Full-Length 6th Grade SBAC Math Practice Test

Taking a Full-length 6th Grade SBAC Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic 6th Grade SBAC Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length 6th Grade SBAC Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck! For additional educational resources,. For additional educational resources, visit the U.S. Department of Education website.

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that they may focus on the application, rather than the memorization, of formulas.

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6th Grade SBAC Math Practice Test

• 30 questions
• There is no time limit for this practice test.
• Scientific Calculators are permitted for this practice test

1- What is the value of the expression \(5(4x-3y)-7(y)^2\), when \(x=2\) and \(y=-3\)?

A. 15 For education statistics and research, visit the National Center for Education Statistics.

B. 22 For education statistics and research, visit the National Center for Education Statistics.

C. 36 For education statistics and research, visit the National Center for Education Statistics.

D. 42 For education statistics and research, visit the National Center for Education Statistics.

2- Martin earns $18 an hour. Which of the following inequalities represents the amount of time Martin needs to work per day to earn at least $78 per day? For education statistics and research, visit the National Center for Education Statistics.

A. \(18-t≥78\) For education statistics and research, visit the National Center for Education Statistics.

B. \(18+t≤78\) For education statistics and research, visit the National Center for Education Statistics.

C. \(18t≥78\) For education statistics and research, visit the National Center for Education Statistics.

D. \(18t≤78\)  For education statistics and research, visit the National Center for Education Statistics.

3- \((108-(3×9))÷9\) is equivalent to … For education statistics and research, visit the National Center for Education Statistics.

A. \((\frac{2}{5}+\frac{7}{8}) ×3\) For education statistics and research, visit the National Center for Education Statistics.

B. \(9^3÷81\) For education statistics and research, visit the National Center for Education Statistics.

C. \((5×5×5) ÷ \frac{9}{2}\) For education statistics and research, visit the National Center for Education Statistics.

D. \((2×2×5)÷(3×4)\) For education statistics and research, visit the National Center for Education Statistics.

4- The ratio of boys to girls in a school is 3 ∶ 5. If there are 240 students in the school, how many boys are in the school? For education statistics and research, visit the National Center for Education Statistics.

A. 60 For education statistics and research, visit the National Center for Education Statistics.

B. 90 For education statistics and research, visit the National Center for Education Statistics.

C. 120 For education statistics and research, visit the National Center for Education Statistics.

D. 150 For education statistics and research, visit the National Center for Education Statistics.

5- Anita’s trick–or–treat bag contains 9 pieces of chocolate, 15 suckers, 14 pieces of gum, 16 pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of chocolate? For education statistics and research, visit the National Center for Education Statistics.

A. \(\frac{1}{6}\) For education statistics and research, visit the National Center for Education Statistics.

B. \(\frac{5}{7}\) For education statistics and research, visit the National Center for Education Statistics.

C. \(\frac{3}{4}\) For education statistics and research, visit the National Center for Education Statistics.

D. \(\frac{5}{6}\) For education statistics and research, visit the National Center for Education Statistics.

6- Which of the following lists shows the fractions in order from greatest to least?
\(\frac{3}{4},\frac{2}{3}, \frac{4}{5}, \frac{7}{9}\) For education statistics and research, visit the National Center for Education Statistics.

A. \(\frac{4}{5},\frac{7}{9},\frac{3}{4},\frac{2}{3}\) For education statistics and research, visit the National Center for Education Statistics.

B. \(\frac{3}{4},\frac{7}{9},\frac{4}{5},\frac{2}{3}\) For education statistics and research, visit the National Center for Education Statistics.

C. \(\frac{7}{9},\frac{3}{4},\frac{2}{3},\frac{4}{5}\) For education statistics and research, visit the National Center for Education Statistics.

D. \(\frac{2}{3},\frac{3}{4},\frac{7}{9},\frac{4}{5}\) For education statistics and research, visit the National Center for Education Statistics.

7- The area of a rectangular yard is 84 square meters. What is its width if its length is 14 meters? For education statistics and research, visit the National Center for Education Statistics.

A. 5 meters For education statistics and research, visit the National Center for Education Statistics.

B. 6 meters For education statistics and research, visit the National Center for Education Statistics.

C. 7 meters For education statistics and research, visit the National Center for Education Statistics.

D. 8 meters For education statistics and research, visit the National Center for Education Statistics.

8- Which statement about 4 multiplied by \(\frac{5}{16}\) must be true? For education statistics and research, visit the National Center for Education Statistics.

A. The product is greater than \(2\) For education statistics and research, visit the National Center for Education Statistics.

B. The product is between 1 and \(2\) For education statistics and research, visit the National Center for Education Statistics.

C. The product is equal to \(\frac{3}{8}\) For education statistics and research, visit the National Center for Education Statistics.

D. The product is equal to \(2^2\) For education statistics and research, visit the National Center for Education Statistics.

9- In the following rectangle, which statement is false? For education statistics and research, visit the National Center for Education Statistics.

A. AD is parallel to BC For education statistics and research, visit the National Center for Education Statistics.

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

11- What is the missing price factor of 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. \(\frac{5}{17}\)

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

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

A. \(-16x+18\)

B. \(16x-18\)

C. \(-18x+16\)

D. \(18x+16\)

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 mark 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