Full-Length 7th Grade FSA Math Practice Test

Full-Length 7th Grade FSA Math Practice Test is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

B. 4

C. 6

D. 8

3- If \(40\%\) of a class are girls, and \(25\%\) of girls play tennis, what fraction of the class play tennis?

A. 18

B. 110

C. 120

D. 125

4- A boat sails 30 miles south and then 40 miles east. How far is the boat from its start point?

A. 30 miles

B. 40 miles

C. 50 miles

D. 60 miles

5- You can buy 12 cans of green beans at a supermarket for $7.40. How much does it cost to buy 30 cans of green beans?

A. $18.50

B. $24.20

C. $26.00

D. $34.00

6- What is the volume of the following square pyramid?

A. \(460 \space m^3\)

B. \(520 \space m^3\)

C. \(750 \space m^3\)

D. \(960 \space m^3\)

7- At a party, 6 soft drinks are required for every 8 guests. If there are 240 guests, how many soft drinks are required?

A. 38

B. 146

C. 180

D. 200

8- From last year, the price of gasoline has increased from $1.4 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(20\%\)

B. \(25\%\)

C. \(30\%\)

D. \(35\%\)

9- \([8×(-14)+15]-(10)+[4×6]÷3=\)?

10- Simplify \(5x^2 y(2xy^3)^4=\)

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A. \(40x^3 y^{12}\)

B. \(16x^5 y^{24}\)

C. \(40x^6 y^{12}\)

D. \(80x^6 y^{13}\)

Session 2

Scientific Calculators are permitted for Session 2.
Time for Session 2: 60 Minutes

11- Jason is 14 miles ahead of Joe running at 6 miles per hour and Joe is running at the speed of 8 miles per hour. How long does it take Joe to catch Jason?

A. 3 hours

B. 5 hours

C. 7 hours

D. 9 hours

12- 9 less than five times a positive integer is 101. What is the integer?

A. 22

B. 36

C. 32

D.  44

13- Last week 18,000 fans bought tickets. This week 2.5 times as many bought tickets, but one-fifth of them canceled their tickets. How many are attending this week?

A. 20,000

B. 22,000

C. 32,000

D. 36,000

14- What is the median of these numbers? \(25,12,13,18,22,36,22\)

A. 12

B. 20

C. 22

D. 26

15- Sophia purchased a sofa for $615.00. The sofa is regularly priced at $820. What was the percent discount Sophia received on the sofa?

A. \(8\%\)

B. \(12\%\)

C. \(18\%\)

D. \(25\%\)

16- Robert is preparing to run a marathon. He runs \(4 \frac{1}{3}\) miles on Saturday and twice that many on Monday and Wednesday. Robert wants to run a total of 35 miles this week. How many more miles does he need to run?

17- What is the area of the shaded region?

A. \(10π \space cm^2\)

B. \(20π \space cm^2\)

C. \(25π \space cm^2\)

D. \(30π \space cm^2\)

18- Right triangle ABC has two shorter legs of lengths 12 cm (AB) and 5 cm (AC). What is the length of the third side (BC)?

A. 13 cm

B. 14 cm

C. 15 cm

D. 16 cm

19- Four times the price of a laptop is equal to seven times the price of a computer. If the price of the laptop is $240 more than a computer, what is the price of the computer?

A. $320

B. $400

C. $420

D. $960

20- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(62\%\), \(73\%\), \(82\%\), and \(88\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

Session 3

Scientific Calculators are permitted for Session 3.
Time for Session 3: 60 Minutes

21- The price of a laptop is decreased by \(15\%\) to $425. What is its original price?

A. $475

B. $500

C. $575

D. $600

22- A rope weighs 450 grams per meter in length. What is the weight in kilograms of 12 meters of this rope? (1 kilograms = 1,000 grams)

A. 0.0540 kilograms

B. 0.540 kilograms

C. 5.4 kilograms

D. 54.00 kilograms

23- If \(?=− 3\), which equation is true?

A. \(?(2?−4)=−52\)

B. \(8(7−?)=14\)

C. \(x(3?−2)=79\)

D. \((4?−2)?=42\)

24- Joe scored 24 out of 32 marks in Algebra, 28 out of 40 marks in Science, and 72 out of 90 marks in Mathematics. In which subject is his percentage of marks best?

