# Sample Items: Mathematics Grade 8

Each sample assessment item gives an idea of how an assessment item on the MSA might be presented. The items appropriately measure the content of the State Curriculum and may be formatted similarly to those appearing on the MSA; however, these are sample items only and have not appeared on any MSA form.

(1) Selected Response Sample
 Look at the sequence below.2, 6, 18, ___, ___, ___, ___, 4374, . . . What is the sixth number in the sequence? 54 162 486 1458 /toolkit/vsc/assessment_items/msa_math_8_001.xml View scoring information

(2) Selected Response Sample
 Note: This problem is solved without a calculator. Look at the expression below.8 • n - 18 + 6 - 5 • n Which expression is equivalent to the given expression? 3 (n - 12) 3 (n + 4) 3 (n - 4) 3 (n - 8) /toolkit/vsc/assessment_items/msa_math_8_002.xml View scoring information

(3) Selected Response Sample
 The distance between the bases on a baseball diamond is 90 feet, as shown below. What is the distance (), in feet, between home plate and second base? Round your answer to the nearest whole number. 90 127 135 180 /toolkit/vsc/assessment_items/msa_math_8_003.xml View scoring information

(4) Selected Response Sample
 The point (3, 4) is plotted on the coordinate plane below. What are the coordinates of the point after a 90° counterclockwise rotation about the origin followed by a translation 5 units to the left? (-9, 3) (-4, 3) (-1, -3) (1, 3) /toolkit/vsc/assessment_items/msa_math_8_004.xml View scoring information

(5) Selected Response Sample
 President Abraham Lincoln was 6 feet 4 inches tall. An artist wants to make a larger-than-life statue of Lincoln using a scale of 1 inch = 2 feet. How tall will the statue be? 12 feet 8 inches 25 feet 4 inches 76 feet 152 feet /toolkit/vsc/assessment_items/msa_math_8_005.xml View scoring information

(6) Selected Response Sample
 Carol is re-finishing her kitchen floor. The dimensions of her kitchen floor are shown below.Note: The figure is not drawn to scale. What is the area, in square feet, of Carol's kitchen floor? Round your answer to the nearest whole number. Use = 3.14. 89 square feet 325 square feet 349 square feet 350 square feet /toolkit/vsc/assessment_items/msa_math_8_006.xml View scoring information

(7) Selected Response Sample
 The earth is approximately 93,000,000 miles from the sun. What is this distance written in scientific notation? 9.3 x 106 93 x 106 93 x 107 9.3 x 107 /toolkit/vsc/assessment_items/msa_math_8_007.xml View scoring information

(8) Selected Response Sample
 Taylor was earning an income of \$1,000 a week. Then his income was reduced by 10%. Two months later, his income increases by 10%. How much is Taylor earning, in dollars, after his income increases? \$990 \$999 \$1,000 \$1,100 /toolkit/vsc/assessment_items/msa_math_8_008.xml View scoring information

(9) Selected Response Sample
 The outcomes for the sum of rolling two number cubes are shown below. What is the probability of getting a sum of 9 when rolling two number cubes?       /toolkit/vsc/assessment_items/msa_math_8_009.xml View scoring information

(10) Selected Response Sample
 Alexandra conducted a survey of 50 candles made by several different workers at a candle factory. She determined that 4% of the candles had mistakes. Based on the results of Alexandra's survey, what prediction can she make about the next 500 candles made by these workers at the factory? 4 candles will have mistakes. 20 candles will have mistakes. 40 candles will have mistakes. 200 candles will have mistakes. /toolkit/vsc/assessment_items/msa_math_8_010.xml View scoring information

(11) Selected Response Sample
 Joey wants to make a circle graph that displays the data in the table below. What will be the angle measure, in whole degrees, for the section that represents Station Wagon? 18° 54° 65° 72° /toolkit/vsc/assessment_items/msa_math_8_011.xml View scoring information

(12) Selected Response Sample
 Ms. Smith gave a quiz last week. The results for two of her classes are shown on the box-and-whisker plots below. Which sentence best describes the quiz results? The medians for the two classes are the same. Class A has a smaller range of scores in the upper quartile than Class B. Class A performed better than Class B. The lower extreme of Class B is greater than the lower extreme of Class A. /toolkit/vsc/assessment_items/msa_math_8_012.xml View scoring information

(13) Selected Response Sample
 Triangles LMN and RST, shown below, are similar. What is the length of ? 4 cm 5 cm 6 cm 15 cm /toolkit/vsc/assessment_items/msa_math_8_016.xml View scoring information

(14) Selected Response Sample
 Trapezoid LMNQ and trapezoid RTSU, shown below, are similar. What is the measure, in degrees, of R 30° 45° 135° 150° /toolkit/vsc/assessment_items/msa_math_8_017.xml View scoring information

(15) Selected Response Sample
 George has a bag of marbles. Inside the bag are 5 red marbles, 3 green marbles, and 2 blue marbles. He draws out two marbles in a row, without replacement. What is the number of outcomes? 10 20 90 100 /toolkit/vsc/assessment_items/msa_math_8_019.xml View scoring information

