School Improvement in Maryland

Sample Items: Mathematics Grade 6

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
Note: This problem is solved without a calculator.


Look at the expression below.
12 + 4 x (12 - 9)

What is the value of the expression?

  1. 24
  2. 48
  3. 51
  4. 55

/toolkit/vsc/assessment_items/msa_math_6_001.xml

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 (2) Selected Response Sample

Look at the line on the coordinate plane below.

Which situation is best represented by the line?

  1. The more hours a person works, the more money that person earns.
  2. The farther a car is driven, the less gas remains in the car's gas tank.
  3. Over several years, the value of Rita's stock market account has remained the same.
  4. John and Mike each studied 45 minutes for a quiz. John scored 80 on the quiz and Mike scored 85 on the quiz.

/toolkit/vsc/assessment_items/msa_math_6_002.xml

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 (3) Selected Response Sample

The measure of the first angle of a triangle is 48°. The measure of the second angle is 32°. What is the measure, in degrees, of the third angle?

  1. 20°
  2. 80°
  3. 100°
  4. 120°

/toolkit/vsc/assessment_items/msa_math_6_003.xml

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 (4) Selected Response Sample

Maurice is given the coordinates of four points (1, 6), (6, 6), (5, 1), and (2, 1).

If he connects the points together, what quadrilateral is created?

  1. a rectangle
  2. a square
  3. a trapezoid
  4. a rhombus

/toolkit/vsc/assessment_items/msa_math_6_004.xml

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 (5) Selected Response Sample

The square chessboard shown below has an area of 144 square inches.

Note: The figure is not drawn to scale.

What is the length, in inches, of one side of the chessboard?

  1. 6 inches
  2. 12 inches
  3. 36 inches
  4. 72 inches

/toolkit/vsc/assessment_items/msa_math_6_005.xml

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 (6) Selected Response Sample

A diagram of Marty's yard is shown below.

Note: The figure is not drawn to scale.

What is the area, in square yards, of Marty's yard?

  1. 106 square yards
  2. 112 square yards
  3. 130 square yards
  4. 136 square yards

/toolkit/vsc/assessment_items/msa_math_6_006.xml

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 (7) Selected Response Sample
Note: This problem is solved without a calculator.


Joshua buys a book that is on sale for off. What is the percent of discount for the price of the book?

/toolkit/vsc/assessment_items/msa_math_6_007.xml

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 (8) Selected Response Sample

George is making two cakes using two different recipes. One recipe uses 1 cups of flour and the other recipe uses 1 cups of flour. What is the total amount of flour, in cups, needed for both recipes?

/toolkit/vsc/assessment_items/msa_math_6_008.xml

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 (9) Selected Response Sample

Reggie is bowling. In the last 50 throws of his bowling ball, Reggie makes a strike 18 times. Based on his last 50 throws, what is the experimental probability that Reggie will make a strike on his next throw?

  1. 0.09
  2. 0.18
  3. 0.27
  4. 0.36

/toolkit/vsc/assessment_items/msa_math_6_009.xml

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 (10) Selected Response Sample

Kathy tosses a penny 24 times. The penny lands either with the head side showing or the tail side showing. The data below shows how the penny lands each time.

Kathy tosses the penny 100 more times. Based on the experimental probability determined from the data, what percent of times do you expect the penny will land on heads?

  1. 18%
  2. 25%
  3. 42%
  4. 75%

/toolkit/vsc/assessment_items/msa_math_6_010.xml

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 (11) Selected Response Sample

Fernando surveys the students at his school to find out their favorite type of music. The results are shown in the circle graph below.

What is the percent of students who chose rap or country as their favorite type of music?

  1. 18%
  2. 19%
  3. 37%
  4. 55%

/toolkit/vsc/assessment_items/msa_math_6_011.xml

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 (12) Selected Response Sample

Pascal records the scores from a basketball team's last 24 games, as shown below.

He displays the scores in this frequency table. Pascal's frequency table contains an error.

Which statement best describes the error in Pascal's frequency table?

  1. The 75–79 range has too few scores.
  2. The 80–84 range has too many scores.
  3. The total frequency is too low.
  4. The total frequency is too high.

/toolkit/vsc/assessment_items/msa_math_6_012.xml

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 (13) Selected Response Sample

Look at the expression below.

36 ÷ 3 + 6 x 2



What is the value of the expression?

  1. 2
  2. 8
  3. 24
  4. 36

/toolkit/vsc/assessment_items/msa_math_6_015.xml

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 (14) Selected Response Sample
Look at the expression below.


Which expression has a value of 24?

  1. 6 + 2 x 3
  2. 2 x 3 + 6 x 2
  3. 4 (2 + 4)
  4. 3 (7 + 3)

/toolkit/vsc/assessment_items/msa_math_6_016.xml

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 (15) Selected Response Sample

Look at the line segments drawn in each geometric figure below.

geometric figures

Which geometric figure shows a line segment that is also a diagonal?

/toolkit/vsc/assessment_items/msa_math_6_018.xml

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 (16) Selected Response Sample

Jake draws hexagon KLMNPQ, as shown below.

polygon KLMNPQ

What is the greatest number of diagonals Jake can draw from any one vertex?

  1. 3
  2. 4
  3. 5
  4. 6

/toolkit/vsc/assessment_items/msa_math_6_019.xml

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 (17) Selected Response Sample

Allison plays baseball. In the last 25 times at bat she made a hit 4 times. Based on her last 25 at bats, what is the experimental probability that Allison will make a hit on her next time at bat?

