FREE TASC Math Practice Test

For this practice test, we’ve selected 20 real questions from past exams for your TASC Practice test. You will have the chance to try out the most common TASC Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free TASC Math practice tests and study resources (updated for 2026) to ace the TASC Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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TASC Math for Beginners 2026 The Ultimate Step by Step Guide to Preparing for the TASC Math Test

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1- If \(3x – 5 = 8.5\), what is the value of \(5x + 3\)? __________

2- The two legs of an isosceles right triangle each measure \(4\) units. What is the area of the triangle, in square units? __________

3- The perimeter of a trapezoid is \(50\). Three of its sides measure \(18\), \(12\), and \(14\); the fourth side is the height. What is the area of the trapezoid? __________

4- \(1.75\) is what percent of \(1.40\)? __________

5- Evaluate \(-18 + 6 \times (-5) – [4 + 22 \times (-4)] \div 2 + 8\). __________

6- In a \(30^\circ\)-\(60^\circ\)-\(90^\circ\) right triangle, the side opposite the \(30^\circ\) angle measures \(30\) feet. What is the length of the hypotenuse, in feet? __________

7- The volume of a cube equals one-half its surface area. What is the length of one edge of the cube? __________

8- If \(f(x) = x^2 – 3x\), what is the value of \(f(5)\)? __________

9- Given \(\frac{x – 3}{5} = N\), what is the value of \(x\) when \(N = 6\)? __________

10- If the ratio of \(5a\) to \(2b\) is \(\frac{1}{4}\), what is the ratio of \(a\) to \(b\)? __________

11- A construction company is building a wall. The company can build \(30\) cm of the wall per minute. After \(50\) minutes \(\frac{3}{4}\) of the wall is completed. How many meters is the wall? __________

12- The average of \(13,15,20\) and \(x\) is \(20\). What is the value of \(x\)? __________

13- In the figure below, what is the value of \(x\)?
\(\)

A. 43

B. 67

C. 77

D. 90

14- Simplify.
\((8x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 )\)

A. \(4x^4+6x^3-12x^2\)

B. \(4x^3-12x^2\)

C. \(4x^4+4x^3-12x^2\)

D. \(8x^3-12x^2\)

15- In two successive years, the population of a town is increased by \(15\%\) and \(20\%\). What percent of the population is increased after two years?

A. \(32\%\)

B. \(35\%\)

C. \(38\%\)

D. \(68\%\)

16- Which of the following answers represents the compound inequality \(-2≤2x-4<8\)?

A. \( 2 < x < 4\)

B. \(2≤x≤4\)

C. \(1 < x ≤ 6\)

D. \(1≤x<6\)

17- What is the volume of a box with the following dimensions?
Hight = \(4\) cm Width = \(5\) cm Length = \(6\) cm

A. \(15\) cm \(^3\)

B. \(60\) cm \(^3\)

C. \(90\) cm \(^3\)

D. \(120\) cm \(^3\)

18- Mr. Carlos’s family is choosing a menu for their reception. They have \(6\) choices of appetizers, \(5\) choices of entrees, \(4\) choices of cake. How many different menu combinations are possible for them to choose from?

A. 12

B. 32

C. 120

D. 150

19- In a stadium, the ratio of home fans to visiting fans in a crowd is \(5:7\). Which of the following could be the total number of fans in the stadium?

A. 12,324

B. 42,326

C. 44,566

D. 66,812

20- Last week \(24,000\) fans attended a football match. This week three times as many bought tickets, but one-sixth of them canceled their tickets. How many are attending this week?

