### All ISEE Lower Level Quantitative Resources

## Example Questions

### 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?

**Possible Answers:**

Rectangle

Triangle

Square

Kite

Rhombus

**Correct answer:**

Triangle

A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.

### 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 square and a rectangle?

**Possible Answers:**

The number of sides they each have

Their angle measurments

Their side lengths

The sum of their angles

Their color

**Correct answer:**

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 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What two shapes can a square be classified as?

**Possible Answers:**

Trapezoid and Rhombus

Rectangle and Triangle

Rectangle and Rhombas

Rhombus and Triangle

Trapezoid and Triangle

**Correct answer:**

Rectangle and Rhombas

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.

### Example Question #1 : How To Find The Area Of A Parallelogram

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

**Possible Answers:**

The color

The volume

The area

The length of the sides

The number of sides

**Correct answer:**

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 #2 : How To Find The Area Of A Parallelogram

Which two shapes have to have right angles?

**Possible Answers:**

Rectangle and Parallelogram

Rectangle and Rhombus

Square and Rectangle

Square and Rhombus

Square and Parallelogram

**Correct answer:**

Square and Rectangle

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

Which of the shapes is NOT a quadrilateral?

**Possible Answers:**

Square

Trapezoid

Hexagon

Rhombus

Rectangle

**Correct answer:**

Hexagon

A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.

Which of the following shapes is NOT a parallelogram?

**Possible Answers:**

Rhombus

Square

Rectangle

Kite

**Correct answer:**

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 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

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

**Possible Answers:**

A trapezoid has to have equal base angles

A trapezoid has to have equal side lengths

There is no difference between them

An isosceles trapezoid has to have equal base angles

An isosceles trapezoid has to have equal side lengths

**Correct answer:**

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 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which shape is NOT a quadrilateral?

**Possible Answers:**

Rectangle

Rhombus

Circle

Kite

Trapezoid

**Correct answer:**

Circle

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

### Example Question #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a right triangle and an isosceles triangle?

**Possible Answers:**

A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.

An isosceles triangle has to have a angle and a right triangle has to have equal, base angles.

A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.

A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.

A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.

**Correct answer:**

A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.

By definition, a right triangle has to have one right angle, or a angle, and an isosceles triangle has equal base angles and two equal side lengths.