Top 10 6th Grade PSSA Math Practice Questions

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

A. \(60x-16\)

B. \(17x-21\)

C. \(12x-80\)

D. \(60x-80\)

2- Which ratio is equivalent to \(91:21\)?

A. \(13:3\)

B. \(9:2\)

C. \(7:3\)

D. \(21:91\)

3- Solve for \(x\) in the equation \(-60=115-x\).

A. \(x=175\)

B. \(x=55\)

C. \(x=-55\)

D. \(x=-175\)

4- Solve the inequality \(-8 \le 5x-8 < 2\).

A. \(-1 \le x < 2\)

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

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

D. \(-2 \le x < 0\)

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

Best 6th Grade PSSA Math Prep Resource for 2026

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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 \((-1)\):
\(→x = 175\)

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: \(6\% \space of \space x = 45 \space ml ⇒ 0.06 x = 45 ⇒ x = 45 ÷ 0.06 = 750\)

Looking for the best resource to help you succeed on the Grade 6 PSSA Math test?

The Best Books to Ace 6th Grade PSSA Math Test

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

What’s on the PSSA Grade 6 math test?

Five reporting categories: Ratios and Proportional Reasoning (about 17%), The Number System (about 23%), Expressions and Equations (about 25%), Geometry (about 17%), and Statistics and Probability (about 18%). Items are mostly multiple choice plus a handful of constructed-response questions that ask your child to show work.

How long is the PSSA Grade 6 math test?

The test is given in three sessions over a couple of days, totaling about 2 hours and 30 minutes of testing time across roughly 60 questions. Sessions are untimed within reason, so kids who pace themselves rarely run out of time. Practice with a clock once or twice so the rhythm isn’t a surprise.

Is the PSSA the same as Common Core?

Yes – Pennsylvania’s PA Core Standards are closely aligned to the Common Core State Standards for Math, with small tweaks. So Common Core practice books and these 10 questions transfer cleanly to the PSSA. State-specific terminology is minor; the math content is essentially identical.

What ratio problems show up at grade 6?

Equivalent ratios, unit rates, percents as ratios per 100, and ratio tables. Example: “If 4 apples cost \(\$3\), how much do 10 apples cost?” Set up the proportion \(\dfrac{4}{3}=\dfrac{10}{x}\) and cross-multiply: \(4x=30\), so \(x=\$7.50\). Expect three or four ratio questions on the test.

How do I divide a fraction by a fraction?

Multiply by the reciprocal: \(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}\). Example: \(\dfrac{3}{4} \div \dfrac{2}{5} = \dfrac{3}{4} \times \dfrac{5}{2} = \dfrac{15}{8} = 1\dfrac{7}{8}\). Flip the second fraction and multiply across – one of the most-tested grade-6 skills.

What does “area on the coordinate plane” mean for grade 6?

Polygons whose vertices are given as ordered pairs. You plot the points, connect them, then find the area using the same rectangle/triangle formulas as before. The trick is reading coordinates accurately and counting side lengths from the gridlines. A rectangle with vertices \((1,1)\), \((5,1)\), \((5,4)\), \((1,4)\) has area \(4 \times 3 = 12\).

How do you solve a one-variable equation?

Use inverse operations to isolate the variable. For \(3x + 7 = 22\), subtract 7 from both sides to get \(3x = 15\), then divide both sides by 3: \(x = 5\). Always do the same thing to both sides. PSSA grade-6 equations stay one-step or two-step; multi-step equations come later.

What statistics topics are on the grade 6 test?

Measures of center (mean, median, mode) and spread (range, interquartile range), plus reading dot plots, histograms, and box plots. Example: for the data set \(\{4, 6, 7, 7, 10\}\), the mean is \(34/5 = 6.8\), median is 7, mode is 7, range is 6. Expect both calculation and graph-reading questions.

How should we use these 10 questions for practice?

First, your child works each one without help. Then go through the solutions together, focusing on the WHY behind each step. Re-do any missed question two days later from scratch – if they get it right, the skill stuck. If not, take a quick detour through the related lesson before moving on.

Where can we get more PSSA Grade 6 practice?

EffortlessMath has Grade 6 PSSA 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 trickiest 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