ISEE Lower Level Quantitative : Quadrilaterals

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #502 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 4ft\) by \(\displaystyle 3ft?\)

 

Possible Answers:

\(\displaystyle 17ft\)

\(\displaystyle 15ft\)

\(\displaystyle 16ft\)

\(\displaystyle 14ft\)

\(\displaystyle 18ft\)

Correct answer:

\(\displaystyle 14ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(4)+2(3)\)

\(\displaystyle P=8+6\)

\(\displaystyle P=14\)

Example Question #21 : Solving For Perimeter

David wants to put a fence around his backyard. How much fencing will he need if his backyard is \(\displaystyle 10ft\) by \(\displaystyle 9ft?\)

 

Possible Answers:

\(\displaystyle 34ft\)

\(\displaystyle 35ft\)

\(\displaystyle 36ft\)

\(\displaystyle 37ft\)

\(\displaystyle 38ft\)

Correct answer:

\(\displaystyle 38ft\)

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

\(\displaystyle P=2l+2w\)

\(\displaystyle P=2(10)+2(9)\)

\(\displaystyle P=20+18\)

\(\displaystyle P=38\)

Example Question #1451 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 10ft\) by \(\displaystyle 2ft\). How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

\(\displaystyle 18ft^2\)

\(\displaystyle 16ft^2\)

\(\displaystyle 20ft^2\)

\(\displaystyle 19ft^2\)

\(\displaystyle 17ft^2\)

Correct answer:

\(\displaystyle 20ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=10\times2\)

\(\displaystyle A=20ft^2\)

Example Question #1452 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 5ft\) by \(\displaystyle 4ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 22ft^2\)

\(\displaystyle 23ft^2\)

\(\displaystyle 19ft^2\)

\(\displaystyle 21ft^2\)

\(\displaystyle 20ft^2\)

Correct answer:

\(\displaystyle 20ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=5\times4\)

\(\displaystyle A=20ft^2\)

Example Question #1453 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 10ft\) by \(\displaystyle 3ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 29ft^2\)

\(\displaystyle 30ft^2\)

\(\displaystyle 31ft^2\)

\(\displaystyle 28ft^2\)

\(\displaystyle 32ft^2\)

Correct answer:

\(\displaystyle 30ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=10\times3\)

\(\displaystyle A=30ft^2\)

Example Question #1454 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 4ft\) by \(\displaystyle 2ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 8ft^2\)

\(\displaystyle 9ft^2\)

\(\displaystyle 7ft^2\)

\(\displaystyle 5ft^2\)

\(\displaystyle 6ft^2\)

Correct answer:

\(\displaystyle 8ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=4\times2\)

\(\displaystyle A=8ft^2\)

Example Question #1455 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 4ft\) by \(\displaystyle 4ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 13ft^2\)

\(\displaystyle 14ft^2\)

\(\displaystyle 16ft^2\)

\(\displaystyle 12ft^2\)

\(\displaystyle 15ft^2\)

Correct answer:

\(\displaystyle 16ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=4\times4\)

\(\displaystyle A=16ft^2\)

Example Question #1456 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 3ft\) by \(\displaystyle 2ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 9ft^2\)

\(\displaystyle 8ft^2\)

\(\displaystyle 6ft^2\)

\(\displaystyle 10ft^2\)

\(\displaystyle 7ft^2\)

Correct answer:

\(\displaystyle 6ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=3\times2\)

\(\displaystyle A=6ft^2\)

Example Question #1457 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 5ft\) by \(\displaystyle 5ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 26ft^2\)

\(\displaystyle 28ft^2\)

\(\displaystyle 27ft^2\)

\(\displaystyle 25ft^2\)

\(\displaystyle 24ft^2\)

Correct answer:

\(\displaystyle 25ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=5\times5\)

\(\displaystyle A=25ft^2\)

Example Question #1458 : Common Core Math: Grade 4

Annie has a piece of wallpaper that is \(\displaystyle 9ft\) by \(\displaystyle 7ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 58ft^2\)

\(\displaystyle 47ft^2\)

\(\displaystyle 65ft^2\)

\(\displaystyle 59ft^2\)

\(\displaystyle 63ft^2\)

Correct answer:

\(\displaystyle 63ft^2\)

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 \(\displaystyle A=l \times w\)

\(\displaystyle A=9\times7\)

\(\displaystyle A=63\)

Learning Tools by Varsity Tutors