A. 48,000

B. 54,000

C. 60,000

D. 72,000

Best TASC Math Prep Resource for 2026

Answers:

2- 8
First, draw an isosceles triangle. Remember that the two sides of the triangle are equal. Let put a for the legs. Then:
\(a=4⇒\) area of the triangle is \(=\frac{1}{2} (4×4)=\frac{16}{2}=8\)
\(\)

3- 78
The perimeter of the trapezoid is \(50\).
Therefore, the missing side (height) is \(= 50-18-12-14 =6\)
Area of a trapezoid:
A \(= \frac{1}{2} h (b_{1}+b_{2}) = \frac{1}{2} (6) (12+14) =78\)

4- 125
The question is this: \(1.75\) is what percent of \(1.40\)? Use percent formula:
part\(=\frac{percent}{100}×\)whole\(⇒1.75=\frac{percent}{100}×1.40 ⇒ 1.75=\frac{percent ×1.40}{100} ⇒175=\)percent\(×1.40 ⇒\) percent \(= \frac{175}{1.40} = 125\)

5- 2
Use PEMDAS (order of operation):
\(-18+6×(-5)-[4+22×(-4)]÷2+8=-18-30-[4-88]÷2+8=-48-[-84]÷2+8=-48+84÷2+8=-48+42+8=2\)

6- 60
The relationship among all sides of a 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 for this question:
The latter is the hypotenuse. Therefore, the latter is \(60\) ft.
\(\)

7- 3
Let \(x\) be the length of an edge of a cube, then the volume of a cube is: \(V=x^3 \)
The surface area of a cube is: \(SA=6x^2\)
The volume of cube A is \(\frac{1}{2}\) of its surface area. Then: \(x^3=\frac{6x^2}{2}→x^3=3x^2\), divide both side of the equation by \(x^2\). Then: \(\frac{x^3}{x^2} =\frac{3x^2}{x^2} →x=3\)

8- 10
The input value is \(5\). Then: \(x=5, f(x)=x^2-3x→ f(5)=5^2-3(5)=25-15=10\)

9- 33
Since \(N=6\), substitute \(6\) for N in the equation \(\frac{x-3}{5}=N\), which gives \(\frac{x-3}{5}=6\). Multiplying both sides of \(\frac{x-3}{5}=6\) by \(5\) gives \(x-3=30\) and then adding \(3\) to both sides of \(x-3=30\) then, \(x=33\).

10- 0.1
Write the ratio of \(5a\) to \(2b. \frac{5a}{2b}=\frac{1}{4}\). Use cross multiplication and then simplify. \(5a×4=2b×1→20a=2b→a=\frac{2b}{20}=\frac{b}{10}\). Now, find the ratio of a to \(b\). \(\frac{a}{b}=\frac{\frac{b}{10}}{b}→\frac{b}{10}÷b=\frac{b}{10}×\frac{1}{b}=\frac{b}{10b}=\frac{1}{10}=0.1\)

11- 20
The rate of construction company\(=\frac{30 \ cm}{1 \ min}=30 \ \frac{cm}{min }\)
Height of the wall after \(50\) minutes \(= \frac{30 \ cm}{1 \ min}×50\) min\(=1,500\) cm
Let \(x\) be the height of wall, then \(\frac{3}{4} x=1,500\) cm \(→x=\frac{4×1,500}{3}→x=2,000\) cm\(=20\) m

12- 32
average\(=\frac{sum \ of \ terms}{number \ of \ terms}⇒ 20=\frac{13+15+20+x}{4}⇒80=48+x⇒x=32\)

13- B
\(α=180^\circ-112^\circ=68^\circ\)
\(β=180^\circ-135^\circ=45^\circ\)
\(x+α+β=180^\circ→x=180^\circ-68^\circ-45^\circ=67^\circ\)
\(\)

14- A
Simplify and combine like terms.
\((8x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 ) ⇒ (8x^3-8x^2+2x^4 )-4x^2+2x^4-2x^3⇒\)
\(4x^4+6x^3-12x^2\)

15- C
The population is increased by \(15\%\) and \(20\%. 15\% \)increase changes the population to \(115\%\) of original population. For the second increase, multiply the result by \(120\%\).
\((1.15)×(1.20)=1.38=138\%\). \(38\) percent of the population is increased after two years.

