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This page shows questions in the Math 3 2024 public release module at MSDE. 3rd Grade Math
"Math 3 2024"

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Expand All Official Practice Test

This is a multiple choice question that allows you to select only one option.

A teacher arranged 42 bottle caps into 7 rows with the same number of bottle caps in each row.

Which expression can be used to find the number of bottle caps the teacher put in each row?

  1. A.
    42÷7
  2. B.
    42÷6
  3. C.
    42×7
  4. D.
    42×6
i1

Correcti2

Incorrecti3

Incorrecti4

Incorrect

This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.

What fraction is represented by the point on the number line?

The figure shows a number line with seven evenly spaced tick marks. From left to right, the first tick mark is labeled 0, and the seventh tick mark is labeled 1. A point is graphed on the second tick mark from the left, which is one tick mark to the right of 0 and five tick marks to the left of 1.

Enter your answer as a fraction in the spaces provided.

fraction bar

This is a multiple choice question that allows you to select only one option.

The following bar graph shows the number of cars of each color that passed by a school during a certain period of time.

The figure shows a bar graph with 4 bars, titled Cars. The vertical axis is labeled, Number of Cars, and the numbers 0, through 16, are shown. The horizontal axis is labeled, Color, and the categories for Red, Silver, Black, and White, are shown. The information in the graph is as follows,:Color, Red. Number of Cars, 8,.Color, Silver. Number of Cars, 15,.Color, Black. Number of Cars, 9,.Color, White. Number of Cars, 3,.

How many more silver cars passed by the school than black cars and white cars combined?

Select one answer.

  1. A.
    3
  2. B.
    4
  3. C.
    6
  4. D.
    7

This is a question with 3 parts, including a fill in the blank question that allows you to enter only numbers.

Complete each of the following three equations.

Enter your three answers in the spaces provided.

8× =48

=21÷3

45÷9=

This is a multiple choice question that allows you to select only one option.

Which shape is partitioned into fourths?

Select one answer.

  1. A.
    The figure shows a cross partitioned into five equal parts.
  2. B.
    The figure shows an octagon partitioned into four equal parts.
  3. C.
    The figure shows a square partitioned into three triangles that are not equal in size.
  4. D.
    The figure shows a triangle partitioned into four rows that are not equal in size.

This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.

A student divided a sheet of paper into sections of equal size.

The student drew flowers on some of the sections as shown.

The figure shows a rectangle divided into eight equal sections. Three sections have flowers drawn in them, and five sections are blank.

On what fraction of the sections of paper did the student draw flowers?

Enter your answer as a fraction in the spaces provided.

fraction bar

This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

What is the result when an even number is multiplied by 5 ?

Select from the lists of choices to complete the statement.

The result will always be an  
  number, and the digit in the ones place will always be  
 

This is a multiple choice question that allows you to select several options.

Which two number lines show points that represent equivalent fractions?

Select the two correct answers.

  1. A.
    The figure shows a number line with 8 evenly spaced tick marks. From left to right, 0 is labeled at the first tick mark, 1 is labeled at the third tick mark, and a point is graphed on the seventh tick mark.
  2. B.
    The figure shows a number line with 11 evenly spaced tick marks. From left to right, 0 is labeled at the first tick mark, 1 is labeled at the fourth tick mark, and a point is graphed on the fourth tick mark.
  3. C.
    The figure shows a number line with 14 evenly spaced tick marks. From left to right, 0 is labeled at the first tick mark, 1 is labeled at the fifth tick mark, and a point is graphed on the thirteenth tick mark.
  4. D.
    The figure shows a number line with twenty seven evenly spaced tick marks. From left to right, 0 is labeled at the first tick mark, a point is graphed on the seventh tick mark, and 1 is labeled at the ninth tick mark.
  5. E.
    The figure shows a number line with 20 evenly spaced tick marks. From left to right, 0 is labeled at the first tick mark, 1 is labeled at the seventh tick mark, and a point is graphed on the thirteenth tick mark.
i1

Correcti3

Correcti2

Incorrecti4

Incorrecti5

Incorrect

This is a multiple choice question that allows you to select only one option.

