# Full-Length PSSA 6 Math Practice Test-Answers and Explanations

Did you take the PSSA 6 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.

## PSSA 6 Math Practice Test Answers and Explanations

1- Choice B is correct
Plug in the value of $$x$$ and $$y$$ and use 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, therefor, 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 boy 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$$=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{9+15+14+16}=\frac{9}{54}\frac{1}{6}=0.16$$

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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
$$\frac{824}{17}=48.5$$

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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 ⇒ $$0.16x=38 ⇒ x=38÷0.16=237.5$$

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