  1. 0.04
  2. 0.16
  3. 0.25
  4. 0.40

/toolkit/vsc/assessment_items/msa_math_6_021.xml

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 (18) Selected Response Sample

A desk drawer contains 6 black pens, 5 blue pens, 4 red pens, and 5 green pens. Ron picks one pen from the drawer without looking. What is the probability Ron picks a blue pen?

  1. 0.05
  2. 0.10
  3. 0.25
  4. 0.50

/toolkit/vsc/assessment_items/msa_math_6_022.xml

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 (19) Selected Response Sample

Jenn is practicing her basketball shooting. She took 25 practice shots and her results are listed below.

Made Missed Missed Made Made
Missed Made Made Missed Missed
Missed Made Made Made Made
Made Missed Made Missed Made
Made Made Missed Made Missed

Based on the results, what is the experimental probability she will make the next shot?

  1. 10%
  2. 15%
  3. 40%
  4. 60%

/toolkit/vsc/assessment_items/msa_math_6_024.xml

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 (20) Selected Response Sample

Marla rolled a number cube 30 times and her results are shown below.

4 5 1 3 6 3 4 2 3 5
1 2 2 2 6 5 3 5 4 1
6 5 2 3 4 1 5 3 3 1

Based on her results, what is the experimental probability that Marla will roll an even number on her next roll?

  1. 0.12
  2. 0.18
  3. 0.40
  4. 0.60

/toolkit/vsc/assessment_items/msa_math_6_025.xml

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 (21) Selected Response Sample

The perimeter of quadrilateral KLMN, as shown below, is 157 meters.

geometric image

What is the measure, in meters, of line segment mn?

  1. 57 meters
  2. 58 meters
  3. 59 meters
  4. 68 meters

/toolkit/vsc/assessment_items/msa_math_6_027.xml

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 (22) Selected Response Sample

Look at square RSTU shown below.

geometric image

The perimeter of RSTU is 144 inches. What is the measure, in inches, of line segment st?

  1. 12 inches
  2. 36 inches
  3. 72 inches
  4. 288 inches

/toolkit/vsc/assessment_items/msa_math_6_028.xml

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 (23) Selected Response Sample

The Hot Shot Soccer Team and the Super Stars Soccer Team will flip a coin to see which team will kick off first. How likely is it that the Hot Shots will win the kick off?

  1. least likely
  2. less likely
  3. more likely
  4. equally likely

/toolkit/vsc/assessment_items/msa_math_6_030.xml

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 (24) Brief Constructed Response Sample

Look at the equation below.
x - 17.32 = 28.7

Step A

Solve the equation for x.

Step B

Explain why your value for x is correct. Use what you know about solving equations in your explanation. Use words, numbers, and/or symbols.

/toolkit/vsc/assessment_items/msa_math_6_013.xml

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 (25) Brief Constructed Response Sample

Look at the expression below.

90 - 48 ÷ 6 + 2



Step A

What is the value of this expression?

Step B

Explain why the value you determined is correct. Use what you know about order of operations in your explanation. Use words, numbers, and/or symbols in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_017.xml

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 (26) Brief Constructed Response Sample

Look at the pentagon RSTUV below.

pentagon RSTUV

Step A

How many diagonals can be drawn from vertex R?

Step B

Use what you know about line segments to explain how you determined your answer. Use words, pictures and/or numbers in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_020.xml

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 (27) Brief Constructed Response Sample

Amelia tossed a paper cup 10 times. The cup lands either on its side, on its base or on its top. The data below shows how the cup landed each time.

Base Side Side Base Side
Top Side Side Side Top

Step A

If Amanda tosses the cup now, what is the probability that it will land on its side? Express your answer as a decimal.

Step B

Explain how you determined your answer. Use what you know about probability in your explanation. Use words, numbers, and/or symbols in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_023.xml

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 (28) Brief Constructed Response Sample

Juan flipped a coin 20 times. The results are listed below.

Heads Tails Tails Tails Heads
Tails Heads Tails Heads Tails
Heads Tails Heads Tails Heads
Tails Tails Tails Heads Heads

Step A

Based on Juan's results, what is the experimental probability that the coin will land on heads the next time it is flipped?

Step B

Explain why your answer is correct. Use what you know about probability in your explanation. Use words, numbers, and/or symbols in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_026.xml

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 (29) Brief Constructed Response Sample

The perimeter of a rectangular yard is 200 feet. The measure of its width is 40 feet.

Step A

What is the length, in feet, of its length?

Step B

Use what you know about perimeter to explain how you determined the length. Use words, numbers, and/or symbols in your explanation.

Use what you know about perimeter to explain why the length you determined is correct. Use words, numbers, and/or symbols in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_029.xml

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 (30) Extended Constructed Response Sample

The owner of a trucking company records the number of miles driven by 15 truck drivers in one week, as shown below.

The owner begins to display the data on a stem-and-leaf plot.

Step A

Complete the stem of the stem-and-leaf plot for the data

Step B

  • Explain why the stem you completed is correct. Use what you know about stem-and-leaf plots in your explanation. Use words, data, and/or symbols.
  • Suppose that the number 369 is added to the data set. Explain how the stem of the stem-and-leaf plot will change. Use words, data, and/or symbols in your explanation.

/toolkit/vsc/assessment_items/msa_math_6_014.xml

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