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 this the FSA or the FAST?

Florida replaced the FSA with the FAST (Florida Assessment of Student Thinking) – the new test launched in 2022-23 and is now Florida’s official grade-6 math assessment. The math content overlaps almost completely with the old FSA, so these 10 questions work for both. The big change is that FAST is given three times a year (PM1, PM2, PM3) instead of once.

What’s on the Florida Grade 6 math test?

Four reporting categories from the B.E.S.T. Standards: Number Sense and Operations, Algebraic Reasoning, Measurement and Geometric Reasoning, and Data Analysis and Probability. Big skills: ratios, fraction operations including division, percents, one-step and two-step equations, area of triangles and quadrilaterals, volume of rectangular prisms, and measures of center/spread.

How long is the FAST Grade 6 math test?

Each progress monitoring session (PM1, PM2, PM3) is about 1 hour 30 minutes with roughly 30 questions. So your child takes three shorter tests during the year instead of one long one. Most sixth graders finish each session in 45-60 minutes.

How do I find a percent of a number?

Convert the percent to a decimal and multiply. \(20\% \text{ of } 50 = 0.20 \times 50 = 10\). For Florida grade 6 questions, you’ll also see ratio-table reasoning: \(20\%\) is \(\dfrac{20}{100} = \dfrac{1}{5}\), and \(\dfrac{1}{5} \text{ of } 50 = 10\). Same answer, two paths.

How do I divide fractions on the FAST?

Keep, change, flip – then multiply. \(\dfrac{5}{6} \div \dfrac{2}{3} = \dfrac{5}{6} \times \dfrac{3}{2} = \dfrac{15}{12} = \dfrac{5}{4} = 1\dfrac{1}{4}\). Florida often asks fraction-division questions in story-problem form: “How many \(\dfrac{2}{3}\)-pound bags can you fill from 4 pounds?” \(4 \div \dfrac{2}{3} = 6\).

What absolute value questions show up?

Grade 6 is where absolute value enters Florida’s standards. Absolute value is the distance from zero on the number line: \(|{-7}| = 7\), \(|3| = 3\). Expect questions like “Which has the greater absolute value, \(-9\) or \(7\)?” Answer: \(-9\), because \(|{-9}| = 9 > 7\). It’s about magnitude, not sign.

What equations are on the test?

One-step equations (\(x + 7 = 15\), \(3x = 21\)) and a few two-step equations (\(2x + 5 = 17\)). To solve \(2x + 5 = 17\): subtract 5 from both sides (\(2x = 12\)), divide both sides by 2 (\(x = 6\)). Always do the same thing to both sides – that’s the one big rule.

How do I find volume of a rectangular prism with fractional edges?

Use the same formula: \(V = l \times w \times h\). For edges \(\dfrac{1}{2}\), \(\dfrac{1}{2}\), and \(\dfrac{3}{2}\): \(V = \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{3}{2} = \dfrac{3}{8}\) cubic unit. Multiply numerators, multiply denominators, simplify. Florida likes this question on the FAST.

How should we use these 10 questions for practice?

First, your child solves each one without help. Then go through the solutions together, focusing on WHY each step works. Two days later, redo any missed question from scratch. Because FAST is given three times a year, steady weekly practice helps far more than spring cramming.

Where can we get more Florida Grade 6 math practice?

EffortlessMath has FAST Grade 6 full-length practice tests, the Mastering Grade 6 Math workbook, and a focused Grade 6 Math Word Problems book. The Related Lessons section below links to step-by-step explanations of the biggest sixth-grade skills.

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
• How to solve multi-step word problems