FREE 6th Grade PSSA Math Practice Test
TL;DR: Spring testing is coming and you want a low-stakes way to see where your 6th grader actually stands. Try this free PSSA-aligned practice test: 20 questions that mirror the Pennsylvania System of School Assessment, spread across the four reporting categories Pennsylvania uses on the real spring math test. Time it, then walk through the worked answers together. You’ll spot the weak topics in one sitting instead of guessing all the way to test day.
Quick answer: This free 6th grade PSSA math practice test has 20 questions: 19 multiple choice and 1 fill-in, covering numbers and operations, algebraic concepts, geometry, and data. Worked answers for every question are at the bottom of the page, with no signup needed. Give your child about 40 minutes, then go through the explanations together and note which topics need more work.
Key takeaways:
- Aligned with Pennsylvania Core Standards (PA Core) for grade 6 math.
- Four reporting categories: Numbers and Operations, Algebraic Concepts, Geometry, Data Analysis.
- PSSA grade 6 math is given in three sessions across two days in the spring.
- Calculator is allowed on the calculator-permitted sections; not on the calculator-free sections.
- Scored on 4 performance levels: Below Basic, Basic, Proficient, Advanced.
Getting ready for PSSA (Pennsylvania System of School Assessment) math in grade 6? The 20 questions below are written for 6th graders and cover ratios and rates, fractions and decimals, integers, expressions and equations, area and volume, and statistics. Each question has a worked solution, and the numbers differ from the other grade 6 sets on this site, so you can practice with fresh problems.
These are original practice questions aligned to grade 6 math skills, not official released test items. Use them to find the topics you need to review before test day.
20 practice questions for 6th Grade PSSA Math
Answer one question at a time. Press Submit to see right away whether you were correct, along with the worked solution. Your score appears after the last question, with a list of the ones to review.
\(\frac{3}{13}≅0.23, \frac{5}{14}≅0.357, \frac{4}{11}≅0.36, \frac{2}{5}=0.4\)
Use the percent formula:
\(Part = \frac{percent}{100} × whole\)
\(65= \frac{percent}{100} × 50⇒ 65 = \frac{percent ×50}{100}⇒ 65=\frac{percent ×5}{10}\)
multiply both sides by 10.
\(650 =percent ×5, \space divide \space both \space sides \space by \space 5.\)
130 = percent
The answer is \(130\%\)
Alfred has \(x\) apple which is 15 apples more than a number of apples Alvin owns. Therefore:
\(x-15=40→x=40+15=55\)
Alfred has 55 apples.
Let \(y\) be the number of apples that Baron has. Then: \(y=\frac{1}{5}×55=11\)
First, we need to find the GCF (Greatest Common Factor) of 143 and 55.
\(143=11×13\)
(55=5×11→\) GCF\( = 11\)
Therefore, each box holds 11 cookies.
\(112=22+x \)
Subtract 22 from both sides of the equation. Then:
\(x=112-22=90\)
\(2205÷315=\frac{2205}{315}=\frac{441}{63}=\frac{147}{21}= 7\)
Quiz complete
Answers and explanations
Every worked solution opens in the quiz box as soon as you submit that question, so you can compare your method with the solution while it is fresh. Press Try again on the last screen to work through the set a second time.
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 your child can use alongside this practice test, the 6th Grade PSSA Math for Beginners (resource currently unavailable) walks through every topic on the test with worked examples. For full Pennsylvania state-test prep with multiple practice tests, see the 6th Grade PSSA Math Test Prep Bundle (resource currently unavailable).
How to Prepare for the PSSA Using This Test
- Take it cold. Have your child do all 20 questions in one sitting, with scratch paper and no help. Note the time it takes.
- Score it by topic. Mark each miss as Numbers and Operations, Algebraic Concepts, Geometry, or Data. Two or more misses in one group tells you where to focus.
- Fix the patterns. Spend the next two or three weeks on the weakest group with short sessions, about fifteen to twenty minutes, a few times a week.
- Practice showing work. The PSSA includes open-ended items where students explain their thinking. Have your child redo two missed questions and write each step in words.
- Retake and compare. Do the test again a few weeks later. Fewer misses in the weak group means the practice is working.
A tip on wrong answers: ask your child to explain how they got their answer before showing the solution. Often the mistake is a misread word, like 'more than' or 'per', not the math itself.
Frequently Asked Questions
Where can I find free PSSA practice tests?
The Pennsylvania Department of Education posts free Item and Scoring Samplers for each grade, which show real-style PSSA questions with scoring notes. Pair a sampler with the 20-question grade 6 test above: time your child for about 40 minutes, check the worked answers together, and circle the reporting category behind each miss so you know whether ratios, expressions, geometry or data needs the most review.
Is there a PSSA practice test online?
Yes. Many Pennsylvania schools give the PSSA on computers, and the state's testing platform offers an online tools training so students can try the on-screen calculator, highlighter and answer formats before test day. Ask your child's teacher how your school gives the test. For content practice, the 6th grade questions above work well on screen, or you can copy them onto paper for a quieter session.
Is there a 6th grade PSSA formula sheet?
Yes. Grade 6 PSSA students get a math formula sheet with area and volume formulas, such as the area of a triangle, parallelogram and trapezoid and the volume of a rectangular prism. Knowing the formulas are there is only half the job, so have your child practice finding the right one quickly, for example using the trapezoid formula on question 5 of this practice test.
How do you find the area of a triangle in 6th grade?
Multiply the base by the height and take half: A = ½ × b × h. The height must be perpendicular to the base, not the slanted side. For a triangle with a base of 10 cm and a height of 6 cm, A = ½ × 10 × 6 = 30 cm². On the PSSA Geometry category, students also split shapes like trapezoids into triangles and rectangles to find their area.
How do you solve 6th grade equation word problems?
Read the problem, name the unknown with a letter, write a one-step equation, then solve it with the inverse operation. Question 3 above is a good model: 112 = 22 + x, so subtract 22 from both sides to get x = 90. Always check by substituting back, since 22 + 90 = 112. This kind of item falls under Algebraic Concepts on the grade 6 PSSA.
What do 6th grade PSSA practice questions cover?
They cover the four PSSA reporting categories: Numbers and Operations, Algebraic Concepts, Geometry, and Data Analysis and Probability. Expect greatest common factor problems, division of multi-digit numbers, decimal operations, one-step equations, area of polygons and reading data displays. A good habit is to sort your child's mistakes by category after each practice test, then spend the next week on the weakest one.
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If a topic on this page feels rusty, these short lessons go deeper:
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