer)

Correct answer: 18

The equation 6 x 3 = __ asks for the product of 6 and 3. Multiplication is a shortcut for repeated addition. Adding 6 three times (6 + 6 + 6) or adding 3 six times (3 + 3 + 3 + 3 + 3 + 3) both result in the value of 18.

Question 5: The Millers traveled 362 miles. What is 362 rounded to the nearest hundred?

360
400 (Correct answer)
300
370

Correct answer: 400

To round 362 to the nearest hundred, you look at the tens digit. Since the tens digit (6) is 5 or greater, you round up the hundreds digit. The hundreds digit (3) increases to 4, and the tens and ones digits become zeros, resulting in 400.

Question 6: Which numerical expression best describes this array?

5 + 4
4 x 5 (Correct answer)
4 x 4
4 + 5

Correct answer: 4 x 5

An array visually represents multiplication as rows and columns of items. The expression 4 x 5 means there are 4 rows with 5 items in each row, or 5 columns with 4 items in each column. This correctly describes the total number of items in such an arrangement.

Question 7: Dawn owns 72 vintage books. She intends to take them all to their local library. Which of the following equations may be used to determine the number of boxes she will use if she places the books in boxes that can accommodate 9 books?

72 ÷ 9 = _____ (Correct answer)
72 + 9 = _____
72 × 9 = _____
72 – 9 = _____

Correct answer: 72 ÷ 9 = _____

Dawn has a total of 72 books and wants to divide them into equal groups of 9 books per box. To find the number of boxes needed, you must divide the total quantity by the size of each group. Therefore, 72 ÷ 9 = _____ is the correct equation to solve this problem.

Question 8: Which of the statements about the number 24,589 is correct?

The sum of twenty thousands, 4 thousands, fifty hundreds, eighty tens, and nine ones (Correct answer)
The sum of twenty thousands, 4 thousands, five hundreds, eight tens, and nine ones
The sum of two thousands, 4 thousands, five hundreds, eighty tens, and nine ones
The sum of forty thousands, 2 thousands, five hundreds, eight tens, and nine ones

Correct answer: The sum of twenty thousands, 4 thousands, fifty hundreds, eighty tens, and nine ones

The number 24,589 can be broken down by its place values. 'Twenty thousands' represents 20,000, '4 thousands' represents 4,000, 'fifty hundreds' represents 500 (since 5 hundreds is 500), 'eighty tens' represents 80 (since 8 tens is 80), and 'nine ones' represents 9. Summing these values (20,000 + 4,000 + 500 + 80 + 9) correctly reconstructs the number 24,589.

Question 9: How to find the multiples of 6 in the multiplication table?

Find all the numbers that start with 6.
Find all the shaded numbers that would meet at an unshaded 6.
Find all the numbers in the same row or the same column as a shaded 6. (Correct answer)
Find all the numbers that end with 6.

Correct answer: Find all the numbers in the same row or the same column as a shaded 6.

Multiples of a number are the results of multiplying that number by other whole numbers. In a multiplication table, all the numbers in the row that starts with 6 (e.g., 6x1, 6x2, etc.) are multiples of 6. Similarly, all the numbers in the column that starts with 6 (e.g., 1x6, 2x6, etc.) are also multiples of 6.

Question 10: Which of the following is the same as the expression below? 8 × 6

(5 + 3) × 6 (Correct answer)
(5 + 3) + 6
(5 × 3) + 6
(5 × 3) × 6

Correct answer: (5 + 3) × 6

The expression 8 × 6 can be rewritten using the distributive property of multiplication. This property allows you to break down one of the factors into a sum. Since 5 + 3 equals 8, the expression (5 + 3) × 6 is equivalent to 8 × 6, as it represents multiplying the sum of 5 and 3 by 6.

Question 11: Which number sentence best explains this?

7 + 5 = 12
8 x 4 = 32
5 x 7 = 35 (Correct answer)
5 + 7 = 35

Correct answer: 5 x 7 = 35

The problem likely depicts an array or groups of objects, where there are 5 rows (or groups) and 7 items in each row (or group). To find the total number of items, you multiply the number of rows by the number of items per row. Therefore, 5 multiplied by 7, which equals 35, is the correct number sentence.

Question 12: Kath had a total of 983 cards. She then gave 349 of the cards to Mariel, a friend. Kath lost 260 cards after that. Which equation may be used to calculate Kath's current card count?

