All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #581 : Plane Geometry
What is the difference between an equilateral triangle and a scalene triangle?
The sum of their side lengths
The sum of their angle measurements
The length of their sides
Their color
The number of side lengths
The length of their sides
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.
rectangle
rhombus
square
quadrilateral
All four categories are correct.
All four categories are correct.
Example Question #821 : Geometry
What other shape can a parallelogram be classified as?
Triangle
Rhombus
Rectangle
Quadrilateral
Square
Quadrilateral
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?
Parallelogram
Rectangle
Square
Quadrilateral
Quadrilateral
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?
Square
Kite
Parallelogram.
Rectangle
Kite
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?
Kite
Rectangle
Parallelogram
Trapezoid
Kite
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.
Example Question #64 : Geometry
Which shape can have sides of any length, but has to have one set of parallel sides?
Square
Trapezoid
Rectangle
Quadrilateral
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 #65 : Geometry
Which shape can have angles of all different degrees?
Rhombus
Parallelogram
Rectangle
Trapezoid
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 #66 : Geometry
Which shape has two sets of opposite sides that are equal in length and also parallel?
Parallogram
Trapezoid
Quadrilateral
Kite
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 #67 : Geometry
Which shape has two sets of opposite, equal angles?
Quadrilateral
Trapezoid
Kite
Parallelogram
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.
Certified Tutor