The following figure shows the rectangular floor of Mr. Soto’s garage. Mr. Soto will paint the entire floor.

The figure shows a rectangular garage that has a length of 7 yards and a width of 4 yards.

Which equation represents the amount of space that Mr. Soto will paint?

Select one answer.

  1. A.
    4+7=11 yards
  2. B.
    4×2+7×2=22 yards
  3. C.
    4×7=28 square yards
  4. D.
    4×2×7×2=112 square yards
i3

Correcti1

Adds given valuesi2

Determines perimeteri4

Doubles dimensions as would be done with perimeter, and then multiplies the results as would be done with area

This is a fill in the blank question that allows you to enter only numbers.

What is the value of the following expression?

308+97

Enter your answer in the space provided.

This is a multiple choice question that allows you to select several options.

An expression is shown. 3×10

Which two expressions have the same value as the given expression?

Select the two correct answers.

  1. A.
    3×(2+5)
  2. B.
    3×(5+5)
  3. C.
    (3×2)+(3×5)
  4. D.
    (3×5)+(3×5)
  5. E.
    (3×5)×(3×5)

This is a multiple choice question that allows you to select only one option.

Which comparison is true?

Select one answer.

  1. A.
    12<13
  2. B.
    23>24
  3. C.
    36<16
  4. D.
    48>58

This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

A student wants to put a border around a notebook that measures 8 inches wide and 10 inches long.

The student thinks that the perimeter of the notebook is 18 inches because eight plus 10 equals 18.

Complete the sentence to explain how to correct the student’s thinking.

Select from the drop-down menus to correctly complete the sentence.

The student should have  
  then  
  and then added the two products.

This is a multiple choice question that allows you to select several options.

Wylie Elementary School has students in 1st through 6th grade.

The table shows the number of present and absent students for different grades on a certain day.

School Attendance
Grade Number of Students Present Number of Students Absent
2nd grade 185 14
3rd grade 104 13
4th grade 196 18

Which two questions could be answered based on the information in the table?

Select the two correct answers.

  1. A.
    What is the total number of students in the school?
  2. B.
    What is the total number of students who are in the 1st grade?
  3. C.
    What is the total number of students who are in the 4th grade?
  4. D.
    What is the total number of absent students on that day in the 2nd grade and the 3rd grade?
  5. E.
    What is the total number of present students on that day in the 5th grade and the 6th grade?

This is a test question that allows you to enter extended text in your response.

A teacher is making supply boxes for her students to use when they work in groups.

  • There are 9 supply boxes.
  • Each supply box will have 6 colored markers.
  • The teacher has 15 colored markers to put in the supply boxes.

The teacher thinks that 39 more markers are needed to fill the supply boxes because 6×9=54 and 54 minus 15 equals 39.

Explain why the teacher’s thinking is correct by explaining what the two equations represent in the problem.

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

There is no alt-text. (37 files were searched.)

Holistic Rubric for 3-Point Reasoning Constructed Response Items

Sample Top Score Response

There are 9 supply boxes and each box will need 6 colored markers, so the equation 6×9=54 means that the teacher needs a total of 54 colored markers to fill the supply boxes.

The teacher needs 54 colored markers and the teacher already had 15 colored markers, so the equation 54−15=39 means that the teacher needs 39 more colored markers to fill the supply boxes.

The teacher’s thinking is correct.

Points

Sample Characteristics

3 Points

A three-point response for reasoning items provides evidence of correct, complete, and appropriate mathematical reasoning.

The response may:

  • be clear and well developed with logical reasoning communicated by the use of precise and appropriate representations, symbols, drawings, or mathematical vocabulary.
  • contain minor flaws that do not detract from the correct reasoning or demonstration of a thorough understanding.

