Top 10 Grade 8 Common Core Math Practice Questions

Top 10 Grade 8 Common Core Math Practice Questions

Preparing your student for the Common Core Grade 8 Math test? The best way to prepare for the Grade 8 Common Core Math test is to work through as many Common Core Math practice questions as possible. Here are the top 10 Grade 8 Common Core Math practice questions to help your student reviews the most important Grade 8 Common Core Math concepts. These Grade 8 Common Core Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2020 Grade 8 Common Core guidelines. Answers and full explanations are provided at the end of the post.

Help your student starts his/her Common Core Math test prep journey right now with these sample Common Core Math questions.

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Grade 8 Common Core 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)

☐A. 0.0732

☐B. 0.732

☐C. 7.32

☐D. 7320

2- In a school, the ratio of 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.

This image has an empty alt attribute; its file name is 41.jpg

☐B.

This image has an empty alt attribute; its file name is 42.jpg

☐C.

This image has an empty alt attribute; its file name is 43.jpg

☐D.

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5- In the rectangle below if \(y>5\) cm and the area of rectangle is 50 cm\(^2\) and the perimeter of the rectangle is 30 cm, what is the value 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 sport shoes cost $240 each. Which of the following inequalities represent 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- In a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drink is 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 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 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 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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