All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : Shape Properties
What is the main difference between a square and a rectangle?
Their color
The number of sides they each have
The sum of their angles
Their angle measurments
Their side lengths
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 #2 : Shape Properties
What is the main difference between a triangle and a rectangle?
The area
The length of the sides
The color
The number of sides
The volume
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 #3 : Shape Properties
Which of the shapes is NOT a quadrilateral?
Square
Rhombus
Trapezoid
Hexagon
Rectangle
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 : Shape Properties
What is the difference between a trapezoid and a isosceles trapezoid?
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
A trapezoid has to have equal base angles
There is no difference between them
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 #1051 : Ssat Upper Level Quantitative (Math)
What other shape can a parallelogram be classified as?
Rhombus
Quadrilateral
Rectangle
Triangle
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 #101 : Areas And Perimeters Of Polygons
Figure NOT drawn to scale.
The above depicts Rhombus , which has perimeter 80. .
Give the area of Rhombus .
The area of any parallelogram is the product of the length of its base and that of a corresponding altitude. We can take as a base and perpendicular as an altitude.
All four sides of a rhombus have the same length, so we can find by dividing the perimeter - the sum of the lengths of the four sides - by 4:
Now multiply the lengths of this base and the altitude to get the area:
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.