HiSET Practice Test Math

Question 1

If a truck travels 360 kilometers in 5 hours, how far will it travel in 9 hours if the same speed is maintained?

Accepted Answer

648

Answer

To solve this, first calculate the truck's speed: 360 kilometers / 5 hours = 72 kilometers per hour. Then, multiply this constant speed by the new time to find the distance: 72 km/hour * 9 hours = 648 kilometers. Thus, the truck will travel 648 kilometers in 9 hours.

Question 2

What is equivalent to 3x(2 + 5y)?

Accepted Answer

6x + 15xy

Answer

To simplify the expression 3x(2 + 5y), apply the distributive property by multiplying 3x by each term inside the parentheses. This yields (3x * 2) + (3x * 5y), which simplifies to 6x + 15xy. This is the equivalent expression.

Question 3

A box contains four yellow marbles and eight blue marbles. What is the probability that Emma will choose a yellow marble at random from the box?

Accepted Answer

1/3

Answer

To find the probability, first determine the total number of marbles: 4 yellow + 8 blue = 12 marbles. The number of favorable outcomes (choosing a yellow marble) is 4. The probability is then the number of yellow marbles divided by the total number of marbles: 4/12, which simplifies to 1/3.

Question 4

Jennie wants to paint a room's walls. She is aware that each can of paint holds one gallon. A half gallon of paint will completely cover a 55 square foot wall. The room's four walls are each 10 feet tall. Two of the walls are 10 feet wide, while the other two are 15 feet wide. How many 1-gallon buckets of paint does Jennie need to paint the entire room?

Accepted Answer

5

Answer

First, calculate the total wall area: (2 walls * 10ft * 10ft) + (2 walls * 10ft * 15ft) = 200 sq ft + 300 sq ft = 500 sq ft. Since a half gallon covers 55 sq ft, one gallon covers 110 sq ft. To cover 500 sq ft, Jennie needs 500 sq ft / 110 sq ft/gallon = 4.54 gallons. As paint is sold in whole gallons, she must purchase 5 gallons.

Question 5

What was Jelly's tip percentage if she left a $10.16 tip on a breakfast that cost $86.89?

Accepted Answer

12%

Answer

To calculate the tip percentage, divide the tip amount by the original cost of the breakfast and then multiply by 100. So, ($10.16 / $86.89) * 100% = 0.1169 * 100% ≈ 11.69%. Rounded to the nearest whole percent, Jelly's tip percentage was 12%.

HiSET - High School Equivalency Test Practice Test

HiSET - High School Equivalency Test Practice Test

HiSET Practice Test Math