SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #2 : Shape Properties

What is the main difference between a square and a rectangle?

Possible Answers:

Their side lengths 

Their angle measurments

The sum of their angles 

Their color 

The number of sides they each have 

Correct answer:

Their side lengths 

Explanation:

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 #3 : Shape Properties

What is the main difference between a triangle and a rectangle?

Possible Answers:

The area

The length of the sides

The number of sides

The color

The volume

Correct answer:

The number of sides

Explanation:

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 #3 : How To Find The Area Of A Parallelogram

Which two shapes have to have  right angles? 

Possible Answers:

Rectangle and Parallelogram

Square and Parallelogram

Square and Rectangle 

Rectangle and Rhombus

Square and Rhombus

Correct answer:

Square and Rectangle 

Explanation:

By definition, the only two quadrilaterals that have to have  right angles, are the square and the rectangle. 

Example Question #4 : Shape Properties

Which of the shapes is NOT a quadrilateral? 

Possible Answers:

Rhombus

Square

Hexagon

Rectangle 

Trapezoid

Correct answer:

Hexagon

Explanation:

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? 

Possible Answers:

Rectangle

Rhombus

Kite

Square

Correct answer:

Kite

Explanation:

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 #5 : Shape Properties

What is the difference between a trapezoid and a isosceles trapezoid? 

Possible Answers:

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 

There is no difference between them 

A trapezoid has to have equal side lengths 

Correct answer:

An isosceles trapezoid has to have equal base angles

Explanation:

By definition, an isosceles trapezoid has to have  equal base angles, but a trapezoid does not have to have equal angles. 

Example Question #1051 : Ssat Upper Level Quantitative (Math)

Which shape is NOT a quadrilateral?

Possible Answers:

Trapezoid

Rhombus

Circle

Rectangle 

Kite

Correct answer:

Circle

Explanation:

A quadrilateral has to have  sides, a circle does not have any sides. 

Example Question #1052 : Ssat Upper Level Quantitative (Math)

What other shape can a parallelogram be classified as? 

 

Possible Answers:

Rhombus

Quadrilateral 

Square

Triangle 

Rectangle 

Correct answer:

Quadrilateral 

Explanation:

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

Parallelogram

Figure NOT drawn to scale.

The above depicts Rhombus , which has perimeter 80. .

Give the area of  Rhombus .

Possible Answers:

Correct answer:

Explanation:

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 #1055 : Ssat Upper Level Quantitative (Math)

What two shapes can a square be classified as? 

Possible Answers:

Rectangle and Rhombus 

Rhombus and Triangle 

Rectangle and Triangle 

Trapezoid and Rhombus 

Trapezoid and Triangle 

Correct answer:

Rectangle and Rhombus 

Explanation:

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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