HiSET Practice Test Math — Questions and Answers

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?

286
648 (Correct answer)
75
622

Correct answer: 648

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)?

6x + 5y
3x + 5y
6x + 15xy (Correct answer)
3x + 5y + 2

Correct answer: 6x + 15xy

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?

2/3
1/2
1/3 (Correct answer)
1/6

Correct answer: 1/3

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?

5 (Correct answer)
4
12
8

Correct answer: 5

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?

17%
15%
30%
12% (Correct answer)

Correct answer: 12%

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%.

Question 6: Factor: 4y(3x + 2) − 2(3x + 2)

(4y + 2)(6x)
(4y − 6)(12x + 2)
(4y − 2)(3x + 2) (Correct answer)
(3x − 2)(4y + 2)

Correct answer: (4y − 2)(3x + 2)

The expression 4y(3x + 2) − 2(3x + 2) has a common binomial factor, (3x + 2). To factor it, pull out this common factor, leaving the remaining terms (4y - 2) in another set of parentheses. This results in the factored form (4y − 2)(3x + 2).

Question 7: Robert makes $8.10 per hour and works 40 hours per week. John's hourly wage is $10.80. How many hours would John have to work to earn the same as Robert over 40 hours?

25
30 (Correct answer)
15
27

Correct answer: 30

First, calculate Robert's total earnings for 40 hours: $8.10/hour * 40 hours = $324.00. To find out how many hours John needs to work to earn the same amount, divide Robert's total earnings by John's hourly wage: $324.00 / $10.80/hour = 30 hours. Therefore, John would have to work 30 hours.

Question 8: Angel was three times Brian's age five years ago. How old is Angel now that Brian is 10 years old?

30
18
20 (Correct answer)
25

Correct answer: 20

If Brian is currently 10 years old, then five years ago, Brian was 10 - 5 = 5 years old. At that time, Angel was three times Brian's age, meaning Angel was 3 * 5 = 15 years old. To find Angel's current age, add 5 years to her age from five years ago: 15 + 5 = 20 years old.

Question 9: How many outfit combinations are possible with six shirts, three slacks, and five ties?

90 (Correct answer)
11
14
30

Correct answer: 90

To find the total number of possible outfit combinations, multiply the number of choices for each item. With 6 shirts, 3 slacks, and 5 ties, the total combinations are 6 * 3 * 5 = 90. This is a fundamental principle of counting in probability.

Question 10: A circular form with no beginning or end.

Ray
Ray
Circle (Correct answer)
Prime Number

Correct answer: Circle

A circle is a fundamental geometric shape defined as a set of all points in a plane that are equidistant from a central point. It is characterized by its continuous, round form with no distinct beginning or end, fitting the description perfectly.

Question 11: A triangle with one right angle and two acute angles.

right triangle (Correct answer)
line
intersecting lines
inscribed angle

Correct answer: right triangle

A right triangle is a specific type of triangle that is defined by having one interior angle that measures exactly 90 degrees. The other two angles in a right triangle must be acute, meaning they are each less than 90 degrees.

Question 12: An angle produced by connecting lines that has two opposite congruent angles.

vertical angles (Correct answer)
corresponding angles
Unit Rates
Rational Number

Correct answer: vertical angles

Vertical angles are a pair of non-adjacent angles formed when two straight lines intersect. A key property of vertical angles is that they are always congruent, meaning they have equal measures. This definition accurately describes vertical angles.

Question 13: A dot-based graphical representation of data.

Dot plot (Correct answer)
Circumscribe
Chord of a circle
Real numbers

Correct answer: Dot plot

A dot plot is a simple graphical display of data where each data point is represented by a dot placed above a number line or category axis. It is used to quickly visualize the distribution, clustering, and outliers within a dataset.

Question 14: Finding which prime numbers multiply together to make the original number.

Unit Rates
Reflection
Exponents
Prime Factorization (Correct answer)

Correct answer: Prime Factorization

Prime factorization is a fundamental concept in number theory. It is the process of breaking down a composite number into its prime factors, which are prime numbers that multiply together to produce the original number. This method helps in understanding the unique building blocks of any given integer.

Question 15: The side of a right triangle opposite the right angle.

Alternate Exterior Angles
Right Triangle
Hypotenuse (Correct answer)
Adjacent Angles

Correct answer: Hypotenuse

In a right triangle, the hypotenuse is defined as the side that is directly opposite the right (90-degree) angle. It is always the longest side of the triangle. This term is crucial for understanding the properties of right triangles, especially in relation to the Pythagorean theorem.

Question 16: less than 90 degrees

Acute angle (Correct answer)
Acute angle
Acute angle
Obtuse angle

Correct answer: Acute angle

An acute angle is a basic geometric classification for an angle that measures less than 90 degrees. This distinguishes it from a right angle (exactly 90 degrees) and an obtuse angle (greater than 90 degrees but less than 180 degrees). Understanding these classifications is foundational in geometry.

HiSET Practice Test Math

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