### All ISEE Lower Level Quantitative Resources

## Example Questions

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

Which of the following shapes is NOT a quadrilateral?

**Possible Answers:**

Rectangle

Triangle

Kite

Square

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:**

Their color

The sum of their angles

Their side lengths

The number of sides they each have

Their angle measurments

**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 Rhombas

Rhombus and Triangle

Rectangle 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 : 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?

**Possible Answers:**

The length of the sides

The number of sides

The area

The volume

The color

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

Which two shapes have to have right angles?

**Possible Answers:**

Rectangle and Rhombus

Square and Rectangle

Square and Rhombus

Square and Parallelogram

Rectangle 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

Rectangle

Hexagon

Trapezoid

Rhombus

**Correct answer:**

Hexagon

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

### Example Question #2 : 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

Kite

Rhombus

Square

**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.

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

**Possible Answers:**

There is no difference between them

A trapezoid has to have equal side lengths

An isosceles trapezoid has to have equal side lengths

An isosceles trapezoid has to have equal base angles

A trapezoid has to have equal base angles

**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:**

Circle

Rectangle

Trapezoid

Rhombus

Kite

**Correct answer:**

Circle

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

### Example Question #2 : 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.

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.

**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.

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