FREE 6th Grade Georgia Milestones Assessment System Math Practice Test

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For this practice test, we’ve selected 20 real questions from past exams for your students’ Georgia Milestones Assessment System Practice test. Your student will have the chance to try out the most common Georgia Milestones Assessment System Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free Georgia Milestones Assessment System Math practice tests and study resources (updated for 2026) to help your students ace the Georgia Milestones Assessment System Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

10 Sample 6th Grade Georgia Milestones Assessment System Math Practice Questions

1- There are 55 blue marbles and 143 red marbles. We want to place these marbles in some boxes so that there is the same number of red marbles in each box and the same number of blue marbles in each of the boxes. How many boxes do we need?

For official information about the test Georgia Department of Education website.

A. 8

B. 9

C. 10

D. 11

2- What is the value of the following expression?
\(2,205÷315\)

A. 5

B. 6

C. 7

D. 8

3- Solve the following equation.
\(112=22+x\)

A. \( x=-90\)

B. \( x=90\)

C. \( x=-134\)

D. \( x=134\)

4- Car A travels 221.5 km at a given time, while car B travels 1.2 times the distance car A travels at the same time. What is the distance car B travels during that time?

A. 222.7 km

B. 233.5 km

C. 241.5 km

D. 265.8 km

5- The perimeter of the trapezoid below is 38. What is its area?

A. 198 cm\(^2\)

B. 162 cm\(^2\)

C. 99 cm\(^2\)

D. 81cm\(^2\)

6- Which of the following expressions has the greatest value?

A. \( 3^1+12\)

B. \( 3^3-3^2\)

C. \( 3^4-60\)

D. \( 3^5-218\)

7- Alfred has \(x\) apples. Alvin has 40 apples, which is 15 apples less than number of apples Alfred owns. If Baron has \(\frac{1}{5}\) times as many apples as Alfred has. How many apples does Baron have?

A. 5

B. 11

C. 55

D. 275

8- In the following triangle, find \(α\).

A. \(100^\circ\)

B. \(90^\circ\)

C. \(60^\circ\)

D. \(30^\circ\)

9- The price of a laptop is decreased by \(15\%\) to $425. What is its original price?

A. $283

B. $430

C. $500

D. $550

10- Find the perimeter of the shape in the following figure? (all angles are right angles)

A. 21

B. 22

C. 24

D. 20

11- What are the values of mode and median in the following set of numbers?
\(1,3,3,6,6,5,4,3,1,1,2\)

A. Mode: 1, 2, Median: 2

B. Mode: 1, 3, Median: 3

C. Mode: 2, 3, Median: 2

D. Mode: 1, 3, Median: 2.5

12- Which expression equivalent to \(x × 92\)?

A. \((x×90)+2\)

B. \(x×9×2\)

C. \((x×90)+(x×2)\)

D. \((x×90)+2\)

13- The ratio of pens to pencils in a box is 3 to 5. If there are 96 pens and pencils in the box altogether, how many more pens should be put in the box to make the ratio of pens to pencils 1: 1?

A. 22

B. 23

C. 24

D. 25

14- If point A is placed at \(-\frac{24}{3}\) on a number line, which of the following points has a distance equal to 5 from point A?

A. \(-13\)

B. \(-3\)

C. \(-2\)

D. A and B

15- Which of the following shows the numbers in increasing order?

A. \(\frac{3}{13}, \frac{4}{11}, \frac{5}{14}, \frac{2}{5}\)

B. \(\frac{3}{13}, \frac{5}{14}, \frac{4}{11}, \frac{2}{5}\)

C. \(\frac{3}{13}, \frac{5}{14}, \frac{2}{5}, \frac{4}{11}\)

D. \(\frac{5}{14}, \frac{3}{13}, \frac{2}{5}, \frac{4}{11}\)

16- If \(x=- 4\), which of the following equations is true?

A. \(x(3x-1)=50\)

B. \(5(11-x^2 )=-25\)

C. \(3(-2x+5)=49\)

D. \(x(-5x-19)=-3\)

17- What is the missing prime factor of number 450?
\(450=2^1×3^2×…\) _________

18- What is the perimeter of the following shape? (it’s a right triangle)

A. 14 cm

B. 18 cm

C. 24 cm

D. 32 cm

19- 65 is what percent of 50?

A. \(50 \%\)

B. \(77 \%\)

C. \(130 \%\)

D. \(140 \%\)

20- Which of the following expressions has a value of \(-23\)?

A. \(-10+(-8)+ \frac{5}{2}×(-2)\)

B. \(5×3+(-2)×18\)

C. \(-10+6×8÷(-4)\)

D. \((-3) × (-7) + 2\)

Best 6th Grade Georgia Milestones Assessment System Math Workbook Resource for 2026

Answers:

2- C
\(2205÷315=\frac{2205}{315}=\frac{441}{63}=\frac{147}{21}= 7\)

3- B
\(112=22+x \)
Subtract 22 from both sides of the equation. Then:
\(x=112-22=90\)

4- D
Distance that car B travels \(=1.2 ×\) distance that car A travels
=\(1.2×221.5=265.8 \) km

5- D
The perimeter of the trapezoid is 38.
Therefore, the missing side (height) is \(= 38 – 8 – 10 – 11 = 9\)
Area of the trapezoid: \(A = \frac{1}{2} h (b_1 + b_2) = \frac{1}{2}1 (9) (8 + 10) = 81\)

