ISEE Lower Level Quantitative : Plane Geometry

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

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Example Questions

Example Question #22 : 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 12.29.53 pm

 

Possible Answers:

\(\displaystyle 52cm^2\)

\(\displaystyle 56cm^2\)

\(\displaystyle 53cm^2\)

\(\displaystyle 55cm^2\)

\(\displaystyle 54cm^2\)

Correct answer:

\(\displaystyle 55cm^2\)

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. 

\(\displaystyle 11\times5=55cm^2\)

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

Example Question #22 : 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 12.29.34 pm

 

Possible Answers:

\(\displaystyle 68cm^2\)

\(\displaystyle 71cm^2\)

\(\displaystyle 70cm^2\)

\(\displaystyle 69cm^2\)

\(\displaystyle 72cm^2\)

Correct answer:

\(\displaystyle 70cm^2\)

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. 

\(\displaystyle 10\times7=70cm^2\)

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

Example Question #551 : Geometry

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 12.29.16 pm

 

Possible Answers:

\(\displaystyle 13cm^2\)

\(\displaystyle 14cm^2\)

\(\displaystyle 12cm^2\)

\(\displaystyle 11cm^2\)

\(\displaystyle 10cm^2\)

Correct answer:

\(\displaystyle 10cm^2\)

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. 

\(\displaystyle 10\times1=10cm^2\)

*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 12.28.54 pm 

 

Possible Answers:

\(\displaystyle 42cm^2\)

\(\displaystyle 39cm^2\)

\(\displaystyle 40cm^2\)

\(\displaystyle 41cm^2\)

\(\displaystyle 38cm^2\)

Correct answer:

\(\displaystyle 42cm^2\)

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. 

\(\displaystyle 7\times6=42cm^2\)

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

Example Question #321 : Quadrilaterals

What is the area of the rectangle? 

Screen shot 2015 11 10 at 12.28.37 pm 

 

Possible Answers:

\(\displaystyle 14cm^2\)

\(\displaystyle 15cm^2\)

\(\displaystyle 17cm^2\)

\(\displaystyle 16cm^2\)

\(\displaystyle 13cm^2\)

Correct answer:

\(\displaystyle 14cm^2\)

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. 

\(\displaystyle 7\times2=14cm^2\)

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

Example Question #321 : Quadrilaterals

What is the area of the rectangle? 

 Screen shot 2015 11 10 at 12.28.18 pm

 

Possible Answers:

\(\displaystyle 24cm^2\)

\(\displaystyle 28cm^2\)

\(\displaystyle 25cm^2\)

\(\displaystyle 27cm^2\)

\(\displaystyle 26cm^2\)

Correct answer:

\(\displaystyle 27cm^2\)

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. 

\(\displaystyle 9\times3=27cm^2\)

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

Example Question #84 : Rectangles

What is the area of the rectangle? 

Screen shot 2015 11 10 at 12.28.05 pm 

 

Possible Answers:

\(\displaystyle 43cm^2\)

\(\displaystyle 47cm^2\)

\(\displaystyle 44cm^2\)

\(\displaystyle 45cm^2\)

\(\displaystyle 46cm^2\)

Correct answer:

\(\displaystyle 45cm^2\)

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. 

\(\displaystyle 9\times5=45cm^2\)

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

Example Question #381 : Quadrilaterals

What is the area of the rectangle? 

Screen shot 2015 11 10 at 12.27.24 pm 

 

Possible Answers:

\(\displaystyle 23cm^2\)

\(\displaystyle 20cm^2\)

\(\displaystyle 21cm^2\)

\(\displaystyle 22cm^2\)

\(\displaystyle 19cm^2\)

Correct answer:

\(\displaystyle 21cm^2\)

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. 

\(\displaystyle 3\times7=21cm^2\)

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

Example Question #1711 : Common Core Math: Grade 3

What is the area of the rectangle? 

Screen shot 2015 11 10 at 12.27.06 pm 

 

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. 

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