FREE 6th Grade Common Core Math Practice Test
Use these 20 free questions for a short math review, then check the worked answers below. This is an independent mixed practice set, with prerequisite skills and a few extension questions. It does not reproduce a particular state test or cover every Grade 6 Common Core standard.
20 free practice questions
Write your answers on paper before looking at the explanations. You can print this page with your browser’s Print command; it includes both questions and answers. No timer is built into this page. Follow your teacher’s calculator instructions rather than treating this activity as an official test policy.
Questions marked Extension review include angle reasoning, reverse percentages, or signed-number calculations beyond this set’s core Grade 6 review. Question 18 uses the Pythagorean theorem. Skip extension items if your class has not covered them; use the remaining questions to find a useful next lesson.
Getting ready for Common Core 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 Common Core 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.
Plug the value of \(x\) in the equations. \(x = -4\), then:
A.\(x(3x-1)=50→-4(3(-4)-1)=-4(-12-1)=-4(-13)=52≠50\)
B. \(5(11-x^2 )=-25→5(11-(-4)^2 )= 5(11-16)=5(-5)=-25\)
C. \(3(-2x+5)=49→3(-2(-4)+5)=3(8+5)=39≠49\)
D. \(x(-5x-19)=-3→-4(-5(-4)-19=-4(20-19)=-4≠-3\)
If the value of point A is greater than the value of point B, then the distance between the two points on the number line is: the value of A- the value of B
A. \(-\frac{24}{3}-(-13)=-8+13=5=5\)
B. \(-3-(-\frac{24}{3})=-3+8=5=5\)
C. \(-2-(-\frac{24}{3})=-2+8=6≠5\)
\(2205÷315=\frac{2205}{315}=\frac{441}{63}=\frac{147}{21}= 7\)
The ratio of pens to pencils is \(3 : 5\). Therefore, there are 3 pens out of all 8 pens and pencils. To find the answer, first dived 96 by ,8 then multiply the result by 3.
\(96÷8=12→12×3=36\)
There are 36 pens and 60 pencils \((96-36)\). Therefore, 24 more pens should be put in the box to make the ratio \(1 : 1\)
\(x×92=x×(90+2)=(x×90)+(x×2)\)
Let \(x\) be the original price.
If the price of a laptop is decreased by \(15\%\) to $425, then:
\(85 \% \space of \space x=425⇒ 0.85x=425 ⇒ x=425÷0.85=500\)
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.
Choose your next skill
For each mistake, note whether you misunderstood the question, chose the wrong operation, or made a calculation error. Work through one matching lesson, try a few fresh questions, and explain your method aloud before checking the answer.
Use the Grade 6 math hub to choose a lesson or find more focused practice in the Grade 6 Common Core worksheet collection.
The official Common Core Grade 6 overview describes the five Common Core domains: ratios, the number system, expressions and equations, geometry, and statistics and probability. This short set is a sample, not a standards checklist. Ask your school which state assessment applies and where to find its current timing and calculator rules.
Is this an official Common Core test?
No. Common Core describes learning standards; this is Effortless Math’s independent practice. Your state or school determines the assessment and its rules.
How should I use the score?
Use missed questions to select a lesson, not to predict a state-test result. Keep extension items separate if you have not studied them.
What should I study after this set?
Choose one weak skill, review a worked example, and try a new problem without looking at the solution. Return to mixed practice when you can explain the steps.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
- How to divide fractions
- Order of operations (PEMDAS)
- How to solve one-variable equations
- How to find the area of a triangle
- Rules of exponents
Optional Grade 6 book practice
If you want a longer practice routine, review each book’s product page and available preview. Match its topics and difficulty to the skills your child needs before purchasing.
Common Core Grade 6 Math for Beginners
Mastering Grade 6 Math Word Problems
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