FREE HiSET Math Practice Test

Interactive HiSET Math Practice Test (Timed, 55 Questions)

Take our free, full-length HiSET Math practice test below. It mirrors the real exam: 55 multiple-choice questions in 90 minutes, calculator-neutral, covering all four HiSET Mathematics content areas. You’ll get a HiSET-style score (1–20), a breakdown of where you stand, and full step-by-step explanations after you submit. Scroll down for more HiSET math practice and study tips.

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10 Sample HiSET Math Practice Questions

1- Solve for \(x\):
\(4(x + 1) = 6(x − 4) + 20\)

A. 12

B. 8

C. 6.2

D. 5.5

E. 4

2- What is \(2.5\%\) of 1,200?

A. 900

B. 600

C. 300

D. 60

E. 30

3- \((2x + 2y)(5x + 2y) =?\)

A. \(2x^2+ 14xy + 2y^2\)

B. \(2x^2+ 4xy + 2y^2\)

C. \(7x^2+ 14xy + y^2\)

D. \(10x^2+ 14xy + 2y\)

E. \(10x^2 + 14xy + 4y^2\)

4- Which of the following expressions is equivalent to
\(2x (4 + 2y)\)?

A. \(6xy + 8x\)

B. \(8xy + 8x\)

C. \(xy + 8\)

D. \(2xy + 8x\)

E. \(4xy + 8x\)

5- If \(y = 4ab + 3b³\), what is\( y\) when \(a = 2\) and \(b = 3\)?

A. 24

B. 31

C. 36

D. 51

E. 105

6- 11 yards 6 feet and 4 inches equals to how many inches?

A. 388

B. 468

C. 472

D. 476

E. 486

7- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

E. 50

8- A shirt costing $200 is discounted \(15\%\). After a month, the shirt is discounted another \(15\%\). Which of the following expressions can be used to find the selling price of the shirt?

A. \((200) (0.70)\)

B. \((200) – 200 (0.30)\)

C. \((200) (0.15) – (200) (0.15)\)

D. \((200) (0.85) (0.85)\)

E. \((200) (0.85) (0.85) – (200) (0.15)\)

9- Which of the following points lies on the line \(2x + 4y = 10\)

A. \((2, 1)\)

B. \((–1, 3)\)

C. \((–2, 2)\)

D. \((2, 2)\)

E. \((2, 8)\)

10- \(5 + 8 × (–2) – [4 + 22 ×5] ÷ 6 =\)?

A. 120

B. 88

C. \(-45\)

D. \(-40\)

E. \(-30\)

11- The price of a car was $20,000 in 2014, $16,000 in 2015 and $12,800 in 2016. What is the rate of depreciation of the price of car per year?

A. \(15 \%\)

B. \(20 \%\)

C. \(25 \%\)

D. \(30 \%\)

E. \(30 \%\)

12- The width of a box is one third of its length. The height of the box is one third of its width. If the length of the box is 27 cm, what is the volume of the box?

A. \(81 cm^3\)

B. \(162 cm^3\)

C. \(243 cm^3\)

D. \(729 cm^3\)

E. \(1880 cm^3\)

13- If \(60 \%\) of A is \(20 \%\) of B, then B is what percent of A?

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A. \(3 \%\)

B. \(30 \%\)

C. \(200 \%\)

D. \(300 \%\)

E. \(900 \%\)

14- How many possible outfit combinations come from six shirts, three slacks, and five ties?

A. 11

B. 14

C. 15

D. 30

E. 90

15- A ladder leans against a wall forming a 60\(^\circ\)Angle between the ground and the ladder. If the bottom of the ladder is 30 feet away from the wall, how long is the ladder?

A. 30 feet

B. 40 feet

C. 50 feet

D. 60 feet

E. 120 feet

16- If \(f(x)= 2x^3+5x^2+2x\) and\( g(x) = -2\), what is the value of \(f(g(x))\)?

A. 36

B. 32

C. 24

D. 4

E. 0

17- The diagonal of a rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle?

