Full-Length 6th Grade PSSA Math Practice Test-Answers and Explanations
Did you take the 6th Grade PSSA Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.
6th Grade PSSA Math Practice Test Answers and Explanations
1- Choice B is correct
Plug in the value of \(x\) and \(y\) and use the order of operations rule. \(x=2\) and \(y=-3\)
\(5(4x-3y)-7y^2=5(4(2)-3(-3))-7(-3)^2=5(8+9)-7(9)=5(17)-63=85-63=22\)
2- Choice C is correct
For one hour he earns $18, then for t hours he earns $18t. If he wants to earn at least $78, therefore, the number of working hours multiplied by 18 must be equal to 78 or more than 78.
\(18t≥78\)
3- Choice B is correct
\((108-(3×9))÷9=9^3÷81=9\)
4- Choice B is correct
The ratio of boys to girls is 3 ∶ 5. Therefore, there are 3 boys out of 8 students. To find the answer, first, divide the total number of students by 8, then multiply the result by 3.
\(240÷8=30 ⇒ 30×3=90\)
5- Choice A is correct
Probability\(=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{9+15+14+16}=\frac{9}{54}\frac{1}{6}=0.16\)
The Absolute Best Book to Ace the PSSA Math Test
6- Choice D is correct
Let’s compare each fraction: \(\frac{2}{3}<\frac{3}{4}<\frac{7}{9}<\frac{4}{5}\) Only choice D provides the right order.
7- Choice B is correct
Let \(y\) be the width of the rectangle. Then; \(14×y=84→y=\frac{84}{16}=6\)
8- Choice B is correct
\(4×\frac{5}{16}=\frac{20}{16}=1.25\)
A. \(1.25>2\)
B. \(1<1.25<2\) This is the answer!
C. \(\frac{3}{8}=1.25\)
D. \(1.25=2^2\)
9- Choice B is correct
In any rectangle, The measure of the sum of all the angles equals \(180^\circ\).
10- Choice C is correct
\(\frac{824}{17}=48.5\)
Best 6th Grade PSSA Math Prep Resource for 2022
11- The answer is \(7^2\).
\(588=2^2×3^1×7^2\)
12- Choice B is correct
The area of the trapezoid is: Area \(=\frac{base \space 1+base \space 2}{2}×height=\frac{12+10}{2}x=A→ 11x=A→x=\frac{A}{11}\)
13- Choice B is correct
\(\frac{72}{8}=9, \frac{648}{72}=9, \frac{5,832}{648}=9\), Therefore, the factor is 9.
14- Choice C is correct
Simplify each option provided.
A. \(13-(3×6)+(7×(-6))=13-18+(-42)=-5-42=-47\)
B. \((\frac{25}{400})+(\frac{7}{50})=\frac{25}{400}+\frac{56}{400}=\frac{81}{400}\)
C. \(((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}=(110-84)×9=26×9=234\) (this is the answer)
D. \((\frac{6}{24}+\frac{12}{33})-50=(\frac{1}{4}+\frac{1}{3})-50=(\frac{3}{12}+\frac{4}{12})-50=\frac{7}{12}-50=\frac{-593}{15}\)
15- Choice D is correct
To find the discount, multiply the number (\(100\%\)- rate of discount)
Therefore; \(450(100\%-16\%)=450(1-0.16)=450-(450×0.16)\)
16- Choice A is correct
1,400 out of 11,900 equals to \(\frac{1,400}{11,900}=\frac{200}{1,700}=\frac{2}{17}\)
17- Choice C is correct
The opposite of Nicolas’s integer is \(25\). So, the integer is \(-25\). The absolute value of \(25\) is also \(25\).
18- Choice B is correct
Volume of a box = length × width × height = 7 × 4 × 12 = 336
19- Choice C is correct
1 yard = 3 feet, Therefore, \(33,759 ft×\frac{1 \space yd}{3 \space ft}=11,253\) yd
20- Choice B is correct
\(16\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(16\%\) of \(x=38\) ml ⇒ \(0.16x=38 ⇒ x=38÷0.16=237.5\)
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
- Types Of Angles In Geometry
- How to Understand Random Sampling and Variation in Samples?
- How to Use the Associative and Commutative Properties to Multiply
- 3rd Grade NYSE Math FREE Sample Practice Questions
- Alternating Series
- Block by Block: How to Complete Decimal Division Equations
- How to Find Percent of Increase and Decrease? (+FREE Worksheet!)
- Quadrilaterals and Rectangles
- How to Use Measures of Center and Spread to Compare Populations
- How to Multiply Monomials? (+FREE Worksheet!)
What people say about "Full-Length 6th Grade PSSA Math Practice Test-Answers and Explanations - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.