A. Algebra

B. Science

C. Mathematics

D. Algebra and Science

25- The marked price of a computer is? dollar. Its price decreased by \(25\%\) in January and later increased by \(15\%\) in February. What is the final price percent of the computer in? dollar?

A. 78.55?

B. 82.25?

C. 86.25?

D. 90.50?

26- What is the median of these numbers? \(42,21,15,28,43,34,26\)

A. 15

B. 28

C. 34

D. 42

27- John traveled 210 km in 7 hours, and Alice traveled 160 km in 5 hours. What is the ratio of the average speed of John to the average speed of Alice?

A. 13 ∶ 12

B. 22 ∶ 23

C. 15 ∶ 16

D. 15 ∶ 18

28- A $56 shirt now selling for $42 is discounted by what percent?

A. \(15\%\)

B. \(18\%\)

C. \(20\%\)

D. \(25\%\)

29- The area of a circle is 121π. What is the circumference of the circle?

A. 7π

B. 14π

C. 22π

D. 24π

30- In a bag of small balls, \(\frac{1}{2}\) are black, \(\frac{1}{5}\) are white, \(\frac{1}{10}\) are red and the remaining 12 are blue. How many balls are white?

A. 8

B. 12

C. 16

D. 24

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Answers and Explanations

FSA or FAST: Which Test Do Florida 7th Graders Take?

Florida no longer gives the FSA (Florida Standards Assessments) in grade 7 math. Since the 2022-2023 school year, students take the FAST, the Florida Assessment of Student Thinking. FAST math is aligned to Florida’s B.E.S.T. Standards and is given three times a year as progress monitoring, so teachers can see growth during the year.

Is FSA practice still useful? Yes, for skills. Ratios and proportions, percents, operations with negative numbers, equations and geometry are still central to grade 7 math. Use this test to find weak spots, then practice those topics. Just keep in mind that question styles and topic order on FAST can differ from the older FSA.

Worked Solutions to Sample Questions

Party drinks (Question 7): 6 drinks for every 8 guests, with 240 guests. 240 ÷ 8 = 30 groups of guests, and 30 × 6 = 180 drinks.

Tennis players (Question 3): 40% of the class are girls, and 25% of the girls play tennis. 0.40 × 0.25 = 0.10, so 1/10 of the class plays tennis.

Green beans (Question 5): 12 cans cost $7.40. Thirty cans is 2.5 times as many, so the cost is 2.5 × $7.40 = $18.50.

Catching up (Question 11): Joe gains 8 − 6 = 2 miles each hour. To close a 14-mile gap: 14 ÷ 2 = 7 hours.

Ticket sales (Question 13): 2.5 × 18,000 = 45,000 tickets. One-fifth cancel, so 4/5 remain: 45,000 × 4/5 = 36,000 people.

Bag of balls (Question 30): 1/2 + 1/5 + 1/10 = 5/10 + 2/10 + 1/10 = 8/10. The 12 blue balls are the other 2/10, or 1/5, so the bag has 60 balls. White balls: 1/5 × 60 = 12.

Frequently Asked Questions

Is the FSA still given in Florida?

No. Florida replaced the FSA in English language arts and math with the FAST (Florida Assessment of Student Thinking), starting in the 2022-2023 school year. FAST math in grades 3 to 8 is aligned to the B.E.S.T. Standards and is given three times a year. Older FSA practice tests are still useful for practicing grade 7 skills.

What is on the 7th grade Florida math test?

Grade 7 math in Florida focuses on proportional relationships and percents, operations with rational numbers including negatives, writing and solving equations and inequalities, geometry such as circles, angles, area and volume, and data and probability. This practice test covers most of these topics in 30 questions.

Can I use a calculator on this practice test?

Use a calculator only where the test allows it. On this page, scientific calculators are permitted for Session 2 and Session 3. Work Session 1 by hand, as you would on a non-calculator section. Practicing without a calculator builds the number sense you need for fractions, percents and negative numbers.

How should I use a grade 7 practice test?

Take it in one quiet sitting per session and time yourself. Then check every answer, including the ones you got right by guessing. Sort your mistakes by topic, such as percents or equations, and practice the weakest topic first. Retake the missed questions a few days later to see if the fix stuck.