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ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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 #516 : Geometry

What is the length of a room with a perimeter of 40ft $\displaystyle 40ft$ and a width of 8ft? $\displaystyle 8ft?$

Possible Answers:

14ft $\displaystyle 14ft$

10ft $\displaystyle 10ft$

13ft $\displaystyle 13ft$

11ft $\displaystyle 11ft$

12ft $\displaystyle 12ft$

Correct answer:

12ft $\displaystyle 12ft$

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.

$\displaystyle 40=2l+2(8)$

$\displaystyle 40=2l+16$

Subtract $\displaystyle 16$ from both sides

$\displaystyle 40-16=2l+16-16$

24=2l $\displaystyle 24=2l$

Divide $\displaystyle 2$ by both sides

$\frac{24}{2}=\frac{2l}{2}$ $\displaystyle \frac{24}{2}=\frac{2l}{2}$

12=l $\displaystyle 12=l$

Report an Error

Example Question #517 : Geometry

What is the length of a room with a perimeter of 98ft $\displaystyle 98ft$ and a width of 28ft? $\displaystyle 28ft?$

Possible Answers:

22ft $\displaystyle 22ft$

20ft $\displaystyle 20ft$

24ft $\displaystyle 24ft$

23ft $\displaystyle 23ft$

21ft $\displaystyle 21ft$

Correct answer:

21ft $\displaystyle 21ft$

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.

$\displaystyle 98=2l+2(28)$

$\displaystyle 98=2l+56$

Subtract $\displaystyle 56$ from both sides

$\displaystyle 98-56=2l+56-56$

42=2l $\displaystyle 42=2l$

Divide $\displaystyle 2$ by both sides

$\frac{42}{2}=\frac{2l}{2}$ $\displaystyle \frac{42}{2}=\frac{2l}{2}$

21=l $\displaystyle 21=l$

Report an Error

Example Question #81 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a room with a perimeter of 70ft $\displaystyle 70ft$ and a width of 14ft? $\displaystyle 14ft?$

Possible Answers:

21ft $\displaystyle 21ft$

22ft $\displaystyle 22ft$

24ft $\displaystyle 24ft$

25ft $\displaystyle 25ft$

23ft $\displaystyle 23ft$

Correct answer:

21ft $\displaystyle 21ft$

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.

$\displaystyle 70=2l+2(14)$

$\displaystyle 70=2l+28$

Subtract $\displaystyle 28$ from both sides

$\displaystyle 70-28=2l+28-28$

42=2l $\displaystyle 42=2l$

Divide $\displaystyle 2$ by both sides

$\frac{42}{2}=\frac{2l}{2}$ $\displaystyle \frac{42}{2}=\frac{2l}{2}$

21=l $\displaystyle 21=l$

Report an Error

Example Question #82 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a room with a perimeter of 42ft $\displaystyle 42ft$ and a width of 10ft? $\displaystyle 10ft?$

Possible Answers:

11ft $\displaystyle 11ft$

8ft $\displaystyle 8ft$

9ft $\displaystyle 9ft$

10ft $\displaystyle 10ft$

12ft $\displaystyle 12ft$

Correct answer:

11ft $\displaystyle 11ft$

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.

$\displaystyle 42=2l+2(10)$

$\displaystyle 42=2l+20$

Subtract $\displaystyle 20$ from both sides

$\displaystyle 42-20=2l+20-20$

22=2l $\displaystyle 22=2l$

Divide $\displaystyle 2$ by both sides

$\frac{22}{2}=\frac{2l}{2}$ $\displaystyle \frac{22}{2}=\frac{2l}{2}$

11=l $\displaystyle 11=l$

Report an Error

Example Question #202 : Measurement & Data

What is the length of a room with a perimeter of 52ft $\displaystyle 52ft$ and a width of 13ft? $\displaystyle 13ft?$

Possible Answers:

14ft $\displaystyle 14ft$

13ft $\displaystyle 13ft$

12ft $\displaystyle 12ft$

15ft $\displaystyle 15ft$

16ft $\displaystyle 16ft$

Correct answer:

13ft $\displaystyle 13ft$

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.

$\displaystyle 52=2l+2(13)$

$\displaystyle 52=2l+26$

Subtract $\displaystyle 26$ from both sides

$\displaystyle 52-26=2l+26-26$

26=2l $\displaystyle 26=2l$

Divide $\displaystyle 2$ by both sides

$\frac{26}{2}=\frac{2l}{2}$ $\displaystyle \frac{26}{2}=\frac{2l}{2}$

13=l $\displaystyle 13=l$

Report an Error

Example Question #1391 : Common Core Math: Grade 4

What is the length of a room with a perimeter of 38ft $\displaystyle 38ft$ and a width of 6ft? $\displaystyle 6ft?$

Possible Answers:

17ft $\displaystyle 17ft$

16ft $\displaystyle 16ft$

15ft $\displaystyle 15ft$

14ft $\displaystyle 14ft$

13ft $\displaystyle 13ft$

Correct answer:

13ft $\displaystyle 13ft$

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.

