All SSAT Upper Level Math Resources
Example Questions
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 triangle and a rectangle?
The area
The number of sides
The length of the sides
The color
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 #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which two shapes have to have right angles?
Square and Rhombus
Rectangle and Rhombus
Rectangle and Parallelogram
Square and Rectangle
Square and Parallelogram
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #1 : Shape Properties
Which of the shapes is NOT a quadrilateral?
Trapezoid
Hexagon
Rhombus
Square
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 #7 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the following shapes is NOT a parallelogram?
Square
Rhombus
Rectangle
Kite
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 #2 : Shape Properties
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 base angles
An isosceles trapezoid has to have equal side lengths
A trapezoid has to have equal side lengths
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 #2 : Shape Properties
Which shape is NOT a quadrilateral?
Rhombus
Trapezoid
Circle
Kite
Rectangle
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #831 : Geometry
What other shape can a parallelogram be classified as?
Quadrilateral
Rectangle
Rhombus
Square
Triangle
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 #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What two shapes can a square be classified as?
Trapezoid and Triangle
Rectangle and Triangle
Rectangle and Rhombus
Rhombus and Triangle
Trapezoid and Rhombus
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.
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