4th Practice Test 1

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Questions and Answers

A rectangular sandbox has an area of 108 square feet and a width of 9 feet. What is the length of the sandbox?

  • 9 feet
  • 12 feet (correct)
  • 18 feet
  • 15 feet

What is the product of 3,649 and 6?

  • 18,694
  • 18,894
  • 21,694
  • 21,894 (correct)

Ms. Sloan surveyed fourth-grade students about their pet ownership. If 35 students have 1 pet and 10 students have 3 pets, how many more students have 1 pet than 3 pets?

  • 20
  • 25 (correct)
  • 30
  • 15

What is the total number of pets owned by fourth-grade students, given 25 students have 0 pets, 35 students have 1 pet, 30 students have 2 pets, 10 students have 3 pets and 7 students have 4 pets.

<p>153 (D)</p> Signup and view all the answers

Which of the following numbers is a multiple of 8?

<p>24 (D)</p> Signup and view all the answers

Which of these numbers are multiples of 8?

<p>8 and 64 (C)</p> Signup and view all the answers

Which fraction makes the following comparison true? $2/5 = []/10$

<p>4/10 (A)</p> Signup and view all the answers

Which number makes the following comparison true? $27,768 < []$

<p>28,744 (C)</p> Signup and view all the answers

Identify two numbers that are greater than 27,768.

<p>28,744 and 27,836 (D)</p> Signup and view all the answers

Alex ran 0.5 mile. Using a denominator of 10, what is the fractional equivalent of this distance?

<p>5/10 (A)</p> Signup and view all the answers

Christy ran 4/10 mile on Monday and 7/100 mile on Tuesday, stating she ran a total of 47/100 mile. Which statement explains why the amount she ran is incorrect?

<p>She did not make the denominators the same before adding the numerators. (B)</p> Signup and view all the answers

Each student in a class chose one sport to play. If 3/10 chose soccer, 2/10 football, 1/10 hockey and 4/10 basketball, which equation can be used to find s, the fraction of all students who chose to play either soccer or basketball?

<p>$s = 3/10 + 4/10$ (D)</p> Signup and view all the answers

Each student in a class chose one sport to play. If 3/10 chose soccer, 2/10 football, 1/10 hockey and 4/10 basketball, what fraction of the students chose to play either soccer or basketball?

<p>7/10 (C)</p> Signup and view all the answers

A rectangle is divided into eight equal sections. Jodi colors 4 sections and then colors 3 more. Which expression represents the fraction of the rectangle that Jodi colors in all?

<p>$4/8 + 3/8$ (B)</p> Signup and view all the answers

A rectangle is divided into eight equal sections. Jodi colors 4 sections and then colors 3 more. Which fraction represents the portion of the rectangle that Jodi colors in all?

<p>7/8 (A)</p> Signup and view all the answers

Determine the quotient of $522 \div 9$.

<p>58 (C)</p> Signup and view all the answers

The value of the digit 4 in the number 42,780 is 10 times the value of the digit 4 in which number?

<p>510,400 (B)</p> Signup and view all the answers

Henry cut a piece of yarn that was 11/6 feet long into two pieces. Which pair of fractions could represent the lengths, in feet, of the two pieces?

<p>4/6 and 6/6 (B)</p> Signup and view all the answers

Flashcards

Area of a rectangle

The area of a rectangle is found by multiplying its length by its width.

Finding length with area and width

To find the length, divide the area by the width.

Bar graph

A diagram that shows data using bars of different heights.

Multiple

A number that can be divided evenly by another number.

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Fractions

Parts of a whole number

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Comparison

Shows which number is greater

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Place value

Shows the value based on its position

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Study Notes

Dave's School Sandbox

  • The rectangular sandbox at Dave's school has an area of 108 square feet.
  • The sandbox has a width of 9 feet.
  • To find the length of the sandbox, divide the area by the width.

Multiplication Problem

  • Calculate and enter the answer for 3,649 multiplied by 6.

Ms. Sloan's Pet Survey - Bar Graph Analysis

  • 117 fourth-grade students were asked how many pets they have.
  • The data collected was displayed in a bar graph.
  • Determine how many students responded with having 2 pets using the bar graph.
  • Compare the number of students with 1 pet to the number of students with 3 pets and explain the difference.
  • Calculate the total number of pets students have, explaining how the bar graph was used, and include equations.

Multiples of 8

  • Classify the numbers provided, identifying those that are multiples of 8.

Fraction Comparisons

  • Use the given fractions to complete the number sentences to create true comparisons.

Number Comparison

  • Identify which numbers make the comparison 27,768 < â–¡ true.
  • Select the two correct answers from the options provided.

Alex and Christy's Running Distances - Fractions

  • Alex ran 0.5 mile.
  • Determine the fractional equivalent of 0.5 mile using a denominator of 10.
  • Christy ran 4/10 mile on Monday and 7/100 mile on Tuesday, claiming a total of 47/100 mile.
  • Christy told Alex she ran further than he did because 47 is more than 5; this reasoning is incorrect.
  • Determine the incorrect reasoning in Christy's statement concerning Alex's ran distance, and how she can correct her reasoning.
  • Use >, <, or = to provide a correct comparison between Alex and Christy's running distances, and explain in the space provided.

Rectangle Sections

  • A rectangle is divided into eight equal sections.
  • Jodi colors 4 sections, then colors 3 more sections.
  • Identify two expressions that accurately represent the fraction of the rectangle Jodi colored in all.

Division Problem

  • Calculate and enter the answer for 522 divided by 9.

Place Value

  • Identify the number where the digit 4 has a value that is 10 times less than the digit 4 in the number 42,780.

Yarn Lengths

  • Henry cut a piece of yarn that was 11/6 feet long into two pieces.
  • Construct two different pairs of fractions that show the lengths, in feet, of the two pieces.
  • Explain how the pairs of fractions were determined.

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