ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #5 : 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:

Square

Rhombus

Kite

Rectangle

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 #1671 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

Possible Answers:

A trapezoid has to have equal base angles

There is no difference between them 

An isosceles trapezoid has to have equal side lengths 

A trapezoid has to have equal side lengths 

An isosceles trapezoid has to have equal base angles

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

Which shape is NOT a quadrilateral?

Possible Answers:

Circle

Trapezoid

Kite

Rhombus

Rectangle 

Correct answer:

Circle

Explanation:

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

Example Question #451 : Geometry

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. 

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. 

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

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

Possible Answers:

The number of side lengths 

The sum of their angle measurements

Their color 

The length of their sides

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 #821 : Geometry

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:

rectangle

square

All four categories are correct.

rhombus

quadrilateral

Correct answer:

All four categories are correct.

Explanation:

 

 

 

Example Question #12 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What other shape can a parallelogram be classified as? 

 

Possible Answers:

Triangle 

Quadrilateral 

Square

Rectangle 

Rhombus

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 #1982 : Common Core Math: Grade 5

Which shape can have all sides of varying length? 

Possible Answers:

Quadrilateral 

Parallelogram 

Rectangle

Square

Correct answer:

Quadrilateral 

Explanation:

A quadrilateral has to have  side lengths, but they can all cary in size. 

A square has  equal sides.

A rectangle and parallelogram have opposite, equal side lengths. 

Example Question #62 : Geometry

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

Possible Answers:

Parallelogram. 

Kite

Rectangle

Square

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 #63 : Geometry

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

 
Possible Answers:

Rectangle 

Parallelogram

Kite

Trapezoid 

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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