2 Points

A two-point response for reasoning items provides evidence of partially correct mathematical reasoning.

The response may:

  • display an incomplete reasoning process.
  • contain minor flaws that detract from the correct reasoning or demonstration of a thorough understanding.

1 Point

A one-point response for reasoning items provides limited evidence of correct mathematical reasoning.

The response may:

  • demonstrate the beginning of a valid chain of reasoning.
  • reflect a lack of essential understanding of the underlying mathematical concepts.
  • contain the correct solution, but work is limited or missing.
  • contain errors in the fundamental mathematical procedures or reasoning.
  • contain omissions or irregularities that lead to an inadequate solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a multiple choice question that allows you to select only one option.

A gardener has a rectangular garden.

  • The length of the garden is 6 feet.
  • The width of the garden is 3 feet.

Which expression could be used to find the area, in square feet, of the garden?

  1. A.
    6+3
  2. B.
    6−3
  3. C.
    6×3
  4. D.
    6÷3

This is a test question that allows you to enter extended text in your response.

A pet store owner built two rectangular dog pens next to each other.

The picture shows the floors of the two dog pens.

The figure shows two rectangles next to each other. One rectangle has a length of 8 feet and a width of 6 feet. One rectangle has a length of 10 feet and a width of 9 feet.

The pet store owner will cover the floors of the dog pens with concrete.

What is the total area, in square feet , of the floors of the two dog pens?

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

There is no alt-text. (37 files were searched.)

Holistic Rubric for 3-Point Modeling Constructed Response Items

Sample Top Score Response

The area of the smaller rectangle that is 8 × 6 is 48 square feet.

The area of the larger rectangle that is 10 × 9 is 90 square feet.

The area of both rectangles is 48 + 90 = 138 square feet.

Points

Sample Characteristics

3 Points

A three-point response provides full and complete evidence of the modeling process used to solve a real-world problem.

The response may:

  • identify the problem that needs to be solved.
  • determine information that is needed to solve the problem.
  • communicate an accurate, organized solution path that is aligned to the problem using appropriate, effective, and precise representations.
  • contain minor flaws that do not detract from correct modeling or demonstration of a thorough understanding.
  • evaluate or validate a partial or complete solution and show how to improve or refine the solution.

2 Points

A two-point response provides partial evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially identify the problem that needs to be solved.
  • determine some of the information that is needed to solve the problem.
  • include a partial solution path that may be incomplete.
  • contain some errors in identifying the mathematics that is needed to solve the problem.
  • evaluate or validate a partial or complete solution and attempt to improve or refine the solution.

1 Point

A one-point response provides limited evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially or incorrectly identify the problem that needs to be solved.
  • determine a minimal amount of the information that is needed to solve the problem.
  • include an incomplete or unorganized solution path.
  • contain errors in identifying the mathematics that is needed to solve the problem.
  • contain the correct solution, but work is limited or missing.
  • evaluate or validate a partial or complete solution but does not show how to improve or refine the solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

A point is shown on the number line.

The figure shows a number line with nine evenly spaced tick marks. From left to right, the first tick mark is labeled 0, and the ninth tick mark is labeled 1. A point is graphed on the tick mark labeled 1.

Complete the sentence to compare the numbers represented by the point on the number line.

Select from the drop-down menus to correctly complete the sentence.

The point on the number line can be used to show that  
  and  
  .

This is a multiple choice question that allows you to select only one option.

Diana had 63 feet of rope. She cut the rope into 7 pieces of equal length.

Which expression represents the length, in feet, of each piece of rope?

Select one answer.

  1. A.
    63×7
  2. B.
    63−7
  3. C.
    63+7
  4. D.
    63÷7

This is a multiple choice question that allows you to select several options.

In which three figures does the shaded part represent 12 of the figure?

Select the three correct answers.

