Full-Length 6th Grade FSA Math Practice Test-Answers and Explanations
Did you take the 6th Grade FSA 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 FSA 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, 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\(=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{9+15+14+16}=\frac{9}{54}\frac{1}{6}=0.16\)
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; \(14×y=84→y=\frac{84}{14}=6\)
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
\(\frac{824}{17}=48.5\)
The Absolute Best Book to Ace the FSA Math Test
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 ⇒ \(0.16x=38 ⇒ x=38÷0.16=237.5\)
21- Choice C is correct
\((-2)(9x-8)=(-2)(9x)+(-2)(-8)=-18x+16\)
22- Choice D is correct
1 pt = 16 fluid ounces. \(576÷16=36\)
Then: 576 fluid ounces = 36 pt
23- Choice D is correct
1 kg = 1000 g and 1 g = 1000 mg,
120 kg = 120 × 1000 g = 120 × 1000 × 1000 = 120,000,000 mg
24- Choice C is correct
The diameter of a circle is twice the radius. Radius of the circle is \(\frac{14}{2}=7\).
Area of a circle \(= πr^2=π(7)^2=49π=49×3.14=153.86≅153.9\)
25- Choice B is correct
Average (mean) \(=\frac{sum \space of \space terms}{number \space of \space terms}=\frac{15+17+12+16+21+23}{6}=\frac{104}{6}=17.33\)
26- Choice C is correct
Prime factorizing of \(18=2×3×3\), Prime factorizing of \(24=2×2×2×3\)
LCM \(= 2×2×2×3×3=72\)
27- Choice B is correct
The coordinate plane has two axes. The vertical line is called the \(y\)-axis and the horizontal is called the \(x\)-axis. The points on the coordinate plane are addressed using the form \((x,y)\). Point A is one unit on the left side of \(x\)-axis, therefore its \(x\) value is 4 and it is two units up, therefore its \(y\) axis is 2. The coordinate of the point is: (4, 2)
28- Choice B is correct
\(α\) and \(β\) are supplementary angles. The sum of supplementary angles is 180 degrees.
\(α+β=180^\circ→α=180^\circ-β=180^\circ-125^\circ=55^\circ,\) Then, \(\frac{α}{β}=\frac{55}{125}=\frac{11}{25}\)
29- Choice C is correct
An opposite number of any number \(x\) is a number that if added to \(x\), the result is 0. Then:
\(7+(-7)=0\) and \(4+(-4)=0\)
30- Choice C is correct
\(16=-129+x\), First, subtract 129 from both sides of the equation. Then:
\(16+129=-129+x+129 →145=x\)
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
- The Ultimate ATI TEAS 7 Math Formula Cheat Sheet
- 3rd Grade Scantron Math Worksheets: FREE & Printable
- How to Write Linear Equations From Y-Intercept and A Slope
- The Virtual Classroom Advantage: How Online Math Tutors Enhance Elementary Math Education
- 10 Most Common 4th Grade ACT Aspire Math Questions
- Top 10 TASC Math Prep Books (Our 2023 Favorite Picks)
- Top 10 Websites to Learn About Scholarships, Federal Aid, and Student Funding
- OAR Math Formulas
- How to Find Integers Equivalent Quotients
- 5 Of the Best Scientific Calculators
What people say about "Full-Length 6th Grade FSA Math Practice Test-Answers and Explanations - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.