FSA Practice Test (6th Grade: Math)

Question 1

The perimeter of the following shape is? (It's in the shape of a right triangle)

Accepted Answer

24 cm

Answer

The perimeter of any polygon is the total distance around its exterior. To find the perimeter of the right triangle, you simply add the lengths of all its sides. Assuming the sides are 6 cm, 8 cm, and 10 cm (a common Pythagorean triple), the sum is 6 + 8 + 10 = 24 cm.

Question 2

Watermelons are currently on sale for $1.25 for two. What is the cost per unit?

Accepted Answer

62.5¢/watermelon

Answer

To find the cost per unit, divide the total cost by the number of units. Here, $1.25 for two watermelons means $1.25 ÷ 2 = $0.625 per watermelon. Converting this to cents, we multiply by 100, resulting in 62.5¢ per watermelon.

Question 3

Anthony has three blue and eight red balls. What is the ratio of blue to red balls?

Accepted Answer

3:8

Answer

A ratio expresses the relationship between two quantities in a specific order. When asked for the ratio of blue to red balls, you list the number of blue balls first, followed by the number of red balls. Since Anthony has three blue balls and eight red balls, the ratio is 3:8.

Question 4

What is the equivalent expression to 4(6x + 11)?

Accepted Answer

24x + 44

Answer

To find an equivalent expression, apply the distributive property. This means multiplying the number outside the parentheses by each term inside. So, 4 multiplied by 6x is 24x, and 4 multiplied by 11 is 44, resulting in the expression 24x + 44.

Question 5

Ralph received a quotient of 26 with a remainder of 13 when he divided 403 by a number. What was the number Ralph divided by?

Accepted Answer

15

Answer

The division algorithm states that Dividend = Divisor × Quotient + Remainder. We have 403 = Divisor × 26 + 13. First, subtract the remainder from the dividend: 403 - 13 = 390. Then, divide this result by the quotient: 390 ÷ 26 = 15. Therefore, the number Ralph divided by was 15.