6th Grade Common Core Math Practice Test Questions
Use our practice questions to test students’ readiness for the 6th Grade Common Core Math test! These questions are designed to boost your 6th Grade student’s confidence, math skills, and practice enough to pass the 6th Grade Common Core Math test. The solution to each question is also described in detail so that students know where they went wrong.
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.
The Absolute Best Book to Ace the Common Core Math Test
10 Sample 6th Grade Common Core Math Practice Questions
1- What is the missing prime factor of the number 420?
\(420=2^2×3^1×…\)
A. \(2^2×3^1×5^1×7^1\)
B. \(2^2×3^1×7^1×9^1\)
C. \(1^2×2^3×2^1×3^1\)
D. \(3^2×5^1×7^1×9^1\)
2- If the area of the following trapezoid is equal to \(A\), which equation represents \(x\)?
A. \( x = \frac{13}{A}\)
B. \( x = \frac{A}{13}\)
C. \( x=A+13\)
D. \( x=A-13\)
3- By what factor did the number below change from first to the fourth number?
\(8, 104, 1352, 17576\)
A. 13
B. 96
C. 1456
D. 17568
4- 170 is equal to …
A. \( -20-(3×10)+(6×40)\)
B. \(((\frac{15}{8})×72 )+ (\frac{125}{5}) \)
C. \(((\frac{30}{4} + \frac{15}{2})×8) – \frac{11}{2} + \frac{222}{4}\)
D. \(\frac{481}{6} + \frac{121}{3}+50\)
5- The distance between the two cities is 3,768 feet. What is the distance between the two cities in yards?
A. 1,256 yd
B. 11,304 yd
C. 45,216 yd
D. 3,768 yd
6- Mr. Jones saves $3,400 out of his monthly family income of $74,800. What fractional part of his income does Mr. Jones save?
A. \(\frac{1}{22}\)
B. \(\frac{1}{11}\)
C. \(\frac{3}{25}\)
D. \(\frac{2}{15}\)
7- What is the lowest common multiple of 12 and 20?
A. 60
B. 40
C. 20
D. 12
8- Based on the table below, which expression represents any value of f in terms of its corresponding value of \(x\)?
A. \(f=2x-\frac{3}{10}\)
B. \(f=x+\frac{3}{10}\)
C. \(f=2x+2 \frac{2}{5}\)
D. \(2x+\frac{3}{10}\)
9- 96 kg \(=\)… ?
A. 96 mg
B. 9,600 mg
C. 960,000 mg
D. 96,000,000 mg
10- Calculate the approximate area of the following circle? (the diameter is 25)
A. 78
B. 491
C. 157
D. 1963
Best 6th Grade Common Core Math Prep Resource for 2024
Answers:
1- A
\(420=2^2×3^1×5^1×7^1\)
2- B
The area of the trapezoid is: area= \(\frac{(base 1+base 2)}{2})×height= ((\frac{10 + 16}{2})x = A\)
\( →13x = A→x = \frac{A}{13}\)
3- A
\(\frac{104}{8}=13, \frac{1352}{104}=13, \frac{17576}{1352}=13\)
Therefore, the factor is 13
4- C
Simplify each option provided.
\( A. -20-(3×10)+(6×40)=-20-30+240=190\)
\( B. (\frac{15}{8})×72 + (\frac{125}{5}) =135+25=160\)
\(C. ((\frac{30}{4} + \frac{15}{2})×8) – \frac{11}{2} + \frac{222}{4} = ((\frac{30 + 30}{4})×8)- \frac{11}{2}+ \frac{111}{2}=(\frac{60}{4})×8) + \frac{100}{2}= 120 + 50 = 170\)this is the answer
\(D. \frac{481}{6} + \frac{121}{3}+50= \frac{481+242}{6}+50=120.5+50=170.5\)
5- A
1 yard \(= \)3 feet
Therefore, \(3,768 ft × \frac{1 \space yd }{3 \space ft}=1,256 \space yd\)
6- A
3,400 out of 74,800 equals to \(\frac{3,400}{74,800}=\frac{17}{374}=\frac{1}{22}\)
7- A
Prime factorizing of \(20=2×2×5\)
Prime factorizing of \(12=2×2×3\)
LCM\(=2×2×3×5=60\)
8- C
Plug in the value of \(x\) into the function f. First, plug in 3.1 for \(x\).
\(A. f=2x-\frac{3}{10}=2(3.1)-\frac{3}{10}=5.9≠8.6\)
\(B. f=x+\frac{3}{10}=3.1+\frac{3}{10}=3.4≠10.8\)
\(C. f=2x+2 \frac{2}{5}=2(3.1)+2 \frac{2}{5}=6.2+2.4=8.6 \)
This is correct!
Plug in other values of \(x. x=4.2\)
\(f=2x+2\frac{2}{5} =2(4.2)+2.4=10.8 \)
This one is also correct.
\(x=5.9\)
\(f=2x+2 \frac{2}{5}=2(5.9)+2.4=14.2 \)
This one works too!
\(D. 2x+\frac{3}{10}=2(3.1)+\frac{3}{10}=6.5≠8.6\)
9- D
1 kg\(=\) 1000 g and 1 g \(=\) 1000 mg
96 kg\(=\) 96 \(×\) 1000 g \(=\)96 \(×\) 1000 \(×\) 1000 \(=\)96,000,000 mg
10- B
The diameter of a circle is twice the radius. Radius of the circle is \(\frac{25}{2}\).
Area of a circle = \(πr^2=π(\frac{25}{2})^2=156.25π=156.25×3.14=490.625≅491\)
Looking for the best resource to help you succeed on the Common Core Math Grade 6 Math test?
The Most Comprehensive Review for 6th-Grade Students
Common Core Math Exercise Book for Grade 6 Student Workbook and Two Realistic Common Core Math Tests
Related to This Article
More math articles
- 5th Grade MAP Math FREE Sample Practice Questions
- 5 Best Laptops for Math Teachers
- Pattern Play: How to Analyzing and Comparing Mathematical Patterns
- Zero Mastery: How to Tackle Word Problems with Numbers Ending in Zero
- Understanding Fractions Definition
- Full-Length 7th Grade Common Core Math Practice Test-Answers and Explanations
- 8th Grade MAP Math Practice Test Questions
- FREE 3rd Grade Georgia Milestones Assessment System Math Practice Test
- 7th Grade M-STEP Math Worksheets: FREE & Printable
- Best Cheap Laptops for College Students
What people say about "6th Grade Common Core Math Practice Test Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.