ISEE Lower Level Quantitative : Geometry

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

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Example Questions

Example Question #1711 : Common Core Math: Grade 3

What is the area of the rectangle? 

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Possible Answers:

\(\displaystyle 11cm^2\)

\(\displaystyle 12cm^2\)

\(\displaystyle 10cm^2\)

\(\displaystyle 8cm^2\)

\(\displaystyle 9cm^2\)

Correct answer:

\(\displaystyle 12cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 3\times4=12cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #31 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.05.15 pm

 

Possible Answers:

\(\displaystyle 12cm^2\)

\(\displaystyle 14cm^2\)

\(\displaystyle 13cm^2\)

\(\displaystyle 16cm^2\)

\(\displaystyle 15cm^2\)

Correct answer:

\(\displaystyle 12cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 12\times1=12cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #381 : Geometry

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.04.45 pm

 

Possible Answers:

\(\displaystyle 59cm^2\)

\(\displaystyle 60cm^2\)

\(\displaystyle 58cm^2\)

\(\displaystyle 57cm^2\)

\(\displaystyle 56cm^2\)

Correct answer:

\(\displaystyle 60cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 12\times5=60cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #561 : Geometry

What is the area of the rectangle? 

Screen shot 2015 11 10 at 2.04.26 pm 

 

Possible Answers:

\(\displaystyle 85cm^2\)

\(\displaystyle 87cm^2\)

\(\displaystyle 89cm^2\)

\(\displaystyle 86cm^2\)

\(\displaystyle 88cm^2\)

Correct answer:

\(\displaystyle 88cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 11\times8=88cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #351 : Measurement & Data

What is the area of the rectangle? 

Screen shot 2015 11 10 at 2.04.09 pm 

 

Possible Answers:

\(\displaystyle 14cm^2\)

\(\displaystyle 11cm^2\)

\(\displaystyle 12cm^2\)

\(\displaystyle 13cm^2\)

\(\displaystyle 10cm^2\)

Correct answer:

\(\displaystyle 11cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 11\times1=11cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #41 : Solve Real World And Mathematical Problems Involving Area: Ccss.Math.Content.3.Md.C.7b

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.03.32 pm

 

Possible Answers:

\(\displaystyle 58cm^2\)

\(\displaystyle 59cm^2\)

\(\displaystyle 60cm^2\)

\(\displaystyle 62cm^2\)

\(\displaystyle 61cm^2\)

Correct answer:

\(\displaystyle 60cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 10\times6=60cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #388 : Quadrilaterals

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.02.59 pm

 

Possible Answers:

\(\displaystyle 37cm^2\)

\(\displaystyle 36cm^2\)

\(\displaystyle 38cm^2\)

\(\displaystyle 39cm^2\)

\(\displaystyle 40cm^2\)

Correct answer:

\(\displaystyle 40cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 10\times4=40cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #181 : Geometric Measurement: Understanding Concepts Of Area And Relating Area To Multiplication And To Addition

What is the area of the rectangle? 

Screen shot 2015 11 10 at 2.02.35 pm 

 

Possible Answers:

\(\displaystyle 53cm^2\)

\(\displaystyle 52cm^2\)

\(\displaystyle 51cm^2\)

\(\displaystyle 50cm^2\)

\(\displaystyle 49cm^2\)

Correct answer:

\(\displaystyle 49cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 7\times7=49cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #390 : Quadrilaterals

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.01.57 pm

 

Possible Answers:

\(\displaystyle 28cm^2\)

\(\displaystyle 25cm^2\)

\(\displaystyle 29cm^2\)

\(\displaystyle 27cm^2\)

\(\displaystyle 26cm^2\)

Correct answer:

\(\displaystyle 28cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 7\times4=28cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

Example Question #101 : Rectangles

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 2.01.29 pm

 

Possible Answers:

\(\displaystyle 72cm^2\)

\(\displaystyle 71cm^2\)

\(\displaystyle 73cm^2\)

\(\displaystyle 74cm^2\)

\(\displaystyle 75cm^2\)

Correct answer:

\(\displaystyle 72cm^2\)

Explanation:

The formula to find area is \(\displaystyle A=l\times w\). We are given the length and the width from the problem, so we can plug those values into our equation and solve. 

\(\displaystyle 9\times8=72cm^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units. 

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