ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning
Study concepts, example questions & explanations for ISEE Lower Level Quantitative
All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #592 : Plane Geometry
Which shape can have sides of any length, but has to have one set of parallel sides?
Quadrilateral
Trapezoid
Square
Rectangle
Trapezoid
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 #3 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
Which shape can have angles of all different degrees?
Parallelogram
Trapezoid
Rectangle
Rhombus
Trapezoid
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 #822 : Geometry
Which shape has two sets of opposite sides that are equal in length and also parallel?
Trapezoid
Kite
Parallogram
Quadrilateral
Parallogram
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 #4 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
Which shape has two sets of opposite, equal angles?
Trapezoid
Quadrilateral
Parallelogram
Kite
Parallelogram
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 #21 : Shape Properties
Which shape has two sets of opposite, equal angles?
Trapezoid
Kite
Rhombus
Quadrilateral
Rhombus
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 #5 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
Which shape has to have all angles that equal
Parallelogram
Rhombus
Kite
Square
Square
A square has angles that all measure
A kite, parallelogram, and rhombus do not have to have angles that measure
Example Question #6 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
Which shape has to have all angles that equal
Parallelogram
Kite
Rectangle
Rhobmus
Rectangle
A rectangle has angles that all measure
A kite, parallelogram, and rhombus do not have to have angles that measure
Example Question #7 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
Which shape has to have 
Rectangle
Kite
Parallelogram
Square
Square
A square has to have 
A rectangle and parallelogram have opposite, equal side lengths.
A kite has two pairs of adjacent sides that are equal.
Example Question #8 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4
What two shapes have to have two sets of opposite angles that are equal in measure?
Quadrilateral and Kite
Parallelogram and Kite
Rhombus and Kite
Parallelogram and Rhombus
Parallelogram and Rhombus
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 #321 : Grade 8
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.
A 
A translation to the left
A reflection over the x-axis
A
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 
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.
All ISEE Lower Level Quantitative Resources
