FSA Practice Test (5th Grade: Math)

Question 1

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

Accepted Answer

72

Answer

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 _________.

Accepted Answer

Hundredths

Answer

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?

Accepted Answer

72 cubic meters

Answer

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?

Accepted Answer

65

Answer

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?

Accepted Answer

192 cm³

Answer

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).