Top 10 8th Grade Georgia Milestones Assessment System Math Practice Questions
Start your Georgia Milestones Assessment System Math test prep journey right now with these sample GMAS Math questions.
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8th Grade Georgia Milestones Assessment System Math Practice Questions
1- A rope weighs 600 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)
For official information about the test, visit the Georgia Department of Education website.
A. 0.0732
B. 0.732
C. 7.32
D. 7320
2- In a school, the ratio of the number of boys to girls is 3:7. If the number of boys is 180, what is the total number of students in the school?__________
Write your answer in the box below.
3- In two successive years, the population of a town is increased by \(15\%\) and \(20\%\). What percent of its population is increased after two years?
A. 32
B. 35
C. 38
D. 68
4- Which graph shows a non-proportional linear relationship between \(x\) and \(y\)?
A.
B.
C.
D.
5- In the rectangle below if \(y>5\) cm and the area of a rectangle is 50 cm\(^2\) and the perimeter of the rectangle is 30 cm, what is the values of \(x\) and \(y\) respectively?
A. \(4, 11\)
B. \(5, 11\)
C. \(5, 10\)
D. \(4, 10\)
6- A football team had $40,000 to spend on supplies. The team spent $22,000 on new balls. New sports shoes cost $240 each. Which of the following inequalities represents how many new shoes the team can purchase?
A. \(240x+22,000 ≤40,000 \)
B. \(240x+22,000 ≥40,000\)
C. \(22,000x+240 ≤40,000\)
D. \(22,000x+240 ≥40,000\)
7- Right triangle ABC has two legs of lengths 6 cm (AB) and 8 cm (AC). What is the length of the third side (BC)?
A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm
8- If \(3x-5=8.5\), What is the value of \(5x+3\)?
A. 13
B. 15.5
C. 20.5
D. 25.5
9- A bank is offering \(4.5\%\) simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years?
A. $360
B. $720
C. $1800
D. $3600
10- At a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks are required?
A. 21
B. 105
C. 210
D. 2510
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Answers:
1- C
The weight of 12.2 meters of this rope is: \(12.2 × 600 g = 7320 g\)
\(1 kg = 1000 g\)
therefore,
\(7320 g ÷ 1000 = 7.32 kg\)
2- 600
The ratio of boys to girls is \(3:7\).
Therefore, there are 3 boys out of 10 students. To find the answer, first, divide the number of boys by 3, then multiply the result by 10.
\(180 ÷ 3 = 60 ⇒ 60 × 10 = 600\)
3- C
the population is increased by \(15\%\) and \(20\%\). \(15\%\) increase changes the population to \(115\%\) of the original population.
For the second increase, multiply the result by \(120\%\).
\((1.15) × (1.20) = 1.38 = 138\%\)
38 percent of the population is increased after two years.
4- B
A linear equation is a relationship between two variables, \(x\) and \(y\), that can be put in the form \(y = mx + b\).
A non-proportional linear relationship takes on the form \(y=mx + b\), where \(b ≠ 0\) and its graph is a line that does not cross through the origin.
5- C
The perimeter of the rectangle is: \(2x+2y=30→x+y=15→x=15-y \)
The area of the rectangle is: \(x×y=50→(15-y)(y)=50→y^2-15y+50=0\)
Solve the quadratic equation by the factoring method.
\((y-5)(y-10)=0→y=5 \)
(Unacceptable, because y must be greater than 5) or \(y=10\)
If \( y=10 →x×y=50→x×10=50→x=5\)
6- A
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase 240 \(x\).
The team had $40,000 and spent $22,000. Now the team can spend on new shoes $18,000 at most.
Now, write the inequality: \( 120x+22.000 ≤40.000\)
7- D
Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(6^2 + 8^2 = c^2 ⇒ 100 = c^2 ⇒ c = 10\)
8- D
\(3x-5=8.5→3x=8.5 + 5=13.5→x = \frac{13.5}{3}= 4.5\)
Then;
\(5x+3=5 (4.5)+3=22.5+3=25.5\)
9- C
Use the simple interest formula:
\(I=prt\)
\((I = interest, p = principal, r = rate, t = time)\)
\(I=(8000)(0.045)(5)=1800\)
10- C
Let \(x\) be the number of soft drinks for 252 guests. Write the proportion and solve for \(x\).
\(\frac{10 soft drinks}{12 guests}=\frac{x}{252 guests}\)
\(x = \frac{252×10}{12}⇒x=210\)
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