HiSET Math Practice Test

Which of the following is equivalent to \(3x(2 + 5y)\)?

If a car travels 360 kilometers in 5 hours, how many kilometers will it travel in 9 hours when driving at the same speed?

Aisha wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will completely cover a 55 square feet of wall. Each of the four walls of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Aisha need to buy in order to fully paint the room?

There are 4 red marbles and 8 green marbles in a box. If Emma randomly selects a marble from the box, what is the probability of her selecting a red marble?

If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip?

Sofía’s Restaurant offers the following choices:

If the only dinner you can order must include one salad, one main course, and one dessert, how many different combinations of this dinner are possible?

Factor: 4y(3x + 2) − 2(3x + 2)

Simplify:

\(\dfrac{6x^5 − 2x − 4}{2x}\)

Mason earns $8.10 per hour and worked 40 hours. Noah earns $10.80 per hour. How many hours would Noah need to work to equal Mason’s earnings over 40 hours?

The area of the circle shown below is 100\(\pi\). What is the diameter (D) of the circle?

Emma has a budget of $300 for her holiday spending. She decides to buy a pair of shoes for each of her grandchildren. If each pair costs c dollars, and Emma has 7 grandchildren, which of the following inequalities represents her budget constraint?

There are 5 blue marbles, 4 red marbles, and 3 yellow marbles in a box. If Isabella randomly selects a marble from the box, what is the probability of her selecting a red or yellow marble?

There are two pizza ovens in a restaurant. Oven #1 burns three times as many pizzas as Oven #2. If the restaurant had a total of 12 burnt pizzas on Saturday, how many pizzas did Oven #2 burn?

Simplify:

(x⁶)(x⁵)

Each player on a high school football team has been weighed, and the data are shown in the box-and-whisker plot below.

Based on this box-and-whisker plot, which of the following statements is accurate?

If y = 3ab + 2b³, what is y when a = 1 and b = 2?

This pie chart shows Al’s monthly expenses. If Al spent a total of $1,550 in one month, how much did he spend on clothes in that month?

This pie chart shows Al’s monthly expenses. If Al spent $210 on transportation in one month, how much did he spend on food in that month?

A toy manufacturer makes 15,000 toys per year. The company randomly selects 300 of the toys to sample for inspection. The company discovers that there are 5 faulty toys in the sample. Based on the sample, how many of the 15,000 total toys are likely to be faulty?

What is the slope of the line that passes through points (0,5) and (7,0) on the coordinate plane shown below?

Kayla owns a house cleaning company and must give price quotes to potential customers. She determines her price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for every other room.

If she uses P to represent the price, B to represent the bathrooms, and R to represent the other rooms, which of the following defines her price quote formula?

Max struggled with his math class early in the year, but he has been working hard to improve his scores. There is one test left, and he is hoping that his final average test score will be 75. What score will he need to get on Test 6 to finish the year with an average score of 75?

(3x + 4y)(2x + 5y) = ?

What is 181.5% of 18?

Solve for x:

3(x + 1) = 5(x − 2) + 7

Consider the list:

2, 2, 3, 5, 9, 11, 17, 21

If the number 23 is added to the list, which measurement will NOT change?

Calculate the value of x for the right triangle shown below.

List A consists of the numbers {2, 9, 5, 1, 13}, and list B consists of the numbers {7, 4, 12, 15, 18}.

If the two lists are combined, what is the median of the combined list?

In a coordinate plane, triangle ABC has coordinates: (−2,7), (−3,6), and (4,5). If triangle ABC is reflected over the y-axis, what are the coordinates of the new image?

If the height of a right pyramid is 6 cm and its base is a square with side 2 cm, what is its volume?

A river rafting guide offers group trips. She charges $250 for 2 people and $40 more for each additional person. If 5 friends share the cost of a trip equally, how much will each person pay?

Multiply and write the product in scientific notation:

(7.9 × 10⁵) × (4.1 × 10⁻³)

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age in terms of m?

The points represented by the (x, y) coordinate pairs in the table below all lie on line k.

What is the slope of line k?

Liam is driving to Utah. He travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hour time period what was Liam’s average speed?

\(6.6 × 10^{−4} =\)

Karen, James, Frank, and Dan were left an inheritance by their grandfather. If Karen receives one-eighth of the inheritance, James receives one quarter of the inheritance, Frank receives three-eighths of the inheritance, and Dan receives the remainder, what fraction of the inheritance does Dan receive?

\(\dfrac{20x^3 + 30x^9}{5x^3} = \; ?\)

The data in the table below shows the results of Tracy trying to train her dog Snowy.

In what percentage of these trials did Snowy obey the command given?

Which of the following is a rational number?

In the figure below, lines d and f are parallel and the angle measures are as given. What is the value of x?

Valentina purchased a new hat that was on sale for $5.06. The original price was $9.20. What percentage discount was the sale price?

ABC is a triangle with coordinates (3, 1), (6, 1), and (1, 3). It is translated to points A′(−3, 3), B′( 0, 3), and C′(−5, 5). Find the rule for the translation.

Anastasia needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a diameter of 10 feet. What is the volume of her storage tank?

Each day, Deion takes two pills of type A medicine, three pills of type B medicine, and one pill of type C medicine. How many pills will he take in 14 days if he forgets to take the type B pills on each of two days?

\(\dfrac{7.2 × 10^5}{3.6 × 10^{−2}} = \; ?\)

Three boxes of crayons, identified as Box A, Box B, and Box C, contain the same four colors, as shown in the following chart.

What percent of all the crayons that are green or brown are contained in Box B?

Which of the following is the BEST estimate of (3995)(102)?

Jodi buys nine pens at $1.10 per pen. Which of the following represents the change she would receive if she purchased the pens using a $20 bill?

Which of the following tables does NOT represent a function?