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 #12 : Shape Properties

Which shape can have sides of any length, but has to have one set of parallel sides? 

Possible Answers:

Rectangle 

Quadrilateral 

Trapezoid 

Square

Correct answer:

Trapezoid 

Explanation:

A trapezoid can have sides of any length, but one set of sides have to be parallel. 

Both a square and a rectangle cannot have sides of any length. 

A quadrilateral can have sides of any length, but it does not have to have a pair of sides that are parallel. 

Example Question #61 : Geometry

Which shape can have angles of all different degrees? 

Possible Answers:

Parallelogram

Rhombus 

Rectangle 

Trapezoid

Correct answer:

Trapezoid

Explanation:

A trapezoid can have angles of all different degrees. 

A square and a rectangle have to have all equal angles. 

A parallelogram has to have opposite, equal angles. 

Example Question #62 : Geometry

Which shape has two sets of opposite sides that are equal in length and also parallel? 

Possible Answers:

Parallogram

Quadrilateral 

Kite

Trapezoid 

Correct answer:

Parallogram

Explanation:

A parallelogram has two sets of opposite sides that are equal in length and parallel. 

A trapezoid and a quadrilateral can have sides of any length. 

A kite does not have any sets of parallel sides. 

Example Question #822 : Geometry

Which shape has two sets of opposite, equal angles? 

Possible Answers:

Kite

Parallelogram

Quadrilateral 

Trapezoid

Correct answer:

Parallelogram

Explanation:

A parallelogram has two sets of opposite, equal angles. 

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

A quadrilateral and trapezoid do not have to have any equal angles. 

Example Question #831 : Geometry

Which shape has two sets of opposite, equal angles? 

Possible Answers:

Rhombus

Quadrilateral 

Kite

Trapezoid 

Correct answer:

Rhombus

Explanation:

A rhombas has two sets of opposite, equal angles. 

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

A quadrilateral and trapezoid do not have to have any equal angles. 

Example Question #1981 : Common Core Math: Grade 5

Which shape has to have all angles that equal 

Possible Answers:

Kite

Rhombus

Parallelogram 

Square

Correct answer:

Square

Explanation:

A square has angles that all measure 

A kite, parallelogram, and rhombus do not have to have angles that measure 

Example Question #69 : Geometry

Which shape has to have all angles that equal 

Possible Answers:

Kite

Rhobmus

Rectangle

Parallelogram

Correct answer:

Rectangle

Explanation:

A rectangle has angles that all measure 

A kite, parallelogram, and rhombus do not have to have angles that measure 

Example Question #64 : Geometry

Which shape has to have  equal sides? 

Possible Answers:

Square 

Rectangle 

Kite

Parallelogram

Correct answer:

Square 

Explanation:

A square has to have  equal sides. 

A rectangle and parallelogram have opposite, equal side lengths. 

A kite has two pairs of adjacent sides that are equal. 

Example Question #832 : Geometry

What two shapes have to have two sets of opposite angles that are equal in measure? 

Possible Answers:

Parallelogram and Rhombus

Rhombus and Kite

Parallelogram and Kite

Quadrilateral and Kite

Correct answer:

Parallelogram and Rhombus

Explanation:

A parallelogram and a rhombus have two sets of opposite, equal angles. 

A kite only has one set of opposite, equal angles and a quadrilateral does not have to have any equal angles. 

Example Question #1 : Angles And Their Mesures: Ccss.Math.Content.8.G.A.1b

Observe the location of the black and orange angles on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black angle has undergone in order to reach the position of the orange angle. Select the answer that provides the correct transformation shown in the provided image. 

1

Possible Answers:

A translation to the left

 rotation 

A reflection over the x-axis 

Correct answer:

 rotation 

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, notice that the black angle rotates  counterclockwise, or left around the y-axis. The vertical, base, line of the angle goes from being vertical to horizontal; thus the transformation is a rotation. 

2

The transformation can't be a reflection over the x-axis because the orange angle didn't flip over the x-axis. 

The transformation can't be a translation because the angle changes direction, which does not happened when you simply move or slide an angle or image. 

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