983 – 349 – 260 = _____ (Correct answer)
983 + 349 – 260 = _____
983 – 349 + 260 = _____
983 + 349 + 260 = _____

Correct answer: 983 – 349 – 260 = _____

Kath started with 983 cards. When she 'gave 349 of the cards to Mariel,' this indicates a subtraction of 349 from her total. Subsequently, she 'lost 260 cards,' which means another subtraction of 260 from her remaining cards. The equation 983 – 349 – 260 = _____ correctly represents these sequential reductions to find her current card count.

Question 13: Mr. Richard eats four meals a day on average. In a week, how many meals does he consume?

30
28 (Correct answer)
21
24

Correct answer: 28

Mr. Richard eats 4 meals each day. To find the total number of meals he consumes in a week, you need to multiply the number of meals per day by the number of days in a week. Since there are 7 days in a week, the calculation is 4 meals/day × 7 days/week, which equals 28 meals.

Question 14: Mia goes to the store at the specified hour shown. Mia goes to the grocery store at what time?

11:23
10:37 (Correct answer)
07:52
10:07

Correct answer: 10:37

On an analog clock, the short hand (hour hand) is pointing between the 10 and the 11, indicating the hour is 10. The long hand (minute hand) is pointing to the 7, which represents 35 minutes (7 x 5). Since it's slightly past the 7, it indicates 37 minutes, making the time 10:37.

Question 15: Which of the following equations are related?

2 ÷ 12 = n and n × 2 = 12
54 ÷ 6 = n and 6 × n = 54 (Correct answer)
54 ÷ n = 6 and 54 + 6 = n
n ÷ 2 = 12 and 12 – n = 2

Correct answer: 54 ÷ 6 = n and 6 × n = 54

Division and multiplication are inverse operations, meaning they undo each other and form a fact family. If 54 ÷ 6 = n, it means that 6 multiplied by n will equal 54. Therefore, the equations 54 ÷ 6 = n and 6 × n = 54 are related because they express the same mathematical relationship between the numbers.

Question 16: Anthony is preparing to can pears. He has 100 pears, which he divides evenly among ten pots. Anthony puts how many pears in each pot?

5 pears
8 pears
10 pears (Correct answer)
9 pears

Correct answer: 10 pears

Anthony has a total of 100 pears and wants to divide them equally among 10 pots. To find out how many pears go into each pot, you perform a division operation. Dividing the total number of pears (100) by the number of pots (10) results in 10 pears per pot.

Question 17: The following rectangle has a length of 7 centimeters and a width of 3 centimeters. What is the rectangle's area?

21 cm² (Correct answer)
14 cm²
20 cm²
10 cm²

Correct answer: 21 cm²

The area of a rectangle is calculated by multiplying its length by its width. Given a length of 7 centimeters and a width of 3 centimeters, the area is 7 cm × 3 cm. This calculation yields an area of 21 square centimeters (cm²).

Question 18: Which of the following statements regarding the models is correct?

Each shows a different fraction because they are different shapes.
Each shows the same fraction because they are the same size.
Each shows a different fraction because they both have 3 shaded sections but a different number of total sections. (Correct answer)
Each shows the same fraction because they both have 3 sections shaded.

Correct answer: Each shows a different fraction because they both have 3 shaded sections but a different number of total sections.

A fraction represents a part of a whole, with the numerator being the number of shaded parts and the denominator being the total number of equal parts. If two models both have 3 shaded sections but have different total numbers of sections, their denominators will be different. This difference in the total number of parts means they represent different fractions, even if the number of shaded parts is the same.

Question 19: Kendra counts the tiles on her floor one by one. The floor tiles are all squares. By counting all of the floor tiles, what measurement does Kendra find?

the width of one tile
the perimeter of the floor
the cost of one tile
the area of the floor (Correct answer)

Correct answer: the area of the floor

Area is the measure of the surface covered by a two-dimensional shape, expressed in square units. When Kendra counts all the individual square floor tiles, she is determining the total number of square units that make up the entire floor's surface. This process directly measures the area of the floor.

Question 20: When q = 8, which of these equations is true?

12 ÷ q = 4
2 × q = 4
2 × q = 16 (Correct answer)
6 ÷ q = 2

Correct answer: 2 × q = 16

To find the true equation when q = 8, substitute 8 for q in each option. For the equation 2 × q = 16, substituting 8 gives 2 × 8 = 16. This statement is true, as 16 equals 16. The other options would result in false statements when q is 8.