  1. A.
    The figure shows a rectangle that has been divided into four equal sections. Two sections are shay did, and two sections are unshay did.
  2. B.
    The figure shows a rectangle that has been divided into eight equal sections. Four sections are shay did, and four sections are unshay did.
  3. C.
    The figure shows a rectangle that has been divided into four unequal sections. There are two small sections of the same size, and there are two large sections of the same size. The two small sections are shay did, and the two large sections are unshay did.
  4. D.
    The figure shows a rectangle that has been divided into six equal sections. Three sections are shay did, and three sections are unshay did.
  5. E.
    The figure shows a rectangle that has been divided into three equal sections. Two sections are shay did, and one section is unshay did.

This is a multiple choice question that allows you to select only one option.

The figure shows a garden.

The figure is composed of two rectangles that do not overlap.

The figure shows a diagram of a garden that is composed of two rectangles. One rectangle is 9 feet long by 4 feet wide. The other rectangle is 6 feet long by 6 feet wide.

What is the area, in square feet, of the garden?

  1. A.
    38
  2. B.
    61
  3. C.
    72
  4. D.
    90
i3

Correcti1

Added all sidesi2

Multiplied 9 x 4 then added all other side lengthsi4

Multiplied the left side by the bottom

This is a matching question that allows you to match elements from one list with those on another list.

The following table shows three shapes. Determine whether each shape is a quadrilateral.

Select one box per row.

Shape Is a quadrilateral Is not a quadrilateral
Shape 1
Shape 2
Shape 3

This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.

Point W represents a fraction on the number line.

The figure shows a number line with, from left to right, the numbers 0 and 1. Two tick marks are shown between the numbers 0 and 1. Point W is located at the second tick mark between the numbers 0 and 1.

Enter a fraction that is represented by point W .

Enter your answer as a fraction in the spaces provided.

fraction bar

This is a multiple choice question that allows you to select only one option.

Terry bought 2 bags of beans. The mass of each bag, in grams, is shown on the scales.

The figure shows two weighing scales, one on the left and one on the right. The face of the scale has 20 evenly spaced tick marks. The first tick mark is located at the top and is labeled, “0”. Going clockwise, the eleventh tick mark is directly below the “0”, and is labeled, “500”. A bag of beans has been placed on top of each scale. The scale on the left shows a needle pointing to the sixth tick mark. The scale on the right shows a needle pointing to the eighth tick mark.

How many grams of beans did Terry buy in all?

Select one answer.

  1. A.
    700 grams
  2. B.
    650 grams
  3. C.
    600 grams
  4. D.
    550 grams
i3

Correcti1

Reads measures each as 350i2

Miscalculates by 50i4

Miscalculates by 50

This is a test question that allows you to select a spot or region on a graphic.

Round 148 to the nearest ten.

Plot your rounded answer on the following number line.

Select a place on the number line to plot the point.

This is a multiple choice question that allows you to select several options.

Which two equations could be used to find the result of 7×5?

Select the two correct answers.

  1. A.
    5÷35=7
  2. B.
    7÷35=5
  3. C.
    35÷7=5
  4. D.
    5+5+5+5+5=35
  5. E.
    7+7+7+7+7=35

This is a fill in the blank question that allows you to enter only numbers.

Byron will write a fraction that is equivalent to 1. The denominator is 2.

The figure shows the math equation, 1 equals the fraction, blank, over 2.

What number will Byron use in the numerator to write the fraction?

Enter your answer in the space provided.

This is a multiple choice question that allows you to select only one option.

The picture shows marbles in jars.

The figure shows a picture of 4 jars. Each jar has 8 marbles in it.

Which expression could be used to find the total number of marbles in the jars?

  1. A.
    4×8
  2. B.
    4+8
  3. C.
    4+4+4+4
  4. D.
    8+8+8+8+8+8+8+8
i1

Correcti2

Confused with the incorrect operationi3

Confused with a related operation with the incorrect number of addendsi4

Confused with a related operation with the incorrect number of addends

This is a multiple choice question that allows you to select several options.

