All SSAT Upper Level Math Resources
Example Questions
Example Question #4 : Area Of A Parallelogram
The longer diagonal of a rhombus is 20% longer than the shorter diagonal; the rhombus has area . Give the length of the shorter diagonal in terms of
.
Let be the length of the shorter diagonal. If the longer diagonal is 20% longer, then it measures 120% of the length of the shorter diagonal; this is
of , or
.
The area of a rhombus is half the product of the lengths of its diagonals, so we can set up an equation and solve for :
Example Question #1 : Shape Properties
Which of the following shapes is NOT a quadrilateral?
Square
Rectangle
Triangle
Rhombus
Kite
Triangle
A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have
sides is a triangle.
Example Question #2 : Shape Properties
What is the main difference between a square and a rectangle?
The number of sides they each have
The sum of their angles
Their color
Their side lengths
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 #1 : How To Find The Area Of A Parallelogram
What is the main difference between a triangle and a rectangle?
The length of the sides
The color
The volume
The number of sides
The area
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 : Shape Properties
Which two shapes have to have right angles?
Square and Rhombus
Rectangle and Parallelogram
Rectangle and Rhombus
Square and Parallelogram
Square and Rectangle
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #6 : Shape Properties
Which of the shapes is NOT a quadrilateral?
Hexagon
Square
Rectangle
Rhombus
Trapezoid
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have
sides is a hexagon, which has
sides.
Example Question #4 : 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
Rectangle
Rhombus
Square
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 #7 : Shape Properties
What is the difference between a trapezoid and a isosceles trapezoid?
There is no difference between them
A trapezoid has to have equal side lengths
An isosceles trapezoid has to have equal base angles
An isosceles trapezoid has to have equal side lengths
A trapezoid has to have equal base angles
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 #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which shape is NOT a quadrilateral?
Kite
Trapezoid
Rectangle
Rhombus
Circle
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #91 : Areas And Perimeters Of Polygons
What other shape can a parallelogram be classified as?
Rhombus
Triangle
Rectangle
Square
Quadrilateral
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.
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All SSAT Upper Level Math Resources
