FSA Practice Test (7th Grade: Math)

Question 1

What is the expression's result?
-7(-3)

Accepted Answer

21

Answer

When multiplying two negative numbers, the product is always positive. Therefore, multiplying -7 by -3 results in a positive value. The numerical product of 7 and 3 is 21, so -7 multiplied by -3 equals 21.

Question 2

Kc is conducting a survey to determine which sport her high school's students like. Which of the following categories should she survey in order to gather reliable data?

Accepted Answer

students in the cafeteria

Answer

To gather reliable data about high school students' sport preferences, Kc needs to survey a representative sample of the student body. Surveying students in the cafeteria provides a more random and diverse cross-section of students compared to surveying parents, teachers, or only students at a specific sporting event, which would introduce bias.

Question 3

What is the constant of proportionality between them (the ratio of x to y) if y is proportional to x, and y = 4 when x = 6?

Accepted Answer

3/2

Answer

If y is proportional to x, the relationship is expressed as y = kx, where k is the constant of proportionality (y/x). Given y = 4 when x = 6, k = 4/6, which simplifies to 2/3. The question asks for the ratio of x to y, which is the reciprocal of k, so x/y = 6/4 = 3/2.

Question 4

What is the median of these figures?
4,9,13,8,15,18,5

Accepted Answer

9

Answer

To find the median, first arrange the numbers in ascending order: 4, 5, 8, 9, 13, 15, 18. Since there is an odd number of figures (7), the median is the middle value. In this ordered list, the fourth number is 9, making it the median.

Question 5

The bag contains 12 shirts and 16 pants. What is the overall clothing to pants ratio? (in its simplest form)

Accepted Answer

7/4

Answer

The total number of clothing items is the sum of shirts and pants: 12 + 16 = 28. The ratio of overall clothing to pants is then 28 to 16. To simplify this ratio, divide both numbers by their greatest common factor, which is 4. This yields a simplified ratio of 7/4.