ISEE Middle Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #221 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #222 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #223 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #224 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #225 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #221 : Parallelograms

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #226 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #227 : Quadrilaterals

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #222 : Parallelograms

Joe has a piece of wallpaper that is  by . How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

Correct answer:

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula 

Example Question #631 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Square c

Note: Figure NOT drawn to scale

The above figure shows Square 

Which is the greater quantity?

(a) The area of Trapezoid 

(b) The area of Trapezoid 

Possible Answers:

(a) and (b) are equal

(b) is the greater quantity

(a) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

(a) is the greater quantity

Explanation:

The easiest way to answer the question is to locate  on  such that :

Square c

Trapezoids  and  have the same height, which is . Their bases, by construction, have the same lengths -  and . Therefore, Trapezoids  and  have the same area.

Since , it follows that , and . It follows that Trapezoid  is greater in area than Trapezoids  and , and Trapezoid  is less in area.

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