A window is in the shape of a rectangle. The perimeter of the window is 24 feet.

Which two pairs of measurements could be the length and width of the window?

Select the two correct answers.

  1. A.
    Length is 4 feet and width is 6 feet
  2. B.
    Length is 7 feet and width is 5 feet
  3. C.
    Length is 8 feet and width is 3 feet
  4. D.
    Length is 9 feet and width is 3 feet
  5. E.
    Length is 12 feet and width is 12 feet
  6. F.
    Length is 14 feet and width is 10 feet
i2

Correcti4

Correcti1

Finds dimensions that yield an area of 24 feeti3

Finds dimensions that yield an area of 24 feeti5

Finds dimensions that total 24 feeti6

Finds dimensions that total 24 feet

This is a multiple choice question that allows you to select only one option.

A gym teacher took some bags of soccer balls to the soccer field.

The teacher put 6 soccer balls in each bag.

What other information is needed to find how many bags of soccer balls the teacher took to the field?

  1. A.
    the total number of students in the gym class
  2. B.
    the total number of players on the school’s soccer team
  3. C.
    the total number of soccer balls the teacher took to the field
  4. D.
    the total number of soccer balls each group of students will get

This is a multiple choice question that allows you to select only one option.

A student made 20 necklaces.

  • The student put 5 beads on each necklace.
  • There were 10 beads in each package.

Which statement explains the student’s correct thinking to find the total number of beads the student used to make all the necklaces?

  1. A.
    The student thinks that there are 20 necklaces and there are 10 beads in each package, and 20÷10=2.
  2. B.
    The student thinks that there are 20 necklaces and there are 10 beads in each package, and 20×10=200.
  3. C.
    The student thinks that there are 20 necklaces and there are 5 beads on each necklace, and 20÷5=4.
  4. D.
    The student thinks that there are 20 necklaces and there are 5 beads on each necklace, and 20×5=100.
i4

Correcti1

Confused with the number of beads on each necklace with the number of beads in each package and confused the operationi2

Confused with the number of beads on each necklace with the number of beads in each packagei3

Confused the operation

This is a question with 2 parts, including a test question that allows you to enter extended text in your response.

Rafael will cover a rectangular board with square labels. He will buy packages of square labels. Each package contains 6 labels of the same size.

The following figure shows the side lengths of the board and of one label.

The figure shows a diagram of a board and a label. The board is 12 inches long and 8 inches wide. The label is 1 inch long and 1 inch wide.

Part A

What is the least number of labels Rafael needs to cover the board? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Part B

What is the least number of packages of labels Rafael should buy? Show your work or explain how you found your answer.

Enter your answer and your work or explanation in the space provided. You may use the drawing tool to help explain or support your answer.

Drawing Box

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Holistic Rubric for 3-Point Modeling Constructed Response Items

Sample Top Score Response

Part A

The number of labels that Rafael needs is found by calculating the area of the board. The area is calculated by multiplying the length by the width of the board. The length is 12 inches and the width is 8 inches. The area, in square inches, of the board is 8×12=96. The area, in square inches, of each label is 1×1=1. The number of labels needed to cover the board is 96.

Part B

The least number of packages of labels is found by dividing the number of labels by the number of labels in each package. Rafael needs 96 labels. There are 6 labels in each package. 96÷6=16 So, Rafael needs 16 packages of labels.

Points

Sample Characteristics

3 Points

A three-point response provides full and complete evidence of the modeling process used to solve a real-world problem.

The response may:

  • identify the problem that needs to be solved.
  • determine information that is needed to solve the problem.
  • communicate an accurate, organized solution path that is aligned to the problem using appropriate, effective, and precise representations.
  • contain minor flaws that do not detract from correct modeling or demonstration of a thorough understanding.
  • evaluate or validate a partial or complete solution and show how to improve or refine the solution.