$\displaystyle 38=2l+2(6)$

$\displaystyle 38=2l+12$

Subtract $\displaystyle 12$ from both sides

$\displaystyle 38-12=2l+12-12$

26=2l $\displaystyle 26=2l$

Divide $\displaystyle 2$ by both sides

$\frac{26}{2}=\frac{2l}{2}$ $\displaystyle \frac{26}{2}=\frac{2l}{2}$

13=l $\displaystyle 13=l$

Report an Error

Example Question #522 : Plane Geometry

What is the length of a room with a perimeter of 36ft $\displaystyle 36ft$ and a width of 10ft? $\displaystyle 10ft?$

Possible Answers:

10ft $\displaystyle 10ft$

7ft $\displaystyle 7ft$

9ft $\displaystyle 9ft$

11ft $\displaystyle 11ft$

8ft $\displaystyle 8ft$

Correct answer:

8ft $\displaystyle 8ft$

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.

$\displaystyle 36=2l+2(10)$

$\displaystyle 36=2l+20$

Subtract $\displaystyle 20$ from both sides

$\displaystyle 36-20=2l+20-20$

16=2l $\displaystyle 16=2l$

Divide $\displaystyle 2$ by both sides

$\frac{16}{2}=\frac{2l}{2}$ $\displaystyle \frac{16}{2}=\frac{2l}{2}$

8=l $\displaystyle 8=l$

Report an Error

Example Question #5681 : Ssat Elementary Level Quantitative (Math)

What is the length of a room with a perimeter of 52ft $\displaystyle 52ft$ and a width of 11ft? $\displaystyle 11ft?$

Possible Answers:

13ft $\displaystyle 13ft$

15ft $\displaystyle 15ft$

16ft $\displaystyle 16ft$

17ft $\displaystyle 17ft$

14ft $\displaystyle 14ft$

Correct answer:

15ft $\displaystyle 15ft$

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.

$\displaystyle 52=2l+2(11)$

$\displaystyle 52=2l+22$

Subtract $\displaystyle 22$ from both sides

$\displaystyle 52-22=2l+22-22$

30=2l $\displaystyle 30=2l$

Divide $\displaystyle 2$ by both sides

$\frac{30}{2}=\frac{2l}{2}$ $\displaystyle \frac{30}{2}=\frac{2l}{2}$

15=l $\displaystyle 15=l$

Report an Error

Example Question #1392 : Common Core Math: Grade 4

What is the length of a room with a perimeter of 58ft $\displaystyle 58ft$ and a width of 19ft? $\displaystyle 19ft?$

Possible Answers:

9ft $\displaystyle 9ft$

7ft $\displaystyle 7ft$

8ft $\displaystyle 8ft$

10ft $\displaystyle 10ft$

11ft $\displaystyle 11ft$

Correct answer:

10ft $\displaystyle 10ft$

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.

$\displaystyle 58=2l+2(19)$

$\displaystyle 58=2l+38$

Subtract $\displaystyle 38$ from both sides

$\displaystyle 58-38=2l+38-38$

20=2l $\displaystyle 20=2l$

Divide $\displaystyle 2$ by both sides

$\frac{20}{2}=\frac{2l}{2}$ $\displaystyle \frac{20}{2}=\frac{2l}{2}$

10=l $\displaystyle 10=l$

Report an Error

Example Question #1393 : Common Core Math: Grade 4

What is the length of a room with a perimeter of 54ft $\displaystyle 54ft$ and a width of 17ft? $\displaystyle 17ft?$

Possible Answers:

9ft $\displaystyle 9ft$

8ft $\displaystyle 8ft$

6ft $\displaystyle 6ft$

7ft $\displaystyle 7ft$

10ft $\displaystyle 10ft$

Correct answer:

10ft $\displaystyle 10ft$

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.

$\displaystyle 54=2l+2(17)$

$\displaystyle 54=2l+34$

Subtract $\displaystyle 34$ from both sides

$\displaystyle 54-34=2l+34-34$

20=2l $\displaystyle 20=2l$

Divide $\displaystyle 2$ by both sides

$\frac{20}{2}=\frac{2l}{2}$ $\displaystyle \frac{20}{2}=\frac{2l}{2}$

10=l $\displaystyle 10=l$

Report an Error

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All ISEE Lower Level Quantitative Resources

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

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ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #516 : Geometry

Example Question #517 : Geometry

Example Question #81 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

Example Question #82 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

Example Question #202 : Measurement & Data

Example Question #1391 : Common Core Math: Grade 4

Example Question #522 : Plane Geometry

Example Question #5681 : Ssat Elementary Level Quantitative (Math)

Example Question #1392 : Common Core Math: Grade 4

Example Question #1393 : Common Core Math: Grade 4

All ISEE Lower Level Quantitative Resources

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