FREE 7th Grade STAAR Math Practice Test

1- What is the slope of a line that is perpendicular to the line \(4x-2y=12\)?

A. \(-\frac{1}{2}\)

B. \(-2\)

C. \(\frac{1}{2}\)

D. \(2\)

2- Simplify \(5(x-2y)+(2-x)^2\) when \(x=3\) and \(y=-2\).

A. \(12\)

B. \(24\)

C. \(36\)

D. \(40\)

3- The average of 50 numbers is 88. If a 94 is replaced by a 69, what is the new average?

A. \(85\)

B. \(86.5\)

C. \(87.5\)

D. \(88\)

4- The width of a rectangular box is one-third of its length, and 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\(^3\)

5- In five successive hours, a car travels 40 km, 45 km, 50 km, 35 km, and 55 km. For the next five hours, it travels at an average speed of 50 km per hour. Find the total distance the car traveled in 10 hours.

A. 425 km

B. 450 km

C. 475 km

D. 500 km

6- The ratio of boys to girls in a school is 2:3. If there are 600 students in a school, how many boys are in the school?____________

7- The perimeter of the trapezoid below is 54 cm. What is its area? _________

8- In 1999, the average worker’s income increased by \($2,000\) per year starting from \($24,000\) annual salary. Which equation represents income more than \(I\), of a worker after \(x\) years of working since 1999?

A. \(I > 2000 x + 24000\)

B. \(I > -2000 x + 24000\)

C. \(I < -2000 x + 24000\)

D. \(I < 2000 x – 24000\)

9- Which of the following graphs represents the compound inequality?

A. graph 1

B. graph 2

C. graph 3

D. graph 4

10- A football team had $20,000 to spend on supplies. The team spent $14,000 on new balls. New sports shoes cost $120 each. Which of the following inequalities represents how many new shoes the team can purchase?

A. \( 120x+14,000 ≤20,000 \)

B. \(120x+14,000 ≥20,000\)

C. \(14,000x+12,0 ≤20,000 \)

D. \( 14,000x+12,0 ≥20,000 \)

11- Two dice are thrown simultaneously, what is the probability of getting a sum of 6 or 9?

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

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

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

D. \(\frac{11}{36}\)

12- A swimming pool holds 2,000 cubic feet of water. The swimming pool is 25 feet long and 10 feet wide. How deep is the swimming pool? __________

13- Which graph corresponds to the following inequalities?
\(y≤ x + 4\)
\(2x + y ≤ – 4\)

A.

B.

C.

D.

14- A bank is offering \(4.5\%\) simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years?

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A. $360

B. $720

C. $1800

D. $3600

15- 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. \(\frac{1}{52}\)

16- How long does a 420–mile trip take moving at 50 miles per hour (mph)?

A. 4 hours

B. 6 hours and 24 minutes

C. 8 hours and 24 minutes

D. 8 hours and 30 minutes

17- 11 yards 6 feet and 4 inches equal to how many inches?

A. 388

B. 468

C. 472

D. 476

18- 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. \((200) (0.85) (0.85)\)

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

A. \((2, 1)\)

B. \((–1, 3)\)

C. \((–2, 2)\)

D. \((2, 2)\)

20- \(5 + 8 × (–2) – [4 + 22 ×5] ÷ 6 = \)?

A. \(-30\)

B. \(-20\)

C. \(-10\)

D. 0

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Answers:

2- C
Simplify: \(5(x-2y)+(2-x)^2 = (5x-10y)+(4-4x+x^2) = x -10y +4 +x^2\)
When \(x=3\) and \(y=-2\),therefore:
\(x -10y +4 +x^2 =3+20+4+9 =36\)

3- C
\(average (mean) = \frac{sum \space of \space terms }{number \space of \space terms}⇒ 88 = \frac{sum \space of \space terms}{50}⇒ sum = 88 × 50 = 4400\)
The difference of 94 and 69 is 25. Therefore, 25 should be subtracted from the sum.
\(4400 – 25 = 4375\)
\(mean =\frac{sum \space of \space terms}{number \space of \space terms}⇒ mean = \frac{4375 }{50}= 87.5\)

4- D
If the length of the box is 27, then the box’s width 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:
\(V = l.w.h = (27) (9) (3) = 729\)

5- C
Add the first 5 numbers. \(40 + 45 + 50 + 35 + 55 = 225\)
To find the distance traveled in the next 5 hours, multiply the average by number of hours.
\(Distance = Average × Rate = 50 × 5 = 250\)
Add both numbers.
\(250 + 225 = 475\)

6- 240
The ratio of boys to girls is 2:3. Therefore, there are 2 boys out of 5 students. To find the answer, first, divide the total number of students by 5, then multiply the result by 2.
\(600 ÷ 5 = 120 ⇒ 120 × 2 = 240\)

7- 130
The perimeter of the trapezoid is 54 cm.
Therefore, the missing side (high) is \(= 54 – 18 – 12 – 14 = 10\)
Area of a trapezoid:
\( A = \frac{1}{2}h (b_1 + b_2) = \frac{1}{2}(10) (12 + 14) = 130\)

8- A
Let \(x\) be the number of years. Therefore, $2,000 per year equals 2000\(x\).
starting from $24,000 annual salary means you should add that amount to 2000\(x\).
Income more than that is:
\(I > 2000x + 24000\)

9- 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.