2 Points

A two-point response provides partial evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially identify the problem that needs to be solved.
  • determine some of the information that is needed to solve the problem.
  • include a partial solution path that may be incomplete.
  • contain some errors in identifying the mathematics that is needed to solve the problem.
  • evaluate or validate a partial or complete solution and attempt to improve or refine the solution.

1 Point

A one-point response provides limited evidence of the modeling process used to solve a real-world problem.

The response may:

  • partially or incorrectly identify the problem that needs to be solved.
  • determine a minimal amount of the information that is needed to solve the problem.
  • include an incomplete or unorganized solution path.
  • contain errors in identifying the mathematics that is needed to solve the problem.
  • contain the correct solution, but work is limited or missing.
  • evaluate or validate a partial or complete solution but does not show how to improve or refine the solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a test question that allows you to enter extended text in your response.

A farmer has a field with 4 rows of apple trees.

There are 9 trees in each row.

Write an expression that could be used to find the total number of apple trees the farmer has in the field.

Enter your expression in the space provided. Enter only your expression.

This is a test question that allows you to enter extended text in your response.

A student has several pennies.

The student organized the pennies into the array shown.

The figure shows an array of 20 pennies arranged in 5 columns and 4 rows.

The student wants to put all the pennies in stacks with the same number of pennies in each stack.

Explain three different ways the student could put the pennies in stacks with the same number of pennies in each stack.

Explain how you used the array of pennies to help you find the different ways to stack the pennies.

Enter your answer and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

There is no alt-text. (37 files were searched.)

Holistic Rubric for 3-Point Reasoning Constructed Response Items

Sample Top Score Response

There are 4 rows of pennies in the array so the student could make 4 stacks of pennies. Since there are 5 pennies in each row, there would be 5 pennies in each stack.

There are 5 columns of pennies in the array, so the student could make 5 stacks of pennies. Since there are 4 pennies in each column, there would be 4 pennies in each stack.

If I divide the array in half between the second and third rows, there would be 10 pennies in the top two rows and 10 pennies in the bottom two, so the student could make 2 stacks of pennies with 10 pennies in each stack.

Points

Sample Characteristics

3 Points

A three-point response for reasoning items provides evidence of correct, complete, and appropriate mathematical reasoning.

The response may:

  • be clear and well developed with logical reasoning communicated by the use of precise and appropriate representations, symbols, drawings, or mathematical vocabulary.
  • contain minor flaws that do not detract from the correct reasoning or demonstration of a thorough understanding.

2 Points

A two-point response for reasoning items provides evidence of partially correct mathematical reasoning.

The response may:

  • display an incomplete reasoning process.
  • contain minor flaws that detract from the correct reasoning or demonstration of a thorough understanding.

1 Point

A one-point response for reasoning items provides limited evidence of correct mathematical reasoning.

The response may:

  • demonstrate the beginning of a valid chain of reasoning.
  • reflect a lack of essential understanding of the underlying mathematical concepts.
  • contain the correct solution, but work is limited or missing.
  • contain errors in the fundamental mathematical procedures or reasoning.
  • contain omissions or irregularities that lead to an inadequate solution.

0 Point

A zero-point response is completely incorrect, incoherent or irrelevant.

This is a multiple choice question that allows you to select several options.

A student wrote the expression 7+7+7+7+7 to find the value of 7×5.

The student said that when writing a different expression to represent 7×5 , only the numbers 7 and 5 can be used.

Which two expressions could be used to show that the student’s response is incorrect?

Select the two correct answers.

  1. A.
    5×7
  2. B.
    (4+5)×(3+5)
  3. C.
    (4×5)+(3×5)
  4. D.
    (7+3)×(7+2)
  5. E.
    (7×3)+(7×2)
i3

Correcti5

Correcti1

Used the given digitsi2

Reversed multiplication and additioni4

Reversed multiplication and addition