Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #3 : How To Find The Area Of A Parallelogram

Which of the shapes is NOT a quadrilateral? 

Possible Answers:

Trapezoid

Square

Rhombus

Rectangle 

Hexagon

Correct answer:

Hexagon

Explanation:

A quadrilateral is a  sided shape. The only shape listed that does not have  sides is a hexagon, which has  sides. 

Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a parallelogram? 

Possible Answers:

Kite

Rectangle

Square

Rhombus

Correct answer:

Kite

Explanation:

A rectangle, square, and rhombus can all be classified as a parallelogram because each shape has opposite side lengths that are equal. A kite does not. 

Example Question #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the difference between a trapezoid and a isosceles trapezoid? 

Possible Answers:

A trapezoid has to have equal base angles

A trapezoid has to have equal side lengths 

An isosceles trapezoid has to have equal base angles

There is no difference between them 

An isosceles trapezoid has to have equal side lengths 

Correct answer:

An isosceles trapezoid has to have equal base angles

Explanation:

By definition, an isosceles trapezoid has to have  equal base angles, but a trapezoid does not have to have equal angles. 

Example Question #9 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which shape is NOT a quadrilateral?

Possible Answers:

Rhombus

Rectangle 

Circle

Kite

Trapezoid

Correct answer:

Circle

Explanation:

A quadrilateral has to have  sides, a circle does not have any sides. 

Example Question #2 : Properties Of Triangles

What is the main difference between a right triangle and an isosceles triangle? 

Possible Answers:

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

An isosceles triangle has to have a  angle and a right triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have equal, base angles. 

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Correct answer:

A right triangle has to have a  angle and an isosceles triangle has to have  equal, base angles. 

Explanation:

By definition, a right triangle has to have one right angle, or a  angle, and an isosceles triangle has  equal base angles and two equal side lengths. 

Example Question #1 : How To Find The Length Of The Side Of An Equilateral Triangle

What is the difference between an equilateral triangle and a scalene triangle? 

Possible Answers:

The sum of their angle measurements

The number of side lengths 

The length of their sides

Their color 

The sum of their side lengths 

Correct answer:

The length of their sides

Explanation:

Of the choices listed, the main difference between an equilateral triangle and a scalene triangle is their side lengths. An equilateral triangle has to have  equal sides, but a scalene triangle can have all different side lengths. 

Example Question #11 : Shape Properties

A two-dimensional figure has four sides, the length is 3 centimeters. All of its four angles are right angles. Choose the correct category (or categories) that describes this type of figure.

Possible Answers:

rhombus

square

All four categories are correct.

rectangle

quadrilateral

Correct answer:

All four categories are correct.

Explanation:

 

 

 

Example Question #61 : Geometry

What other shape can a parallelogram be classified as? 

 

Possible Answers:

Rectangle 

Triangle 

Rhombus

Quadrilateral 

Square

Correct answer:

Quadrilateral 

Explanation:

A parallelogram can not be classified as a square because a square has to have  equal sides, but a parallelogram can have two different side lengths, as long as the opposite side lengths are equal. 

A parallelogram can not be classified as a rectangle because a rectangle has to have  angles, and a parallelogram does not. 

A parallelogram can not be classified as a triangle because a parallelogram has to have  sides and a triangle only has  sides. 

A parallelogram can not be classified as a rhombus because a rhombus has to have  equal sides and a parallelogram does not. 

A parallelogram has four sides, and all shapes with four sides are quadrilaterals. 

Example Question #1 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

Which shape has only one pair of opposite, equal angles? 

Possible Answers:

Square

Parallelogram. 

Kite

Rectangle

Correct answer:

Kite

Explanation:

A kite has to one one set of opposite, equal angles. 

A square and a rectangle have   equal angles.

A parallelogram has two sets of opposite, equal angles. 

Example Question #62 : Geometry

Which shape has two pairs of adjacent sides, with the adjacent sides being equal in length? 

 
Possible Answers:

Trapezoid 

Parallelogram

Kite

Rectangle 

Correct answer:

Kite

Explanation:

A kite has two sets of adjacent sides, and the adjacent sides have equal lengths. 

A rectangle, parallelogram, and trapezoid do not have adjacent sides that are qual in length. 

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