10- A
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase 120 \(x\).
The team had $20,000 and spent $14000. Now the team can spend on new shoes $6000 at most.
Now, write the inequality:
\(120x+14.000 ≤20.000\)

11- B
For Sum 6: (1 & 5) and (5 & 1), (2 & 4) and (4 & 2), (3 & 3), so we have 5 options.
For sum 9: (3 & 6) and (6 & 3), (4 & 5) and (5 & 4), we have 4 options.
To get a sum of 6 or 9 for two dice: \(5+4=9\)
Since we have \(6 × 6 = 36\) total options, the probability of getting a sum of 6 and 9 is 9 out of 36 or \(\frac{1}{4}\).

12- 8
Use formula of rectangle prism volume.
\(V = (length) (width) (height) ⇒ 2000 = (25) (10) (height)\)
\( ⇒ height = 2000 ÷ 250 = 8\)

13- A
For each option, choose a point in the solution part and check it on both inequalities.
A. Point \((–4, –4)\) is in the solution section. Let’s check the point in both inequalities.
\(-4 ≤ – 4 + 4, \space It \space works\)
\(2 (–4) + (–4) ≤ –4 ⇒ – 12 ≤ – 4\) it works (this point works in both)
B. Let’s choose this point \((0, 0)\)
\(0 ≤ 0 + 4, \space It \space works\)
\(2 (0) + (0) ≤ –4, \space \space That’s \space not \space true!\)
C. Let’s choose this point \((–5, 0)\)
\(0 ≤ -5 + 4, \space That’s \space not \space true!\)
D. Let’s choose this point \((0, 5)\)
\(5 ≤ 0 + 4, \space That’s \space not \space true!\)

14- C
Use simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
\(I=(8000)(0.045)(5)=1800\)

15- B
The probability of choosing a Hearts is \(\frac{13}{52}=\frac{1}{4}\)

16- C
Use distance formula:
\(Distance = Rate × time ⇒ 420 = 50 × T\)
divide both sides by 50.
\(\frac{420}{50} = T ⇒ T = 8.4 \space hours\)
Change hours to minutes for the decimal part.
\(0.4 \space hours = 0.4 × 60 = 24 \space minutes\)

17- C
\(11 × 36 + 6 × 12 + 4 = 472\)

18- 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: \((200) (0.85) (0.85)\)

19- B
Input \((-1, 3)\) in the \(2x + 4y = 10\) formula instead of \(x\) and y. So we have:
\( 2(-1) + 4(3) = 10\)
\(-2 + 12 = 10\)

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

Looking for the best resource to help you succeed on the Grade 7 STAAR Math test?

The Best Books to Ace the 7th Grade STAAR Math Test

Recommended EffortlessMath Books

For a STAAR-focused workbook to use alongside this test, the STAAR Grade 7 Math for Beginners walks through every TEKS topic with worked examples. For more grade-7 STAAR-format practice, see the 10 Full-Length STAAR Grade 7 Math Practice Tests.

Frequently Asked Questions

How many questions are on the 7th Grade STAAR Math test?

The operational STAAR Grade 7 Math test has 32 questions — about 28 multiple-choice and 4 griddable (numeric entry). This free practice gives your student 20 sample questions that cover the same TEKS topics in a shorter sitting.

Is a calculator allowed on the 7th Grade STAAR Math?

No. TEA does NOT provide a calculator for grade 7 STAAR Math — only grades 8 and Algebra I get one. Grade 7 students get the official STAAR math reference sheet (formulas for area, volume, slope) and have to do all arithmetic by hand.

How long is the 7th Grade STAAR Math test?

The state allows up to 4 hours (240 minutes) for the test. Most students finish in 2-3 hours. There’s no penalty for finishing early, but rushing usually costs more points than going slow and double-checking work.

How is the STAAR Grade 7 Math scored?

Each student gets a scale score and a performance level: Did Not Meet, Approaches, Meets, or Masters. Texas targets Meets Grade Level or higher as the proficiency standard. The scale score is also reported on a vertical scale to track year-over-year growth.

What topics are on the 7th Grade STAAR Math?

Number and operations (rational number arithmetic), proportionality (ratios, percents, scale, probability), expressions/equations/relationships (one-variable equations and inequalities, two-variable relationships), and geometry/measurement (circumference, area of composite figures, surface area, volume).

Can my student retake the STAAR Grade 7 Math?

The STAAR is given once per spring at grade 7. There’s no individual retake within the year. If your student misses the original date due to absence, a state-approved make-up day is scheduled within the testing window.

How long should we study for the 7th Grade STAAR Math?

If grades have been strong all year, 4-5 weeks of practice (20-25 minutes a day) is usually plenty. If math has been shaky, plan 8-10 weeks at 30 minutes per day. Take this practice test first so you can target the weakest TEKS.

What’s the STAAR math reference sheet for grade 7?

It’s a single page that includes the formulas for area of a circle, area of a trapezoid, circumference of a circle, volume of a rectangular prism, the Pythagorean theorem, and the metric/customary measurement conversions. Your student gets a fresh copy on test day — practice using it.

Is the STAAR aligned to Common Core?

No. Texas never adopted the Common Core. The STAAR is aligned to the Texas Essential Knowledge and Skills (TEKS). The grade 7 math content overlaps heavily with CCSS but is sequenced differently — Texas teaches some topics earlier and others later than Common Core states.

Where can I find more 7th Grade STAAR Math practice?

EffortlessMath has step-by-step lessons for every grade 7 TEKS, plus the grade 7 math exercise book and a bundle with multiple full-length STAAR-format practice tests.

Related EffortlessMath Lessons

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

• Add and subtract rational numbers
• Solve ratio and proportion problems
• How to solve linear equations
• Area and perimeter
• Order of operations (PEMDAS)