Practice Test (3rd Grade: Math) Flashcards

Which of the following multiplication facts is being modeled?

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.

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?

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.

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?

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.

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

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.

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

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.

Which numerical expression best describes this array?

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.

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?

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.

Which of the statements about the number 24,589 is 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.

How to find the multiples of 6 in the multiplication table?

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.

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

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.

Which number sentence best explains this?

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.

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?

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.

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

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.

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

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.

Which of the following equations are related?

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.

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?

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.

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

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).

Which of the following statements regarding the models is 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.

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?

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.

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

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.