Math Checkpoint Assessment

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Questions and Answers

How many $\frac{1}{2}$ cup servings are in 7 cups of cereal?

  • 8
  • 3$\frac{1}{2}$
  • 4
  • 14 (correct)

An aquarium has a volume of 24 cubic feet. If the aquarium is 4 feet long and 3 feet tall, what is the width of the aquarium?

  • 288 feet
  • 6 feet
  • 2 feet (correct)
  • 8 feet

Given that the shape shown is a rhombus, which of the following must be true about $\angle ABC$?

  • $\angle ABC = \angle DCB$
  • $\angle ABC = \angle CDA$ (correct)
  • $\angle ABC$ is a right angle
  • $\angle ABC = \angle BAD$

Oliver made the statement: A rhombus is a parallelogram. Therefore, a rhombus is also a _____.

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

Mrs. Seymour wants her students to draw a shape with four sides, opposite sides that are the same length, opposite sides that are parallel, and opposite angles that are equal. Which shape should she NOT ask her students to draw?

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

Vinny has 4 gallons of lemonade. How many $\frac{1}{8}$-gallon glasses can Vinny fill with the lemonade?

<p>32 glasses (D)</p> Signup and view all the answers

Darien created a right rectangular prism using unit cubes with dimensions: 5 units long, 2 units wide, and 8 units high. If Darien halves the height, what happens to the volume of the prism?

<p>The new volume will be half the original volume. (C)</p> Signup and view all the answers

Svetlana is making homemade ice cream. For each batch, she needs 2 cups of sugar and 8 cups of ice. Based on the patterns, which statement MUST be true?

<p>To make 8 batches, Svetlana needs 64 cups of ice. (A)</p> Signup and view all the answers

What is the quotient of 2,331 ÷ 9?

<p>259 (C)</p> Signup and view all the answers

Find the sum: $\frac{1}{2} + \frac{1}{3} = $?

<p>$\frac{5}{6}$ (C)</p> Signup and view all the answers

The volume of a rectangular prism is found by adding the length, width, and height.

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

A square is always a rhombus.

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

What is the area of a rectangle with a width of 5 units and length of 12 units?

<p>60 square units</p> Signup and view all the answers

What is the next number in the sequence: 2, 4, 8, 16, ___?

<p>32</p> Signup and view all the answers

A parallelogram with four right angles is called a ______.

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

The product of 7 and 8 is ______.

<p>56</p> Signup and view all the answers

Match the shape with its correct property:

<p>Square = Four equal sides, four right angles Rectangle = Four right angles, opposite sides equal Rhombus = Four equal sides, opposite angles equal Parallelogram = Opposite sides parallel and equal</p> Signup and view all the answers

Match the following division problems with their quotients:

<p>100 ÷ 4 = 25 75 ÷ 5 = 15 144 ÷ 12 = 12 63 ÷ 7 = 9</p> Signup and view all the answers

What is the definition of volume.

<p>The amount of space occupied by a three-dimensional object or region.</p> Signup and view all the answers

What are the two main properties of parallel lines?

<p>Parallel lines are equidistant and never intersect.</p> Signup and view all the answers

Flashcards

How many 1/2 cup servings are in 7 cups?

There are 14 half-cup servings in 7 cups.

Aquarium Width

The width of the aquarium is 2 feet.

Rhombus Angles

Opposite angles in a rhombus are equal.

Rhombus Classification

A rhombus is a type of quadrilateral.

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Which shape doesn't guarantee properties?

A trapezoid does not guarantee equal opposite angles.

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Lemonade Glasses

Vinny can fill 32 glasses with lemonade.

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Halving Height

The new volume will be half the original volume.

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Ice Cream Ratio

Svetlana needs 64 cups of ice.

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Quotient of 2,331 ÷ 9

The quotient of 2,331 ÷ 9 is 259.

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Add 1/2 + 1/3

The sum is 5/6.

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Study Notes

  • The following notes cover a math checkpoint assessment

Question 1: Servings in Cereal

  • Problem: How many 1/2 cup servings are in 7 cups of cereal?
  • Answer: 14

Question 2: Aquarium Width

  • Problem: Find the width of an aquarium with a volume of 24 cubic feet, a length of 4 feet, and a height of 3 feet
  • Answer: 2 feet

Question 3: Properties of a Rhombus

  • Problem: Identify a true statement about angle ABC in a rhombus
  • Answer: ∠ABC = ∠CDA (opposite angles in a rhombus are equal)

Question 4: Properties of a Rhombus and Parallelograms

  • Problem: Complete the statement, "A rhombus is a parallelogram. Therefore, a rhombus is also a __________."
  • Answer: quadrilateral, because all parallelograms are quadrilaterals

Question 5: Shape Properties

  • Problem: Identify which shape Mrs. Seymour should NOT ask her students to draw, given the properties: four sides, opposite sides are the same length, opposite sides are parallel, and opposite angles are equal
  • Answer: trapezoid, because not all trapezoids have opposite sides of equal length or equal opposite angles

Question 6: Gallons of Lemonade

  • Problem: Determine how many 1/8-gallon glasses Vinny can fill with 4 gallons of lemonade
  • Answer: 32 glasses

Question 7: Volume of a Rectangular Prism

  • Problem: Determine what happens to the volume of a right rectangular prism if the height is halved, given the prism's dimensions are 5 unit cubes long, 2 unit cubes wide, and 8 unit cubes high
  • Answer: The new volume will be half the original volume
  • Formula: V = length × width × height, and Vnew = length × width × (1/2 × height)

Question 8: Ratios and Proportions in Ice Cream Making

  • Problem: Determine from the table of Svetlana's ice cream recipe which statement MUST be true
  • Answer: To make 8 batches of ice cream, Svetlana needs 64 cups of ice

Question 9: Division

  • Problem: Calculate the quotient of 2,331 ÷ 9
  • Answer: 259

Question 10: Fraction Sum

  • Problem: Calculate the sum of 1/2 + 1/3
  • Answer: 5/6
  • Process: 1/2 + 1/3 = 3/6 + 2/6 = 5/6

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