Grade 5 Mathematics Sampler 2022-2023
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Questions and Answers

In the Pennsylvania system of school assessment mathematics item and scoring sampler for grade 5, what is the correct product of 186 and 216 without using a calculator?

  • 45,256
  • 35,642
  • 40,176
  • 42,348 (correct)
  • For the decimal number Q represented in a 10x10 grid as 0.34, what does the shaded part indicate about Q in relation to other numbers?

  • Q is greater than 0.35 and less than 0.36
  • Q is greater than 0.38 and less than 0.41
  • Q is greater than 0.31 and less than 0.33 (correct)
  • Q is greater than 0.25 and less than 0.30
  • Which of the following correctly rounds the numbers 423.757 and 423.256 according to the instructions in the assessment?

  • 423.757 rounded to 423.7, 423.256 rounded to 423.2
  • 423.757 rounded to 423.8, 423.256 rounded to 423.3
  • 423.757 rounded to 423.7, 423.256 rounded to 423.3
  • 423.757 rounded to 423.8, 423.256 rounded to 423.5 (correct)
  • If the number of bees in the large hive is 1200 and the number of bees leaving the small hive is half of the number of bees in the large hive, how many flowers are visited each day by the large hive bees?

    <p>3000</p> Signup and view all the answers

    In the scenario involving Leon selling candy bars, how much money is raised if 5 candy bars are sold?

    <p>$13</p> Signup and view all the answers

    When calculating the volume of the set of stairs, what is the total volume if it is separated into one 1-foot by 8-foot by 5-foot rectangular prism and a larger rectangular prism?

    <p>115 cubic feet</p> Signup and view all the answers

    What is the missing number in the expression mentioned in Question 9, which deals with the amount of juice Andrew has for a party?

    <p>One</p> Signup and view all the answers

    For the data representing the number of pieces served during lunch over three days at the school cafeteria, which pictograph accurately shows two pizzas for each day?

    <p>B</p> Signup and view all the answers

    If Julian has a total of 300 seconds of video content and each video is 1.25 minutes long, how many videos does Julian have?

    <p>250</p> Signup and view all the answers

    What scale should be used for the y-axis to fit all data from a table onto a graph without changing the size of the grid?

    <p>35</p> Signup and view all the answers

    Study Notes

    • Charmin is teaching about the Pennsylvania system of school assessment mathematics item and scoring sampler for grade 5, specifically questions from the sampler for the year 2022 to 2023.
    • Question 1 asks for the product of 372 and 108 without using a calculator, the correct answer is 40,176.
    • Question 2 deals with a 10x10 grid representing a decimal number Q, the shaded part represents the value of Q which is 0.34, and the statement that compares the value of Q with other numbers should indicate that Q is greater than 0.305 and less than 0.35.
    • Question 3 involves checking which number sentence is rounded correctly, the answer is D where 325.64 becomes 325.6 and 325.654 becomes 325.5.
    • Question 4 is about beehives, there are 1050 bees in the large hive and the number of bees leaving the small hive is 0.7 times the number of bees in the large hive, the statement that is true is that the large hive has 2000 flowers visited each day.
    • Question 5 asks which steps should be performed fast when subtracting 1 by five from 5 by seven, the correct answer is D, find a common denominator by multiplying five and seven.
    • Question 6 compares the amount of water in two fishbowls, the answer is C, Aaron's fishball contains 29/40 more water than Brian's fishbowl.
    • Question 7 asks which story matches the expression, the correct answer is A, the story of "Cheap Hands" matches the expression 18 - 3 * 4 / 2.
    • Question 8 asks which operation should be completed first in an expression, the correct answer is B, 24 / 3.
    • Question 9 deals with the amount of juice Andrew has for a party, the missing number in the expression is B, one.
    • Question 10 asks how many values in a number pattern are less than 100, the correct answer is B, 24.
    • Question 11 deals with the length of each video Julian has, the total time for all videos is 300 seconds, each video is 1.25 minutes long.
    • Question 12 asks which change would allow all the data from a table to fit on a graph without changing the size of the grid, the correct answer is D, using a scale of 35 for the y-axis instead of 25.- At a school cafeteria, the number of pieces served during the launch over three days is represented in the text and a table.
    • The pictograph that represents the data shown in the table is D, with two pizzas for Wednesday, Thursday, and Friday.
    • A set of stairs is being made from concrete, with a picture shown. The volume of the set of stairs can be calculated by separating the figure into rectangular prisms and adding their volumes.
    • The stairs can be separated into two 5-foot by 5-foot rectangular prisms, resulting in partial volumes of 50 cubic feet and 15 cubic feet. Or, the figure can be separated into one 1-foot by 8-foot by 5-foot rectangular prism, resulting in a partial volume of 40 cubic feet, and a larger rectangular prism, determining the volume to be 80 cubic feet.
    • Leon is selling candy bars for a school fundraiser, raising $3 for each candy bar sold. The graph shown represents the total amount of money Leon has raised based on the number of candy bars sold.
    • The x-axis in the graph represents the number of candy bars sold. The ordered pair representing the amount of money Leon raises for selling six candy bars is (6, 18).

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    Description

    Test your knowledge with questions from the Pennsylvania System of School Assessment Mathematics Item and Scoring Sampler for Grade 5 for the academic year 2022 to 2023. Covering various topics from multiplication and decimals to word problems and graphs, this quiz offers a glimpse into the assessment format and content.

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