16- D
Solve for \(x\).
\(-2≤2x-4<8 ⇒\) (add \(4\) all sides) \(-2+4≤2x-4+4<8+4 ⇒ \)
\(2≤2x<12 ⇒\) (divide all sides by \(2) 1≤x<6, x\) is between \(1\) and \(6\). Choice D represent this inequality.

17- D
Volume of a box\(=\)length\(×\)width\(×\)height\(=4×5×6=120\)

18- C
To find the number of possible outfit combinations, multiply the number of options for each factor: \(6×5×4=120\)

19- A
In the stadium, the ratio of home fans to visiting fans in a crowd is \(5:7\). Therefore, the total number of fans must be divisible by \(12: 5+7 =12\).
Let’s review the choices:
A. \(12,324: 12,324÷12=1,027\)
B. \(42,326 : 42,326÷12=3,527.166\)
C. \(44,566 : 44,566÷12=3,713.833\)
D. \(66,812 : 66,812÷12=5,567.666\)
Only choice A, when divided by \(12\), results in a whole number.

20- C
Three times of \(24,000\) is \(72,000\). One sixth of them cancelled their tickets. One sixth of \(72,000\) equals \(12,000 (\frac{1}{6} ×72000 =12000). 60,000(72,000-12,000=60,000) \) fans are attending this week.

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Recommended EffortlessMath Books

For a structured workbook to study alongside this practice test, the TASC Math for Beginners covers every test topic with worked examples. For full prep with timed practice tests, see the TASC Math Test Prep Bundle.

Frequently Asked Questions

How many questions are on the TASC Math test?

About 52 questions total: 12 in Session 1 (calculator-free, 55 minutes) and 40 in Session 2 (calculator-allowed, 50 minutes). Most are multiple choice with a few constructed-response items asking for a typed numeric answer.

Is a calculator allowed on the TASC?

Yes — in Session 2 only. Session 1 is calculator-free. Session 2 provides an on-screen TI-30XS scientific calculator. You cannot bring your own calculator.

What score do I need to pass TASC Math?

500 on the 300-800 scale. To pass the overall TASC, you also need a 500 on each of the four other subjects (reading, writing, science, social studies) with a 2 out of 8 on the writing essay.

Is the TASC still being offered?

It depends on your state. Several states have retired TASC and switched to HiSET or GED, while others still administer TASC. Confirm with your state’s high school equivalency office before committing to TASC prep.

How long is the TASC Math test?

105 minutes total: 55 minutes for Session 1 (12 questions) plus 50 minutes for Session 2 (40 questions). Plan to pace yourself differently across the two sessions — Session 1 is intentionally more concept-checking, Session 2 is computational.

What math topics does the TASC cover?

Numbers and quantity (15%), algebra and functions (50% combined), geometry (20%), and statistics and probability (15%). Roughly aligned with Common Core high school standards. Algebra is the biggest single content area, so prioritize that in your prep.

How is the TASC Math scored?

Raw scores convert to a 300-800 scaled score through the official equating formula. 500 is passing. The score report breaks down your performance by content area so you know where to focus if you need to retake.

Can I retake the TASC Math?

Yes. Most states allow three attempts per year. Some require a 60-day waiting period between retakes. Your passing scores on other TASC subjects carry over, so you only retake the math section if that’s where you fell short.

How long should I study for the TASC Math?

Most adult learners need 6 to 12 weeks of consistent study at 30-60 minutes per day. If you’ve been out of school for a while, lean toward the longer end and front-load algebra since it carries the most weight.

What’s the difference between TASC and HiSET Math?

Both test similar topics. TASC has a calculator-free Session 1 (12 questions in 55 min) plus a calculator-allowed Session 2 (40 questions in 50 min). HiSET allows the calculator on the full 50-question, 90-minute session. HiSET also provides a formula sheet; TASC’s formula reference is on-screen.

Related EffortlessMath Lessons

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

• TASC Math Formula Cheat Sheet
• How to find the slope of a line
• How to use the Pythagorean theorem
• Order of operations (PEMDAS)
• Rules of exponents