A. 10 inches

B. 12 inches

C. 16 inches

D. 18 inches

E. 28 inches

18- The perimeter of the trapezoid below is 36 cm. What is its area?

A. \(48 cm^2\)

B. \(70 cm^2\)

C. \(140 cm^2\)

D. \(576 cm^2\)

E. \(986 cm^2\)

19- A card is drawn at random from a standard 52, card deck, what is the probability that the card is of Hearts? (The deck includes 13 of each suit clubs, diamonds, hearts, and spades)

A. \(\frac{1}{3}\)

B. \(\frac{1}{4}\)

C. \(\frac{1}{6}\)

D. \(\frac{1}{52}\)

E. \(\frac{1}{104}\)

20- Which of the following shows the numbers in ascending order (least to greatest)?
\(\frac{2}{3}, 0.68, 67\%,\frac{4}{5} \)

A. \(67\%, 0.68, 2/3, 4/5\)

B. \(67\%, 0.68, 4/5, 2/3\)

C. \(0.68, 67\%, 2/3, 4/5\)

D. \(2/3, 67\%, 0.68, 4/5\)

E. \(2/3, 67\%, 4/5, 0.68\)

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Answers:

2- E
\(2.5\%\) of \(1,200 = 0.025 × 1200 = 30\)

3- E
Use FOIL (First, Out, In, Last)
\((2x + 2y)(5x + 2y) = 10x^2+ 4xy + 10xy + 2y^2 = 10x^2+ 14xy + 4y^2\)

4- E
Use distributive property:
\(2x (4 + 2y) = 8x + 4xy = 4xy+ 8x\)

5- E
\(y = 4ab + 3b³\)
Plug in the values of a and b in the equation: \(a = 2 \)And \(b = 3\)
\(y = 4 (2) (3) + 3 (3)3 = 24 + 3(27) = 24 + 81 = 105\)

6- C
\(11 × 36 + 6 × 12 + 4 = 472\)

7- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2: x = 44\)

8- D
To find the discount, multiply the number by \((100\% – rate of discount)\).
Therefore, for the first discount we get: \((200) (100\% – 15\%) = (200) (0.85) = 170\)
For the next \(15 \%\) discount: \((200) (0.85) (0.85)\)

9- B
Plug in each pair of number in the equation:
A. \((2, 1): 2 (2) + 4 (1) = 8\)
B. \((–1, 3): 2 (–1) + 4 (3) = 10\)
C. \((–2, 2): 2 (–2) + 4 (2) = 4\)
D. \((2, 2): 2 (2) + 4 (2) = 12\)

10- E
Use PEMDAS (order of operation):
\(5 + 8 × (–2) – [4 + 22 ×5] ÷ 6 = 5 + 8 × (–2) – [4 + 110] ÷ 6 = 5 + 8 × (–2) – [114] ÷ 6 = 5 + (–16) – 19 = 5 + (–16) – 19 = –11 – 19 = –30\)

11- B
Use this formula: Percent of Change
\(\frac{New \space Value-Old \space Value}{Old \space Value}× 100 \%\)
\(\frac{16000-20000}{20000}× 100 \% = 20 \%\)
and
\(\frac{12800-16000}{16000}× 100 \% = 20 \%\)

12- D
If the length of the box is 27, then the width of the box is one third of it, 9, and the height of the box is 3 (one third of the width). The volume of the box is:
\(V = lwh = (27) (9) (3) = 729\)

13- D
Write the equation and solve for B:
\(0.60 A = 0.20 B\), divide both sides by 0.20, then you will have \(0.60/0.20 A = B\), therefore:
\(B = 3\) A, and B is 3 times of A or it’s \(300\%\) of A.

