6th Grade PARCC Math Practice Test Questions
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 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 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
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 PARCC Math Prep Resource for 2026
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 = \(πr^2=π(\frac{25}{2})^2=156.25π=156.25×3.14=490.625≅491\)
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