6- D
A. \(3^1+12=3+12=15\)
B. \(3^3-3^2=27-9=18\)
C. \(3^4-60=81-60=21\)
D. \(3^5-218=243-218=25\)

7- B
Alfred has \(x\) apple which is 15 apples more than 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: \(y=\frac{1}{5}×55=11\)

8- A
Complementary angles add up to 180 degrees.
\( β+150^\circ=180^\circ→β=180^\circ-150^\circ=30^\circ\)
The sum of all angles in a triangle is 180 degrees. Then:
\(α+β+50^\circ=180^\circ→α+30^\circ+50^\circ=180^\circ\)
\(→α+80^\circ=180^\circ→α=180^\circ-80^\circ=100^\circ\)

9- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(15\%\) to $425, then:
\(85 \% \space of \space x=425⇒ 0.85x=425 ⇒ x=425÷0.85=500\)

10- C
Let \(x\) and \(y\) be two sides of the shape. Then:
\(x+1=1+1+1→x=2\)
\(y+6+2=5+4→y+8=9→y=1\)
Then, the perimeter is:
\(1+5+1+4+1+2+1+6+2+1=24\)

11- B
First, put the numbers in order from least to greatest: \(1, 1, 1, 2, 3, 3, 3, 4, 5, 6, 6\)
The Mode of the set of numbers is: 1 and 3 (the most frequent numbers)
Median is: 3 (the number in the middle)

12- C
\(x×92=x×(90+2)=(x×90)+(x×2)\)

13- C
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 \(1 : 1\)

14- D
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: value of A- value of B
A. \(-\frac{24}{3}-(-13)=-8+13=5=5\)
B. \(-3-(-\frac{24}{3})=-3+8=5=5\)
C. \(-2-(-\frac{24}{3})=-2+8=6≠5\)

15- B
\(\frac{3}{13}≅0.23 , \frac{5}{14}≅0.357 , \frac{4}{11}≅0.36 , \frac{2}{5}=0.4\)

16- B
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. \(x(-5x-19)=-3→-4(-5(-4)-19=-4(20-19)=-4≠-3\)

17- 5
Let \(x\) be the missing prime factor of 450.
\(450= 2 × 3 × 3 × x ⇒ x =\frac{450}{18} ⇒ x = 25=5×5\)

18- C
Use the Pythagorean theorem to find the hypotenuse of the triangle.
\(a^2+b^2=c^2→6^2+8^2=c^2→36+64=c^2→100=c^2→c=10\)
The perimeter of the triangle is: \(6+8+10=24\)

19- C
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 \(130\%\)

20- A
Let’s check the options provided.
A. \(-10+(-8)+ (\frac{5}{2})×(-2)=-10+(-8)+(-5)=-10-13=-23\)
B. \(5×3+(-2)×18=15+(-38)=-21\)
C. \(-10+6×8÷(-4)=-10+48÷(-4)=-10-12=-22\)
D. \((-3)× (-7)+ 2=21+2=23\)

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Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests

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Recommended EffortlessMath Books

For a workbook that walks through every grade 6 GMAS topic, the Grade 6 Georgia Milestones Math Workbook covers each concept with worked examples. For more grade 6 practice in the same format, see the Grade 6 Math Full Study Guide.

Frequently Asked Questions

What is covered in 6th grade math?

Sixth grade math covers ratios and rates, dividing fractions, operations with decimals, an introduction to negative numbers, writing and solving one-step equations and inequalities, area, surface area and volume, and basic statistics like mean and median. For example, a sixth grader might find the unit rate in $12 for 4 notebooks, which is $3 per notebook, or solve x + 9 = 15 (x = 6).

Is geometry in 6th grade math?

Yes, 6th grade math includes geometry, though it is not a separate course. Students find the area of triangles and other polygons, use nets to find surface area, find the volume of rectangular prisms with fraction edge lengths, and draw shapes on the coordinate plane. For example, a triangle with base 10 cm and height 6 cm has an area of ½ × 10 × 6 = 30 cm².

Is 6th grade middle school in Georgia?

Yes, in most Georgia school districts 6th grade is the first year of middle school, which usually runs from grades 6 through 8. Sixth graders take the Georgia Milestones End-of-Grade math test in the spring. Because the jump to middle school brings new topics like ratios and negative numbers, a short practice test early in the year helps spot any gaps.

Can 6th graders do algebra?

Yes, 6th graders already learn early algebra. They write and evaluate expressions with variables, solve one-step equations such as 4x = 28 (x = 7), and write simple inequalities like x > 3. A full Algebra course usually comes later, in 8th or 9th grade. Students who find these skills easy can ask their teacher about advanced or accelerated math options.

What are the Georgia 6th grade math standards?

Georgia’s 6th grade math standards are part of the Georgia K-12 Mathematics Standards. They cover ratios and rates, the number system including fractions, decimals and integers, expressions and equations, geometry such as area and volume, and statistics. You can find the full list on the Georgia Department of Education website, which helps you see exactly what the Milestones test is built on.

Is there a 6th grade math Georgia Milestones study guide?

Yes. The Georgia Department of Education posts a Study/Resource Guide for the grade 6 math Georgia Milestones End-of-Grade test. It describes how the test is set up and includes sample questions with explanations. Use it alongside a practice test: if your child misses questions on dividing fractions, for example 3/4 ÷ 1/8 = 6, spend a few extra sessions on that skill.

Related EffortlessMath Lessons

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

• How to divide fractions
• Solve ratio and proportion problems
• Order of operations (PEMDAS)
• How to solve linear equations
• Area and perimeter