### All HSPT Math Resources

## Example Questions

### Example Question #11 : How To Find The Perimeter Of A Figure

What is the perimeter of a square with a side length of ?

**Possible Answers:**

**Correct answer:**

Write the perimeter formula for a square.

Substitute the side length in the formula and simplify.

### Example Question #262 : Problem Solving

A circle has radius 8. The circumference of the circle is 40% of what number?

**Possible Answers:**

**Correct answer:**

The circumference of a circle is its radius mulitplied by . The radius is 8, so the circumference is

.

To find the number of which this is 40%, divide this by 40%, or :

### Example Question #12 : How To Find The Perimeter Of A Figure

.

is a right angle.

.

Is scalene, isosceles, or equilateral - or can it be determined?

**Possible Answers:**

is an equilateral triangle.

is a scalene triangle.

Whether is scalene, isosceles, or equilateral cannot be determined.

is a isosceles triangle, but not equilateral.

**Correct answer:**

is a isosceles triangle, but not equilateral.

Corresponding angles of similar triangles are congruent, so

The degree measures of the angles of a triangle total 180, so

Since and are congruent, by the Isosceles Triangle Theorem,

making isosceles.

### Example Question #263 : Problem Solving

A ladder 30 feet long leans against a house. The top of the ladder is feet above the ground. In terms of , how far along the ground is the bottom of the ladder from the house?

**Possible Answers:**

**Correct answer:**

The ladder, which is 30 feet long, is the hypotenuse of a right triangle whose legs are the line from the top of the ladder to the ground, which has length feet, and the line from the bottom of the ladder horizontally to the house, whose length we will call feet. See the diagram below.

By the Pythagorean Theorem,

Solving for :

, the correct choice.

### Example Question #262 : Problem Solving

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

### Example Question #13 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

### Example Question #263 : Problem Solving

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

### Example Question #11 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

### Example Question #12 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

### Example Question #13 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

**Possible Answers:**

**Correct answer:**

To find the area of a perimeter, we add all of the side lengths together.

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