All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Area Of A Parallelogram
Which of the following shapes is NOT a quadrilateral?
Kite
Triangle
Square
Rhombus
Rectangle
Triangle
A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.
Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the main difference between a square and a rectangle?
Their side lengths
The number of sides they each have
The sum of their angles
Their color
Their angle measurments
Their side lengths
The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.
Example Question #12 : How To Find The Area Of A Parallelogram
What two shapes can a square be classified as?
Trapezoid and Triangle
Rhombus and Triangle
Rectangle and Rhombus
Trapezoid and Rhombus
Rectangle and Triangle
Rectangle and Rhombus
A square can also be a rectangle and a rhombus because a rectangle has to have at least sets of equal side lengths and a rhombus has to have equal side lengths, like a square, and at least sets of equal angles.
Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the main difference between a triangle and a rectangle?
The volume
The length of the sides
The area
The color
The number of sides
The number of sides
Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has sides.
Example Question #4 : How To Find The Area Of A Parallelogram
Which two shapes have to have right angles?
Rectangle and Parallelogram
Square and Rectangle
Rectangle and Rhombus
Square and Parallelogram
Square and Rhombus
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #5 : How To Find The Area Of A Parallelogram
Which of the shapes is NOT a quadrilateral?
Square
Hexagon
Trapezoid
Rectangle
Rhombus
Hexagon
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?
Kite
Square
Rhombus
Rectangle
Kite
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?
A trapezoid has to have equal base angles
An isosceles trapezoid has to have equal side lengths
There is no difference between them
An isosceles trapezoid has to have equal base angles
A trapezoid has to have equal side lengths
An isosceles trapezoid has to have equal base angles
By definition, an isosceles trapezoid has to have equal base angles, but a trapezoid does not have to have equal angles.
Example Question #8 : Shape Properties
Which shape is NOT a quadrilateral?
Circle
Kite
Rectangle
Rhombus
Trapezoid
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #1 : How To Find If Right Triangles Are Similar
What is the main difference between a right triangle and an isosceles triangle?
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.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
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.
Certified Tutor
Certified Tutor