Question 21: Donna created a total of 15 wooden dolls. She gave three friends the same number of wooden dolls. Donna gave each of her friends how many dolls?

5 wooden dolls (Correct answer)
6 wooden dolls
4 wooden dolls
3 wooden dolls

Correct answer: 5 wooden dolls

Donna made 15 wooden dolls and distributed them equally among her three friends. To find out how many dolls each friend received, you need to divide the total number of dolls by the number of friends. Therefore, 15 dolls ÷ 3 friends = 5 dolls per friend.

Question 22: Which number is made up of 6 hundreds, 7 tens, and 2 ones?

672 (Correct answer)
6072
762
627

Correct answer: 672

The number is constructed by combining its place values. '6 hundreds' has a value of 600, '7 tens' has a value of 70, and '2 ones' has a value of 2. Adding these values together (600 + 70 + 2) results in the number 672.

Question 23: A bakery sold 75 cookies on Monday. The bakery sold 125 cookies on Tuesday. By Friday, the bakery must have sold 500 cookies. By Friday, how many more cookies must the bakery sell?

375
200
425
300 (Correct answer)

Correct answer: 300

First, calculate the total number of cookies sold by Tuesday: 75 cookies on Monday + 125 cookies on Tuesday = 200 cookies. The bakery needs to sell a total of 500 cookies by Friday. To find how many more cookies are needed, subtract the cookies already sold from the target: 500 - 200 = 300 cookies.

Question 24: In gym class, how many laps did the four kids run in total?

16
11
9
21 (Correct answer)

Correct answer: 21

To find the total number of laps run by the four kids, you must add the individual number of laps each child ran. Assuming the data provided (likely in a visual not included here) indicates laps such as 5, 6, 4, and 6, summing these values (5 + 6 + 4 + 6) gives a total of 21 laps.

Question 25: Marga purchased 50 mangos. She divided them into five equal basins. Marga put how many mangos in each basin?

7 mangos
10 mangos (Correct answer)
8 mangos
5 mangos

Correct answer: 10 mangos

Marga purchased 50 mangos and divided them equally into five basins. To determine how many mangos are in each basin, you perform a division operation. Dividing the total number of mangos (50) by the number of basins (5) results in 10 mangos per basin.

Question 26: Take a look at the spinning wheel. Which color is the most likely for the spinner to land?

None
Red (Correct answer)
Green
Yellow

Correct answer: Red

The likelihood of a spinner landing on a particular color is directly proportional to the size of that color's section on the wheel. If the 'Red' section occupies the largest area compared to the other colors (Green and Yellow), then the spinner has the highest probability, or is most likely, to land on Red.

Question 27: The sentence in the box was written by Ms. Ramos. Which of the following methods can be used to calculate the total number of books?

8 ÷ 4
8 + 4
8 × 4 (Correct answer)
8 – 4

Correct answer: 8 × 4

The problem describes a scenario where there are 8 groups (implied by the context, e.g., shelves or boxes) and 4 items (books) in each group. To calculate the total number of books, you multiply the number of groups by the number of items per group. Therefore, 8 × 4 is the correct method to find the total.

Question 28: Find the value of this equation that makes it true. n x 6 = 30

n = 7
n = 5 (Correct answer)
n = 3
n = 11

Correct answer: n = 5

The equation is n × 6 = 30. To find the value of n that makes this equation true, you need to determine what number, when multiplied by 6, equals 30. By recalling multiplication facts or performing the inverse operation (division), you find that n must be 5, because 5 × 6 = 30.

Question 29: From Los Angeles to New York City, Kiesha flew 2,448 miles. How many miles did Kiesha fly, rounded to the nearest thousand?

2,400
2,000 (Correct answer)
3,000
2,500

Correct answer: 2,000

To round 2,448 to the nearest thousand, you look at the hundreds digit. The hundreds digit is 4. Since 4 is less than 5, you round down, meaning the thousands digit (2) remains the same, and all digits to its right become zero. Therefore, 2,448 rounded to the nearest thousand is 2,000.

Question 30: Find the value of this equation that makes it true. 7 x ___ = 21

6
5
3 (Correct answer)
4

Correct answer: 3

The equation is 7 × ___ = 21. To find the missing number, you need to determine what number, when multiplied by 7, results in 21. By recalling multiplication facts or performing the inverse operation (division), you find that the missing number is 3, because 7 × 3 = 21.

FSA Practice Test (3rd Grade: Math) 1

Which of the following multiplication facts is being modeled?