14- E
To find the number of possible outfit combinations, multiply number of options for each factor:
\(6 × 3 × 5 = 90\)

15- D
The relationship among all sides of special right triangle
30\(^\circ\)-60\(^\circ\)- 90\(^\circ\) is provided in this triangle:

In this triangle, the opposite side of 30\(^\circ\) angle is half of the hypotenuse.
Draw the shape of this question:
The latter is the hypotenuse. Therefore, the latter is 60 ft

16- E
\(g(x)=-2, then f(g(x))= f(-2)=2 (-2)^3+5(-2)^2+2(-2)= -16+20-4=0\)

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17- E
Let \(x\) be the width of the rectangle. Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(x^2 + 8^2 = 10^2 ⇒ x^2 + 64 = 100 ⇒ x^2 = 100 – 64 = 36 ⇒ x = 6\)
Perimeter of the rectangle \(= 2 (length + width) = 2 (8 + 6) = 2 (14) = 28\)

18- B
The perimeter of the trapezoid is 36.
Therefore, the missing side (height) is \(= 36 – 8 – 12 – 6 = 10\)
Area of a trapezoid: \(A = \frac{1}{2}h (b_{1} + b_{2}) = \frac{1}{2} (10) (6 + 8) = 70\)

19- B
The probability of choosing a Hearts is \(13/52 = 1/4\)

20- D
Change the numbers to decimal and then compare.
\(\frac{2}{3}= 0.666…\)
0.68
\(67% = 0.67\)
\(\frac{4}{5} = 0.80\)

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Recommended EffortlessMath Books

If you want a complete prep workbook to study alongside this practice test, the HiSET Math for Beginners (resource currently unavailable) walks through every topic with worked examples. For full prep with multiple practice tests, see the HiSET Math Test Prep Bundle.

How the 55 HiSET Math Questions Break Down

The official test outline splits the math subtest into four content categories. Here is roughly how many questions that means on a 55-question test, and what to review for each.

Algebra is close to half the test, so if your study time is short, spend most of it there.

Pacing for 90 minutes

With 90 minutes for 55 questions, you have about 1 minute 38 seconds per question. A simple check: you should be near question 28 when 45 minutes have passed. If a question is taking more than two minutes, pick your best guess, mark it, and come back if time allows. Every question is worth answering, because a blank can’t earn a point.

Frequently Asked Questions

Is there a free HiSET math practice test?

Yes. You can take a free, full-length timed HiSET math practice test with 55 questions in 90 minutes and step-by-step explanations. The official HiSET program also offers free practice tests, though those are half length, about 25 math questions in 45 minutes. Use the full-length version to build stamina and the official one to check your content readiness.

What is on the HiSET math test?

The HiSET Mathematics subtest has 55 multiple-choice questions in 90 minutes. About 45% are algebraic concepts, and the rest cover numbers and operations, measurement and geometry, and data analysis, probability and statistics. Expect linear equations, functions, percents, area and volume, and reading graphs, with a formula sheet provided.

What calculator can you use on the HiSET?

On the computer-based HiSET, an on-screen TI-30XS scientific calculator is available during the math subtest. For the paper-based test, you bring an approved scientific calculator, so check the official HiSET calculator policy first. Practice with the TI-30XS before test day, since learning its keys during the exam wastes time.

Is there a HiSET math practice test PDF?

The official HiSET website offers free practice materials, including practice tests you can download. A printed test is useful for working out problems by hand, but if you are taking the computer-based exam, also practice on screen with the timer running, since pacing at about 1 minute 38 seconds per question is part of the challenge.

What score do you need to pass the HiSET math practice test?

On the real HiSET, you need a scaled score of at least 8 out of 20 on the math subtest, plus a total of at least 45 across all five subtests. A practice test that reports a HiSET-style score shows how close you are. If you score below 8, focus first on algebraic concepts, since they make up nearly half the questions.

What kinds of questions are on a HiSET practice test?

HiSET math practice questions are multiple choice and mirror the real test: solving equations and inequalities, working with functions and graphs, percent and ratio word problems, area and volume, and probability and statistics. After each practice set, read the worked answers for every miss so you understand the method, not just the right letter.

Related EffortlessMath Lessons

If a topic on this practice test feels rusty, these short lessons go deeper:

• HiSET Math Formula Cheat Sheet
• Answers and explanations for this test
• 10 expert tips for HiSET Math
• How to use the Pythagorean theorem
• Order of operations (PEMDAS)