6th Grade MCAS Math FREE Sample Practice Questions

6th Grade MCAS Math FREE Sample Practice Questions

If you are looking for a way for your student to succeed in the 6th Grade MCAS Math test, it is better to know that the ideal solution for anyone who wants to get an excellent score in the test is to use the 6th Grade MCAS Math sample practice questions. But you do not need to look for such questions! In this article, we have facilitated your work and provided the best 6th Grade MCAS Math sample practice questions as well as detailed explanations of each answer. We hope that using this sample practice question will improve your student’s 6th Grade MCAS Math test score level.

Start preparing your student for the 2022 MCAS Math test with our free sample practice questions. Also, 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.

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10 Sample 6th Grade MCAS Math Practice Questions

1- If the area of the following trapezoid is equal to A, which equation represents \(x\)?
\( \img {https://appmanager.effortlessmath.com/public/images/questions/131313444444444444444444444444444.JPG
} \)

A. \(x = \frac{13}{A}\)

B. \(x = \frac{A}{13}\)

C. \(x=A+13\)

D. \(x=A-13\)

2- By what factor did the number below change from the first to the fourth number?
\(8, 104, 1352, 17576\)

A. 13

B. 96

C. 1456

D. 17568

3- 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. \(\frac{481}{6} + \frac{121}{3}+50\)

4- The distance between the two cities is 3,768 feet. What is the distance of the two cities in yards?

A. 1,256 yd

B. 11,304 yd

C. 45,216 yd

D. 3,768 yd

5- 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. \(\frac{2}{15}\)

6- What is the lowest common multiple of 12 and 20?

A. 60

B. 40

C. 20

D. 12

7- Based on the table below, which expression represents any value of f in term of its corresponding value of \(x\)?
\( \img {https://appmanager.effortlessmath.com/public/images/questions/28282828288888888888888888888888888888888.JPG
} \)

A. \(f=2x-\frac{3}{10}\)

B. \(f=x+\frac{3}{10}\)

C. \(f=2x+2 \frac{2}{5}\)

D. \(2x+\frac{3}{10}\)

8- \(96 kg\) = … ?

A. \(96 mg\)

B. \(9,600 mg\)

C. \(960,000 mg\)

D. \(96,000,000 mg\)

9- Calculate the approximate area of the following circle? (the diameter is 25)
\( \img {https://appmanager.effortlessmath.com/public/images/questions/3030303000000000000000000000000000.JPG
} \)

A. 78

B. 491

C. 157

D. 1963

10- The following graph shows the mark of six students in mathematics. What is the mean (average) of the marks?
\( \img {https://appmanager.effortlessmath.com/public/images/questions/313131313131111111111111111111111111111111111111.JPG
} \)

A. 13

B. 13.5

C. 14

D. 1.5

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Answers:

1- B
The area of the trapezoid is: area\(= \frac{(base 1+base 2)}{2}×\)height\(= (\frac{10 + 16}{2})x = A\)
\( →13x = A→x = \frac{A}{13}\)

2- A
\(\frac{104}{8}=13, \frac{1352}{104}=13, \frac{17576}{1352}=13\)
Therefore, the factor is 13

3- 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. \(\frac{481}{6} + \frac{121}{3}+50= \frac{481+242}{6}+50=120.5+50=170.5\)

4- A
1 yard \(= 3\) feet
Therefore, \(3,768 ft × \frac{1 \space yd }{3 \space ft}=1,256 \space yd\)

5- A
3,400 out of 74,800 equals to \(\frac{3,400}{74,800}=\frac{17}{374}=\frac{1}{22}\)

6- A
Prime factorizing of \(20=2×2×5\)
Prime factorizing of \(12=2×2×3\)
LCM\(=2×2×3×5=60\)

7- C
Plugin 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. \(2x+\frac{3}{10}=2(3.1)+\frac{3}{10}=6.5≠8.6\)

8- D
1 kg\(= 1000\) g and 1 g \(= 1000\) mg
\(96\) kg\(= 96 × 1000\) g \(= 96 × 1000 × 1000 = 96,000,000\) mg

9- B
The diameter of a circle is twice the radius. Radius of the circle is \(\frac{25}{2}\).
Area of a circle = \(πr^2=π(\frac{25}{2})^2=156.25π=156.25×3.14=490.625≅491\)

10- B
Average (mean) \(=\frac{sum \space of \space terms}{number \space of \space terms}= \frac{10+11+15+14+15+17+12.5}{7}=13.5\)

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Common Core Mathematics Workbook For Grade 6: Step-By-Step Guide to Preparing for the Common Core Math Test 2019