Full-Length 6th Grade FSA Math Practice Test

6th Grade FSA Math Practice Test

Session 1

B. The measure of the sum of all the angles equals \(180^\circ\).

C. Length of AB equal to length DC.

D. AB is perpendicular to AD.

10- Round \(\frac{824}{17}\) to the nearest tenth.

A. 48

B. 48.4

C. 48.5

D. 49

Session 2

Calculators are NOT permitted for Session 2.
Time for Session 2: 60 Minutes

11- What is the missing prime factor of the number \(588\)?
\(588=2^2×3×…\)

12- If the area of the following trapezoid is equal to A, which equation represents \(x\)?

A. \(x=\frac{11}{A}\)

B. \(x=\frac{A}{11}\)

C. \(x=A-11\)

D. \(x=A+11\)

13- By what factor did the number below change from the first to the fourth number?
\(8,72, 648, 5832\)

A. 6

B. 9

C. 12

D. 16

14- 234 is equal to …

A. \(13-(3×6)+(7×(-6))\)

B. \((\frac{25}{400})+(\frac{7}{50})\)

C. \(((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}\)

D. \(\frac{6}{24}+\frac{12}{36}-50\)

15- A car costing $240 is discounted \(16\%\). Which of the following expressions can be used to find the selling price of the car?

A. \((450)(0.16)\)

B. \(450-(450×0.84)\)

C. \((450)(0.16)\)

D. \(450-(450×0.16)\)

16- Mr. Jones saves $1,400 out of his monthly family income of $11,900. What fractional part of his income does Mr. Jones save?

A. \(\frac{2}{17}\)

B. \(\frac{5}{17}\)

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C. \(\frac{7}{17}\)

D. \(\frac{9}{17}\)

17- Nicolas wrote an integer. The opposite of Nicolas’s integer is \(-25\). Which of the following statements about Nicolas’s integer must be true?
I. The integer is \(25\).
I I. The absolute value of the integer is \(-25\).
I I I. The integer is \(-25\).
I V. The absolute value of the integer is \(25\).

A. I and II

B. II and III

C. I and IV

D. III and IV

18- What is the volume of a box with the following dimensions?
Height =7 cm, Width = 4 cm, Length = 12 cm

A. \(312 \space cm^3\)

B. \(336 \space cm^3\)

C. \(362 \space cm^3\)

D. \(395 \space cm^3\)

19- The distance between the two cities is 33,759 feet. What is the distance between the two cities in yards?

A. 9,570 yd

B. 10,920 yd

C. 11,253 yd

D. 13,617 yd

20- A chemical solution contains \(16\%\) alcohol. If there are 38 ml of alcohol, what is the volume of the solution?

A. 195 ml

B. 237.5 ml

C. 369 ml

D. 452.5 ml

Session 3

Calculators are NOT permitted for Session 3.
Time for Session 3: 60 Minutes

21- Which expression is equivalent to \((-2)(9x-8)\)?

A. \(-16x+18\)

B. \(16x-18\)

C. \(-18x+16\)

D. \(18x+16\)

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22- A bottle contains 576 fluid ounces of special chemical solutions. How many pints of chemical solution does the bottle contain?

A. 18 pt

B. 22 pt

C. 30 pt

D. 36 pt

23- Solve: 120 kg= …?

A. 1,200 mg

B. 120,000 mg

C. 1,200,000 mg

D. 120,000,000 mg

24- Calculate the approximate area of the following circle. (the diameter is 14)

A. 97.5

B. 114.8

C. 153.9

D. 216.2

25- The following graph shows the marks of six students in mathematics. What is the mean (average) of the marks?

A. 16.5

B. 17.3

C. 18.2

D. 19

26- What is the lowest common multiple of 18 and 24?

A. 18

B. 48

C. 72

D. 96

27- Which ordered pair describes point \(P\) that is shown below?

A. \((2,4)\)

B. \((4,2)\)

C. \((4, -2)\)

D. \((-2,4)\)

28- What is the ratio between α and \(β(\frac{α}{β})\) in the following shape?

A. \(\frac{5}{12}\)

B. \9\frac{11}{25}\)

C. \(\frac{5}{12}\)

D. \(\frac{25}{11}\)

29- Find the opposite of the numbers \(-4,7\).

A. \(\frac{1}{4},-7\)

B. \(-4,\frac{1}{7}\)

C. \(4,-7\)

D. \(-4,-7\)

30- What is the value of \(x\) in the following equation: \(16=-129+x\)

A. \(85\)

B. \(-85\)

C. \(145\)

D. \(-145\)

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Answers and Explanations