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ISEE Lower Level Quantitative : Geometry

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #110 : Solving For Length

What is the length of a yard with a perimeter of 14ft $\displaystyle 14ft$ and a width of 3ft? $\displaystyle 3ft?$

Possible Answers:

3ft $\displaystyle 3ft$

2ft $\displaystyle 2ft$

4ft $\displaystyle 4ft$

6ft $\displaystyle 6ft$

5ft $\displaystyle 5ft$

Correct answer:

4ft $\displaystyle 4ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 14=2l+2(3)$

14=2l+6 $\displaystyle 14=2l+6$

Subtract $\displaystyle 6$ from both sides

$\displaystyle 14-6=2l+6-6$

8=2l $\displaystyle 8=2l$

Divide $\displaystyle 2$ by both sides

$\frac{8}{2}=\frac{2l}{2}$ $\displaystyle \frac{8}{2}=\frac{2l}{2}$

4=l $\displaystyle 4=l$

Report an Error

Example Question #1411 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 30ft $\displaystyle 30ft$ and a width of 6ft? $\displaystyle 6ft?$

Possible Answers:

8ft $\displaystyle 8ft$

6ft $\displaystyle 6ft$

9ft $\displaystyle 9ft$

7ft $\displaystyle 7ft$

10ft $\displaystyle 10ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 30=2l+2(6)$

$\displaystyle 30=2l+12$

Subtract $\displaystyle 12$ from both sides

$\displaystyle 30-12=2l+12-12$

18=2l $\displaystyle 18=2l$

Divide $\displaystyle 2$ by both sides

$\frac{18}{2}=\frac{2l}{2}$ $\displaystyle \frac{18}{2}=\frac{2l}{2}$

9=l $\displaystyle 9=l$

Report an Error

Example Question #81 : Geometry

What is the length of a yard with a perimeter of 32ft $\displaystyle 32ft$ and a width of 9ft? $\displaystyle 9ft?$

Possible Answers:

3ft $\displaystyle 3ft$

5ft $\displaystyle 5ft$

7ft $\displaystyle 7ft$

4ft $\displaystyle 4ft$

6ft $\displaystyle 6ft$

Correct answer:

7ft $\displaystyle 7ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 32=2l+2(9)$

$\displaystyle 32=2l+18$

Subtract $\displaystyle 18$ from both sides

$\displaystyle 32-18=2l+18-18$

14=2l $\displaystyle 14=2l$

Divide $\displaystyle 2$ by both sides

$\frac{14}{2}=\frac{2l}{2}$ $\displaystyle \frac{14}{2}=\frac{2l}{2}$

7=l $\displaystyle 7=l$

Report an Error

Example Question #82 : Geometry

What is the length of a yard with a perimeter of 30ft $\displaystyle 30ft$ and a width of 10ft? $\displaystyle 10ft?$

Possible Answers:

6ft $\displaystyle 6ft$

7ft $\displaystyle 7ft$

9ft $\displaystyle 9ft$

8ft $\displaystyle 8ft$

5ft $\displaystyle 5ft$

Correct answer:

5ft $\displaystyle 5ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 30=2l+2(10)$

$\displaystyle 30=2l+20$

Subtract $\displaystyle 20$ from both sides

$\displaystyle 30-20=2l+20-20$

10=2l $\displaystyle 10=2l$

Divide $\displaystyle 2$ by both sides

$\frac{10}{2}=\frac{2l}{2}$ $\displaystyle \frac{10}{2}=\frac{2l}{2}$

5=l $\displaystyle 5=l$

Report an Error

Example Question #1421 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 34ft $\displaystyle 34ft$ and a width of 8ft? $\displaystyle 8ft?$

Possible Answers:

12ft $\displaystyle 12ft$

8ft $\displaystyle 8ft$

10ft $\displaystyle 10ft$

9ft $\displaystyle 9ft$

11ft $\displaystyle 11ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 34=2l+2(8)$

$\displaystyle 34=2l+16$

Subtract $\displaystyle 16$ from both sides

$\displaystyle 34-16=2l+16-16$

18=2l $\displaystyle 18=2l$

Divide $\displaystyle 2$ by both sides

$\frac{18}{2}=\frac{2l}{2}$ $\displaystyle \frac{18}{2}=\frac{2l}{2}$

9=l $\displaystyle 9=l$

Report an Error

Example Question #1422 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 18ft $\displaystyle 18ft$ and a width of 4ft? $\displaystyle 4ft?$

Possible Answers:

6ft $\displaystyle 6ft$

3ft $\displaystyle 3ft$

5ft $\displaystyle 5ft$

7ft $\displaystyle 7ft$

4ft $\displaystyle 4ft$

Correct answer:

5ft $\displaystyle 5ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 18=2l+2(4)$

18=2l+8 $\displaystyle 18=2l+8$

Subtract $\displaystyle 8$ from both sides

$\displaystyle 18-8=2l+8-8$

10=2l $\displaystyle 10=2l$

Divide $\displaystyle 2$ by both sides

$\frac{10}{2}=\frac{2l}{2}$ $\displaystyle \frac{10}{2}=\frac{2l}{2}$

5=l $\displaystyle 5=l$

Report an Error

Example Question #1423 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 24ft $\displaystyle 24ft$ and a width of 5ft? $\displaystyle 5ft?$

Possible Answers:

7ft $\displaystyle 7ft$

5ft $\displaystyle 5ft$

6ft $\displaystyle 6ft$

8ft $\displaystyle 8ft$

4ft $\displaystyle 4ft$

Correct answer:

7ft $\displaystyle 7ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 24=2l+2(5)$

$\displaystyle 24=2l+10$

Subtract $\displaystyle 10$ from both sides

$\displaystyle 24-10=2l+10-10$

14=2l $\displaystyle 14=2l$

Divide $\displaystyle 2$ by both sides

$\frac{14}{2}=\frac{2l}{2}$ $\displaystyle \frac{14}{2}=\frac{2l}{2}$

7=l $\displaystyle 7=l$

Report an Error

Example Question #1424 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 20ft $\displaystyle 20ft$ and a width of 6ft? $\displaystyle 6ft?$

Possible Answers:

7ft $\displaystyle 7ft$

6ft $\displaystyle 6ft$

5ft $\displaystyle 5ft$

8ft $\displaystyle 8ft$

4ft $\displaystyle 4ft$

Correct answer:

4ft $\displaystyle 4ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 20=2l+2(6)$

$\displaystyle 20=2l+12$

Subtract $\displaystyle 12$ from both sides

$\displaystyle 20-12=2l+12-12$

8=2l $\displaystyle 8=2l$

Divide $\displaystyle 2$ by both sides

$\frac{8}{2}=\frac{2l}{2}$ $\displaystyle \frac{8}{2}=\frac{2l}{2}$

4=l $\displaystyle 4=l$

Report an Error

Example Question #1425 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 14ft $\displaystyle 14ft$ and a width of 5ft? $\displaystyle 5ft?$

Possible Answers:

5ft $\displaystyle 5ft$

3ft $\displaystyle 3ft$

4ft $\displaystyle 4ft$

2ft $\displaystyle 2ft$

1ft $\displaystyle 1ft$

Correct answer:

2ft $\displaystyle 2ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 14=2l+2(5)$

$\displaystyle 14=2l+10$

Subtract $\displaystyle 10$ from both sides

$\displaystyle 14-10=2l+10-10$

4=2l $\displaystyle 4=2l$

Divide $\displaystyle 2$ by both sides

$\frac{4}{2}=\frac{2l}{2}$ $\displaystyle \frac{4}{2}=\frac{2l}{2}$

2=l $\displaystyle 2=l$

Report an Error

Example Question #1426 : Common Core Math: Grade 4

What is the length of a yard with a perimeter of 22ft $\displaystyle 22ft$ and a width of 2ft? $\displaystyle 2ft?$

Possible Answers:

7ft $\displaystyle 7ft$

9ft $\displaystyle 9ft$

8ft $\displaystyle 8ft$

5ft $\displaystyle 5ft$

6ft $\displaystyle 6ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 22=2l+2(2)$

22=2l+4 $\displaystyle 22=2l+4$

Subtract $\displaystyle 4$ from both sides

$\displaystyle 22-4=2l+4-4$

18=2l $\displaystyle 18=2l$

Divide $\displaystyle 2$ by both sides

$\frac{18}{2}=\frac{2l}{2}$ $\displaystyle \frac{18}{2}=\frac{2l}{2}$

9=l $\displaystyle 9=l$

Report an Error

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Geometry

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #110 : Solving For Length

Example Question #1411 : Common Core Math: Grade 4

Example Question #81 : Geometry

Example Question #82 : Geometry

Example Question #1421 : Common Core Math: Grade 4

Example Question #1422 : Common Core Math: Grade 4

Example Question #1423 : Common Core Math: Grade 4

Example Question #1424 : Common Core Math: Grade 4

Example Question #1425 : Common Core Math: Grade 4

Example Question #1426 : Common Core Math: Grade 4

All ISEE Lower Level Quantitative Resources

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