All SSAT Upper Level Math Resources
Example Questions
Example Question #2 : 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 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the following shapes is NOT a quadrilateral?
Rhombus
Triangle
Kite
Rectangle
Square
Triangle
A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.
Example Question #42 : Geometry
What is the main difference between a square and a rectangle?
The number of sides they each have
Their side lengths
Their angle measurments
The sum of their angles
Their color
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 #4 : 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 color
The number of sides
The length of the 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 #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which two shapes have to have right angles?
Rectangle and Rhombus
Rectangle and Parallelogram
Square and Rectangle
Square and Rhombus
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 #4 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the shapes is NOT a quadrilateral?
Trapezoid
Hexagon
Rectangle
Rhombus
Square
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.
Example Question #5 : 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
Rhombus
Rectangle
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 #6 : Shape Properties
What is the difference between a trapezoid and a isosceles trapezoid?
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
There is no difference between them
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 #7 : Shape Properties
Which shape is NOT a quadrilateral?
Rhombus
Rectangle
Circle
Trapezoid
Kite
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #61 : Geometry
What other shape can a parallelogram be classified as?
Rectangle
Rhombus
Triangle
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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