Top 10 6th Grade FSA Math Practice Questions

1- Which of the following is equivalent to \(5(12x-16)\)?

A.

B.

C.

D.

2- Which of the following ratios is equivalent to \(91:21\)?

A. \(13:3\)

B. \(13:7\)

C. \(7:3\)

D. \(21:13\)

3- Solve for \(x\): \(-60 = 115 – x\)

A. \(175\)

B. \(-175\)

C. \(55\)

D. \(-55\)

4- Solve the compound inequality \(-8 \leq 5x-8 < 2\) for \(x\).

A. \(-2 \leq x < 0\)

B. \(0 \leq x < 2\)

C. \(0 < x \leq 2\)

D. \(-2 < x \leq 2\)

5- The ratio of boys to girls in a school is 4:5. If there are 765 students in the school, how many boys are in the school?

A. 612

B. 510

C. 425

D. 340

6- Martin earns $20 an hour. Which of the following inequalities represents the amount of time Martin needs to work per day to earn at least $100 per day?

A. \(20t≥100\)

B. \(20t≤100\)

C. \(20+t≥100\)

D. \(20+t≤100\)

7- \((55+5)÷12\) is equivalent to …

A. \(60÷3.4\)

B. \( \frac{55}{12}+5\)

C. \((2×2×3×5)÷(3×4)\)

D. \( (2×2×3×5)÷3+4\)

8- What is the value of the expression \(6(2x-3y)+(3-2x)^2\), when \(x=2 \) and \(y=-1\)?

A. \(-23\)

B. 41

C. 43

D. 49

9- Round \(\frac{215}{7}\) to the nearest tenth.

A. 31

B. 30.8

C. 30.7

D. 30

10- A chemical solution contains \(6\%\) alcohol. If there is 45 ml of alcohol, what is the volume of the solution?

A. 270 ml

B. 420 ml

C. 750 ml

D. 1,200 ml

Answers:

2- A
\(91: 21 = 13: 3\)
\(13×7=91\)
And \( 3×7=21\)

3- A
\(-60 = 115 – x\)
First, subtract 115 from both sides of the equation. Then:
\(-60 – 115=115 – 115- x→-175 = – x\)
Multiply both sides by \((-1)\):
\(→x = 175\)

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4- B
\(-8≤5x-8<2 →\) (add 8 all sides)\(-8+8≤5x-8+8<2+8 →0≤5x<10→\) (divide all sides by 5) \(0≤x<2\)

5- D
The ratio of boys to girls is 4:5. Therefore, there are 4 boys out of 9 students. To find the answer, first, divide the total number of students by 9, then multiply the result by 4.
\(765 ÷ 9 = 85 ⇒ 85 × 4 = 340\)

6- A
For one hour he earns $20, then for t hours he earns $20t. If he wants to earn at least $100, therefore, the number of working hours multiplied by 20 must be equal to 100 or more than 100.
\(20t≥100\)

7- C
\((55+5)÷(12)=(60)÷(12)\)
The prime factorization of 60 is: \(2×2×3×5 \)
The prime factorization of 12 is: \( 3×4 \)
Therefore: \((60)÷(12)=(2×2×3×5)÷(3×4)\)

8- C

Plug in the value of \(x\) and \(y\) and use order of operations rule.
\(x=2\) and \(y=-1\)
\(6(2x-3y)+(3-2x)^2=6(2(2)-3(-1))+(3-2(2))^2=6(4+3)+(-1)^2 = 42+1=43\)

9- C
\(\frac{215}{7} ≅ 30.71 ≅ 30.7\)

10- C
\(6\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(6\% \space of \space x = 45 \space ml ⇒ 0.06 x = 45 ⇒ x = 45 ÷ 0.06 = 750\)

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Recommended EffortlessMath Books

For a workbook that pairs with this page, Mastering Grade 6 Math walks your sixth grader through every grade-6 topic with worked examples and plenty of practice. For more story-problem reps, Mastering Grade 6 Math Word Problems is the matching word-problem book.

Frequently Asked Questions

Is there an FSA grade 6 math practice test?

Florida no longer gives the FSA for grade 6 math. It was replaced by FAST (Florida Assessment of Student Thinking), which is aligned to the B.E.S.T. standards. Older FSA practice tests can still help with skills like ratios and fraction division, but for the current format use the FAST practice materials on the Florida Statewide Assessments portal so your child sees the real tools and question styles.

What kinds of questions are on the grade 6 FSA math practice test?

Grade 6 Florida math practice tests mix multiple-choice, multi-select, equation-entry and drag-and-drop items. Typical problems ask students to find equivalent ratios, solve equations like −60 = 115 − x (x = 175), work with percents, and find area on the coordinate plane. Many items are word problems, so practice reading carefully and deciding which operation fits before calculating.

Is there an answer key for the grade 6 FSA math practice test?

Yes, official Florida practice tests come with answer keys, and the FAST practice materials include them too. The key alone only tells you right or wrong, though. When your sixth grader misses a question, work through the full solution together, then redo the problem on a clean sheet two days later. For example, 4:5 boys to girls in a 765-student school means 765 ÷ 9 × 4 = 340 boys.

Is there a grade 6 FSA mathematics reference sheet?

Florida has provided reference sheets for some grade 6 math tests, but since the move from FSA to FAST the materials may have changed, so check the current grade 6 math reference sheet on the Florida Statewide Assessments portal. Practice with the same sheet your child will see, and still learn the key formulas, such as V = l × w × h for a rectangular prism.

Related EffortlessMath Lessons

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

• How to find the percent of a number
• How to solve percent of change
• How to add and subtract fractions
• How to multiply fractions
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