(16) Selected Response Sample
 At Maryland Middle School, there are 9 mathematics classes. If two mathematics classes are selected for a school competition, what is the number of possible outcomes? 8 9 72 81 /toolkit/vsc/assessment_items/msa_math_8_020.xml View scoring information

(17) Selected Response Sample
 A box contains 5 bags of potato chips, 4 bags of pretzels and 1 bag of corn chips. Andre reaches in the box and randomly picks two bags, one after the other. What is the probability that Andre chooses a bag of potato chips if the first bag was pretzels? /toolkit/vsc/assessment_items/msa_math_8_022.xml View scoring information

(18) Selected Response Sample
 Mr. Rosart selects two students from his class to present their book reports. He places the names of each student in a box and randomly picks one at a time. The class has 14 boys and 12 girls. What is the probability that the second name Mr. Rosart picks is a boy, if the first one is a boy also? Round your answer to the nearest percent. 46% 50% 52% 55% /toolkit/vsc/assessment_items/msa_math_8_023.xml View scoring information

(19) Selected Response Sample
 Look at the box-and-whisker plots below. Populations of Countries in South America and Africa (in millions of people) (source: www.aneki.com) What is the approximate difference between the lower and upper quartiles for South America? 170 100 35 30 /toolkit/vsc/assessment_items/msa_math_8_026.xml View scoring information

(20) Selected Response Sample
 Look at the box-and-whisker plots below. Populations of Countries in South America and Africa (in millions of people) (source: www.aneki.com) Which statement is accurate based on the box-and-whisker plots? The median population of the countries in Africa is less than the median population of the countries in South America. The country with the greatest population in Africa has a greater population than the country with the greatest population in South America. There are more people in Africa than in South America. The lower quartile population of countries in Africa is greater than the median population of countries in South America. (correct answer) /toolkit/vsc/assessment_items/msa_math_8_027.xml View scoring information

(21) Student Produced Response Sample
 Look at the line on the coordinate plane below. What is the slope of the line? /toolkit/vsc/assessment_items/msa_math_8_015.xml View scoring information

(22) Student Produced Response Sample

Parallelograms FGHI and WXYZ are similar.

What is the measure, in inches, of ?

/toolkit/vsc/assessment_items/msa_math_8_018.xml

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(23) Student Produced Response Sample

There are 12 CD's in a bag — 6 rap music, 3 country music, and 3 rock music. Two CD's are selected from the bag. The first CD is not replaced before making the second selection. What is the total number of possible outcomes?

/toolkit/vsc/assessment_items/msa_math_8_021.xml

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(24) Student Produced Response Sample

Douglas has a box with 49 paper clips. Of the paper clips, 15 are yellow, 9 are red, 6 are blue, 11 are orange, and 8 are green. Douglas randomly picks 2 paper clips from the box. If the first paper clip is red, what is the probability that the second paper clip is blue?

/toolkit/vsc/assessment_items/msa_math_8_024.xml

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(25) Student Produced Response Sample

Look at the box-and-whisker plots below.

Populations of Countries in South America and Africa
(in millions of people)

(source: www.aneki.com)

What is the difference in the medians of the two data sets? (Note: 192 should be acceptable.)

/toolkit/vsc/assessment_items/msa_math_8_028.xml

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(26) Brief Constructed Response Sample
 Justine has 6 blue shirts, 2 red shirts, and 5 green shirts in her closet. On Monday, she randomly chooses a blue shirt. She does not put the blue shirt back in the closet. Step A What is the probability that Justine will randomly select a green shirt on Tuesday? Step B Use what you know about probability to explain how you determined the probability that Justine will randomly select a green shirt on Tuesday. Use words, numbers, and/or symbols in your explanation. /toolkit/vsc/assessment_items/msa_math_8_013.xml View scoring information

(27) Brief Constructed Response Sample
 Manny has 5 action DVD's, 4 comedy DVD's, and 7 drama DVD's. A friend borrows one of the drama DVD's. Manny decides to watch one of his remaining DVD's. He randomly picks one to watch. Step A What is the probability that Manny chooses an action DVD? Step B Use what you know about probability to explain how you determined the probability that Manny will randomly select an action DVD. Use words, numbers, and/or symbols in your explanation. /toolkit/vsc/assessment_items/msa_math_8_025.xml View scoring information

(28) Brief Constructed Response Sample
 Marty has a bag with 5 yellow candies, 4 blue candies, 7 green candies, and 3 red candies. His friend, Susan, picks a candy without looking. Step A What color candy is Susan most likely to pick? Step B Explain why your answer is correct. Use what you know about probability in your explanation. Use words and/or numbers in your explanation. /toolkit/vsc/assessment_items/msa_math_8_029.xml View scoring information

(29) Extended Constructed Response Sample
 Cedric is making a scale model of his school. The dimensions of his school and of his model are shown below. Step A What is the length, in feet, of side x of the model? Step B Use what you know about similar polygons to justify why your value of side x is correct. Use words, numbers, and/or symbols in your justification. If Cedric changes the length of his model from 3 feet to 6 feet, explain how this change will affect the value of side x. Use words, numbers, and/or symbols in your explanation. /toolkit/vsc/assessment_items/msa_math_8_014.xml View scoring information